diff --git a/.gitattributes b/.gitattributes index feef68474276cc3f96c002d80ebfae98a14ab6d4..2aaf19900a6a67d7921408df87b1164e87288821 100644 --- a/.gitattributes +++ b/.gitattributes @@ -220,3 +220,4 @@ minimum_fuel_cost_to_report_to_the_capital/meta.json filter=lfs diff=lfs merge=l minimum_impossible_or/meta.json filter=lfs diff=lfs merge=lfs -text minimum_lines_to_represent_a_line_chart/meta.json filter=lfs diff=lfs merge=lfs -text minimum_money_required_before_transactions/meta.json filter=lfs diff=lfs merge=lfs -text +minimum_number_of_coins_to_be_added/meta.json filter=lfs diff=lfs merge=lfs -text diff --git a/minimum_moves_to_pick_k_ones/java_tests/Main.java b/minimum_moves_to_pick_k_ones/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..a06687c5bf145b0665b29b621ce105067640f84f --- /dev/null +++ b/minimum_moves_to_pick_k_ones/java_tests/Main.java @@ -0,0 +1,21 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(3, minimumMoves(new ArrayList<>(Arrays.asList(1,1,0,0,0,1,1,0,0,1)), 3, 1)); +} +@Test +public void test2() { + assertEquals(4, minimumMoves(new ArrayList<>(Arrays.asList(0,0,0,0)), 2, 3)); +} + +} diff --git a/minimum_moves_to_pick_k_ones/meta.json b/minimum_moves_to_pick_k_ones/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..021ce3ea44ac74da8be8f7569cf98bd0a7e125e3 --- /dev/null +++ b/minimum_moves_to_pick_k_ones/meta.json @@ -0,0 +1,388020 @@ +{ + "id": 3327, + "name": "minimum_moves_to_pick_k_ones", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/minimum-moves-to-pick-k-ones/", + "date": "2024-03-10 00:00:00", + "task_description": "You are given a binary array `nums` of length `n`, a **positive** integer `k` and a **non-negative** integer `maxChanges`. Alice plays a game, where the goal is for Alice to pick up `k` ones from `nums` using the **minimum** number of **moves**. When the game starts, Alice picks up any index `aliceIndex` in the range `[0, n - 1]` and stands there. If `nums[aliceIndex] == 1` , Alice picks up the one and `nums[aliceIndex]` becomes `0`(this **does not** count as a move). After this, Alice can make **any** number of **moves** (**including** **zero**) where in each move Alice must perform **exactly** one of the following actions: Select any index `j != aliceIndex` such that `nums[j] == 0` and set `nums[j] = 1`. This action can be performed **at** **most** `maxChanges` times. Select any two adjacent indices `x` and `y` (`|x - y| == 1`) such that `nums[x] == 1`, `nums[y] == 0`, then swap their values (set `nums[y] = 1` and `nums[x] = 0`). If `y == aliceIndex`, Alice picks up the one after this move and `nums[y]` becomes `0`. Return _the **minimum** number of moves required by Alice to pick **exactly **_`k` _ones_. **Example 1:** **Input: **nums = [1,1,0,0,0,1,1,0,0,1], k = 3, maxChanges = 1 **Output: **3 **Explanation:** Alice can pick up `3` ones in `3` moves, if Alice performs the following actions in each move when standing at `aliceIndex == 1`: At the start of the game Alice picks up the one and `nums[1]` becomes `0`. `nums` becomes `[1,**0**,0,0,0,1,1,0,0,1]`. Select `j == 2` and perform an action of the first type. `nums` becomes `[1,**0**,1,0,0,1,1,0,0,1]` Select `x == 2` and `y == 1`, and perform an action of the second type. `nums` becomes `[1,**1**,0,0,0,1,1,0,0,1]`. As `y == aliceIndex`, Alice picks up the one and `nums` becomes `[1,**0**,0,0,0,1,1,0,0,1]`. Select `x == 0` and `y == 1`, and perform an action of the second type. `nums` becomes `[0,**1**,0,0,0,1,1,0,0,1]`. As `y == aliceIndex`, Alice picks up the one and `nums` becomes `[0,**0**,0,0,0,1,1,0,0,1]`. Note that it may be possible for Alice to pick up `3` ones using some other sequence of `3` moves. **Example 2:** **Input: **nums = [0,0,0,0], k = 2, maxChanges = 3 **Output: **4 **Explanation:** Alice can pick up `2` ones in `4` moves, if Alice performs the following actions in each move when standing at `aliceIndex == 0`: Select `j == 1` and perform an action of the first type. `nums` becomes `[**0**,1,0,0]`. Select `x == 1` and `y == 0`, and perform an action of the second type. `nums` becomes `[**1**,0,0,0]`. As `y == aliceIndex`, Alice picks up the one and `nums` becomes `[**0**,0,0,0]`. Select `j == 1` again and perform an action of the first type. `nums` becomes `[**0**,1,0,0]`. Select `x == 1` and `y == 0` again, and perform an action of the second type. `nums` becomes `[**1**,0,0,0]`. As `y == aliceIndex`, Alice picks up the one and `nums` becomes `[**0**,0,0,0]`. **Constraints:** `2 <= n <= 105` `0 <= nums[i] <= 1` `1 <= k <= 105` `0 <= maxChanges <= 105` `maxChanges + sum(nums) >= k`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [1,1,0,0,0,1,1,0,0,1], k = 3, maxChanges = 1", + "output": "3 " + }, + { + "label": "Example 2", + "input": "nums = [0,0,0,0], k = 2, maxChanges = 3", + "output": "4 " + } + ], + "private_test_cases": [ + { + "input": [ + [ + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 0, + 1, + 1, + 1, + 1, + 0, + 1, + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 0, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 1, + 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maxChanges) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimumMoves(self, nums, k, maxChanges):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :type maxChanges: int\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_moves_to_pick_k_ones/ocaml_tests/main.ml b/minimum_moves_to_pick_k_ones/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..9485a11903c9f33b5a8fa527091a196ac06ec1de --- /dev/null +++ b/minimum_moves_to_pick_k_ones/ocaml_tests/main.ml @@ -0,0 +1,47 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 3 (minimumMoves [1;1;0;0;0;1;1;0;0;1] 3 1) + +let test2 _ = assert_equal 4 (minimumMoves [0;0;0;0] 2 3) + +let test3 _ = assert_equal 132981634 (minimumMoves [1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 1; 0; 1; 1; 1; 1; 0; 1; 0; 1; 1; 1; 1; 1; 1; 1; 1; 1; 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1; 0; 0; 0; 1; 0; 0; 0; 0; 0; 1; 0; 0; 0; 0; 0; 0; 0; 0; 0; 1; 0; 1; 0; 0; 0; 0; 1; 0; 0; 1; 0; 0; 0; 0; 0; 0; 0; 0; 0; 1; 0; 0; 0; 0; 0; 0; 1; 0; 0; 1; 0; 0; 0; 0; 1; 0] 1780 41285) + + + (* Grouping test cases *) + let suite = "Test Suite for minimumMoves" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + "test9" >:: test9; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_moves_to_pick_k_ones/scala_tests/MySuite.scala b/minimum_moves_to_pick_k_ones/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..453e0c64ce2709bdd8a2282ee05c6e1188a5e75d --- /dev/null +++ b/minimum_moves_to_pick_k_ones/scala_tests/MySuite.scala @@ -0,0 +1,40 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimumMoves(List(1,1,0,0,0,1,1,0,0,1),3,1), 3) + } + + test("test2") { + assertEquals(Main.minimumMoves(List(0,0,0,0),2,3), 4) + } + + test("test3") { + assertEquals(Main.minimumMoves(List(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 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1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1),1637,1177), 73486) + } + + test("test9") { + assertEquals(Main.minimumMoves(List(0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 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org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(3, minimumMoves(Arrays.asList(Arrays.asList(1,1,0),Arrays.asList(1,1,1),Arrays.asList(1,2,1)))); +} +@Test +public void test2() { + assertEquals(4, minimumMoves(Arrays.asList(Arrays.asList(1,3,0),Arrays.asList(1,0,0),Arrays.asList(1,0,3)))); +} + +} diff --git a/minimum_number_game/haskell_tests/Main.hs b/minimum_number_game/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..72732b3435ec674f5087c761a29172d63e1ecd0f --- /dev/null +++ b/minimum_number_game/haskell_tests/Main.hs @@ -0,0 +1,41 @@ + +module Main where +import Test.HUnit + +--Program start +numberGame :: [Int] -> [Int] +numberGame nums = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (numberGame [5,4,2,3])," [3,2,5,4] (numberGame [5,4,2,3])) + +test2 :: Test +test2 = TestCase (assertEqual "for (numberGame [2,5])," [5,2] (numberGame [2,5])) + +test3 :: Test +test3 = TestCase (assertEqual "for (numberGame [23, 20, 50, 50, 96, 59])," [23,20,50,50,96,59] (numberGame [23, 20, 50, 50, 96, 59])) + +test4 :: Test +test4 = TestCase (assertEqual "for (numberGame [1, 1, 2, 2, 8, 5, 12, 9, 15, 13, 15, 15, 19, 18, 22, 22, 25, 24, 28, 28, 31, 29, 32, 31, 43, 40, 46, 44, 51, 48, 54, 51, 63, 58, 65, 64, 65, 65, 68, 68, 75, 72, 78, 76, 79, 79, 82, 80, 86, 84, 91, 90, 93, 91, 94, 94, 97, 95, 98, 97])," [1,1,2,2,8,5,12,9,15,13,15,15,19,18,22,22,25,24,28,28,31,29,32,31,43,40,46,44,51,48,54,51,63,58,65,64,65,65,68,68,75,72,78,76,79,79,82,80,86,84,91,90,93,91,94,94,97,95,98,97] (numberGame [1, 1, 2, 2, 8, 5, 12, 9, 15, 13, 15, 15, 19, 18, 22, 22, 25, 24, 28, 28, 31, 29, 32, 31, 43, 40, 46, 44, 51, 48, 54, 51, 63, 58, 65, 64, 65, 65, 68, 68, 75, 72, 78, 76, 79, 79, 82, 80, 86, 84, 91, 90, 93, 91, 94, 94, 97, 95, 98, 97])) + +test5 :: Test +test5 = TestCase (assertEqual "for (numberGame [2, 1, 10, 5, 11, 11, 22, 13, 29, 28, 43, 29, 47, 46, 55, 51, 59, 59, 64, 62, 72, 66, 73, 72, 75, 74, 85, 81, 86, 86, 91, 91, 94, 91])," [2,1,10,5,11,11,22,13,29,28,43,29,47,46,55,51,59,59,64,62,72,66,73,72,75,74,85,81,86,86,91,91,94,91] (numberGame [2, 1, 10, 5, 11, 11, 22, 13, 29, 28, 43, 29, 47, 46, 55, 51, 59, 59, 64, 62, 72, 66, 73, 72, 75, 74, 85, 81, 86, 86, 91, 91, 94, 91])) + +test6 :: Test +test6 = TestCase (assertEqual "for (numberGame [3, 1, 3, 3, 11, 10, 12, 12, 15, 14, 25, 17, 31, 27, 34, 33, 37, 36, 41, 40, 44, 42, 47, 44, 49, 48, 50, 49, 50, 50, 52, 52, 58, 57, 60, 58, 67, 65, 68, 67, 69, 69, 81, 78, 84, 83, 93, 90, 94, 94])," [3,1,3,3,11,10,12,12,15,14,25,17,31,27,34,33,37,36,41,40,44,42,47,44,49,48,50,49,50,50,52,52,58,57,60,58,67,65,68,67,69,69,81,78,84,83,93,90,94,94] (numberGame [3, 1, 3, 3, 11, 10, 12, 12, 15, 14, 25, 17, 31, 27, 34, 33, 37, 36, 41, 40, 44, 42, 47, 44, 49, 48, 50, 49, 50, 50, 52, 52, 58, 57, 60, 58, 67, 65, 68, 67, 69, 69, 81, 78, 84, 83, 93, 90, 94, 94])) + +test7 :: Test +test7 = TestCase (assertEqual "for (numberGame [7, 6, 16, 15, 20, 19, 24, 21, 26, 25, 27, 26, 30, 27, 39, 33, 44, 41, 46, 46, 52, 49, 55, 52, 58, 58, 61, 59, 61, 61, 66, 66, 68, 68, 69, 69, 80, 78, 85, 83, 90, 89, 97, 90])," [7,6,16,15,20,19,24,21,26,25,27,26,30,27,39,33,44,41,46,46,52,49,55,52,58,58,61,59,61,61,66,66,68,68,69,69,80,78,85,83,90,89,97,90] (numberGame [7, 6, 16, 15, 20, 19, 24, 21, 26, 25, 27, 26, 30, 27, 39, 33, 44, 41, 46, 46, 52, 49, 55, 52, 58, 58, 61, 59, 61, 61, 66, 66, 68, 68, 69, 69, 80, 78, 85, 83, 90, 89, 97, 90])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_game/java_tests/Main.java b/minimum_number_game/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..570640d3d0a39277ac8ca5ef48d6627f0b407d24 --- /dev/null +++ b/minimum_number_game/java_tests/Main.java @@ -0,0 +1,20 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(Arrays.asList(3,2,5,4), numberGame(Arrays.asList(5,4,2,3))); +} +@Test +public void test2() { + assertEquals(Arrays.asList(5,2), numberGame(Arrays.asList(2,5))); +} + +} diff --git a/minimum_number_game/meta.json b/minimum_number_game/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..a482c69a38566d7bc53b4ad1bd1e3bfee488dfd3 --- /dev/null +++ b/minimum_number_game/meta.json @@ -0,0 +1,445 @@ +{ + "id": 3226, + "name": "minimum_number_game", + "difficulty": "Easy", + "link": "https://leetcode.com/problems/minimum-number-game/", + "date": "2023-12-17 00:00:00", + "task_description": "You are given a **0-indexed** integer array `nums` of **even** length and there is also an empty array `arr`. Alice and Bob decided to play a game where in every round Alice and Bob will do one move. The rules of the game are as follows: Every round, first Alice will remove the **minimum** element from `nums`, and then Bob does the same. Now, first Bob will append the removed element in the array `arr`, and then Alice does the same. The game continues until `nums` becomes empty. Return _the resulting array _`arr`. **Example 1:** ``` **Input:** nums = [5,4,2,3] **Output:** [3,2,5,4] **Explanation:** In round one, first Alice removes 2 and then Bob removes 3. Then in arr firstly Bob appends 3 and then Alice appends 2. So arr = [3,2]. At the begining of round two, nums = [5,4]. Now, first Alice removes 4 and then Bob removes 5. Then both append in arr which becomes [3,2,5,4]. ``` **Example 2:** ``` **Input:** nums = [2,5] **Output:** [5,2] **Explanation:** In round one, first Alice removes 2 and then Bob removes 5. Then in arr firstly Bob appends and then Alice appends. So arr = [5,2]. ``` **Constraints:** `2 <= nums.length <= 100` `1 <= nums[i] <= 100` `nums.length % 2 == 0`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [5,4,2,3]", + "output": "[3,2,5,4] " + }, + { + "label": "Example 2", + "input": "nums = [2,5]", + "output": "[5,2] " + } + ], + "private_test_cases": [ + { + "input": [ + 23, + 20, + 50, + 50, + 96, + 59 + ], + "output": [ + 23, + 20, + 50, + 50, + 96, + 59 + ] + }, + { + "input": [ + 1, + 1, + 2, + 2, + 8, + 5, + 12, + 9, + 15, + 13, + 15, + 15, + 19, + 18, + 22, + 22, + 25, + 24, + 28, + 28, + 31, + 29, + 32, + 31, + 43, + 40, + 46, + 44, + 51, + 48, + 54, + 51, + 63, + 58, + 65, + 64, + 65, + 65, + 68, + 68, + 75, + 72, + 78, + 76, + 79, + 79, + 82, + 80, + 86, + 84, + 91, + 90, + 93, + 91, + 94, + 94, + 97, + 95, + 98, + 97 + ], + "output": [ + 1, + 1, + 2, + 2, + 8, + 5, + 12, + 9, + 15, + 13, + 15, + 15, + 19, + 18, + 22, + 22, + 25, + 24, + 28, + 28, + 31, + 29, + 32, + 31, + 43, + 40, + 46, + 44, + 51, + 48, + 54, + 51, + 63, + 58, + 65, + 64, + 65, + 65, + 68, + 68, + 75, + 72, + 78, + 76, + 79, + 79, + 82, + 80, + 86, + 84, + 91, + 90, + 93, + 91, + 94, + 94, + 97, + 95, + 98, + 97 + ] + }, + { + "input": [ + 2, + 1, + 10, + 5, + 11, + 11, + 22, + 13, + 29, + 28, + 43, + 29, + 47, + 46, + 55, + 51, + 59, + 59, + 64, + 62, + 72, + 66, + 73, + 72, + 75, + 74, + 85, + 81, + 86, + 86, + 91, + 91, + 94, + 91 + ], + "output": [ + 2, + 1, + 10, + 5, + 11, + 11, + 22, + 13, + 29, + 28, + 43, + 29, + 47, + 46, + 55, + 51, + 59, + 59, + 64, + 62, + 72, + 66, + 73, + 72, + 75, + 74, + 85, + 81, + 86, + 86, + 91, + 91, + 94, + 91 + ] + }, + { + "input": [ + 3, + 1, + 3, + 3, + 11, + 10, + 12, + 12, + 15, + 14, + 25, + 17, + 31, + 27, + 34, + 33, + 37, + 36, + 41, + 40, + 44, + 42, + 47, + 44, + 49, + 48, + 50, + 49, + 50, + 50, + 52, + 52, + 58, + 57, + 60, + 58, + 67, + 65, + 68, + 67, + 69, + 69, + 81, + 78, + 84, + 83, + 93, + 90, + 94, + 94 + ], + "output": [ + 3, + 1, + 3, + 3, + 11, + 10, + 12, + 12, + 15, + 14, + 25, + 17, + 31, + 27, + 34, + 33, + 37, + 36, + 41, + 40, + 44, + 42, + 47, + 44, + 49, + 48, + 50, + 49, + 50, + 50, + 52, + 52, + 58, + 57, + 60, + 58, + 67, + 65, + 68, + 67, + 69, + 69, + 81, + 78, + 84, + 83, + 93, + 90, + 94, + 94 + ] + }, + { + "input": [ + 7, + 6, + 16, + 15, + 20, + 19, + 24, + 21, + 26, + 25, + 27, + 26, + 30, + 27, + 39, + 33, + 44, + 41, + 46, + 46, + 52, + 49, + 55, + 52, + 58, + 58, + 61, + 59, + 61, + 61, + 66, + 66, + 68, + 68, + 69, + 69, + 80, + 78, + 85, + 83, + 90, + 89, + 97, + 90 + ], + "output": [ + 7, + 6, + 16, + 15, + 20, + 19, + 24, + 21, + 26, + 25, + 27, + 26, + 30, + 27, + 39, + 33, + 44, + 41, + 46, + 46, + 52, + 49, + 55, + 52, + 58, + 58, + 61, + 59, + 61, + 61, + 66, + 66, + 68, + 68, + 69, + 69, + 80, + 78, + 85, + 83, + 90, + 89, + 97, + 90 + ] + } + ], + "haskell_template": "numberGame :: [Int] -> [Int]\nnumberGame nums ", + "ocaml_template": "let numberGame (nums: int list) : int list = ", + "scala_template": "def numberGame(nums: List[Int]): List[Int] = { \n \n}", + "java_template": "class Solution {\n public int[] numberGame(int[] nums) {\n \n }\n}", + "python_template": "class Solution(object):\n def numberGame(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[int]\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_number_game/ocaml_tests/main.ml b/minimum_number_game/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..089e83c10b4c61949dd84e19ffe0cbf87c3b5f4f --- /dev/null +++ b/minimum_number_game/ocaml_tests/main.ml @@ -0,0 +1,42 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let numberGame (nums: int list) : int list = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal [3;2;5;4] (numberGame [5;4;2;3]) + +let test2 _ = assert_equal [5;2] (numberGame [2;5]) + +let test3 _ = assert_equal [5;2] (numberGame [23; 20; 50; 50; 96; 59]) + +let test4 _ = assert_equal [5;2] (numberGame [1; 1; 2; 2; 8; 5; 12; 9; 15; 13; 15; 15; 19; 18; 22; 22; 25; 24; 28; 28; 31; 29; 32; 31; 43; 40; 46; 44; 51; 48; 54; 51; 63; 58; 65; 64; 65; 65; 68; 68; 75; 72; 78; 76; 79; 79; 82; 80; 86; 84; 91; 90; 93; 91; 94; 94; 97; 95; 98; 97]) + +let test5 _ = assert_equal [5;2] (numberGame [2; 1; 10; 5; 11; 11; 22; 13; 29; 28; 43; 29; 47; 46; 55; 51; 59; 59; 64; 62; 72; 66; 73; 72; 75; 74; 85; 81; 86; 86; 91; 91; 94; 91]) + +let test6 _ = assert_equal [5;2] (numberGame [3; 1; 3; 3; 11; 10; 12; 12; 15; 14; 25; 17; 31; 27; 34; 33; 37; 36; 41; 40; 44; 42; 47; 44; 49; 48; 50; 49; 50; 50; 52; 52; 58; 57; 60; 58; 67; 65; 68; 67; 69; 69; 81; 78; 84; 83; 93; 90; 94; 94]) + +let test7 _ = assert_equal [5;2] (numberGame [7; 6; 16; 15; 20; 19; 24; 21; 26; 25; 27; 26; 30; 27; 39; 33; 44; 41; 46; 46; 52; 49; 55; 52; 58; 58; 61; 59; 61; 61; 66; 66; 68; 68; 69; 69; 80; 78; 85; 83; 90; 89; 97; 90]) + + + (* Grouping test cases *) + let suite = "Test Suite for numberGame" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_game/scala_tests/MySuite.scala b/minimum_number_game/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..d4883cf97a2162862460020ef08097761f930bb2 --- /dev/null +++ b/minimum_number_game/scala_tests/MySuite.scala @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.numberGame(List(5,4,2,3)), List(3,2,5,4)) + } + + test("test2") { + assertEquals(Main.numberGame(List(2,5)), List(5,2)) + } + + test("test3") { + assertEquals(Main.numberGame(23,20,50,50,96,59), List(23,20,50,50,96,59)) + } + + test("test4") { + assertEquals(Main.numberGame(1,1,2,2,8,5,12,9,15,13,15,15,19,18,22,22,25,24,28,28,31,29,32,31,43,40,46,44,51,48,54,51,63,58,65,64,65,65,68,68,75,72,78,76,79,79,82,80,86,84,91,90,93,91,94,94,97,95,98,97), List(1,1,2,2,8,5,12,9,15,13,15,15,19,18,22,22,25,24,28,28,31,29,32,31,43,40,46,44,51,48,54,51,63,58,65,64,65,65,68,68,75,72,78,76,79,79,82,80,86,84,91,90,93,91,94,94,97,95,98,97)) + } + + test("test5") { + assertEquals(Main.numberGame(2,1,10,5,11,11,22,13,29,28,43,29,47,46,55,51,59,59,64,62,72,66,73,72,75,74,85,81,86,86,91,91,94,91), List(2,1,10,5,11,11,22,13,29,28,43,29,47,46,55,51,59,59,64,62,72,66,73,72,75,74,85,81,86,86,91,91,94,91)) + } + + test("test6") { + assertEquals(Main.numberGame(3,1,3,3,11,10,12,12,15,14,25,17,31,27,34,33,37,36,41,40,44,42,47,44,49,48,50,49,50,50,52,52,58,57,60,58,67,65,68,67,69,69,81,78,84,83,93,90,94,94), List(3,1,3,3,11,10,12,12,15,14,25,17,31,27,34,33,37,36,41,40,44,42,47,44,49,48,50,49,50,50,52,52,58,57,60,58,67,65,68,67,69,69,81,78,84,83,93,90,94,94)) + } + + test("test7") { + assertEquals(Main.numberGame(7,6,16,15,20,19,24,21,26,25,27,26,30,27,39,33,44,41,46,46,52,49,55,52,58,58,61,59,61,61,66,66,68,68,69,69,80,78,85,83,90,89,97,90), List(7,6,16,15,20,19,24,21,26,25,27,26,30,27,39,33,44,41,46,46,52,49,55,52,58,58,61,59,61,61,66,66,68,68,69,69,80,78,85,83,90,89,97,90)) + } + +} diff --git a/minimum_number_of_chairs_in_a_waiting_room/haskell_tests/Main.hs b/minimum_number_of_chairs_in_a_waiting_room/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..f4fe46add792393983d1084165773ef360ff9c73 --- /dev/null +++ b/minimum_number_of_chairs_in_a_waiting_room/haskell_tests/Main.hs @@ -0,0 +1,44 @@ + +module Main where +import Test.HUnit + +--Program start +minimumChairs :: String -> Int +minimumChairs s = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimumChairs \"EEEEEEE \")," 7 (minimumChairs "EEEEEEE")) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimumChairs \"ELELEEL \")," 2 (minimumChairs "ELELEEL")) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimumChairs \"ELEELEELLL \")," 3 (minimumChairs "ELEELEELLL")) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimumChairs \"LLLELEEELLELELELELEEE \")," 1 (minimumChairs "LLLELEEELLELELELELEEE")) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimumChairs \"LEEEEELLEELLEELLLLLLEEEELLLLLELLEEELLEELE \")," 4 (minimumChairs "LEEEEELLEELLEELLLLLLEEEELLLLLELLEEELLEELE")) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimumChairs \"LELLLELLELEELELELEELLLLLELEELELEEEELL \")," 0 (minimumChairs "LELLLELLELEELELELEELLLLLELEELELEEEELL")) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimumChairs \"ELELLLEEEELLELELEEELELEEEELELLLEELLELEELEELLLL \")," 6 (minimumChairs "ELELLLEEEELLELELEEELELEEEELELLLEELLELEELEELLLL")) + +test8 :: Test +test8 = TestCase (assertEqual "for (minimumChairs \"LLLEELELEELEELELLELLEEELLEELLELELLLEELEELLEEELLL \")," 1 (minimumChairs "LLLEELELEELEELELLELLEEELLEELLELELLLEELEELLEEELLL")) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_chairs_in_a_waiting_room/java_tests/Main.java b/minimum_number_of_chairs_in_a_waiting_room/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..b1fda895391c09d14bf4523bb3ab775f2a0d28a4 --- /dev/null +++ b/minimum_number_of_chairs_in_a_waiting_room/java_tests/Main.java @@ -0,0 +1,24 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(7, minimumChairs("EEEEEEE")); +} +@Test +public void test2() { + assertEquals(2, minimumChairs("ELELEEL")); +} +@Test +public void test3() { + assertEquals(3, minimumChairs("ELEELEELLL")); +} + +} diff --git a/minimum_number_of_chairs_in_a_waiting_room/meta.json b/minimum_number_of_chairs_in_a_waiting_room/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..81a710ceff59f0cc52fba78f0421538ff6a6b709 --- /dev/null +++ b/minimum_number_of_chairs_in_a_waiting_room/meta.json @@ -0,0 +1,52 @@ +{ + "id": 3426, + "name": "minimum_number_of_chairs_in_a_waiting_room", + "difficulty": "Easy", + "link": "https://leetcode.com/problems/minimum-number-of-chairs-in-a-waiting-room/", + "date": "2024-05-26 00:00:00", + "task_description": "You are given a string `s`. Simulate events at each second `i`: If `s[i] == 'E'`, a person enters the waiting room and takes one of the chairs in it. If `s[i] == 'L'`, a person leaves the waiting room, freeing up a chair. Return the **minimum **number of chairs needed so that a chair is available for every person who enters the waiting room given that it is initially **empty**. **Example 1:** **Input:** s = \"EEEEEEE\" **Output:** 7 **Explanation:** After each second, a person enters the waiting room and no person leaves it. Therefore, a minimum of 7 chairs is needed. **Example 2:** **Input:** s = \"ELELEEL\" **Output:** 2 **Explanation:** Let's consider that there are 2 chairs in the waiting room. The table below shows the state of the waiting room at each second. Second Event People in the Waiting Room Available Chairs 0 Enter 1 1 1 Leave 0 2 2 Enter 1 1 3 Leave 0 2 4 Enter 1 1 5 Enter 2 0 6 Leave 1 1 **Example 3:** **Input:** s = \"ELEELEELLL\" **Output:** 3 **Explanation:** Let's consider that there are 3 chairs in the waiting room. The table below shows the state of the waiting room at each second. Second Event People in the Waiting Room Available Chairs 0 Enter 1 2 1 Leave 0 3 2 Enter 1 2 3 Enter 2 1 4 Leave 1 2 5 Enter 2 1 6 Enter 3 0 7 Leave 2 1 8 Leave 1 2 9 Leave 0 3 **Constraints:** `1 <= s.length <= 50` `s` consists only of the letters `'E'` and `'L'`. `s` represents a valid sequence of entries and exits.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "s = \"EEEEEEE\"", + "output": "7 " + }, + { + "label": "Example 2", + "input": "s = \"ELELEEL\"", + "output": "2 " + }, + { + "label": "Example 3", + "input": "s = \"ELEELEELLL\"", + "output": "3 " + } + ], + "private_test_cases": [ + { + "input": "LLLELEEELLELELELELEEE", + "output": 1 + }, + { + "input": "LEEEEELLEELLEELLLLLLEEEELLLLLELLEEELLEELE", + "output": 4 + }, + { + "input": "LELLLELLELEELELELEELLLLLELEELELEEEELL", + "output": 0 + }, + { + "input": "ELELLLEEEELLELELEEELELEEEELELLLEELLELEELEELLLL", + "output": 6 + }, + { + "input": "LLLEELELEELEELELLELLEEELLEELLELELLLEELEELLEEELLL", + "output": 1 + } + ], + "haskell_template": "minimumChairs :: String -> Int\nminimumChairs s ", + "ocaml_template": "let minimumChairs (s: string) : int = ", + "scala_template": "def minimumChairs(s: String): Int = { \n \n}", + "java_template": "class Solution {\n public int minimumChairs(String s) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimumChairs(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_number_of_chairs_in_a_waiting_room/ocaml_tests/main.ml b/minimum_number_of_chairs_in_a_waiting_room/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..2763b27da672a2ab791f2d9ed850177f87266ad4 --- /dev/null +++ b/minimum_number_of_chairs_in_a_waiting_room/ocaml_tests/main.ml @@ -0,0 +1,45 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minimumChairs (s: string) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 7 (minimumChairs "EEEEEEE") + +let test2 _ = assert_equal 2 (minimumChairs "ELELEEL") + +let test3 _ = assert_equal 3 (minimumChairs "ELEELEELLL") + +let test4 _ = assert_equal 3 (minimumChairs "LLLELEEELLELELELELEEE") + +let test5 _ = assert_equal 3 (minimumChairs "LEEEEELLEELLEELLLLLLEEEELLLLLELLEEELLEELE") + +let test6 _ = assert_equal 3 (minimumChairs "LELLLELLELEELELELEELLLLLELEELELEEEELL") + +let test7 _ = assert_equal 3 (minimumChairs "ELELLLEEEELLELELEEELELEEEELELLLEELLELEELEELLLL") + +let test8 _ = assert_equal 3 (minimumChairs "LLLEELELEELEELELLELLEEELLEELLELELLLEELEELLEEELLL") + + + (* Grouping test cases *) + let suite = "Test Suite for minimumChairs" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_chairs_in_a_waiting_room/scala_tests/MySuite.scala b/minimum_number_of_chairs_in_a_waiting_room/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..2c3b4777a5569b709a9a25b4b9b80eeee7b4e40f --- /dev/null +++ b/minimum_number_of_chairs_in_a_waiting_room/scala_tests/MySuite.scala @@ -0,0 +1,36 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimumChairs("EEEEEEE"), 7) + } + + test("test2") { + assertEquals(Main.minimumChairs("ELELEEL"), 2) + } + + test("test3") { + assertEquals(Main.minimumChairs("ELEELEELLL"), 3) + } + + test("test4") { + assertEquals(Main.minimumChairs(",L,L,L,E,L,E,E,E,L,L,E,L,E,L,E,L,E,L,E,E,E,"), 1) + } + + test("test5") { + assertEquals(Main.minimumChairs(",L,E,E,E,E,E,L,L,E,E,L,L,E,E,L,L,L,L,L,L,E,E,E,E,L,L,L,L,L,E,L,L,E,E,E,L,L,E,E,L,E,"), 4) + } + + test("test6") { + assertEquals(Main.minimumChairs(",L,E,L,L,L,E,L,L,E,L,E,E,L,E,L,E,L,E,E,L,L,L,L,L,E,L,E,E,L,E,L,E,E,E,E,L,L,"), 0) + } + + test("test7") { + assertEquals(Main.minimumChairs(",E,L,E,L,L,L,E,E,E,E,L,L,E,L,E,L,E,E,E,L,E,L,E,E,E,E,L,E,L,L,L,E,E,L,L,E,L,E,E,L,E,E,L,L,L,L,"), 6) + } + + test("test8") { + assertEquals(Main.minimumChairs(",L,L,L,E,E,L,E,L,E,E,L,E,E,L,E,L,L,E,L,L,E,E,E,L,L,E,E,L,L,E,L,E,L,L,L,E,E,L,E,E,L,L,E,E,E,L,L,L,"), 1) + } + +} diff --git a/minimum_number_of_changes_to_make_binary_string_beautiful/haskell_tests/Main.hs b/minimum_number_of_changes_to_make_binary_string_beautiful/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..dfe2aba619c47d7d10136aad1926977a5fc623ff --- /dev/null +++ b/minimum_number_of_changes_to_make_binary_string_beautiful/haskell_tests/Main.hs @@ -0,0 +1,29 @@ + +module Main where +import Test.HUnit + +--Program start +minChanges :: String -> Int +minChanges s = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minChanges \"1001 \")," 2 (minChanges "1001")) + +test2 :: Test +test2 = TestCase (assertEqual "for (minChanges \"10 \")," 1 (minChanges "10")) + +test3 :: Test +test3 = TestCase (assertEqual "for (minChanges \"0000 \")," 0 (minChanges "0000")) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_changes_to_make_binary_string_beautiful/java_tests/Main.java b/minimum_number_of_changes_to_make_binary_string_beautiful/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..7d913a77b157d02d1c3e32607013a1459fe6644a --- /dev/null +++ b/minimum_number_of_changes_to_make_binary_string_beautiful/java_tests/Main.java @@ -0,0 +1,24 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(2, minChanges("1001")); +} +@Test +public void test2() { + assertEquals(1, minChanges("10")); +} +@Test +public void test3() { + assertEquals(0, minChanges("0000")); +} + +} diff --git a/minimum_number_of_changes_to_make_binary_string_beautiful/meta.json b/minimum_number_of_changes_to_make_binary_string_beautiful/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..5d10c24d6f9eb2e8d2c0a57f739249ec910bc4d0 --- /dev/null +++ b/minimum_number_of_changes_to_make_binary_string_beautiful/meta.json @@ -0,0 +1,31 @@ +{ + "id": 3174, + "name": "minimum_number_of_changes_to_make_binary_string_beautiful", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimum-number-of-changes-to-make-binary-string-beautiful/", + "date": "2023-10-14 00:00:00", + "task_description": "You are given a **0-indexed** binary string `s` having an even length. A string is **beautiful** if it's possible to partition it into one or more substrings such that: Each substring has an **even length**. Each substring contains **only** `1`'s or **only** `0`'s. You can change any character in `s` to `0` or `1`. Return _the **minimum** number of changes required to make the string _`s` _beautiful_. **Example 1:** ``` **Input:** s = \"1001\" **Output:** 2 **Explanation:** We change s[1] to 1 and s[3] to 0 to get string \"1100\". It can be seen that the string \"1100\" is beautiful because we can partition it into \"11|00\". It can be proven that 2 is the minimum number of changes needed to make the string beautiful. ``` **Example 2:** ``` **Input:** s = \"10\" **Output:** 1 **Explanation:** We change s[1] to 1 to get string \"11\". It can be seen that the string \"11\" is beautiful because we can partition it into \"11\". It can be proven that 1 is the minimum number of changes needed to make the string beautiful. ``` **Example 3:** ``` **Input:** s = \"0000\" **Output:** 0 **Explanation:** We don't need to make any changes as the string \"0000\" is beautiful already. ``` **Constraints:** `2 <= s.length <= 105` `s` has an even length. `s[i]` is either `'0'` or `'1'`.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "s = \"1001\"", + "output": "2 " + }, + { + "label": "Example 2", + "input": "s = \"10\"", + "output": "1 " + }, + { + "label": "Example 3", + "input": "s = \"0000\"", + "output": "0 " + } + ], + "private_test_cases": [], + "haskell_template": "minChanges :: String -> Int\nminChanges s ", + "ocaml_template": "let minChanges (s: string) : int = ", + "scala_template": "def minChanges(s: String): Int = { \n \n}", + "java_template": "class Solution {\n public int minChanges(String s) {\n \n }\n}", + "python_template": "class Solution(object):\n def minChanges(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_number_of_changes_to_make_binary_string_beautiful/ocaml_tests/main.ml b/minimum_number_of_changes_to_make_binary_string_beautiful/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..7869e600cc240b0c3564e372e7cff00f5658ed57 --- /dev/null +++ b/minimum_number_of_changes_to_make_binary_string_beautiful/ocaml_tests/main.ml @@ -0,0 +1,30 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minChanges (s: string) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 2 (minChanges "1001") + +let test2 _ = assert_equal 1 (minChanges "10") + +let test3 _ = assert_equal 0 (minChanges "0000") + + + (* Grouping test cases *) + let suite = "Test Suite for minChanges" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_changes_to_make_binary_string_beautiful/scala_tests/MySuite.scala b/minimum_number_of_changes_to_make_binary_string_beautiful/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..0051a93677b9e59829dbd029a234145f034520d2 --- /dev/null +++ b/minimum_number_of_changes_to_make_binary_string_beautiful/scala_tests/MySuite.scala @@ -0,0 +1,16 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minChanges("1001"), 2) + } + + test("test2") { + assertEquals(Main.minChanges("10"), 1) + } + + test("test3") { + assertEquals(Main.minChanges("0000"), 0) + } + +} diff --git a/minimum_number_of_coins_for_fruits/haskell_tests/Main.hs b/minimum_number_of_coins_for_fruits/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..adba86b150cc93bfcba336f3ea322d04eefa4652 --- /dev/null +++ b/minimum_number_of_coins_for_fruits/haskell_tests/Main.hs @@ -0,0 +1,44 @@ + +module Main where +import Test.HUnit + +--Program start +minimumCoins :: [Int] -> Int +minimumCoins prices = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimumCoins [3,1,2])," 4 (minimumCoins [3,1,2])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimumCoins [1,10,1,1])," 2 (minimumCoins [1,10,1,1])) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimumCoins [26,18,6,12,49,7,45,45])," 39 (minimumCoins [26,18,6,12,49,7,45,45])) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimumCoins [25274, 21829, 95346, 28245, 24245, 37803, 38360, 16039, 31802, 23193, 33504, 97219, 16925, 70574, 13560, 7625, 82860, 76280, 96716, 73895, 22692, 51136, 87146, 65163, 51629, 44000, 20919, 25697, 77628, 21836, 24398, 54626, 26704, 28996, 75626, 49812, 14484, 90212, 29445, 28574, 66907, 74570, 89418, 32886, 32293, 6088, 55831, 21697, 38819, 74671, 47965, 11396, 66086, 16298, 21840, 85271, 75761, 9501, 95228, 19405, 23632, 24389, 24377, 62787, 96480, 57008, 84889, 54563, 46663, 15678, 50535, 72823, 2389, 77445, 32480, 90368, 15052, 43885, 35417, 24399, 26527, 56252, 53344, 97174, 14198, 55647, 31911, 55084, 97817, 176, 59785, 12706, 98256, 70328, 87691, 68884, 52055, 61581, 28214, 80709, 96084, 34913, 19845, 43427, 56047, 91419, 37292, 28720, 18420, 64021, 28012, 57830, 5738, 75211, 45206, 4045, 23675, 12586, 22254, 4665, 27040, 79391, 22283, 46279, 41200, 76915, 1176, 22144, 14147, 24175, 89960, 44127, 44437, 84993, 31304, 87132, 61776, 89137, 50126, 36772, 77920, 65015, 70168, 44093, 43002, 84834, 4751, 69070, 22323, 97538, 21920, 76721, 41462, 86518, 68262, 75616, 4607, 55684, 61921, 93969, 18161, 31598, 3124, 30911, 37361, 68210, 7329, 76304, 3770, 54397, 74791, 92941, 55638, 29337, 59087, 27593, 17671, 66290, 7105, 42309, 91197, 52966, 89293, 51785, 17079, 3369, 72463, 43418, 99070, 5560, 66924, 10423, 8102, 92488, 27378, 18189, 91738, 33005, 32280, 49365, 87150, 49628, 38591, 31944, 40121, 87860, 40269, 56710, 3281, 32381, 92163, 89701, 32387, 3807, 77778, 18988, 48548, 39641, 95800, 5179, 29904, 28267, 63162, 83210, 84095, 52268, 88162, 90863, 93578, 7550, 72386, 47560, 16251, 26075, 5196, 59010, 98520, 25039, 93383, 29945, 10287, 65817, 66536, 76113, 79093, 17575, 61324, 51883, 20694, 60603, 28450, 63310, 73433, 86161, 6785, 57728, 52602, 64516, 85688, 53199, 77800, 17631, 78309, 30500, 51212, 22004, 58234, 7996, 28086, 80252, 15692, 99887, 88585, 94936, 77129, 73452, 76823, 89339, 79384, 79277, 26511, 38364, 74974, 75977, 48064, 7543, 45588, 98664, 73282, 20401, 75286, 87778, 86337, 67886, 8907, 20380, 17677, 69449, 79567, 62464, 41909, 55384, 11362, 14807, 7294, 87880, 96017, 99971, 88796, 10323, 67695, 77267, 51342, 2682, 205, 64755, 27214, 65733, 85496, 23706, 88159, 28288, 98958, 76058, 78709, 71098, 54940, 97467, 45648, 21663, 20507, 75111, 78383, 55692, 39811, 20207, 98747, 6294, 59015, 11362, 26670, 49111, 72097, 87180, 34887, 97415, 86399, 93755, 12391, 78121, 49288, 89879, 75280, 77655, 38577, 54617, 31076, 75623, 62253, 29826, 4761, 30602, 22208, 72349, 8736, 34530, 47544, 81048, 39409, 3121, 75148, 71824, 85852, 26634, 22537, 14791, 13582, 32043, 3, 14194, 1509, 67020, 27193, 76831, 48821, 5791, 39372, 87427, 3266, 31240, 85126, 44559, 74066, 54239, 34138, 93964, 63328, 73840, 75331, 12796, 83605, 38516, 87981, 25519, 69524, 24068, 58527, 14034, 97772, 75690, 97292, 12094, 18063, 57660, 59622, 15009, 9947, 47798, 14709, 56415, 8481, 78315, 58717, 29398, 38564, 45851, 12726, 1148, 61644, 62166, 69410, 1682, 28420, 40121, 77581, 98494, 82847, 14444, 84529, 16546, 3163, 55333, 12656, 1980, 52693, 8546, 30411, 77251, 48376, 77286, 77690, 75453, 95132, 79815, 313, 11257, 68173, 69882, 82518, 4405, 90998, 85976, 55016, 70891, 87410, 87579, 332, 9433, 49780, 77044, 63658, 75626, 97957, 34844, 25115, 12789, 57294, 23840, 69431, 36106, 22662, 10300, 61423, 44506, 93224, 53515, 90565, 27916, 90476, 63726, 33299, 43574])," 125524 (minimumCoins [25274, 21829, 95346, 28245, 24245, 37803, 38360, 16039, 31802, 23193, 33504, 97219, 16925, 70574, 13560, 7625, 82860, 76280, 96716, 73895, 22692, 51136, 87146, 65163, 51629, 44000, 20919, 25697, 77628, 21836, 24398, 54626, 26704, 28996, 75626, 49812, 14484, 90212, 29445, 28574, 66907, 74570, 89418, 32886, 32293, 6088, 55831, 21697, 38819, 74671, 47965, 11396, 66086, 16298, 21840, 85271, 75761, 9501, 95228, 19405, 23632, 24389, 24377, 62787, 96480, 57008, 84889, 54563, 46663, 15678, 50535, 72823, 2389, 77445, 32480, 90368, 15052, 43885, 35417, 24399, 26527, 56252, 53344, 97174, 14198, 55647, 31911, 55084, 97817, 176, 59785, 12706, 98256, 70328, 87691, 68884, 52055, 61581, 28214, 80709, 96084, 34913, 19845, 43427, 56047, 91419, 37292, 28720, 18420, 64021, 28012, 57830, 5738, 75211, 45206, 4045, 23675, 12586, 22254, 4665, 27040, 79391, 22283, 46279, 41200, 76915, 1176, 22144, 14147, 24175, 89960, 44127, 44437, 84993, 31304, 87132, 61776, 89137, 50126, 36772, 77920, 65015, 70168, 44093, 43002, 84834, 4751, 69070, 22323, 97538, 21920, 76721, 41462, 86518, 68262, 75616, 4607, 55684, 61921, 93969, 18161, 31598, 3124, 30911, 37361, 68210, 7329, 76304, 3770, 54397, 74791, 92941, 55638, 29337, 59087, 27593, 17671, 66290, 7105, 42309, 91197, 52966, 89293, 51785, 17079, 3369, 72463, 43418, 99070, 5560, 66924, 10423, 8102, 92488, 27378, 18189, 91738, 33005, 32280, 49365, 87150, 49628, 38591, 31944, 40121, 87860, 40269, 56710, 3281, 32381, 92163, 89701, 32387, 3807, 77778, 18988, 48548, 39641, 95800, 5179, 29904, 28267, 63162, 83210, 84095, 52268, 88162, 90863, 93578, 7550, 72386, 47560, 16251, 26075, 5196, 59010, 98520, 25039, 93383, 29945, 10287, 65817, 66536, 76113, 79093, 17575, 61324, 51883, 20694, 60603, 28450, 63310, 73433, 86161, 6785, 57728, 52602, 64516, 85688, 53199, 77800, 17631, 78309, 30500, 51212, 22004, 58234, 7996, 28086, 80252, 15692, 99887, 88585, 94936, 77129, 73452, 76823, 89339, 79384, 79277, 26511, 38364, 74974, 75977, 48064, 7543, 45588, 98664, 73282, 20401, 75286, 87778, 86337, 67886, 8907, 20380, 17677, 69449, 79567, 62464, 41909, 55384, 11362, 14807, 7294, 87880, 96017, 99971, 88796, 10323, 67695, 77267, 51342, 2682, 205, 64755, 27214, 65733, 85496, 23706, 88159, 28288, 98958, 76058, 78709, 71098, 54940, 97467, 45648, 21663, 20507, 75111, 78383, 55692, 39811, 20207, 98747, 6294, 59015, 11362, 26670, 49111, 72097, 87180, 34887, 97415, 86399, 93755, 12391, 78121, 49288, 89879, 75280, 77655, 38577, 54617, 31076, 75623, 62253, 29826, 4761, 30602, 22208, 72349, 8736, 34530, 47544, 81048, 39409, 3121, 75148, 71824, 85852, 26634, 22537, 14791, 13582, 32043, 3, 14194, 1509, 67020, 27193, 76831, 48821, 5791, 39372, 87427, 3266, 31240, 85126, 44559, 74066, 54239, 34138, 93964, 63328, 73840, 75331, 12796, 83605, 38516, 87981, 25519, 69524, 24068, 58527, 14034, 97772, 75690, 97292, 12094, 18063, 57660, 59622, 15009, 9947, 47798, 14709, 56415, 8481, 78315, 58717, 29398, 38564, 45851, 12726, 1148, 61644, 62166, 69410, 1682, 28420, 40121, 77581, 98494, 82847, 14444, 84529, 16546, 3163, 55333, 12656, 1980, 52693, 8546, 30411, 77251, 48376, 77286, 77690, 75453, 95132, 79815, 313, 11257, 68173, 69882, 82518, 4405, 90998, 85976, 55016, 70891, 87410, 87579, 332, 9433, 49780, 77044, 63658, 75626, 97957, 34844, 25115, 12789, 57294, 23840, 69431, 36106, 22662, 10300, 61423, 44506, 93224, 53515, 90565, 27916, 90476, 63726, 33299, 43574])) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimumCoins [87456, 62878, 2902, 19684, 18472, 71532, 47090, 95104, 93715, 7242, 12971, 42860, 52919, 24131, 30584, 70208, 97914, 47047, 90047, 47793, 53991, 59800, 41309, 66673, 58872, 5251, 11960, 56641, 62105, 78866, 64470, 61227, 17719, 77876, 68947, 20734, 66117, 45917, 68884, 65689, 38691, 29680, 96821, 27581, 62125, 59353, 64541, 49569, 9569, 76300, 60736, 65234, 81941, 98028, 64952, 65082, 91370, 92902, 88308, 74634, 22593, 1424, 83187, 95049, 54761, 31556, 85312, 30480, 47625, 37928, 12594, 50370, 91529, 93968, 75410, 25030, 87006, 10469, 72915, 9229, 23726, 9072, 84395, 10898, 81428, 41910, 69049, 90322, 41725, 23712, 56668, 95116, 85601, 19800, 37019, 45850, 88633, 99940, 11015, 93824, 17633, 41577, 74372, 79513, 32894, 52410, 53586, 88069, 72276, 20595, 57818, 20651, 23237, 13247, 22506, 96935, 38734, 19604, 67796, 20404, 59826, 10987, 67747, 54172, 41049, 55585, 99181, 3307, 36320, 23217, 38570, 24422, 89438, 74373, 48552, 77461, 27869, 85999, 23599, 63626, 43067, 80563, 10227, 735, 56578, 43862, 6553, 18750, 30742, 31466, 29422, 31765, 7203, 29625, 57602, 97387, 61988, 58919, 84463, 80096, 97805, 6694, 3299, 93698, 68681, 97520, 14321, 24095, 2209, 87482, 28490, 14591, 70301, 91029, 90807, 74788, 68482, 37611, 15297, 62563, 59487, 47095, 67264, 63078, 40520, 33555, 18124, 1678, 88234, 13958, 27021, 13544, 57608, 81353, 81785, 64860, 7708, 9143, 9366, 76781, 51827, 87629, 40455, 84072, 7224, 49524, 18016, 68911, 71537, 7207, 23979, 28366, 80429, 17705, 17657, 20278, 55111, 91874, 99647, 82400, 66899, 40858, 87910, 54519, 33181, 15907, 26509, 1702, 5190, 14305, 96057, 89065, 65316, 37989, 53407, 79703, 37494, 46065, 65536, 96393, 36447, 45812, 88829, 49190, 49430, 54540, 96090, 55284, 63598, 63059, 69078, 27801, 66994, 29261, 60866, 70611, 6747, 38134, 86922, 40672, 19322, 51545, 35953, 86611, 5907, 60819, 44182, 7388, 76210, 73752, 18672, 13205, 36423, 10400, 62260, 62690, 98658, 77575, 50891, 55349, 16424, 1618, 51165, 38135, 35194, 38412, 22192, 96906, 50318, 19300, 41411, 71158, 638, 57903, 60659, 329, 41891, 97441, 18699, 93087, 56300, 59594, 74651, 4680, 21505, 37996, 96514, 84878, 21974, 47520, 301, 28408, 70978, 48326, 22243, 7952, 88939, 36656, 70636, 57347, 32199, 89057, 67554, 53754, 57646, 37996, 66181, 53654, 85595, 88692, 64331, 91864, 10914, 82070, 60825, 1927, 92361, 66082, 77494, 94377, 96529, 88807, 51196, 55666, 90825, 77312, 2279, 32783, 68228, 19170, 36062, 38519, 53159, 17745, 33858, 10841, 27185, 76894, 36642, 73917, 10228, 7893, 37231, 13274, 61549, 43292, 59764, 79262, 6777, 64665, 91246, 43223, 43330, 37727, 38088, 68627, 78509, 24068, 53926, 57526, 45247, 86166, 13774, 11886, 82584, 78138, 2070, 20345, 19377, 74370, 94565, 8802, 9934, 40092, 19034, 43863, 63531, 74324, 90720, 84616, 13947, 18953, 10971, 40124, 47764, 21512, 51855, 93163, 93537, 48420, 58795, 70793, 15406, 64185, 10269, 97514, 94056, 6294, 81886, 62820, 69194, 4396, 82523, 19813, 83426, 94755, 77451, 33750, 7196, 52125, 49081, 4892, 53507, 82658, 19517, 30730, 60257, 82177, 31750, 9876, 40391, 70406, 32192, 61600, 5132, 46579, 89452, 40648, 96364, 53534, 71857, 39507, 905, 8471, 13111, 12125, 14147, 75894, 42053, 62717, 36940, 50594, 50901, 45227, 26669, 2633, 41612, 65779, 17592, 37429, 24384, 18717, 14292, 30803, 40041, 95208, 91884, 12527, 72464, 80393, 988, 18941, 34197, 14541, 1709, 42299, 46355, 41995, 83214, 23682, 50805, 86339, 36149, 75794, 37412, 19184, 21949, 700, 66087, 49442, 96729, 94830, 65052, 68093, 43150, 19919, 9353, 12387, 44944, 75125, 82166, 85707, 91538, 39421, 79330, 48831, 39495, 44036, 21466, 41455, 52815, 43212, 72804, 58376, 68281, 31411, 20636, 57684, 53185, 15382, 73383, 64746, 44022, 47497, 76274, 96038, 54176, 72869, 58876, 38387, 11204, 40250, 47433, 83584, 22167, 25364, 90094, 19675, 84728, 30636, 89583, 6244, 70605, 81838, 73503, 46830, 70779, 80694, 40773, 41043, 7034, 84806, 66315, 45586, 60034, 10368, 36218, 83697, 88771, 34382, 78079, 14202, 13149, 15319, 27466, 40632, 61016, 69860, 72756, 42894, 95686, 8765, 31222])," 166749 (minimumCoins [87456, 62878, 2902, 19684, 18472, 71532, 47090, 95104, 93715, 7242, 12971, 42860, 52919, 24131, 30584, 70208, 97914, 47047, 90047, 47793, 53991, 59800, 41309, 66673, 58872, 5251, 11960, 56641, 62105, 78866, 64470, 61227, 17719, 77876, 68947, 20734, 66117, 45917, 68884, 65689, 38691, 29680, 96821, 27581, 62125, 59353, 64541, 49569, 9569, 76300, 60736, 65234, 81941, 98028, 64952, 65082, 91370, 92902, 88308, 74634, 22593, 1424, 83187, 95049, 54761, 31556, 85312, 30480, 47625, 37928, 12594, 50370, 91529, 93968, 75410, 25030, 87006, 10469, 72915, 9229, 23726, 9072, 84395, 10898, 81428, 41910, 69049, 90322, 41725, 23712, 56668, 95116, 85601, 19800, 37019, 45850, 88633, 99940, 11015, 93824, 17633, 41577, 74372, 79513, 32894, 52410, 53586, 88069, 72276, 20595, 57818, 20651, 23237, 13247, 22506, 96935, 38734, 19604, 67796, 20404, 59826, 10987, 67747, 54172, 41049, 55585, 99181, 3307, 36320, 23217, 38570, 24422, 89438, 74373, 48552, 77461, 27869, 85999, 23599, 63626, 43067, 80563, 10227, 735, 56578, 43862, 6553, 18750, 30742, 31466, 29422, 31765, 7203, 29625, 57602, 97387, 61988, 58919, 84463, 80096, 97805, 6694, 3299, 93698, 68681, 97520, 14321, 24095, 2209, 87482, 28490, 14591, 70301, 91029, 90807, 74788, 68482, 37611, 15297, 62563, 59487, 47095, 67264, 63078, 40520, 33555, 18124, 1678, 88234, 13958, 27021, 13544, 57608, 81353, 81785, 64860, 7708, 9143, 9366, 76781, 51827, 87629, 40455, 84072, 7224, 49524, 18016, 68911, 71537, 7207, 23979, 28366, 80429, 17705, 17657, 20278, 55111, 91874, 99647, 82400, 66899, 40858, 87910, 54519, 33181, 15907, 26509, 1702, 5190, 14305, 96057, 89065, 65316, 37989, 53407, 79703, 37494, 46065, 65536, 96393, 36447, 45812, 88829, 49190, 49430, 54540, 96090, 55284, 63598, 63059, 69078, 27801, 66994, 29261, 60866, 70611, 6747, 38134, 86922, 40672, 19322, 51545, 35953, 86611, 5907, 60819, 44182, 7388, 76210, 73752, 18672, 13205, 36423, 10400, 62260, 62690, 98658, 77575, 50891, 55349, 16424, 1618, 51165, 38135, 35194, 38412, 22192, 96906, 50318, 19300, 41411, 71158, 638, 57903, 60659, 329, 41891, 97441, 18699, 93087, 56300, 59594, 74651, 4680, 21505, 37996, 96514, 84878, 21974, 47520, 301, 28408, 70978, 48326, 22243, 7952, 88939, 36656, 70636, 57347, 32199, 89057, 67554, 53754, 57646, 37996, 66181, 53654, 85595, 88692, 64331, 91864, 10914, 82070, 60825, 1927, 92361, 66082, 77494, 94377, 96529, 88807, 51196, 55666, 90825, 77312, 2279, 32783, 68228, 19170, 36062, 38519, 53159, 17745, 33858, 10841, 27185, 76894, 36642, 73917, 10228, 7893, 37231, 13274, 61549, 43292, 59764, 79262, 6777, 64665, 91246, 43223, 43330, 37727, 38088, 68627, 78509, 24068, 53926, 57526, 45247, 86166, 13774, 11886, 82584, 78138, 2070, 20345, 19377, 74370, 94565, 8802, 9934, 40092, 19034, 43863, 63531, 74324, 90720, 84616, 13947, 18953, 10971, 40124, 47764, 21512, 51855, 93163, 93537, 48420, 58795, 70793, 15406, 64185, 10269, 97514, 94056, 6294, 81886, 62820, 69194, 4396, 82523, 19813, 83426, 94755, 77451, 33750, 7196, 52125, 49081, 4892, 53507, 82658, 19517, 30730, 60257, 82177, 31750, 9876, 40391, 70406, 32192, 61600, 5132, 46579, 89452, 40648, 96364, 53534, 71857, 39507, 905, 8471, 13111, 12125, 14147, 75894, 42053, 62717, 36940, 50594, 50901, 45227, 26669, 2633, 41612, 65779, 17592, 37429, 24384, 18717, 14292, 30803, 40041, 95208, 91884, 12527, 72464, 80393, 988, 18941, 34197, 14541, 1709, 42299, 46355, 41995, 83214, 23682, 50805, 86339, 36149, 75794, 37412, 19184, 21949, 700, 66087, 49442, 96729, 94830, 65052, 68093, 43150, 19919, 9353, 12387, 44944, 75125, 82166, 85707, 91538, 39421, 79330, 48831, 39495, 44036, 21466, 41455, 52815, 43212, 72804, 58376, 68281, 31411, 20636, 57684, 53185, 15382, 73383, 64746, 44022, 47497, 76274, 96038, 54176, 72869, 58876, 38387, 11204, 40250, 47433, 83584, 22167, 25364, 90094, 19675, 84728, 30636, 89583, 6244, 70605, 81838, 73503, 46830, 70779, 80694, 40773, 41043, 7034, 84806, 66315, 45586, 60034, 10368, 36218, 83697, 88771, 34382, 78079, 14202, 13149, 15319, 27466, 40632, 61016, 69860, 72756, 42894, 95686, 8765, 31222])) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimumCoins [51869, 76872, 71438, 92190, 9550, 89065, 40629, 41068, 57474, 45987, 35992, 47570, 10130, 12426, 52908, 43666, 48032, 36253, 21873, 44893, 227, 11500, 85939, 78161, 34907, 84069, 10218, 27662, 35236, 89218, 22436, 60675, 11664, 83328, 88050, 6105, 17949, 31568, 8097, 7233, 50869, 82415, 63501, 90416, 32986, 85801, 97821, 48386, 20538, 2408, 32049, 86059, 15230, 15944, 98583, 83603, 74872, 71531, 13026, 64050, 48867, 72239, 23800, 14169, 23551, 10798, 23069, 76516, 68101, 79800, 32657, 29829, 25147, 17923, 38690, 8792, 96986, 91902, 94129, 73297, 72497, 60846, 1753, 99925, 96434, 74552, 76583, 31658, 19068, 35444, 71542, 83380, 47494, 89460, 58189, 33193, 58053, 14674, 84728, 80857, 65488, 26600, 93647, 68545, 54046, 26631, 92265, 67233, 42661, 49867, 15736, 2102, 8002, 61330, 76155, 26901, 72326, 77760, 54831, 90632, 42238, 51144, 69189, 22235, 23953, 21784, 73191, 60671, 4839, 69324, 33746, 13015, 54889, 47647, 56258, 85843, 77656, 71578, 71605, 65735, 89660, 68045, 44846, 985, 34149, 17138, 69522, 6480, 34878, 20000, 71938, 83332, 81533, 63129, 21679, 85316, 27, 58101, 28263, 69498, 2026, 40106, 34858, 34528, 52298, 40047, 18862, 32912, 98337, 18135, 37362, 8242, 61759, 29342, 58013, 20469, 84606, 35968, 17172, 6685, 33688, 87788, 93531, 68923, 74826, 8069, 38092, 83934, 8406, 21402, 86935, 34789, 14978, 44717, 66086, 81058, 21242, 651, 86265, 96535, 69064, 64625, 17522, 21415, 17422, 70141, 57761, 21879, 96955, 10729, 7682, 81381, 33054, 26685, 62228, 57585, 56290, 57431, 11517, 93911, 99125, 54938, 98434, 71000, 66809, 42981, 74096, 90617, 10267, 23531, 26345, 29313, 48650, 47089, 34490, 29737, 3401, 72495, 5650, 27950, 43725, 71758, 73068, 6527, 65882, 91124, 82704, 66821, 1185, 9895, 1737, 94582, 20932, 30841, 5426, 87057, 83773, 10242, 81924, 93460, 82214, 86165, 57737, 94599, 29387, 95097, 67997, 40303, 46520, 41369, 65466, 64514, 91447, 45386, 97558, 54229, 38763, 18597, 60018, 76088, 97192, 61886, 92528, 4614, 47072, 66699, 67034, 2784, 76997, 50207, 37677, 50388, 97013, 92911, 43473, 87487, 10025, 73680, 23551, 94830, 43389, 71288, 91268, 48165, 74007, 40129, 86140, 45451, 89308, 24718, 81229, 28399, 57816, 36690, 80938, 55650, 67917, 31840, 30277, 54879, 92373, 98101, 59128, 61714, 39370, 41906, 33120, 12184, 55932, 40029, 72890, 18076, 22938, 55599, 95029, 85309, 52944, 82584, 13284, 62167, 12467, 55814, 54668, 51418, 39111, 73149, 72587, 19192, 37043, 53841, 22283, 16035, 33046, 87845, 52730, 69819, 6075, 69258, 95912, 30124, 55001, 5402, 65654, 17722, 64577, 62267])," 180020 (minimumCoins [51869, 76872, 71438, 92190, 9550, 89065, 40629, 41068, 57474, 45987, 35992, 47570, 10130, 12426, 52908, 43666, 48032, 36253, 21873, 44893, 227, 11500, 85939, 78161, 34907, 84069, 10218, 27662, 35236, 89218, 22436, 60675, 11664, 83328, 88050, 6105, 17949, 31568, 8097, 7233, 50869, 82415, 63501, 90416, 32986, 85801, 97821, 48386, 20538, 2408, 32049, 86059, 15230, 15944, 98583, 83603, 74872, 71531, 13026, 64050, 48867, 72239, 23800, 14169, 23551, 10798, 23069, 76516, 68101, 79800, 32657, 29829, 25147, 17923, 38690, 8792, 96986, 91902, 94129, 73297, 72497, 60846, 1753, 99925, 96434, 74552, 76583, 31658, 19068, 35444, 71542, 83380, 47494, 89460, 58189, 33193, 58053, 14674, 84728, 80857, 65488, 26600, 93647, 68545, 54046, 26631, 92265, 67233, 42661, 49867, 15736, 2102, 8002, 61330, 76155, 26901, 72326, 77760, 54831, 90632, 42238, 51144, 69189, 22235, 23953, 21784, 73191, 60671, 4839, 69324, 33746, 13015, 54889, 47647, 56258, 85843, 77656, 71578, 71605, 65735, 89660, 68045, 44846, 985, 34149, 17138, 69522, 6480, 34878, 20000, 71938, 83332, 81533, 63129, 21679, 85316, 27, 58101, 28263, 69498, 2026, 40106, 34858, 34528, 52298, 40047, 18862, 32912, 98337, 18135, 37362, 8242, 61759, 29342, 58013, 20469, 84606, 35968, 17172, 6685, 33688, 87788, 93531, 68923, 74826, 8069, 38092, 83934, 8406, 21402, 86935, 34789, 14978, 44717, 66086, 81058, 21242, 651, 86265, 96535, 69064, 64625, 17522, 21415, 17422, 70141, 57761, 21879, 96955, 10729, 7682, 81381, 33054, 26685, 62228, 57585, 56290, 57431, 11517, 93911, 99125, 54938, 98434, 71000, 66809, 42981, 74096, 90617, 10267, 23531, 26345, 29313, 48650, 47089, 34490, 29737, 3401, 72495, 5650, 27950, 43725, 71758, 73068, 6527, 65882, 91124, 82704, 66821, 1185, 9895, 1737, 94582, 20932, 30841, 5426, 87057, 83773, 10242, 81924, 93460, 82214, 86165, 57737, 94599, 29387, 95097, 67997, 40303, 46520, 41369, 65466, 64514, 91447, 45386, 97558, 54229, 38763, 18597, 60018, 76088, 97192, 61886, 92528, 4614, 47072, 66699, 67034, 2784, 76997, 50207, 37677, 50388, 97013, 92911, 43473, 87487, 10025, 73680, 23551, 94830, 43389, 71288, 91268, 48165, 74007, 40129, 86140, 45451, 89308, 24718, 81229, 28399, 57816, 36690, 80938, 55650, 67917, 31840, 30277, 54879, 92373, 98101, 59128, 61714, 39370, 41906, 33120, 12184, 55932, 40029, 72890, 18076, 22938, 55599, 95029, 85309, 52944, 82584, 13284, 62167, 12467, 55814, 54668, 51418, 39111, 73149, 72587, 19192, 37043, 53841, 22283, 16035, 33046, 87845, 52730, 69819, 6075, 69258, 95912, 30124, 55001, 5402, 65654, 17722, 64577, 62267])) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimumCoins [85819, 57524, 67472, 96017, 94749, 74943, 9279, 88526, 32, 69933, 71137, 62964, 80714, 61858, 9434, 75908, 95785, 68452, 52898, 91585, 14462, 7420, 12108, 11527, 32345, 16873, 89007, 94831, 90120, 97675, 77799, 19883, 19200, 98977, 22406, 56138, 57252, 70818, 86320, 84110, 46761, 24388, 4171, 70925, 93907, 1837, 41625, 27118, 62687, 23216, 32292, 85764, 93133, 86691, 44539, 66006, 46016, 42710, 67482, 40023, 47949, 36166, 11083, 45107, 83826, 25051, 27909, 38401, 72628, 7145, 6269, 92652, 46089, 96361, 30562, 70625, 5300, 76809, 19756, 59708, 54907, 1627, 77180, 76381, 56002, 2551, 38246, 21336, 68458, 46252, 54817, 88680, 27483, 2093, 42078, 59165, 16204, 67931, 28413, 19485, 28035, 35783, 87279, 33760, 2045, 43157, 85813, 41778, 95093, 85776, 18114, 97737, 13303, 75094, 97281, 16498, 93909, 37643, 84240, 68667, 16991, 70500, 7385, 60269, 97454, 29326, 94025, 63782, 38052, 49540, 10868, 54902, 4988, 51910, 14657, 14938, 76843, 38097, 49596, 56993, 63727, 30414, 2572, 6137, 32420, 12577, 96999, 93014, 53942, 69315, 58199, 37255, 18375, 54081, 91290, 22609, 6842, 16918, 71351, 46609, 31929, 89400, 1993, 91250, 59227, 32065, 15347, 20484, 86308, 50923, 44648, 43756, 68586, 69559, 13845, 5835, 61208, 40854, 92599, 81452, 43584, 21018, 79955, 35160, 63281, 67545, 16735, 11220, 19126, 57525, 97149, 94587, 46908, 37620, 28988, 75624, 74351, 11923, 92867, 48535, 61485, 51034, 99814, 54604, 3293, 30930, 95905, 45278, 85359, 62031, 99563, 55161, 85039, 10717, 41098, 34523, 74455, 74438, 74814, 52944, 60178, 56627, 68731, 51697, 37903, 20145, 93336, 5040, 53163, 73683, 60799, 87001, 33455, 62702, 14010, 44870, 28838, 17667, 1663, 94004, 64936, 99893, 7620, 22159, 5453, 21995, 61858, 11294, 64677, 37538, 93154, 65811, 16625, 51865, 20944, 52964, 55758, 46613, 48471, 94548, 31978, 59427, 50628, 90549, 91316, 84918, 99057, 96266, 94191, 57466, 87265, 69167, 70460, 84562, 24306, 86152, 23483, 23412, 60673, 26751, 22086, 99448, 23981, 14864, 55606, 56632, 76297, 79332, 80268, 78028, 37174, 8736, 33913, 55328, 14816, 35196, 63911, 91240, 47356, 96085, 15734, 20003, 98832, 24111, 49334, 8828, 31295, 76056, 71618, 53369, 8967, 59110, 56024, 16999, 27871, 40634, 73582, 94206, 62950, 21530, 96573, 42104, 9007, 71879, 18850, 18476, 87885, 37004, 2154, 53191, 16386, 21586, 84780, 35593, 84437, 46921, 46179, 85172, 96352, 28586, 22980, 53267, 87861, 45404, 31528, 1075, 23153, 69384, 39249, 21166, 88322, 50843, 6648, 4244, 57045, 82490, 25320, 6299, 9337, 64235, 85921, 54613, 55316, 35699, 9577, 40169, 29763, 92937, 44289, 79322, 85169, 71813, 68135, 5386, 75039, 37667, 73374, 28254, 43072, 73343, 40502, 92572, 47440, 53947, 20702, 17315, 87289, 61731, 54167, 19128, 97148, 79889, 80618, 6366, 18375, 10530, 14395, 73559, 53481, 73810, 91365, 12933, 20099, 1783, 11904, 74293, 35364, 83179, 20742, 20406, 59984, 36489, 72384, 80864, 26720, 56633, 35806, 86671, 25276, 53049, 19967, 67615, 42214, 71190, 37126, 71653, 57011, 76781, 74856, 62086, 76708, 25117, 38639, 15649, 39958, 42697, 59550, 55638, 5399, 47733, 64702, 98646, 21513, 23401, 56358, 92883, 63214, 58143, 68827, 43672, 26406, 40026, 73956, 22509, 97495, 98215, 68560, 66237, 35136, 95803])," 188878 (minimumCoins [85819, 57524, 67472, 96017, 94749, 74943, 9279, 88526, 32, 69933, 71137, 62964, 80714, 61858, 9434, 75908, 95785, 68452, 52898, 91585, 14462, 7420, 12108, 11527, 32345, 16873, 89007, 94831, 90120, 97675, 77799, 19883, 19200, 98977, 22406, 56138, 57252, 70818, 86320, 84110, 46761, 24388, 4171, 70925, 93907, 1837, 41625, 27118, 62687, 23216, 32292, 85764, 93133, 86691, 44539, 66006, 46016, 42710, 67482, 40023, 47949, 36166, 11083, 45107, 83826, 25051, 27909, 38401, 72628, 7145, 6269, 92652, 46089, 96361, 30562, 70625, 5300, 76809, 19756, 59708, 54907, 1627, 77180, 76381, 56002, 2551, 38246, 21336, 68458, 46252, 54817, 88680, 27483, 2093, 42078, 59165, 16204, 67931, 28413, 19485, 28035, 35783, 87279, 33760, 2045, 43157, 85813, 41778, 95093, 85776, 18114, 97737, 13303, 75094, 97281, 16498, 93909, 37643, 84240, 68667, 16991, 70500, 7385, 60269, 97454, 29326, 94025, 63782, 38052, 49540, 10868, 54902, 4988, 51910, 14657, 14938, 76843, 38097, 49596, 56993, 63727, 30414, 2572, 6137, 32420, 12577, 96999, 93014, 53942, 69315, 58199, 37255, 18375, 54081, 91290, 22609, 6842, 16918, 71351, 46609, 31929, 89400, 1993, 91250, 59227, 32065, 15347, 20484, 86308, 50923, 44648, 43756, 68586, 69559, 13845, 5835, 61208, 40854, 92599, 81452, 43584, 21018, 79955, 35160, 63281, 67545, 16735, 11220, 19126, 57525, 97149, 94587, 46908, 37620, 28988, 75624, 74351, 11923, 92867, 48535, 61485, 51034, 99814, 54604, 3293, 30930, 95905, 45278, 85359, 62031, 99563, 55161, 85039, 10717, 41098, 34523, 74455, 74438, 74814, 52944, 60178, 56627, 68731, 51697, 37903, 20145, 93336, 5040, 53163, 73683, 60799, 87001, 33455, 62702, 14010, 44870, 28838, 17667, 1663, 94004, 64936, 99893, 7620, 22159, 5453, 21995, 61858, 11294, 64677, 37538, 93154, 65811, 16625, 51865, 20944, 52964, 55758, 46613, 48471, 94548, 31978, 59427, 50628, 90549, 91316, 84918, 99057, 96266, 94191, 57466, 87265, 69167, 70460, 84562, 24306, 86152, 23483, 23412, 60673, 26751, 22086, 99448, 23981, 14864, 55606, 56632, 76297, 79332, 80268, 78028, 37174, 8736, 33913, 55328, 14816, 35196, 63911, 91240, 47356, 96085, 15734, 20003, 98832, 24111, 49334, 8828, 31295, 76056, 71618, 53369, 8967, 59110, 56024, 16999, 27871, 40634, 73582, 94206, 62950, 21530, 96573, 42104, 9007, 71879, 18850, 18476, 87885, 37004, 2154, 53191, 16386, 21586, 84780, 35593, 84437, 46921, 46179, 85172, 96352, 28586, 22980, 53267, 87861, 45404, 31528, 1075, 23153, 69384, 39249, 21166, 88322, 50843, 6648, 4244, 57045, 82490, 25320, 6299, 9337, 64235, 85921, 54613, 55316, 35699, 9577, 40169, 29763, 92937, 44289, 79322, 85169, 71813, 68135, 5386, 75039, 37667, 73374, 28254, 43072, 73343, 40502, 92572, 47440, 53947, 20702, 17315, 87289, 61731, 54167, 19128, 97148, 79889, 80618, 6366, 18375, 10530, 14395, 73559, 53481, 73810, 91365, 12933, 20099, 1783, 11904, 74293, 35364, 83179, 20742, 20406, 59984, 36489, 72384, 80864, 26720, 56633, 35806, 86671, 25276, 53049, 19967, 67615, 42214, 71190, 37126, 71653, 57011, 76781, 74856, 62086, 76708, 25117, 38639, 15649, 39958, 42697, 59550, 55638, 5399, 47733, 64702, 98646, 21513, 23401, 56358, 92883, 63214, 58143, 68827, 43672, 26406, 40026, 73956, 22509, 97495, 98215, 68560, 66237, 35136, 95803])) + +test8 :: Test +test8 = TestCase (assertEqual "for (minimumCoins [79080, 49226, 66188, 38017, 85603, 77739, 30639, 93768, 18176, 71053, 62748, 88177, 58108, 11316, 2497, 10252, 37227, 43226, 64011, 94374, 45358, 1193, 97674, 1575, 18501, 49270, 46410, 26855, 23713, 70078, 13165, 77640, 68048, 46862, 12163, 42742, 21592, 8493, 64927, 9520, 66459, 17978, 36472, 78894, 44626, 58106, 18859, 50241, 60069, 93319, 38758, 51133, 36974, 92241, 16105, 39943, 71741, 9841, 85910, 84395, 97373, 24564, 31813, 23662, 50943, 5723, 12667, 14300, 54642, 52481, 52262, 63838, 66120, 35806, 82384, 83617, 13167, 73919, 79691, 85522, 71713, 78549, 84724, 87949, 57562, 27674, 59289, 79040, 56150, 60333, 87432, 45641, 65947, 1807, 49974, 56727, 98429, 36259, 70755, 94375, 22242, 54324, 62942, 82666, 21993, 45370, 57035, 13941, 98354, 55861, 24689, 58771, 50870, 9992, 68630, 59845, 52122, 51793, 32097, 21282, 39739, 55815, 98184, 57652, 57706, 18907, 51062, 54207, 71625, 29427, 92042, 40703, 89172, 9242, 42570, 96454, 29696, 87719, 34473, 90568, 19191, 39381, 2100, 30683, 56370, 83672, 15991, 94808, 54732, 35443, 73746, 45188, 26264, 66716, 40676, 19709, 63202, 32250, 67215, 87263, 18164, 16676, 27857, 68756, 29242, 84507, 86346, 43396, 1213, 86118, 62582, 2933, 29594, 59674, 95135, 44620, 16763, 9675, 52980, 19444, 58525, 62194, 18615, 98255, 25243, 73750, 77295, 61753, 61977, 87623, 57834, 67439, 10996, 16831, 4917, 73350, 73124, 45534, 85077, 82745, 84723, 23384, 77826, 55246, 16331, 49665, 39432, 39296, 89059, 60530, 55938, 77319, 12293, 12810, 12271, 12400, 21891, 48731, 11351, 9901, 40298, 77776, 46630, 70943, 54415, 14597, 67429, 35299, 66982, 49634, 9507, 1537, 30693, 60557, 56492, 87789, 20565, 40722, 88773, 35744, 19306, 48511, 22901, 64568, 37310, 67408, 34501, 39600, 21970, 23632, 33731, 38690, 54452, 23675, 43508, 63839, 26999, 83699, 77415, 36885, 21099, 37638, 44294, 51301, 21407, 35472, 22812, 19575, 82282, 92354, 83296, 60051, 60827, 10252, 97548, 86762, 90120, 54776, 10573, 60041, 8837, 15513, 75819, 97248, 41362, 19139, 76830, 80428, 86137, 83774, 65843, 42548, 96464, 1653, 94499, 97051, 31490, 26371, 98708, 57928, 56241, 76929, 17743, 81886, 97748, 61651, 1778, 14855, 48801, 65417, 38525, 27935, 62838, 53266, 69513, 8352, 65282, 91895, 9815, 19637, 84527, 23111, 99042, 4967, 1413, 76721, 30986, 79972, 89648, 50324, 30685, 15994, 46189, 42183, 49629, 14379, 40285, 36370, 57656, 19324, 30127, 32548, 34400, 46391, 96580, 641, 59260, 47331, 51899, 8201, 29975, 93104, 4508, 49506, 61078, 25173, 57897, 41701, 16604, 27960, 6174, 10887, 87478, 18519, 45351, 94664, 76025, 43593, 51037])," 198246 (minimumCoins [79080, 49226, 66188, 38017, 85603, 77739, 30639, 93768, 18176, 71053, 62748, 88177, 58108, 11316, 2497, 10252, 37227, 43226, 64011, 94374, 45358, 1193, 97674, 1575, 18501, 49270, 46410, 26855, 23713, 70078, 13165, 77640, 68048, 46862, 12163, 42742, 21592, 8493, 64927, 9520, 66459, 17978, 36472, 78894, 44626, 58106, 18859, 50241, 60069, 93319, 38758, 51133, 36974, 92241, 16105, 39943, 71741, 9841, 85910, 84395, 97373, 24564, 31813, 23662, 50943, 5723, 12667, 14300, 54642, 52481, 52262, 63838, 66120, 35806, 82384, 83617, 13167, 73919, 79691, 85522, 71713, 78549, 84724, 87949, 57562, 27674, 59289, 79040, 56150, 60333, 87432, 45641, 65947, 1807, 49974, 56727, 98429, 36259, 70755, 94375, 22242, 54324, 62942, 82666, 21993, 45370, 57035, 13941, 98354, 55861, 24689, 58771, 50870, 9992, 68630, 59845, 52122, 51793, 32097, 21282, 39739, 55815, 98184, 57652, 57706, 18907, 51062, 54207, 71625, 29427, 92042, 40703, 89172, 9242, 42570, 96454, 29696, 87719, 34473, 90568, 19191, 39381, 2100, 30683, 56370, 83672, 15991, 94808, 54732, 35443, 73746, 45188, 26264, 66716, 40676, 19709, 63202, 32250, 67215, 87263, 18164, 16676, 27857, 68756, 29242, 84507, 86346, 43396, 1213, 86118, 62582, 2933, 29594, 59674, 95135, 44620, 16763, 9675, 52980, 19444, 58525, 62194, 18615, 98255, 25243, 73750, 77295, 61753, 61977, 87623, 57834, 67439, 10996, 16831, 4917, 73350, 73124, 45534, 85077, 82745, 84723, 23384, 77826, 55246, 16331, 49665, 39432, 39296, 89059, 60530, 55938, 77319, 12293, 12810, 12271, 12400, 21891, 48731, 11351, 9901, 40298, 77776, 46630, 70943, 54415, 14597, 67429, 35299, 66982, 49634, 9507, 1537, 30693, 60557, 56492, 87789, 20565, 40722, 88773, 35744, 19306, 48511, 22901, 64568, 37310, 67408, 34501, 39600, 21970, 23632, 33731, 38690, 54452, 23675, 43508, 63839, 26999, 83699, 77415, 36885, 21099, 37638, 44294, 51301, 21407, 35472, 22812, 19575, 82282, 92354, 83296, 60051, 60827, 10252, 97548, 86762, 90120, 54776, 10573, 60041, 8837, 15513, 75819, 97248, 41362, 19139, 76830, 80428, 86137, 83774, 65843, 42548, 96464, 1653, 94499, 97051, 31490, 26371, 98708, 57928, 56241, 76929, 17743, 81886, 97748, 61651, 1778, 14855, 48801, 65417, 38525, 27935, 62838, 53266, 69513, 8352, 65282, 91895, 9815, 19637, 84527, 23111, 99042, 4967, 1413, 76721, 30986, 79972, 89648, 50324, 30685, 15994, 46189, 42183, 49629, 14379, 40285, 36370, 57656, 19324, 30127, 32548, 34400, 46391, 96580, 641, 59260, 47331, 51899, 8201, 29975, 93104, 4508, 49506, 61078, 25173, 57897, 41701, 16604, 27960, 6174, 10887, 87478, 18519, 45351, 94664, 76025, 43593, 51037])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_coins_for_fruits/java_tests/Main.java b/minimum_number_of_coins_for_fruits/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..5c3baa24343be03eb9602583d2b0c9ba18f43dd6 --- /dev/null +++ b/minimum_number_of_coins_for_fruits/java_tests/Main.java @@ -0,0 +1,24 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(4, minimumCoins(Arrays.asList(3,1,2))); +} +@Test +public void test2() { + assertEquals(2, minimumCoins(Arrays.asList(1,10,1,1))); +} +@Test +public void test3() { + assertEquals(39, minimumCoins(Arrays.asList(26,18,6,12,49,7,45,45))); +} + +} diff --git a/minimum_number_of_coins_for_fruits/meta.json b/minimum_number_of_coins_for_fruits/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..d641906baa52f3ccc0293c221bc9e21e5b6b8858 --- /dev/null +++ b/minimum_number_of_coins_for_fruits/meta.json @@ -0,0 +1,2327 @@ +{ + "id": 3209, + "name": "minimum_number_of_coins_for_fruits", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimum-number-of-coins-for-fruits/", + "date": "2023-11-11 00:00:00", + "task_description": "You are given an **0-indexed** integer array `prices` where `prices[i]` denotes the number of coins needed to purchase the `(i + 1)th` fruit. The fruit market has the following reward for each fruit: If you purchase the `(i + 1)th` fruit at `prices[i]` coins, you can get any number of the next `i` fruits for free. **Note** that even if you **can** take fruit `j` for free, you can still purchase it for `prices[j - 1]` coins to receive its reward. Return the **minimum** number of coins needed to acquire all the fruits. **Example 1:** **Input:** prices = [3,1,2] **Output:** 4 **Explanation:** Purchase the 1st fruit with `prices[0] = 3` coins, you are allowed to take the 2nd fruit for free. Purchase the 2nd fruit with `prices[1] = 1` coin, you are allowed to take the 3rd fruit for free. Take the 3rd fruit for free. Note that even though you could take the 2nd fruit for free as a reward of buying 1st fruit, you purchase it to receive its reward, which is more optimal. **Example 2:** **Input:** prices = [1,10,1,1] **Output:** 2 **Explanation:** Purchase the 1st fruit with `prices[0] = 1` coin, you are allowed to take the 2nd fruit for free. Take the 2nd fruit for free. Purchase the 3rd fruit for `prices[2] = 1` coin, you are allowed to take the 4th fruit for free. Take the 4th fruit for free. **Example 3:** **Input:** prices = [26,18,6,12,49,7,45,45] **Output:** 39 **Explanation:** Purchase the 1st fruit with `prices[0] = 26` coin, you are allowed to take the 2nd fruit for free. Take the 2nd fruit for free. Purchase the 3rd fruit for `prices[2] = 6` coin, you are allowed to take the 4th, 5th and 6th (the next three) fruits for free. Take the 4th fruit for free. Take the 5th fruit for free. Purchase the 6th fruit with `prices[5] = 7` coin, you are allowed to take the 8th and 9th fruit for free. Take the 7th fruit for free. Take the 8th fruit for free. Note that even though you could take the 6th fruit for free as a reward of buying 3rd fruit, you purchase it to receive its reward, which is more optimal. **Constraints:** `1 <= prices.length <= 1000` `1 <= prices[i] <= 105`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "prices = [3,1,2]", + "output": "4 " + }, + { + "label": "Example 2", + "input": "prices = [1,10,1,1]", + "output": "2 " + }, + { + "label": "Example 3", + "input": "prices = [26,18,6,12,49,7,45,45]", + "output": "39 " + } + ], + "private_test_cases": [ + { + "input": [ + 25274, + 21829, + 95346, + 28245, + 24245, + 37803, + 38360, + 16039, + 31802, + 23193, + 33504, + 97219, + 16925, + 70574, + 13560, + 7625, + 82860, + 76280, + 96716, + 73895, + 22692, + 51136, + 87146, + 65163, + 51629, + 44000, + 20919, + 25697, + 77628, + 21836, + 24398, + 54626, + 26704, + 28996, + 75626, + 49812, + 14484, + 90212, + 29445, + 28574, + 66907, + 74570, + 89418, + 32886, + 32293, + 6088, + 55831, + 21697, + 38819, 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+ 54732, + 35443, + 73746, + 45188, + 26264, + 66716, + 40676, + 19709, + 63202, + 32250, + 67215, + 87263, + 18164, + 16676, + 27857, + 68756, + 29242, + 84507, + 86346, + 43396, + 1213, + 86118, + 62582, + 2933, + 29594, + 59674, + 95135, + 44620, + 16763, + 9675, + 52980, + 19444, + 58525, + 62194, + 18615, + 98255, + 25243, + 73750, + 77295, + 61753, + 61977, + 87623, + 57834, + 67439, + 10996, + 16831, + 4917, + 73350, + 73124, + 45534, + 85077, + 82745, + 84723, + 23384, + 77826, + 55246, + 16331, + 49665, + 39432, + 39296, + 89059, + 60530, + 55938, + 77319, + 12293, + 12810, + 12271, + 12400, + 21891, + 48731, + 11351, + 9901, + 40298, + 77776, + 46630, + 70943, + 54415, + 14597, + 67429, + 35299, + 66982, + 49634, + 9507, + 1537, + 30693, + 60557, + 56492, + 87789, + 20565, + 40722, + 88773, + 35744, + 19306, + 48511, + 22901, + 64568, + 37310, + 67408, + 34501, + 39600, + 21970, + 23632, + 33731, + 38690, + 54452, + 23675, + 43508, + 63839, + 26999, + 83699, + 77415, + 36885, + 21099, + 37638, + 44294, + 51301, + 21407, + 35472, + 22812, + 19575, + 82282, + 92354, + 83296, + 60051, + 60827, + 10252, + 97548, + 86762, + 90120, + 54776, + 10573, + 60041, + 8837, + 15513, + 75819, + 97248, + 41362, + 19139, + 76830, + 80428, + 86137, + 83774, + 65843, + 42548, + 96464, + 1653, + 94499, + 97051, + 31490, + 26371, + 98708, + 57928, + 56241, + 76929, + 17743, + 81886, + 97748, + 61651, + 1778, + 14855, + 48801, + 65417, + 38525, + 27935, + 62838, + 53266, + 69513, + 8352, + 65282, + 91895, + 9815, + 19637, + 84527, + 23111, + 99042, + 4967, + 1413, + 76721, + 30986, + 79972, + 89648, + 50324, + 30685, + 15994, + 46189, + 42183, + 49629, + 14379, + 40285, + 36370, + 57656, + 19324, + 30127, + 32548, + 34400, + 46391, + 96580, + 641, + 59260, + 47331, + 51899, + 8201, + 29975, + 93104, + 4508, + 49506, + 61078, + 25173, + 57897, + 41701, + 16604, + 27960, + 6174, + 10887, + 87478, + 18519, + 45351, + 94664, + 76025, + 43593, + 51037 + ], + "output": 198246 + } + ], + "haskell_template": "minimumCoins :: [Int] -> Int\nminimumCoins prices ", + "ocaml_template": "let minimumCoins (prices: int list) : int = ", + "scala_template": "def minimumCoins(prices: List[Int]): Int = { \n \n}", + "java_template": "class Solution {\n public int minimumCoins(int[] prices) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimumCoins(self, prices):\n \"\"\"\n :type prices: List[int]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_number_of_coins_for_fruits/ocaml_tests/main.ml b/minimum_number_of_coins_for_fruits/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..9f2e2f7d0eb48b9a5f7bf82844f344bff38fbf9b --- /dev/null +++ b/minimum_number_of_coins_for_fruits/ocaml_tests/main.ml @@ -0,0 +1,45 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minimumCoins (prices: int list) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 4 (minimumCoins [3;1;2]) + +let test2 _ = assert_equal 2 (minimumCoins [1;10;1;1]) + +let test3 _ = assert_equal 39 (minimumCoins [26;18;6;12;49;7;45;45]) + +let test4 _ = assert_equal 39 (minimumCoins [25274; 21829; 95346; 28245; 24245; 37803; 38360; 16039; 31802; 23193; 33504; 97219; 16925; 70574; 13560; 7625; 82860; 76280; 96716; 73895; 22692; 51136; 87146; 65163; 51629; 44000; 20919; 25697; 77628; 21836; 24398; 54626; 26704; 28996; 75626; 49812; 14484; 90212; 29445; 28574; 66907; 74570; 89418; 32886; 32293; 6088; 55831; 21697; 38819; 74671; 47965; 11396; 66086; 16298; 21840; 85271; 75761; 9501; 95228; 19405; 23632; 24389; 24377; 62787; 96480; 57008; 84889; 54563; 46663; 15678; 50535; 72823; 2389; 77445; 32480; 90368; 15052; 43885; 35417; 24399; 26527; 56252; 53344; 97174; 14198; 55647; 31911; 55084; 97817; 176; 59785; 12706; 98256; 70328; 87691; 68884; 52055; 61581; 28214; 80709; 96084; 34913; 19845; 43427; 56047; 91419; 37292; 28720; 18420; 64021; 28012; 57830; 5738; 75211; 45206; 4045; 23675; 12586; 22254; 4665; 27040; 79391; 22283; 46279; 41200; 76915; 1176; 22144; 14147; 24175; 89960; 44127; 44437; 84993; 31304; 87132; 61776; 89137; 50126; 36772; 77920; 65015; 70168; 44093; 43002; 84834; 4751; 69070; 22323; 97538; 21920; 76721; 41462; 86518; 68262; 75616; 4607; 55684; 61921; 93969; 18161; 31598; 3124; 30911; 37361; 68210; 7329; 76304; 3770; 54397; 74791; 92941; 55638; 29337; 59087; 27593; 17671; 66290; 7105; 42309; 91197; 52966; 89293; 51785; 17079; 3369; 72463; 43418; 99070; 5560; 66924; 10423; 8102; 92488; 27378; 18189; 91738; 33005; 32280; 49365; 87150; 49628; 38591; 31944; 40121; 87860; 40269; 56710; 3281; 32381; 92163; 89701; 32387; 3807; 77778; 18988; 48548; 39641; 95800; 5179; 29904; 28267; 63162; 83210; 84095; 52268; 88162; 90863; 93578; 7550; 72386; 47560; 16251; 26075; 5196; 59010; 98520; 25039; 93383; 29945; 10287; 65817; 66536; 76113; 79093; 17575; 61324; 51883; 20694; 60603; 28450; 63310; 73433; 86161; 6785; 57728; 52602; 64516; 85688; 53199; 77800; 17631; 78309; 30500; 51212; 22004; 58234; 7996; 28086; 80252; 15692; 99887; 88585; 94936; 77129; 73452; 76823; 89339; 79384; 79277; 26511; 38364; 74974; 75977; 48064; 7543; 45588; 98664; 73282; 20401; 75286; 87778; 86337; 67886; 8907; 20380; 17677; 69449; 79567; 62464; 41909; 55384; 11362; 14807; 7294; 87880; 96017; 99971; 88796; 10323; 67695; 77267; 51342; 2682; 205; 64755; 27214; 65733; 85496; 23706; 88159; 28288; 98958; 76058; 78709; 71098; 54940; 97467; 45648; 21663; 20507; 75111; 78383; 55692; 39811; 20207; 98747; 6294; 59015; 11362; 26670; 49111; 72097; 87180; 34887; 97415; 86399; 93755; 12391; 78121; 49288; 89879; 75280; 77655; 38577; 54617; 31076; 75623; 62253; 29826; 4761; 30602; 22208; 72349; 8736; 34530; 47544; 81048; 39409; 3121; 75148; 71824; 85852; 26634; 22537; 14791; 13582; 32043; 3; 14194; 1509; 67020; 27193; 76831; 48821; 5791; 39372; 87427; 3266; 31240; 85126; 44559; 74066; 54239; 34138; 93964; 63328; 73840; 75331; 12796; 83605; 38516; 87981; 25519; 69524; 24068; 58527; 14034; 97772; 75690; 97292; 12094; 18063; 57660; 59622; 15009; 9947; 47798; 14709; 56415; 8481; 78315; 58717; 29398; 38564; 45851; 12726; 1148; 61644; 62166; 69410; 1682; 28420; 40121; 77581; 98494; 82847; 14444; 84529; 16546; 3163; 55333; 12656; 1980; 52693; 8546; 30411; 77251; 48376; 77286; 77690; 75453; 95132; 79815; 313; 11257; 68173; 69882; 82518; 4405; 90998; 85976; 55016; 70891; 87410; 87579; 332; 9433; 49780; 77044; 63658; 75626; 97957; 34844; 25115; 12789; 57294; 23840; 69431; 36106; 22662; 10300; 61423; 44506; 93224; 53515; 90565; 27916; 90476; 63726; 33299; 43574]) + +let test5 _ = assert_equal 39 (minimumCoins [87456; 62878; 2902; 19684; 18472; 71532; 47090; 95104; 93715; 7242; 12971; 42860; 52919; 24131; 30584; 70208; 97914; 47047; 90047; 47793; 53991; 59800; 41309; 66673; 58872; 5251; 11960; 56641; 62105; 78866; 64470; 61227; 17719; 77876; 68947; 20734; 66117; 45917; 68884; 65689; 38691; 29680; 96821; 27581; 62125; 59353; 64541; 49569; 9569; 76300; 60736; 65234; 81941; 98028; 64952; 65082; 91370; 92902; 88308; 74634; 22593; 1424; 83187; 95049; 54761; 31556; 85312; 30480; 47625; 37928; 12594; 50370; 91529; 93968; 75410; 25030; 87006; 10469; 72915; 9229; 23726; 9072; 84395; 10898; 81428; 41910; 69049; 90322; 41725; 23712; 56668; 95116; 85601; 19800; 37019; 45850; 88633; 99940; 11015; 93824; 17633; 41577; 74372; 79513; 32894; 52410; 53586; 88069; 72276; 20595; 57818; 20651; 23237; 13247; 22506; 96935; 38734; 19604; 67796; 20404; 59826; 10987; 67747; 54172; 41049; 55585; 99181; 3307; 36320; 23217; 38570; 24422; 89438; 74373; 48552; 77461; 27869; 85999; 23599; 63626; 43067; 80563; 10227; 735; 56578; 43862; 6553; 18750; 30742; 31466; 29422; 31765; 7203; 29625; 57602; 97387; 61988; 58919; 84463; 80096; 97805; 6694; 3299; 93698; 68681; 97520; 14321; 24095; 2209; 87482; 28490; 14591; 70301; 91029; 90807; 74788; 68482; 37611; 15297; 62563; 59487; 47095; 67264; 63078; 40520; 33555; 18124; 1678; 88234; 13958; 27021; 13544; 57608; 81353; 81785; 64860; 7708; 9143; 9366; 76781; 51827; 87629; 40455; 84072; 7224; 49524; 18016; 68911; 71537; 7207; 23979; 28366; 80429; 17705; 17657; 20278; 55111; 91874; 99647; 82400; 66899; 40858; 87910; 54519; 33181; 15907; 26509; 1702; 5190; 14305; 96057; 89065; 65316; 37989; 53407; 79703; 37494; 46065; 65536; 96393; 36447; 45812; 88829; 49190; 49430; 54540; 96090; 55284; 63598; 63059; 69078; 27801; 66994; 29261; 60866; 70611; 6747; 38134; 86922; 40672; 19322; 51545; 35953; 86611; 5907; 60819; 44182; 7388; 76210; 73752; 18672; 13205; 36423; 10400; 62260; 62690; 98658; 77575; 50891; 55349; 16424; 1618; 51165; 38135; 35194; 38412; 22192; 96906; 50318; 19300; 41411; 71158; 638; 57903; 60659; 329; 41891; 97441; 18699; 93087; 56300; 59594; 74651; 4680; 21505; 37996; 96514; 84878; 21974; 47520; 301; 28408; 70978; 48326; 22243; 7952; 88939; 36656; 70636; 57347; 32199; 89057; 67554; 53754; 57646; 37996; 66181; 53654; 85595; 88692; 64331; 91864; 10914; 82070; 60825; 1927; 92361; 66082; 77494; 94377; 96529; 88807; 51196; 55666; 90825; 77312; 2279; 32783; 68228; 19170; 36062; 38519; 53159; 17745; 33858; 10841; 27185; 76894; 36642; 73917; 10228; 7893; 37231; 13274; 61549; 43292; 59764; 79262; 6777; 64665; 91246; 43223; 43330; 37727; 38088; 68627; 78509; 24068; 53926; 57526; 45247; 86166; 13774; 11886; 82584; 78138; 2070; 20345; 19377; 74370; 94565; 8802; 9934; 40092; 19034; 43863; 63531; 74324; 90720; 84616; 13947; 18953; 10971; 40124; 47764; 21512; 51855; 93163; 93537; 48420; 58795; 70793; 15406; 64185; 10269; 97514; 94056; 6294; 81886; 62820; 69194; 4396; 82523; 19813; 83426; 94755; 77451; 33750; 7196; 52125; 49081; 4892; 53507; 82658; 19517; 30730; 60257; 82177; 31750; 9876; 40391; 70406; 32192; 61600; 5132; 46579; 89452; 40648; 96364; 53534; 71857; 39507; 905; 8471; 13111; 12125; 14147; 75894; 42053; 62717; 36940; 50594; 50901; 45227; 26669; 2633; 41612; 65779; 17592; 37429; 24384; 18717; 14292; 30803; 40041; 95208; 91884; 12527; 72464; 80393; 988; 18941; 34197; 14541; 1709; 42299; 46355; 41995; 83214; 23682; 50805; 86339; 36149; 75794; 37412; 19184; 21949; 700; 66087; 49442; 96729; 94830; 65052; 68093; 43150; 19919; 9353; 12387; 44944; 75125; 82166; 85707; 91538; 39421; 79330; 48831; 39495; 44036; 21466; 41455; 52815; 43212; 72804; 58376; 68281; 31411; 20636; 57684; 53185; 15382; 73383; 64746; 44022; 47497; 76274; 96038; 54176; 72869; 58876; 38387; 11204; 40250; 47433; 83584; 22167; 25364; 90094; 19675; 84728; 30636; 89583; 6244; 70605; 81838; 73503; 46830; 70779; 80694; 40773; 41043; 7034; 84806; 66315; 45586; 60034; 10368; 36218; 83697; 88771; 34382; 78079; 14202; 13149; 15319; 27466; 40632; 61016; 69860; 72756; 42894; 95686; 8765; 31222]) + +let test6 _ = assert_equal 39 (minimumCoins [51869; 76872; 71438; 92190; 9550; 89065; 40629; 41068; 57474; 45987; 35992; 47570; 10130; 12426; 52908; 43666; 48032; 36253; 21873; 44893; 227; 11500; 85939; 78161; 34907; 84069; 10218; 27662; 35236; 89218; 22436; 60675; 11664; 83328; 88050; 6105; 17949; 31568; 8097; 7233; 50869; 82415; 63501; 90416; 32986; 85801; 97821; 48386; 20538; 2408; 32049; 86059; 15230; 15944; 98583; 83603; 74872; 71531; 13026; 64050; 48867; 72239; 23800; 14169; 23551; 10798; 23069; 76516; 68101; 79800; 32657; 29829; 25147; 17923; 38690; 8792; 96986; 91902; 94129; 73297; 72497; 60846; 1753; 99925; 96434; 74552; 76583; 31658; 19068; 35444; 71542; 83380; 47494; 89460; 58189; 33193; 58053; 14674; 84728; 80857; 65488; 26600; 93647; 68545; 54046; 26631; 92265; 67233; 42661; 49867; 15736; 2102; 8002; 61330; 76155; 26901; 72326; 77760; 54831; 90632; 42238; 51144; 69189; 22235; 23953; 21784; 73191; 60671; 4839; 69324; 33746; 13015; 54889; 47647; 56258; 85843; 77656; 71578; 71605; 65735; 89660; 68045; 44846; 985; 34149; 17138; 69522; 6480; 34878; 20000; 71938; 83332; 81533; 63129; 21679; 85316; 27; 58101; 28263; 69498; 2026; 40106; 34858; 34528; 52298; 40047; 18862; 32912; 98337; 18135; 37362; 8242; 61759; 29342; 58013; 20469; 84606; 35968; 17172; 6685; 33688; 87788; 93531; 68923; 74826; 8069; 38092; 83934; 8406; 21402; 86935; 34789; 14978; 44717; 66086; 81058; 21242; 651; 86265; 96535; 69064; 64625; 17522; 21415; 17422; 70141; 57761; 21879; 96955; 10729; 7682; 81381; 33054; 26685; 62228; 57585; 56290; 57431; 11517; 93911; 99125; 54938; 98434; 71000; 66809; 42981; 74096; 90617; 10267; 23531; 26345; 29313; 48650; 47089; 34490; 29737; 3401; 72495; 5650; 27950; 43725; 71758; 73068; 6527; 65882; 91124; 82704; 66821; 1185; 9895; 1737; 94582; 20932; 30841; 5426; 87057; 83773; 10242; 81924; 93460; 82214; 86165; 57737; 94599; 29387; 95097; 67997; 40303; 46520; 41369; 65466; 64514; 91447; 45386; 97558; 54229; 38763; 18597; 60018; 76088; 97192; 61886; 92528; 4614; 47072; 66699; 67034; 2784; 76997; 50207; 37677; 50388; 97013; 92911; 43473; 87487; 10025; 73680; 23551; 94830; 43389; 71288; 91268; 48165; 74007; 40129; 86140; 45451; 89308; 24718; 81229; 28399; 57816; 36690; 80938; 55650; 67917; 31840; 30277; 54879; 92373; 98101; 59128; 61714; 39370; 41906; 33120; 12184; 55932; 40029; 72890; 18076; 22938; 55599; 95029; 85309; 52944; 82584; 13284; 62167; 12467; 55814; 54668; 51418; 39111; 73149; 72587; 19192; 37043; 53841; 22283; 16035; 33046; 87845; 52730; 69819; 6075; 69258; 95912; 30124; 55001; 5402; 65654; 17722; 64577; 62267]) + +let test7 _ = assert_equal 39 (minimumCoins [85819; 57524; 67472; 96017; 94749; 74943; 9279; 88526; 32; 69933; 71137; 62964; 80714; 61858; 9434; 75908; 95785; 68452; 52898; 91585; 14462; 7420; 12108; 11527; 32345; 16873; 89007; 94831; 90120; 97675; 77799; 19883; 19200; 98977; 22406; 56138; 57252; 70818; 86320; 84110; 46761; 24388; 4171; 70925; 93907; 1837; 41625; 27118; 62687; 23216; 32292; 85764; 93133; 86691; 44539; 66006; 46016; 42710; 67482; 40023; 47949; 36166; 11083; 45107; 83826; 25051; 27909; 38401; 72628; 7145; 6269; 92652; 46089; 96361; 30562; 70625; 5300; 76809; 19756; 59708; 54907; 1627; 77180; 76381; 56002; 2551; 38246; 21336; 68458; 46252; 54817; 88680; 27483; 2093; 42078; 59165; 16204; 67931; 28413; 19485; 28035; 35783; 87279; 33760; 2045; 43157; 85813; 41778; 95093; 85776; 18114; 97737; 13303; 75094; 97281; 16498; 93909; 37643; 84240; 68667; 16991; 70500; 7385; 60269; 97454; 29326; 94025; 63782; 38052; 49540; 10868; 54902; 4988; 51910; 14657; 14938; 76843; 38097; 49596; 56993; 63727; 30414; 2572; 6137; 32420; 12577; 96999; 93014; 53942; 69315; 58199; 37255; 18375; 54081; 91290; 22609; 6842; 16918; 71351; 46609; 31929; 89400; 1993; 91250; 59227; 32065; 15347; 20484; 86308; 50923; 44648; 43756; 68586; 69559; 13845; 5835; 61208; 40854; 92599; 81452; 43584; 21018; 79955; 35160; 63281; 67545; 16735; 11220; 19126; 57525; 97149; 94587; 46908; 37620; 28988; 75624; 74351; 11923; 92867; 48535; 61485; 51034; 99814; 54604; 3293; 30930; 95905; 45278; 85359; 62031; 99563; 55161; 85039; 10717; 41098; 34523; 74455; 74438; 74814; 52944; 60178; 56627; 68731; 51697; 37903; 20145; 93336; 5040; 53163; 73683; 60799; 87001; 33455; 62702; 14010; 44870; 28838; 17667; 1663; 94004; 64936; 99893; 7620; 22159; 5453; 21995; 61858; 11294; 64677; 37538; 93154; 65811; 16625; 51865; 20944; 52964; 55758; 46613; 48471; 94548; 31978; 59427; 50628; 90549; 91316; 84918; 99057; 96266; 94191; 57466; 87265; 69167; 70460; 84562; 24306; 86152; 23483; 23412; 60673; 26751; 22086; 99448; 23981; 14864; 55606; 56632; 76297; 79332; 80268; 78028; 37174; 8736; 33913; 55328; 14816; 35196; 63911; 91240; 47356; 96085; 15734; 20003; 98832; 24111; 49334; 8828; 31295; 76056; 71618; 53369; 8967; 59110; 56024; 16999; 27871; 40634; 73582; 94206; 62950; 21530; 96573; 42104; 9007; 71879; 18850; 18476; 87885; 37004; 2154; 53191; 16386; 21586; 84780; 35593; 84437; 46921; 46179; 85172; 96352; 28586; 22980; 53267; 87861; 45404; 31528; 1075; 23153; 69384; 39249; 21166; 88322; 50843; 6648; 4244; 57045; 82490; 25320; 6299; 9337; 64235; 85921; 54613; 55316; 35699; 9577; 40169; 29763; 92937; 44289; 79322; 85169; 71813; 68135; 5386; 75039; 37667; 73374; 28254; 43072; 73343; 40502; 92572; 47440; 53947; 20702; 17315; 87289; 61731; 54167; 19128; 97148; 79889; 80618; 6366; 18375; 10530; 14395; 73559; 53481; 73810; 91365; 12933; 20099; 1783; 11904; 74293; 35364; 83179; 20742; 20406; 59984; 36489; 72384; 80864; 26720; 56633; 35806; 86671; 25276; 53049; 19967; 67615; 42214; 71190; 37126; 71653; 57011; 76781; 74856; 62086; 76708; 25117; 38639; 15649; 39958; 42697; 59550; 55638; 5399; 47733; 64702; 98646; 21513; 23401; 56358; 92883; 63214; 58143; 68827; 43672; 26406; 40026; 73956; 22509; 97495; 98215; 68560; 66237; 35136; 95803]) + +let test8 _ = assert_equal 39 (minimumCoins [79080; 49226; 66188; 38017; 85603; 77739; 30639; 93768; 18176; 71053; 62748; 88177; 58108; 11316; 2497; 10252; 37227; 43226; 64011; 94374; 45358; 1193; 97674; 1575; 18501; 49270; 46410; 26855; 23713; 70078; 13165; 77640; 68048; 46862; 12163; 42742; 21592; 8493; 64927; 9520; 66459; 17978; 36472; 78894; 44626; 58106; 18859; 50241; 60069; 93319; 38758; 51133; 36974; 92241; 16105; 39943; 71741; 9841; 85910; 84395; 97373; 24564; 31813; 23662; 50943; 5723; 12667; 14300; 54642; 52481; 52262; 63838; 66120; 35806; 82384; 83617; 13167; 73919; 79691; 85522; 71713; 78549; 84724; 87949; 57562; 27674; 59289; 79040; 56150; 60333; 87432; 45641; 65947; 1807; 49974; 56727; 98429; 36259; 70755; 94375; 22242; 54324; 62942; 82666; 21993; 45370; 57035; 13941; 98354; 55861; 24689; 58771; 50870; 9992; 68630; 59845; 52122; 51793; 32097; 21282; 39739; 55815; 98184; 57652; 57706; 18907; 51062; 54207; 71625; 29427; 92042; 40703; 89172; 9242; 42570; 96454; 29696; 87719; 34473; 90568; 19191; 39381; 2100; 30683; 56370; 83672; 15991; 94808; 54732; 35443; 73746; 45188; 26264; 66716; 40676; 19709; 63202; 32250; 67215; 87263; 18164; 16676; 27857; 68756; 29242; 84507; 86346; 43396; 1213; 86118; 62582; 2933; 29594; 59674; 95135; 44620; 16763; 9675; 52980; 19444; 58525; 62194; 18615; 98255; 25243; 73750; 77295; 61753; 61977; 87623; 57834; 67439; 10996; 16831; 4917; 73350; 73124; 45534; 85077; 82745; 84723; 23384; 77826; 55246; 16331; 49665; 39432; 39296; 89059; 60530; 55938; 77319; 12293; 12810; 12271; 12400; 21891; 48731; 11351; 9901; 40298; 77776; 46630; 70943; 54415; 14597; 67429; 35299; 66982; 49634; 9507; 1537; 30693; 60557; 56492; 87789; 20565; 40722; 88773; 35744; 19306; 48511; 22901; 64568; 37310; 67408; 34501; 39600; 21970; 23632; 33731; 38690; 54452; 23675; 43508; 63839; 26999; 83699; 77415; 36885; 21099; 37638; 44294; 51301; 21407; 35472; 22812; 19575; 82282; 92354; 83296; 60051; 60827; 10252; 97548; 86762; 90120; 54776; 10573; 60041; 8837; 15513; 75819; 97248; 41362; 19139; 76830; 80428; 86137; 83774; 65843; 42548; 96464; 1653; 94499; 97051; 31490; 26371; 98708; 57928; 56241; 76929; 17743; 81886; 97748; 61651; 1778; 14855; 48801; 65417; 38525; 27935; 62838; 53266; 69513; 8352; 65282; 91895; 9815; 19637; 84527; 23111; 99042; 4967; 1413; 76721; 30986; 79972; 89648; 50324; 30685; 15994; 46189; 42183; 49629; 14379; 40285; 36370; 57656; 19324; 30127; 32548; 34400; 46391; 96580; 641; 59260; 47331; 51899; 8201; 29975; 93104; 4508; 49506; 61078; 25173; 57897; 41701; 16604; 27960; 6174; 10887; 87478; 18519; 45351; 94664; 76025; 43593; 51037]) + + + (* Grouping test cases *) + let suite = "Test Suite for minimumCoins" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_coins_for_fruits/scala_tests/MySuite.scala b/minimum_number_of_coins_for_fruits/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..e1969f1830e65ed5950f3b20d48f808b9e5a2623 --- /dev/null +++ b/minimum_number_of_coins_for_fruits/scala_tests/MySuite.scala @@ -0,0 +1,36 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimumCoins(List(3,1,2)), 4) + } + + test("test2") { + assertEquals(Main.minimumCoins(List(1,10,1,1)), 2) + } + + test("test3") { + assertEquals(Main.minimumCoins(List(26,18,6,12,49,7,45,45)), 39) + } + + test("test4") { + assertEquals(Main.minimumCoins(25274,21829,95346,28245,24245,37803,38360,16039,31802,23193,33504,97219,16925,70574,13560,7625,82860,76280,96716,73895,22692,51136,87146,65163,51629,44000,20919,25697,77628,21836,24398,54626,26704,28996,75626,49812,14484,90212,29445,28574,66907,74570,89418,32886,32293,6088,55831,21697,38819,74671,47965,11396,66086,16298,21840,85271,75761,9501,95228,19405,23632,24389,24377,62787,96480,57008,84889,54563,46663,15678,50535,72823,2389,77445,32480,90368,15052,43885,35417,24399,26527,56252,53344,97174,14198,55647,31911,55084,97817,176,59785,12706,98256,70328,87691,68884,52055,61581,28214,80709,96084,34913,19845,43427,56047,91419,37292,28720,18420,64021,28012,57830,5738,75211,45206,4045,23675,12586,22254,4665,27040,79391,22283,46279,41200,76915,1176,22144,14147,24175,89960,44127,44437,84993,31304,87132,61776,89137,50126,36772,77920,65015,70168,44093,43002,84834,4751,69070,22323,97538,21920,76721,41462,86518,68262,75616,4607,55684,61921,93969,18161,31598,3124,30911,37361,68210,7329,76304,3770,54397,74791,92941,55638,29337,59087,27593,17671,66290,7105,42309,91197,52966,89293,51785,17079,3369,72463,43418,99070,5560,66924,10423,8102,92488,27378,18189,91738,33005,32280,49365,87150,49628,38591,31944,40121,87860,40269,56710,3281,32381,92163,89701,32387,3807,77778,18988,48548,39641,95800,5179,29904,28267,63162,83210,84095,52268,88162,90863,93578,7550,72386,47560,16251,26075,5196,59010,98520,25039,93383,29945,10287,65817,66536,76113,79093,17575,61324,51883,20694,60603,28450,63310,73433,86161,6785,57728,52602,64516,85688,53199,77800,17631,78309,30500,51212,22004,58234,7996,28086,80252,15692,99887,88585,94936,77129,73452,76823,89339,79384,79277,26511,38364,74974,75977,48064,7543,45588,98664,73282,20401,75286,87778,86337,67886,8907,20380,17677,69449,79567,62464,41909,55384,11362,14807,7294,87880,96017,99971,88796,10323,67695,77267,51342,2682,205,64755,27214,65733,85496,23706,88159,28288,98958,76058,78709,71098,54940,97467,45648,21663,20507,75111,78383,55692,39811,20207,98747,6294,59015,11362,26670,49111,72097,87180,34887,97415,86399,93755,12391,78121,49288,89879,75280,77655,38577,54617,31076,75623,62253,29826,4761,30602,22208,72349,8736,34530,47544,81048,39409,3121,75148,71824,85852,26634,22537,14791,13582,32043,3,14194,1509,67020,27193,76831,48821,5791,39372,87427,3266,31240,85126,44559,74066,54239,34138,93964,63328,73840,75331,12796,83605,38516,87981,25519,69524,24068,58527,14034,97772,75690,97292,12094,18063,57660,59622,15009,9947,47798,14709,56415,8481,78315,58717,29398,38564,45851,12726,1148,61644,62166,69410,1682,28420,40121,77581,98494,82847,14444,84529,16546,3163,55333,12656,1980,52693,8546,30411,77251,48376,77286,77690,75453,95132,79815,313,11257,68173,69882,82518,4405,90998,85976,55016,70891,87410,87579,332,9433,49780,77044,63658,75626,97957,34844,25115,12789,57294,23840,69431,36106,22662,10300,61423,44506,93224,53515,90565,27916,90476,63726,33299,43574), 125524) + } + + test("test5") { + assertEquals(Main.minimumCoins(87456,62878,2902,19684,18472,71532,47090,95104,93715,7242,12971,42860,52919,24131,30584,70208,97914,47047,90047,47793,53991,59800,41309,66673,58872,5251,11960,56641,62105,78866,64470,61227,17719,77876,68947,20734,66117,45917,68884,65689,38691,29680,96821,27581,62125,59353,64541,49569,9569,76300,60736,65234,81941,98028,64952,65082,91370,92902,88308,74634,22593,1424,83187,95049,54761,31556,85312,30480,47625,37928,12594,50370,91529,93968,75410,25030,87006,10469,72915,9229,23726,9072,84395,10898,81428,41910,69049,90322,41725,23712,56668,95116,85601,19800,37019,45850,88633,99940,11015,93824,17633,41577,74372,79513,32894,52410,53586,88069,72276,20595,57818,20651,23237,13247,22506,96935,38734,19604,67796,20404,59826,10987,67747,54172,41049,55585,99181,3307,36320,23217,38570,24422,89438,74373,48552,77461,27869,85999,23599,63626,43067,80563,10227,735,56578,43862,6553,18750,30742,31466,29422,31765,7203,29625,57602,97387,61988,58919,84463,80096,97805,6694,3299,93698,68681,97520,14321,24095,2209,87482,28490,14591,70301,91029,90807,74788,68482,37611,15297,62563,59487,47095,67264,63078,40520,33555,18124,1678,88234,13958,27021,13544,57608,81353,81785,64860,7708,9143,9366,76781,51827,87629,40455,84072,7224,49524,18016,68911,71537,7207,23979,28366,80429,17705,17657,20278,55111,91874,99647,82400,66899,40858,87910,54519,33181,15907,26509,1702,5190,14305,96057,89065,65316,37989,53407,79703,37494,46065,65536,96393,36447,45812,88829,49190,49430,54540,96090,55284,63598,63059,69078,27801,66994,29261,60866,70611,6747,38134,86922,40672,19322,51545,35953,86611,5907,60819,44182,7388,76210,73752,18672,13205,36423,10400,62260,62690,98658,77575,50891,55349,16424,1618,51165,38135,35194,38412,22192,96906,50318,19300,41411,71158,638,57903,60659,329,41891,97441,18699,93087,56300,59594,74651,4680,21505,37996,96514,84878,21974,47520,301,28408,70978,48326,22243,7952,88939,36656,70636,57347,32199,89057,67554,53754,57646,37996,66181,53654,85595,88692,64331,91864,10914,82070,60825,1927,92361,66082,77494,94377,96529,88807,51196,55666,90825,77312,2279,32783,68228,19170,36062,38519,53159,17745,33858,10841,27185,76894,36642,73917,10228,7893,37231,13274,61549,43292,59764,79262,6777,64665,91246,43223,43330,37727,38088,68627,78509,24068,53926,57526,45247,86166,13774,11886,82584,78138,2070,20345,19377,74370,94565,8802,9934,40092,19034,43863,63531,74324,90720,84616,13947,18953,10971,40124,47764,21512,51855,93163,93537,48420,58795,70793,15406,64185,10269,97514,94056,6294,81886,62820,69194,4396,82523,19813,83426,94755,77451,33750,7196,52125,49081,4892,53507,82658,19517,30730,60257,82177,31750,9876,40391,70406,32192,61600,5132,46579,89452,40648,96364,53534,71857,39507,905,8471,13111,12125,14147,75894,42053,62717,36940,50594,50901,45227,26669,2633,41612,65779,17592,37429,24384,18717,14292,30803,40041,95208,91884,12527,72464,80393,988,18941,34197,14541,1709,42299,46355,41995,83214,23682,50805,86339,36149,75794,37412,19184,21949,700,66087,49442,96729,94830,65052,68093,43150,19919,9353,12387,44944,75125,82166,85707,91538,39421,79330,48831,39495,44036,21466,41455,52815,43212,72804,58376,68281,31411,20636,57684,53185,15382,73383,64746,44022,47497,76274,96038,54176,72869,58876,38387,11204,40250,47433,83584,22167,25364,90094,19675,84728,30636,89583,6244,70605,81838,73503,46830,70779,80694,40773,41043,7034,84806,66315,45586,60034,10368,36218,83697,88771,34382,78079,14202,13149,15319,27466,40632,61016,69860,72756,42894,95686,8765,31222), 166749) + } + + test("test6") { + assertEquals(Main.minimumCoins(51869,76872,71438,92190,9550,89065,40629,41068,57474,45987,35992,47570,10130,12426,52908,43666,48032,36253,21873,44893,227,11500,85939,78161,34907,84069,10218,27662,35236,89218,22436,60675,11664,83328,88050,6105,17949,31568,8097,7233,50869,82415,63501,90416,32986,85801,97821,48386,20538,2408,32049,86059,15230,15944,98583,83603,74872,71531,13026,64050,48867,72239,23800,14169,23551,10798,23069,76516,68101,79800,32657,29829,25147,17923,38690,8792,96986,91902,94129,73297,72497,60846,1753,99925,96434,74552,76583,31658,19068,35444,71542,83380,47494,89460,58189,33193,58053,14674,84728,80857,65488,26600,93647,68545,54046,26631,92265,67233,42661,49867,15736,2102,8002,61330,76155,26901,72326,77760,54831,90632,42238,51144,69189,22235,23953,21784,73191,60671,4839,69324,33746,13015,54889,47647,56258,85843,77656,71578,71605,65735,89660,68045,44846,985,34149,17138,69522,6480,34878,20000,71938,83332,81533,63129,21679,85316,27,58101,28263,69498,2026,40106,34858,34528,52298,40047,18862,32912,98337,18135,37362,8242,61759,29342,58013,20469,84606,35968,17172,6685,33688,87788,93531,68923,74826,8069,38092,83934,8406,21402,86935,34789,14978,44717,66086,81058,21242,651,86265,96535,69064,64625,17522,21415,17422,70141,57761,21879,96955,10729,7682,81381,33054,26685,62228,57585,56290,57431,11517,93911,99125,54938,98434,71000,66809,42981,74096,90617,10267,23531,26345,29313,48650,47089,34490,29737,3401,72495,5650,27950,43725,71758,73068,6527,65882,91124,82704,66821,1185,9895,1737,94582,20932,30841,5426,87057,83773,10242,81924,93460,82214,86165,57737,94599,29387,95097,67997,40303,46520,41369,65466,64514,91447,45386,97558,54229,38763,18597,60018,76088,97192,61886,92528,4614,47072,66699,67034,2784,76997,50207,37677,50388,97013,92911,43473,87487,10025,73680,23551,94830,43389,71288,91268,48165,74007,40129,86140,45451,89308,24718,81229,28399,57816,36690,80938,55650,67917,31840,30277,54879,92373,98101,59128,61714,39370,41906,33120,12184,55932,40029,72890,18076,22938,55599,95029,85309,52944,82584,13284,62167,12467,55814,54668,51418,39111,73149,72587,19192,37043,53841,22283,16035,33046,87845,52730,69819,6075,69258,95912,30124,55001,5402,65654,17722,64577,62267), 180020) + } + + test("test7") { + assertEquals(Main.minimumCoins(85819,57524,67472,96017,94749,74943,9279,88526,32,69933,71137,62964,80714,61858,9434,75908,95785,68452,52898,91585,14462,7420,12108,11527,32345,16873,89007,94831,90120,97675,77799,19883,19200,98977,22406,56138,57252,70818,86320,84110,46761,24388,4171,70925,93907,1837,41625,27118,62687,23216,32292,85764,93133,86691,44539,66006,46016,42710,67482,40023,47949,36166,11083,45107,83826,25051,27909,38401,72628,7145,6269,92652,46089,96361,30562,70625,5300,76809,19756,59708,54907,1627,77180,76381,56002,2551,38246,21336,68458,46252,54817,88680,27483,2093,42078,59165,16204,67931,28413,19485,28035,35783,87279,33760,2045,43157,85813,41778,95093,85776,18114,97737,13303,75094,97281,16498,93909,37643,84240,68667,16991,70500,7385,60269,97454,29326,94025,63782,38052,49540,10868,54902,4988,51910,14657,14938,76843,38097,49596,56993,63727,30414,2572,6137,32420,12577,96999,93014,53942,69315,58199,37255,18375,54081,91290,22609,6842,16918,71351,46609,31929,89400,1993,91250,59227,32065,15347,20484,86308,50923,44648,43756,68586,69559,13845,5835,61208,40854,92599,81452,43584,21018,79955,35160,63281,67545,16735,11220,19126,57525,97149,94587,46908,37620,28988,75624,74351,11923,92867,48535,61485,51034,99814,54604,3293,30930,95905,45278,85359,62031,99563,55161,85039,10717,41098,34523,74455,74438,74814,52944,60178,56627,68731,51697,37903,20145,93336,5040,53163,73683,60799,87001,33455,62702,14010,44870,28838,17667,1663,94004,64936,99893,7620,22159,5453,21995,61858,11294,64677,37538,93154,65811,16625,51865,20944,52964,55758,46613,48471,94548,31978,59427,50628,90549,91316,84918,99057,96266,94191,57466,87265,69167,70460,84562,24306,86152,23483,23412,60673,26751,22086,99448,23981,14864,55606,56632,76297,79332,80268,78028,37174,8736,33913,55328,14816,35196,63911,91240,47356,96085,15734,20003,98832,24111,49334,8828,31295,76056,71618,53369,8967,59110,56024,16999,27871,40634,73582,94206,62950,21530,96573,42104,9007,71879,18850,18476,87885,37004,2154,53191,16386,21586,84780,35593,84437,46921,46179,85172,96352,28586,22980,53267,87861,45404,31528,1075,23153,69384,39249,21166,88322,50843,6648,4244,57045,82490,25320,6299,9337,64235,85921,54613,55316,35699,9577,40169,29763,92937,44289,79322,85169,71813,68135,5386,75039,37667,73374,28254,43072,73343,40502,92572,47440,53947,20702,17315,87289,61731,54167,19128,97148,79889,80618,6366,18375,10530,14395,73559,53481,73810,91365,12933,20099,1783,11904,74293,35364,83179,20742,20406,59984,36489,72384,80864,26720,56633,35806,86671,25276,53049,19967,67615,42214,71190,37126,71653,57011,76781,74856,62086,76708,25117,38639,15649,39958,42697,59550,55638,5399,47733,64702,98646,21513,23401,56358,92883,63214,58143,68827,43672,26406,40026,73956,22509,97495,98215,68560,66237,35136,95803), 188878) + } + + test("test8") { + assertEquals(Main.minimumCoins(79080,49226,66188,38017,85603,77739,30639,93768,18176,71053,62748,88177,58108,11316,2497,10252,37227,43226,64011,94374,45358,1193,97674,1575,18501,49270,46410,26855,23713,70078,13165,77640,68048,46862,12163,42742,21592,8493,64927,9520,66459,17978,36472,78894,44626,58106,18859,50241,60069,93319,38758,51133,36974,92241,16105,39943,71741,9841,85910,84395,97373,24564,31813,23662,50943,5723,12667,14300,54642,52481,52262,63838,66120,35806,82384,83617,13167,73919,79691,85522,71713,78549,84724,87949,57562,27674,59289,79040,56150,60333,87432,45641,65947,1807,49974,56727,98429,36259,70755,94375,22242,54324,62942,82666,21993,45370,57035,13941,98354,55861,24689,58771,50870,9992,68630,59845,52122,51793,32097,21282,39739,55815,98184,57652,57706,18907,51062,54207,71625,29427,92042,40703,89172,9242,42570,96454,29696,87719,34473,90568,19191,39381,2100,30683,56370,83672,15991,94808,54732,35443,73746,45188,26264,66716,40676,19709,63202,32250,67215,87263,18164,16676,27857,68756,29242,84507,86346,43396,1213,86118,62582,2933,29594,59674,95135,44620,16763,9675,52980,19444,58525,62194,18615,98255,25243,73750,77295,61753,61977,87623,57834,67439,10996,16831,4917,73350,73124,45534,85077,82745,84723,23384,77826,55246,16331,49665,39432,39296,89059,60530,55938,77319,12293,12810,12271,12400,21891,48731,11351,9901,40298,77776,46630,70943,54415,14597,67429,35299,66982,49634,9507,1537,30693,60557,56492,87789,20565,40722,88773,35744,19306,48511,22901,64568,37310,67408,34501,39600,21970,23632,33731,38690,54452,23675,43508,63839,26999,83699,77415,36885,21099,37638,44294,51301,21407,35472,22812,19575,82282,92354,83296,60051,60827,10252,97548,86762,90120,54776,10573,60041,8837,15513,75819,97248,41362,19139,76830,80428,86137,83774,65843,42548,96464,1653,94499,97051,31490,26371,98708,57928,56241,76929,17743,81886,97748,61651,1778,14855,48801,65417,38525,27935,62838,53266,69513,8352,65282,91895,9815,19637,84527,23111,99042,4967,1413,76721,30986,79972,89648,50324,30685,15994,46189,42183,49629,14379,40285,36370,57656,19324,30127,32548,34400,46391,96580,641,59260,47331,51899,8201,29975,93104,4508,49506,61078,25173,57897,41701,16604,27960,6174,10887,87478,18519,45351,94664,76025,43593,51037), 198246) + } + +} diff --git a/minimum_number_of_coins_to_be_added/haskell_tests/Main.hs b/minimum_number_of_coins_to_be_added/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..7aae1b226188327c58a6c9ad85e0e8c27b3f915b --- /dev/null +++ b/minimum_number_of_coins_to_be_added/haskell_tests/Main.hs @@ -0,0 +1,45 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimumAddedCoins [1,4,10] 19)," 2 (minimumAddedCoins [1,4,10] 19)) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimumAddedCoins [1,4,10,5,7,19] 19)," 1 (minimumAddedCoins [1,4,10,5,7,19] 19)) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimumAddedCoins [1,1,1] 20)," 3 (minimumAddedCoins [1,1,1] 20)) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimumAddedCoins [2, 3, 4, 7, 7, 8, 8, 11, 12, 12, 15, 15, 16, 17, 19, 19, 20, 20, 21, 25, 25, 26, 27, 29, 30, 30, 31, 32, 32, 33, 33, 33, 34, 35, 35, 35, 35, 36, 36, 36, 37, 38, 38, 38, 40, 41, 41, 42, 44, 44, 44, 45, 45, 46, 46, 48, 49, 50, 50, 51, 51, 52, 53, 54, 54, 55, 55, 55, 56, 56, 59, 62, 63, 64, 65, 66, 66, 68, 68, 68, 69, 69, 70, 70, 71, 72, 72, 74, 75, 75, 76, 77, 77, 77, 77, 77, 78, 79, 79, 81, 82, 85, 85, 86, 87, 87, 88, 88, 89, 90, 90, 90, 95, 95, 98, 98, 98, 102, 104, 105, 106, 107, 108, 109, 110, 110, 111, 113, 114, 114, 115, 117, 117, 118, 120, 120, 121, 121, 123, 124, 125, 125, 125, 127, 127, 128, 128, 128, 131, 131, 133, 134, 134, 135, 137, 137, 138, 138, 138, 139, 139, 140, 140, 141, 144, 144, 144, 145, 146, 146, 146, 148, 148, 151, 152, 153, 154, 154, 155, 155, 156, 157, 160, 160, 160, 162, 163, 163, 164, 165, 165, 166, 167, 168, 169, 169, 170, 170, 171, 172, 172, 172, 174, 176, 178, 178, 179, 180, 181, 183, 184, 187, 187, 188, 189, 190, 193, 195, 195, 196, 196, 197, 198, 200, 200, 202, 203, 203, 206, 206, 206, 206, 206, 207, 207, 207, 209, 210, 210, 211, 211, 211, 213, 214, 214, 214, 217, 218, 218, 218, 219, 219, 221, 223, 223, 226, 226, 227, 230, 230, 232, 233, 234, 237, 241, 241, 241, 242, 243, 244, 245, 246, 246, 246, 246, 249, 250, 250, 251, 251, 255, 256, 257, 257, 258, 258, 258, 259, 259, 260, 261, 262, 263, 264, 264, 265, 265, 267, 268, 268, 269, 269, 270, 271, 271, 272, 272, 272, 274, 275, 275, 276, 280, 281, 281, 284, 284, 285, 285, 286, 288, 288, 289, 289, 289, 291, 292, 293, 294, 294, 296, 296, 296, 297, 298, 298, 299, 299, 302, 302, 303, 303, 305, 306, 307, 308, 309, 311, 312, 312, 313, 315, 316, 316, 317, 317, 318, 318, 323, 325, 325, 326, 329, 329, 330, 330, 332, 332, 332, 333, 333, 333, 333, 334, 334, 335, 335, 336, 337, 338, 338, 338, 338, 341, 342, 342, 342, 344, 344, 346, 346, 347, 347, 347, 347, 348, 348, 348, 349, 350, 351, 352, 353, 353, 354, 354, 354, 355, 355, 355, 356, 356, 356, 358, 359, 359, 362, 362, 363, 369, 370, 371, 371, 373, 373, 377, 377, 377, 378, 378, 379, 379, 381, 381, 381, 381, 382, 383, 384, 388, 389, 389, 390, 391, 391, 394, 395, 395, 396, 397, 398, 399, 400, 400, 401, 403, 403, 403, 404, 404, 405, 405, 405, 407, 407, 408, 410, 411, 411, 411, 411, 411, 411, 412, 412, 413, 413, 415, 417, 417, 418, 418, 420, 421, 422, 422, 423, 423, 423, 423, 425, 425, 426, 428, 430, 430, 432, 433, 433, 434, 437, 439, 440, 441, 441, 441, 442, 442, 444, 444, 448, 454, 458, 458, 458, 458, 458, 459, 462, 462, 463, 464, 465, 465, 465, 466, 468, 469, 471, 471, 472, 472, 473, 473, 475, 476, 476, 477, 478, 479, 480, 482, 482, 482, 485, 486, 488, 488, 488, 488, 489, 491, 491, 492, 492, 492, 493, 494, 495, 495, 496, 496, 499, 501, 501, 502, 503, 506, 506, 506, 506, 507, 507, 511, 512, 512, 513, 513, 514, 514, 515, 515, 516, 518, 518, 518, 520, 521, 522, 522, 525, 525, 525, 527, 528, 528, 529, 532, 532, 532, 535, 536, 537, 538, 538, 539, 542, 543, 547, 547, 548, 548, 550, 552, 552, 552, 553, 553, 553, 553, 554, 556, 556, 556, 558, 558, 558, 560, 562, 563, 564, 565, 567, 568, 569, 569, 571, 572, 573, 575, 576, 576, 576, 577, 579, 580, 583, 584, 584, 585, 585, 590, 590, 590, 591, 593, 595, 596, 596, 597, 597, 597, 599, 604, 606, 607, 608, 609, 610, 612, 613, 613, 614, 615, 617, 619, 620, 621, 622, 624, 624, 625, 626, 627, 627, 629, 631, 632, 632, 633, 633, 633, 633, 633, 635, 637, 637, 638, 639, 640, 641, 642, 644, 645, 646, 646, 647, 647, 647, 649, 650, 654, 654, 654, 654, 655, 655, 656, 656, 657, 657, 657, 658, 660, 661, 665, 665, 669, 670, 670, 671, 672, 673, 673, 675, 676, 676, 679, 680, 680, 680, 681, 682, 684, 689, 690, 690, 691, 691, 692, 695, 696, 697, 697, 699, 699, 699, 700, 700, 701, 702, 702, 703, 704, 706, 707, 709, 709, 709, 710, 711, 711, 718, 719, 720, 723, 725, 726, 726, 728, 728, 729, 729, 730, 730, 731, 731, 732, 732, 737, 738, 738, 739, 739, 740, 741, 741, 741, 742, 742, 743, 743, 743, 743, 744, 745, 745, 747, 747, 748, 749, 749, 750, 750, 752, 755, 755, 757, 758, 758, 759, 760, 761, 762, 762, 763, 764, 764, 764, 766, 766, 767, 768, 768, 768, 769, 770, 771, 771, 771, 772, 773, 774, 774, 774, 777, 778, 778, 779, 779, 779, 783, 783, 784, 784, 784, 785, 787, 788, 791, 791, 792, 792, 792, 793, 793, 796, 796, 797, 797, 798, 798, 799, 801, 801, 802, 804, 806, 808, 810, 811, 814, 814, 814, 815, 815, 815, 816, 817, 818, 818, 818, 818, 819, 821, 822, 826, 827, 828, 830, 832, 833, 835, 836, 838, 838, 839, 841, 842, 843, 845, 846, 846, 848, 849, 849, 850, 853, 853, 854, 857, 857, 859, 860, 860, 862, 863, 863, 864, 864, 864, 865, 866, 866, 867, 867, 867, 868, 868, 871, 872, 872, 874, 874, 876, 876, 876, 877, 878, 879, 880, 881, 883, 883, 885, 887, 888, 889, 889, 889, 890, 892, 894, 895, 897, 897, 898, 899, 899, 901, 901, 903, 903, 905, 906, 907, 908, 909, 911, 911, 912, 916, 916, 917, 918, 918, 918, 919, 920, 920, 920, 922, 922, 923, 923, 926, 927, 929, 930, 930, 931, 932, 934, 935, 935, 936, 937, 940, 940, 940, 941, 942, 944, 945, 945, 945, 946, 947, 947, 949, 950, 951, 952, 955, 956, 956, 958, 960, 960, 960, 961, 963, 963, 964, 964, 965, 966, 967, 970, 970, 972, 973, 974, 975, 976, 976, 977, 978, 978, 981, 983, 987, 987, 988, 989, 992, 993, 993, 994, 995, 996, 997, 998, 998, 999, 999, 999, 1000, 1000, 1002, 1003, 1004, 1005, 1005, 1006, 1007, 1008, 1008, 1008, 1009, 1009, 1009, 1009, 1011, 1012, 1014, 1015, 1016, 1017, 1019, 1019, 1020, 1020, 1022, 1024, 1025, 1026, 1026, 1029, 1029, 1029, 1030, 1031, 1032, 1032, 1034, 1036, 1036, 1036, 1037, 1037, 1037, 1037, 1039, 1040, 1040, 1041, 1042, 1043, 1043, 1045, 1045, 1046, 1046, 1046, 1048, 1049, 1050, 1052, 1053, 1053, 1053, 1054, 1055, 1056, 1056, 1057, 1057, 1058, 1058, 1059, 1060, 1061, 1061, 1062, 1067, 1067, 1068, 1070, 1070, 1070, 1071, 1072, 1076, 1078, 1079, 1082, 1084, 1084, 1085, 1085, 1087, 1087, 1088, 1089, 1089, 1090, 1090, 1090, 1090, 1091, 1092, 1092, 1093, 1094, 1095, 1097, 1099, 1099, 1100, 1100, 1101, 1103, 1103, 1104, 1105, 1106, 1108, 1112, 1112, 1112, 1114, 1114, 1117, 1118, 1121, 1121, 1122, 1123, 1123, 1123, 1124, 1124, 1125, 1126, 1126, 1127, 1128, 1128, 1129, 1129, 1129, 1130, 1131, 1133, 1133, 1134, 1135, 1136, 1136, 1136, 1136, 1138, 1138, 1140, 1140, 1141, 1143, 1147, 1148, 1150, 1150, 1150, 1152, 1154, 1155, 1155, 1155, 1155, 1155, 1155, 1156, 1157, 1158, 1158, 1160, 1160, 1162, 1162, 1164, 1164, 1165, 1165, 1165, 1166, 1166, 1166, 1167, 1167, 1168, 1168, 1169, 1169, 1172, 1172, 1173, 1173, 1173, 1175, 1175, 1176, 1176, 1177, 1177, 1177, 1179, 1179, 1181, 1182, 1183, 1185, 1186, 1186, 1187, 1187, 1190, 1190, 1192, 1192, 1193, 1193, 1195, 1195, 1195, 1196, 1197, 1199, 1201, 1203, 1205, 1206, 1207, 1207, 1207, 1207, 1208, 1209, 1209, 1212, 1212, 1212, 1213, 1213, 1214, 1215, 1216, 1216, 1216, 1217, 1218, 1218, 1219, 1220, 1221, 1222, 1222, 1223, 1223, 1223, 1224, 1226, 1227, 1228, 1228, 1231, 1232, 1232, 1233, 1234, 1235, 1237, 1237, 1237, 1238, 1238, 1240, 1240, 1240, 1241, 1241, 1243, 1243, 1243, 1244, 1245, 1247, 1248, 1249, 1249, 1250, 1251, 1251, 1254, 1256, 1257, 1258, 1259, 1262, 1264, 1265, 1265, 1266, 1268, 1271, 1271, 1273, 1273, 1273, 1276, 1279, 1280, 1281, 1286, 1287, 1287, 1287, 1287, 1287, 1289, 1289, 1289, 1289, 1289, 1290, 1290, 1290, 1292, 1295, 1295, 1295, 1297, 1297, 1298, 1299, 1299, 1299, 1300, 1301, 1302, 1303, 1304, 1304, 1305, 1306, 1307, 1307, 1308, 1308, 1309, 1309, 1309, 1309, 1311, 1311, 1312, 1314, 1315, 1315, 1317, 1318, 1318, 1322, 1322, 1323, 1323, 1324, 1324, 1327, 1328, 1328, 1328, 1328, 1329, 1329, 1329, 1331, 1332, 1333, 1334, 1334, 1334, 1334, 1334, 1336, 1336, 1339, 1339, 1341, 1341, 1342, 1342, 1343, 1346, 1347, 1348, 1348, 1348, 1348, 1350, 1351, 1351, 1352, 1353, 1353, 1356, 1357, 1358, 1359, 1360, 1360, 1360, 1361, 1361, 1363, 1364, 1364, 1364, 1364, 1367, 1368, 1368, 1368, 1369, 1370, 1371, 1371, 1372, 1373, 1374, 1374, 1376, 1376, 1376, 1376, 1376, 1377, 1377, 1377, 1378, 1380, 1380, 1381, 1382, 1383, 1383, 1384, 1384, 1384, 1385, 1385, 1385, 1388, 1388, 1388, 1388, 1389, 1389, 1389, 1391, 1392, 1393, 1395, 1398, 1399, 1399, 1400, 1400, 1402, 1402, 1403, 1403, 1404, 1404, 1406, 1407, 1409, 1415, 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18847, 18849, 18850, 18853, 18854, 18856, 18856, 18856, 18857, 18859, 18860, 18860, 18861, 18863, 18864, 18865, 18865, 18867, 18869, 18870, 18870, 18871, 18872, 18872, 18873, 18873, 18874, 18874, 18876, 18879, 18879, 18880, 18881, 18883, 18883, 18885, 18885, 18885, 18885, 18885, 18890, 18891, 18892, 18892, 18893, 18895, 18896, 18897, 18897, 18897, 18898, 18898, 18898, 18899, 18901, 18902, 18902, 18903, 18905, 18905, 18908, 18908, 18908, 18914, 18916, 18917, 18917, 18917, 18918, 18920, 18923, 18923, 18924, 18924, 18925, 18927, 18929, 18929, 18930, 18931, 18931, 18932, 18933, 18934, 18935, 18935, 18936, 18936, 18936, 18937, 18937, 18938, 18939, 18939, 18940, 18940, 18941, 18941, 18941, 18941, 18941, 18942, 18947, 18949, 18950, 18950, 18951, 18952, 18954, 18954, 18954, 18955, 18956, 18956, 18957, 18959, 18959, 18960, 18960, 18960, 18960, 18961, 18964, 18965, 18965, 18966, 18967, 18968, 18968, 18968, 18968, 18970, 18970, 18978, 18978, 18978, 18980, 18980, 18982, 18983, 18985, 18985, 18986, 18986, 18986, 18987, 18988, 18988, 18988, 18988, 18991, 18992, 18992, 18992, 18993, 18994, 18995, 18996, 18996, 18996, 18998, 19000, 19001, 19001, 19001, 19003, 19004, 19005, 19006, 19010, 19013, 19019, 19019, 19021, 19023, 19023, 19024, 19026, 19026, 19028, 19028, 19029, 19029, 19030, 19030, 19031, 19032, 19032, 19032, 19033, 19033, 19035, 19035, 19036, 19036, 19037, 19037, 19040, 19040, 19041, 19041, 19041, 19042, 19043, 19045, 19046, 19047, 19047, 19048, 19049, 19050, 19050, 19051, 19051, 19058, 19058, 19059, 19059, 19060, 19060, 19060, 19062, 19063, 19063, 19063, 19064, 19065, 19066, 19067, 19067, 19068, 19070, 19070, 19071, 19071, 19072, 19073, 19074, 19074, 19075, 19075, 19075, 19075, 19077, 19079, 19079, 19080, 19080, 19081, 19085, 19087, 19087, 19088, 19089, 19090, 19092, 19092, 19093, 19093, 19093, 19094, 19095, 19096, 19097, 19098, 19098, 19099, 19100, 19101, 19102, 19102, 19103, 19105, 19106, 19106, 19110, 19111, 19111, 19111, 19116, 19117, 19117, 19118, 19119, 19120, 19120, 19121, 19121, 19123, 19125, 19126, 19127, 19130, 19131, 19134, 19134, 19134, 19135, 19135, 19136, 19136, 19136, 19137, 19137, 19139, 19139, 19140, 19140, 19141, 19141, 19143, 19145, 19145, 19145, 19147, 19148, 19148, 19148, 19149, 19149, 19152, 19152, 19152, 19153, 19153, 19154, 19155, 19155, 19155, 19157, 19157, 19157, 19158, 19160, 19161, 19161, 19162, 19162, 19165, 19165, 19166, 19166, 19166, 19166, 19167, 19167, 19168, 19169, 19170, 19171, 19171, 19171, 19172, 19174, 19175, 19176, 19176, 19177, 19177, 19179, 19179, 19180, 19181, 19181, 19184, 19185, 19186, 19186, 19187, 19188, 19188, 19188, 19188, 19192, 19193, 19197, 19197, 19198, 19199, 19199, 19201, 19203, 19204, 19204, 19206, 19206, 19207, 19207, 19208, 19209, 19211, 19211, 19211, 19213, 19213, 19213, 19213, 19214, 19217, 19218, 19220, 19221, 19221, 19221, 19222, 19226, 19228, 19229, 19230, 19231, 19232, 19233, 19234, 19238, 19238, 19238, 19239, 19240, 19240, 19244, 19245, 19245, 19246, 19246, 19247, 19247, 19247, 19247, 19248, 19248, 19248, 19250, 19250, 19255, 19256, 19256, 19256, 19257, 19258, 19258, 19258, 19260, 19262, 19262, 19262, 19264, 19265, 19267, 19269, 19270, 19271, 19272, 19274, 19274, 19276, 19278, 19281, 19281, 19282, 19282, 19283, 19283, 19284, 19286, 19288, 19291, 19291, 19291, 19292, 19295, 19296, 19297, 19298, 19298, 19298, 19299, 19301, 19303, 19304, 19306, 19306, 19306, 19306, 19306, 19308, 19309, 19309, 19309, 19310, 19310, 19311, 19312, 19313, 19314, 19315, 19316, 19316, 19316, 19316, 19317, 19317, 19318, 19318, 19319, 19319, 19319, 19320, 19321, 19321, 19323, 19325, 19327, 19327, 19329, 19329, 19330, 19330, 19331, 19331, 19332, 19333, 19334, 19334, 19335, 19336, 19336, 19337, 19338, 19338, 19339, 19340, 19340, 19341, 19341, 19342, 19342, 19343, 19345, 19348, 19348, 19348, 19349, 19351, 19351, 19352, 19352, 19353, 19355, 19355, 19355, 19356, 19357, 19359, 19359, 19362, 19363, 19364, 19364, 19365, 19368, 19371, 19372, 19375, 19375, 19375, 19375, 19375, 19376, 19377, 19378, 19380, 19382, 19383, 19384, 19384, 19385, 19385, 19385, 19386, 19386, 19387, 19387, 19391, 19391, 19393, 19393, 19394, 19394, 19395, 19395, 19398, 19399, 19399, 19400, 19401, 19402, 19402, 19404, 19405, 19406, 19406, 19407, 19409, 19410, 19410, 19410, 19410, 19411, 19412, 19412, 19412, 19414, 19414, 19417, 19418, 19419, 19419, 19420, 19421, 19422, 19423, 19424, 19425, 19427, 19429, 19429, 19430, 19431, 19433, 19433, 19433, 19433, 19434, 19436, 19438, 19439, 19441, 19442, 19442, 19443, 19444, 19444, 19444, 19444, 19445, 19445, 19445, 19446, 19446, 19447, 19447, 19448, 19449, 19449, 19450, 19450, 19454, 19454, 19455, 19455, 19455, 19456, 19456, 19457, 19457, 19457, 19460, 19461, 19462, 19464, 19465, 19466, 19467, 19467, 19468, 19468, 19469, 19470, 19470, 19472, 19473, 19474, 19474, 19475, 19476, 19476, 19476, 19476, 19477, 19477, 19478, 19480, 19482, 19486, 19486, 19487, 19490, 19491, 19492, 19493, 19493, 19494, 19496, 19497, 19497, 19497, 19497, 19497, 19499, 19499, 19501, 19501, 19501, 19502, 19503, 19503, 19503, 19505, 19505, 19506, 19506, 19508, 19510, 19512, 19512, 19512, 19513, 19515, 19516, 19516, 19517, 19517, 19518, 19518, 19521, 19522, 19522, 19524, 19524, 19524, 19525, 19526, 19526, 19527, 19528, 19528, 19530, 19530, 19532, 19533, 19534, 19534, 19536, 19539, 19540, 19541, 19541, 19542, 19543, 19544, 19544, 19544, 19545, 19546, 19547, 19548, 19549, 19550, 19551, 19551, 19552, 19552, 19553, 19555, 19556, 19556, 19556, 19557, 19558, 19559, 19563, 19563, 19565, 19566, 19569, 19569, 19569, 19571, 19573, 19574, 19575, 19575, 19575, 19578, 19580, 19580, 19581, 19582, 19583, 19585, 19585, 19585, 19587, 19589, 19591, 19591, 19591, 19592, 19592, 19593, 19593, 19593, 19593, 19595, 19595, 19595, 19596, 19598, 19599, 19599, 19599, 19600, 19601, 19601, 19601, 19601, 19602, 19603, 19603, 19603, 19603, 19604, 19604, 19604, 19605, 19605, 19606, 19607, 19607, 19607, 19609, 19609, 19610, 19611, 19611, 19612, 19614, 19615, 19617, 19618, 19618, 19619, 19621, 19621, 19623, 19625, 19625, 19627, 19628, 19629, 19629, 19629, 19630, 19630, 19631, 19631, 19631, 19632, 19633, 19634, 19634, 19635, 19635, 19636, 19638, 19639, 19641, 19641, 19641, 19643, 19643, 19643, 19644, 19646, 19648, 19649, 19650, 19650, 19650, 19653, 19653, 19655, 19655, 19656, 19657, 19657, 19657, 19657, 19660, 19660, 19662, 19663, 19664, 19665, 19667, 19670, 19670, 19671, 19672, 19673, 19673, 19673, 19673, 19674, 19674, 19674, 19675, 19675, 19677, 19680, 19683, 19683, 19684, 19685, 19686, 19687, 19688, 19688, 19689, 19690, 19691, 19691, 19691, 19692, 19692, 19692, 19693, 19693, 19694, 19694, 19695, 19696, 19696, 19697, 19700, 19700, 19700, 19701, 19702, 19703, 19704, 19706, 19708, 19708, 19709, 19709, 19709, 19710, 19710, 19711, 19711, 19712, 19712, 19713, 19715, 19715, 19716, 19716, 19717, 19719, 19720, 19723, 19724, 19724, 19726, 19727, 19727, 19728, 19729, 19729, 19729, 19730, 19730, 19731, 19735, 19737, 19737, 19740, 19743, 19743, 19746, 19747, 19749, 19750, 19754, 19754, 19754, 19754, 19755, 19756, 19757, 19759, 19759, 19760, 19760, 19761, 19761, 19761, 19762, 19762, 19762, 19764, 19764, 19764, 19765, 19767, 19768, 19768, 19769, 19769, 19771, 19771, 19772, 19772, 19773, 19774, 19774, 19774, 19776, 19777, 19778, 19779, 19779, 19779, 19779, 19781, 19782, 19782, 19783, 19783, 19783, 19784, 19785, 19786, 19786, 19786, 19787, 19789, 19791, 19791, 19792, 19792, 19792, 19794, 19795, 19795, 19797, 19797, 19797, 19797, 19798, 19798, 19799, 19801, 19802, 19803, 19804, 19806, 19807, 19808, 19809, 19810, 19810, 19811, 19812, 19812, 19814, 19814, 19815, 19816, 19816, 19817, 19817, 19819, 19819, 19819, 19819, 19820, 19821, 19822, 19823, 19825, 19826, 19826, 19826, 19826, 19827, 19829, 19830, 19831, 19831, 19832, 19834, 19835, 19837, 19837, 19838, 19839, 19841, 19841, 19842, 19842, 19842, 19842, 19843, 19843, 19845, 19847, 19851, 19851, 19853, 19854, 19854, 19857, 19858, 19858, 19858, 19858, 19861, 19861, 19862, 19863, 19867, 19868, 19868, 19869, 19869, 19869, 19870, 19870, 19871, 19872, 19873, 19873, 19875, 19876, 19878, 19879, 19879, 19879, 19880, 19880, 19880, 19880, 19882, 19883, 19883, 19883, 19885, 19885, 19887, 19887, 19887, 19888, 19889, 19889, 19891, 19892, 19893, 19895, 19896, 19897, 19898, 19899, 19899, 19899, 19899, 19900, 19901, 19901, 19905, 19905, 19908, 19911, 19911, 19912, 19913, 19913, 19913, 19914, 19914, 19915, 19915, 19915, 19917, 19919, 19920, 19921, 19922, 19923, 19923, 19924, 19925, 19926, 19927, 19928, 19928, 19930, 19930, 19931, 19932, 19933, 19933, 19933, 19934, 19935, 19935, 19936, 19936, 19937, 19938, 19938, 19939, 19941, 19941, 19942, 19943, 19943, 19946, 19947, 19947, 19950, 19950, 19951, 19952, 19952, 19953, 19954, 19957, 19959, 19961, 19961, 19961, 19962, 19963, 19963, 19965, 19966, 19968, 19970, 19971, 19971, 19972, 19972, 19975, 19976, 19978, 19979, 19979, 19979, 19980, 19982, 19983, 19983, 19983, 19984, 19987, 19987, 19989, 19990, 19991, 19992, 19993, 19993, 19997, 19997, 19998, 19999, 20000, 20000, 20001, 20001, 20002, 20002, 20002, 20005, 20006, 20007, 20007, 20007, 20008, 20008, 20008, 20009, 20009, 20009, 20009, 20010, 20010, 20010, 20011, 20013, 20013, 20014, 20015, 20015, 20016, 20016, 20016, 20017, 20018, 20018, 20019, 20021, 20025, 20025, 20026, 20026, 20026, 20027, 20027, 20028, 20028, 20029, 20030, 20030, 20031, 20032, 20033, 20033, 20033, 20034, 20035, 20035, 20035, 20037, 20037, 20038, 20038, 20038, 20039, 20040, 20040, 20041, 20041, 20041, 20042, 20043, 20046, 20049, 20050, 20050, 20051, 20052, 20052, 20053, 20053, 20054, 20054, 20054, 20054, 20055, 20056, 20057, 20058, 20058, 20059, 20060, 20060, 20060, 20062, 20063, 20063, 20063, 20065, 20066, 20067, 20068, 20068, 20069, 20070, 20070, 20071, 20071, 20071, 20072, 20072, 20072, 20073, 20074, 20079, 20080, 20080, 20081, 20083, 20085, 20086, 20087, 20087, 20088, 20089, 20089, 20090, 20090, 20091, 20092, 20094, 20095, 20096, 20097, 20098, 20098, 20098, 20099, 20099, 20101, 20101, 20103, 20104, 20104, 20107, 20109, 20109, 20111, 20112, 20112, 20117, 20117, 20117, 20117, 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20252, 20253, 20254, 20254, 20255, 20256, 20260, 20261, 20261, 20261, 20262, 20262, 20263, 20263, 20266, 20268, 20268, 20269, 20271, 20272, 20272, 20273, 20274, 20276, 20278, 20278, 20278, 20279, 20279, 20279, 20281, 20282, 20284, 20286, 20287, 20287, 20287, 20288, 20288, 20289, 20290, 20291, 20292, 20292, 20296, 20299, 20299, 20299, 20300, 20304, 20306, 20307, 20309, 20309, 20309, 20309, 20310, 20311, 20311, 20311, 20312, 20313, 20313, 20313, 20314, 20315, 20316, 20317, 20318, 20318, 20318, 20318, 20319, 20320, 20320, 20320, 20321, 20321, 20322, 20324, 20324, 20325, 20328, 20328, 20329, 20329, 20331, 20332, 20333, 20334, 20338, 20341, 20341, 20342, 20343, 20343, 20345, 20345, 20345, 20346, 20346, 20347, 20347, 20348, 20350, 20350, 20350, 20351, 20351, 20352, 20354, 20356, 20356, 20356, 20357, 20359, 20359, 20359, 20360, 20361, 20361, 20364, 20365, 20367, 20368, 20371, 20372, 20375, 20375, 20378, 20378, 20383, 20383, 20384, 20385, 20389, 20389, 20390, 20390, 20391, 20391, 20392, 20393, 20393, 20393, 20395, 20397, 20398, 20400, 20401, 20402, 20403, 20406, 20407, 20407, 20411, 20411, 20413, 20414, 20415, 20417, 20418, 20418, 20420, 20421, 20422, 20423, 20423, 20423, 20423, 20425, 20426, 20431, 20431, 20433, 20435, 20437, 20437, 20439, 20439, 20441, 20446, 20446, 20449, 20449, 20452, 20454, 20454, 20455, 20456, 20456, 20457, 20457, 20459, 20460, 20461, 20461, 20461, 20463, 20464, 20466, 20466, 20466, 20467, 20470, 20470, 20472, 20472, 20473, 20474, 20474, 20475, 20476, 20476, 20479, 20479, 20479, 20479, 20481, 20481, 20482, 20484, 20484, 20485, 20486, 20488, 20489, 20490, 20490, 20490, 20490, 20492, 20492, 20493, 20494, 20495, 20496, 20498, 20499, 20500, 20500, 20501, 20502, 20503, 20504, 20506, 20508, 20509, 20509, 20510, 20511, 20511, 20514, 20515, 20516, 20517, 20518, 20519, 20520, 20520, 20521, 20522, 20525, 20525, 20525, 20527, 20528, 20529, 20529, 20529, 20529, 20530, 20531, 20531, 20532, 20532, 20532, 20533, 20533, 20534, 20535, 20537, 20537, 20537, 20538, 20538, 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20678, 20679, 20679, 20680, 20683, 20683, 20684, 20684, 20685, 20689, 20690, 20692, 20692, 20692, 20693, 20694, 20697, 20698, 20698, 20699, 20702, 20703, 20703, 20707, 20708, 20710, 20712, 20714, 20714, 20715, 20715, 20716, 20717, 20717, 20718, 20718, 20719, 20719, 20719, 20719, 20719, 20720, 20721, 20722, 20723, 20723, 20723, 20724, 20724, 20725, 20726, 20726, 20727, 20727, 20728, 20729, 20729, 20730, 20732, 20732, 20733, 20733, 20735, 20737, 20737, 20737, 20738, 20739, 20740, 20742, 20742, 20745, 20745, 20746, 20747, 20750, 20750, 20751, 20751, 20751, 20753, 20755, 20756, 20757, 20758, 20759, 20760, 20761, 20761, 20762, 20762, 20763, 20765, 20766, 20766, 20766, 20768, 20768, 20769, 20769, 20770, 20772, 20772, 20773, 20776, 20777, 20778, 20780, 20780, 20781, 20782, 20784, 20787, 20787, 20787, 20788, 20789, 20789, 20790, 20790, 20791, 20793, 20793, 20794, 20795, 20795, 20795, 20795, 20799, 20799, 20800, 20801, 20802, 20803, 20803, 20804, 20805, 20805, 20805, 20805, 20807, 20808, 20808, 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41008, 41008, 41008, 41010, 41011, 41011, 41012, 41014, 41015, 41016, 41017, 41017, 41017, 41018, 41020, 41021, 41022, 41024, 41024, 41024, 41025, 41025, 41026, 41027, 41029, 41029, 41030, 41031, 41031, 41034, 41035, 41036, 41038, 41038, 41040, 41041, 41042, 41043, 41044, 41045, 41046, 41046, 41046, 41047, 41047, 41048, 41048, 41051, 41052, 41056, 41056, 41056, 41057, 41057, 41058, 41061, 41063, 41064, 41065, 41065, 41067, 41068, 41071, 41071, 41072, 41072, 41074, 41074, 41076, 41078, 41078, 41078, 41078, 41079, 41079, 41079, 41079, 41080, 41082, 41082, 41083, 41084, 41084, 41086, 41087, 41088, 41088, 41088, 41090, 41090, 41091, 41092, 41092, 41093, 41094, 41094, 41097, 41097, 41097, 41098, 41099, 41099, 41102, 41102, 41104, 41105, 41105, 41107, 41108, 41108, 41109, 41109, 41109, 41110, 41111, 41114, 41114, 41115, 41115, 41115, 41119, 41119, 41119, 41120, 41123, 41123, 41123, 41124, 41125, 41125, 41126, 41126, 41127, 41129, 41129, 41130, 41130, 41131, 41131, 41132, 41133, 41133, 41135, 41135, 41136, 41137, 41138, 41138, 41139, 41140, 41140, 41140, 41140, 41140, 41141, 41141, 41142, 41142, 41142, 41143, 41143, 41144, 41144, 41144, 41149, 41149, 41150, 41152, 41153, 41155, 41159, 41159, 41159, 41160, 41161, 41162, 41162, 41163, 41164, 41164, 41167, 41167, 41171, 41171, 41172, 41172, 41172, 41172, 41173, 41173, 41174, 41175, 41175, 41177, 41177, 41178, 41179, 41179, 41182, 41183, 41185, 41185, 41185, 41186, 41186, 41189, 41190, 41190, 41191, 41193, 41193, 41195, 41196, 41198, 41198, 41198, 41199, 41201, 41202, 41203, 41204, 41206, 41206, 41206, 41209, 41212, 41213, 41213, 41214, 41214, 41215, 41217, 41217, 41218, 41218, 41219, 41219, 41221, 41221, 41222, 41223, 41223, 41224, 41224, 41226, 41228, 41230, 41233, 41233, 41233, 41235, 41235, 41235, 41238, 41240, 41241, 41243, 41244, 41244, 41245, 41246, 41247, 41248, 41248, 41249, 41249, 41250, 41252, 41252, 41252, 41253, 41253, 41253, 41254, 41254, 41254, 41255, 41257, 41257, 41258, 41261, 41261, 41261, 41262, 41265, 41267, 41267, 41271, 41274, 41277, 41278, 41278, 41279, 41280, 41282, 41283, 41283, 41283, 41283, 41284, 41284, 41285, 41289, 41291, 41292, 41294, 41297, 41297, 41301, 41302, 41303, 41305, 41306, 41306, 41306, 41307, 41307, 41312, 41312, 41313, 41315, 41315, 41315, 41316, 41316, 41317, 41317, 41318, 41318, 41318, 41319, 41321, 41322, 41322, 41323, 41324, 41329, 41329, 41330, 41330, 41331, 41335, 41335, 41337, 41338, 41338, 41339, 41340, 41340, 41342, 41347, 41349, 41350, 41350, 41351, 41352, 41352, 41352, 41353, 41353, 41355, 41356, 41356, 41358, 41358, 41360, 41360, 41362, 41363, 41363, 41363, 41363, 41363, 41365, 41366, 41366, 41367, 41369, 41371, 41372, 41372, 41373, 41373, 41374, 41374, 41375, 41375, 41376, 41376, 41377, 41377, 41378, 41380, 41380, 41381, 41381, 41382, 41383, 41383, 41385, 41386, 41386, 41387, 41389, 41390, 41390, 41391, 41392, 41392, 41393, 41393, 41394, 41394, 41396, 41396, 41397, 41398, 41399, 41399, 41399, 41400, 41404, 41406, 41409, 41410, 41410, 41411, 41412, 41412, 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41527, 41531, 41531, 41532, 41535, 41535, 41535, 41536, 41537, 41538, 41538, 41538, 41540, 41542, 41542, 41542, 41542, 41543, 41543, 41543, 41544, 41545, 41546, 41546, 41546, 41549, 41550, 41550, 41550, 41550, 41550, 41551, 41551, 41551, 41552, 41552, 41554, 41555, 41555, 41555, 41556, 41558, 41559, 41560, 41560, 41562, 41562, 41563, 41563, 41564, 41564, 41565, 41566, 41566, 41567, 41567, 41568, 41569, 41570, 41570, 41570, 41572, 41573, 41573, 41573, 41573, 41577, 41578, 41578, 41578, 41580, 41580, 41580, 41580, 41583, 41584, 41584, 41586, 41586, 41586, 41589, 41589, 41591, 41591, 41594, 41595, 41595, 41596, 41597, 41598, 41599, 41599, 41600, 41600, 41601, 41601, 41601, 41605, 41608, 41608, 41610, 41611, 41611, 41611, 41614, 41619, 41620, 41621, 41621, 41622, 41623, 41624, 41624, 41625, 41626, 41628, 41630, 41635, 41636, 41636, 41637, 41642, 41642, 41643, 41643, 41647, 41648, 41648, 41648, 41650, 41654, 41654, 41655, 41655, 41655, 41656, 41657, 41658, 41660, 41661, 41661, 41662, 41667, 41669, 41673, 41674, 41674, 41677, 41677, 41678, 41679, 41679, 41680, 41680, 41682, 41682, 41683, 41684, 41684, 41685, 41685, 41686, 41686, 41686, 41687, 41688, 41689, 41690, 41690, 41690, 41695, 41695, 41698, 41698, 41699, 41699, 41702, 41703, 41705, 41705, 41706, 41707, 41708, 41712, 41712, 41712, 41712, 41713, 41713, 41714, 41714, 41714, 41716, 41716, 41716, 41717, 41717, 41719, 41719, 41720, 41724, 41727, 41728, 41728, 41728, 41729, 41730, 41730, 41732, 41734, 41734, 41734, 41735, 41735, 41737, 41737, 41737, 41738, 41739, 41740, 41740, 41741, 41743, 41743, 41744, 41745, 41745, 41745, 41746, 41748, 41748, 41749, 41750, 41755, 41758, 41758, 41759, 41759, 41759, 41759, 41761, 41762, 41763, 41764, 41764, 41768, 41768, 41768, 41769, 41769, 41769, 41769, 41770, 41770, 41772, 41773, 41773, 41774, 41774, 41776, 41777, 41777, 41777, 41777, 41778, 41778, 41779, 41779, 41779, 41780, 41783, 41783, 41783, 41784, 41784, 41785, 41787, 41789, 41789, 41790, 41791, 41791, 41792, 41792, 41792, 41793, 41794, 41794, 41795, 41795, 41796, 41796, 41797, 41798, 41799, 41801, 41802, 41803, 41804, 41805, 41805, 41806, 41807, 41807, 41807, 41807, 41808, 41809, 41810, 41810, 41811, 41813, 41813, 41817, 41817, 41817, 41817, 41819, 41821, 41822, 41822, 41823, 41823, 41825, 41825, 41825, 41826, 41826, 41827, 41827, 41828, 41828, 41828, 41829, 41829, 41830, 41831, 41832, 41832, 41832, 41835, 41835, 41838, 41839, 41840, 41840, 41840, 41841, 41841, 41842, 41843, 41843, 41844, 41844, 41844, 41846, 41847, 41847, 41848, 41849, 41849, 41850, 41851, 41855, 41855, 41856, 41856, 41858, 41858, 41858, 41860, 41861, 41862, 41862, 41864, 41864, 41864, 41865, 41865, 41867, 41869, 41870, 41870, 41872, 41873, 41873, 41875, 41876, 41876, 41876, 41876, 41877, 41878, 41878, 41879, 41881, 41883, 41883, 41886, 41886, 41888, 41889, 41889, 41890, 41891, 41891, 41893, 41894, 41894, 41895, 41895, 41895, 41895, 41896, 41896, 41896, 41897, 41897, 41898, 41898, 41901, 41901, 41901, 41903, 41904, 41905, 41905, 41905, 41905, 41906, 41906, 41908, 41908, 41909, 41910, 41912, 41912, 41912, 41913, 41913, 41914, 41915, 41916, 41917, 41918, 41920, 41920, 41921, 41924, 41924, 41924, 41926, 41926, 41926, 41926, 41927, 41927, 41927, 41927, 41928, 41928, 41928, 41928, 41929, 41931, 41931, 41931, 41932, 41932, 41933, 41933, 41934, 41935, 41935, 41936, 41936, 41937, 41938, 41939, 41940, 41942, 41943, 41944, 41945, 41946, 41946, 41946, 41948, 41949, 41949, 41950, 41950, 41950, 41951, 41954, 41955, 41956, 41957, 41958, 41958, 41960, 41960, 41963, 41964, 41964, 41964, 41964, 41967, 41969, 41973, 41973, 41974, 41976, 41977, 41979, 41979, 41979, 41979, 41979, 41980, 41982, 41983, 41984, 41985, 41986, 41986, 41986, 41987, 41990, 41990, 41991, 41992, 41992, 41994, 41994, 41995, 41997, 41997, 41998, 42001, 42001, 42002, 42002, 42002, 42002, 42003, 42004, 42008, 42009, 42009, 42009, 42010, 42011, 42013, 42015, 42016, 42018, 42019, 42020, 42020, 42021, 42022, 42022, 42022, 42022, 42023, 42024, 42024, 42024, 42025, 42027, 42029, 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42157, 42157, 42158, 42159, 42162, 42162, 42163, 42164, 42164, 42165, 42165, 42165, 42167, 42171, 42172, 42173, 42174, 42174, 42176, 42177, 42178, 42178, 42181, 42182, 42182, 42184, 42184, 42185, 42186, 42186, 42187, 42188, 42188, 42188, 42188, 42188, 42189, 42189, 42189, 42189, 42191, 42191, 42192, 42192, 42194, 42194, 42195, 42195, 42196, 42198, 42201, 42202, 42203, 42203, 42203, 42204, 42204, 42204, 42204, 42204, 42204, 42205, 42205, 42206, 42207, 42208, 42208, 42209, 42209, 42210, 42213, 42214, 42214, 42215, 42215, 42216, 42216, 42216, 42218, 42218, 42219, 42219, 42220, 42220, 42221, 42222, 42222, 42223, 42225, 42225, 42227, 42228, 42228, 42229, 42229, 42230, 42230, 42231, 42232, 42232, 42232, 42233, 42234, 42234, 42236, 42237, 42238, 42238, 42239, 42240, 42241, 42241, 42241, 42241, 42242, 42243, 42243, 42244, 42245, 42247, 42247, 42248, 42249, 42249, 42249, 42250, 42250, 42250, 42251, 42251, 42256, 42256, 42256, 42258, 42258, 42259, 42259, 42260, 42261, 42265, 42266, 42267, 42267, 42268, 42269, 42270, 42271, 42272, 42272, 42273, 42273, 42273, 42274, 42274, 42275, 42276, 42277, 42277, 42281, 42281, 42281, 42281, 42282, 42283, 42283, 42283, 42284, 42285, 42287, 42289, 42293, 42294, 42296, 42298, 42298, 42299, 42299, 42299, 42301, 42302, 42304, 42305, 42306, 42307, 42307, 42309, 42309, 42310, 42310, 42312, 42313, 42313, 42316, 42317, 42318, 42319, 42320, 42320, 42320, 42321, 42321, 42321, 42322, 42322, 42323, 42323, 42323, 42324, 42324, 42327, 42327, 42329, 42329, 42330, 42332, 42332, 42333, 42334, 42334, 42334, 42335, 42335, 42336, 42336, 42337, 42337, 42338, 42339, 42343, 42344, 42344, 42345, 42345, 42346, 42347, 42347, 42349, 42353, 42353, 42354, 42355, 42355, 42356, 42357, 42358, 42361, 42361, 42363, 42363, 42365, 42365, 42366, 42368, 42369, 42370, 42371, 42371, 42372, 42372, 42373, 42373, 42374, 42374, 42376, 42377, 42377, 42378, 42378, 42379, 42379, 42382, 42382, 42383, 42383, 42383, 42384, 42384, 42384, 42385, 42385, 42385, 42386, 42386, 42386, 42387, 42387, 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42668, 42669, 42671, 42671, 42673, 42673, 42674, 42674, 42675, 42678, 42679, 42679, 42679, 42681, 42681, 42682, 42682, 42684, 42684, 42685, 42685, 42685, 42685, 42686, 42688, 42689, 42689, 42690, 42691, 42692, 42693, 42693, 42693, 42695, 42695, 42696, 42696, 42697, 42698, 42701, 42701, 42701, 42701, 42701, 42702, 42703, 42704, 42707, 42707, 42709, 42709, 42709, 42710, 42710, 42710, 42711, 42712, 42716, 42716, 42720, 42720, 42723, 42723, 42725, 42725, 42727, 42727, 42727, 42728, 42729, 42730, 42730, 42731, 42732, 42732, 42732, 42733, 42734, 42735, 42737, 42738, 42738, 42739, 42740, 42741, 42741, 42742, 42743, 42744, 42745, 42745, 42746, 42746, 42747, 42747, 42750, 42750, 42751, 42752, 42752, 42752, 42752, 42753, 42753, 42755, 42757, 42758, 42760, 42761, 42762, 42763, 42766, 42766, 42767, 42770, 42772, 42773, 42774, 42777, 42777, 42779, 42780, 42780, 42780, 42783, 42783, 42783, 42785, 42786, 42786, 42787, 42787, 42788, 42790, 42790, 42790, 42792, 42792, 42792, 42793, 42793, 42795, 42795, 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41895, 41895, 41895, 41896, 41896, 41896, 41897, 41897, 41898, 41898, 41901, 41901, 41901, 41903, 41904, 41905, 41905, 41905, 41905, 41906, 41906, 41908, 41908, 41909, 41910, 41912, 41912, 41912, 41913, 41913, 41914, 41915, 41916, 41917, 41918, 41920, 41920, 41921, 41924, 41924, 41924, 41926, 41926, 41926, 41926, 41927, 41927, 41927, 41927, 41928, 41928, 41928, 41928, 41929, 41931, 41931, 41931, 41932, 41932, 41933, 41933, 41934, 41935, 41935, 41936, 41936, 41937, 41938, 41939, 41940, 41942, 41943, 41944, 41945, 41946, 41946, 41946, 41948, 41949, 41949, 41950, 41950, 41950, 41951, 41954, 41955, 41956, 41957, 41958, 41958, 41960, 41960, 41963, 41964, 41964, 41964, 41964, 41967, 41969, 41973, 41973, 41974, 41976, 41977, 41979, 41979, 41979, 41979, 41979, 41980, 41982, 41983, 41984, 41985, 41986, 41986, 41986, 41987, 41990, 41990, 41991, 41992, 41992, 41994, 41994, 41995, 41997, 41997, 41998, 42001, 42001, 42002, 42002, 42002, 42002, 42003, 42004, 42008, 42009, 42009, 42009, 42010, 42011, 42013, 42015, 42016, 42018, 42019, 42020, 42020, 42021, 42022, 42022, 42022, 42022, 42023, 42024, 42024, 42024, 42025, 42027, 42029, 42029, 42030, 42032, 42032, 42032, 42033, 42035, 42035, 42036, 42038, 42042, 42042, 42043, 42043, 42044, 42048, 42050, 42050, 42051, 42051, 42053, 42055, 42055, 42056, 42057, 42058, 42059, 42060, 42060, 42060, 42061, 42062, 42062, 42063, 42064, 42064, 42065, 42066, 42068, 42069, 42070, 42070, 42071, 42072, 42072, 42073, 42073, 42073, 42074, 42076, 42076, 42077, 42077, 42077, 42077, 42077, 42078, 42081, 42081, 42082, 42082, 42083, 42084, 42084, 42084, 42086, 42086, 42086, 42088, 42088, 42090, 42092, 42096, 42096, 42097, 42098, 42098, 42101, 42102, 42102, 42102, 42104, 42106, 42106, 42107, 42108, 42109, 42111, 42111, 42111, 42112, 42112, 42112, 42113, 42114, 42115, 42116, 42118, 42118, 42119, 42119, 42119, 42120, 42121, 42121, 42121, 42122, 42122, 42124, 42125, 42125, 42125, 42125, 42127, 42127, 42128, 42130, 42131, 42132, 42133, 42134, 42136, 42136, 42137, 42137, 42138, 42138, 42140, 42141, 42142, 42143, 42143, 42144, 42147, 42149, 42150, 42150, 42151, 42152, 42153, 42155, 42155, 42155, 42157, 42157, 42158, 42159, 42162, 42162, 42163, 42164, 42164, 42165, 42165, 42165, 42167, 42171, 42172, 42173, 42174, 42174, 42176, 42177, 42178, 42178, 42181, 42182, 42182, 42184, 42184, 42185, 42186, 42186, 42187, 42188, 42188, 42188, 42188, 42188, 42189, 42189, 42189, 42189, 42191, 42191, 42192, 42192, 42194, 42194, 42195, 42195, 42196, 42198, 42201, 42202, 42203, 42203, 42203, 42204, 42204, 42204, 42204, 42204, 42204, 42205, 42205, 42206, 42207, 42208, 42208, 42209, 42209, 42210, 42213, 42214, 42214, 42215, 42215, 42216, 42216, 42216, 42218, 42218, 42219, 42219, 42220, 42220, 42221, 42222, 42222, 42223, 42225, 42225, 42227, 42228, 42228, 42229, 42229, 42230, 42230, 42231, 42232, 42232, 42232, 42233, 42234, 42234, 42236, 42237, 42238, 42238, 42239, 42240, 42241, 42241, 42241, 42241, 42242, 42243, 42243, 42244, 42245, 42247, 42247, 42248, 42249, 42249, 42249, 42250, 42250, 42250, 42251, 42251, 42256, 42256, 42256, 42258, 42258, 42259, 42259, 42260, 42261, 42265, 42266, 42267, 42267, 42268, 42269, 42270, 42271, 42272, 42272, 42273, 42273, 42273, 42274, 42274, 42275, 42276, 42277, 42277, 42281, 42281, 42281, 42281, 42282, 42283, 42283, 42283, 42284, 42285, 42287, 42289, 42293, 42294, 42296, 42298, 42298, 42299, 42299, 42299, 42301, 42302, 42304, 42305, 42306, 42307, 42307, 42309, 42309, 42310, 42310, 42312, 42313, 42313, 42316, 42317, 42318, 42319, 42320, 42320, 42320, 42321, 42321, 42321, 42322, 42322, 42323, 42323, 42323, 42324, 42324, 42327, 42327, 42329, 42329, 42330, 42332, 42332, 42333, 42334, 42334, 42334, 42335, 42335, 42336, 42336, 42337, 42337, 42338, 42339, 42343, 42344, 42344, 42345, 42345, 42346, 42347, 42347, 42349, 42353, 42353, 42354, 42355, 42355, 42356, 42357, 42358, 42361, 42361, 42363, 42363, 42365, 42365, 42366, 42368, 42369, 42370, 42371, 42371, 42372, 42372, 42373, 42373, 42374, 42374, 42376, 42377, 42377, 42378, 42378, 42379, 42379, 42382, 42382, 42383, 42383, 42383, 42384, 42384, 42384, 42385, 42385, 42385, 42386, 42386, 42386, 42387, 42387, 42388, 42389, 42389, 42390, 42391, 42392, 42393, 42393, 42394, 42395, 42397, 42398, 42400, 42403, 42404, 42405, 42407, 42409, 42410, 42410, 42413, 42413, 42415, 42416, 42416, 42417, 42418, 42418, 42419, 42419, 42420, 42422, 42422, 42422, 42423, 42424, 42424, 42424, 42424, 42426, 42426, 42427, 42428, 42429, 42430, 42430, 42431, 42435, 42435, 42438, 42439, 42439, 42440, 42440, 42441, 42444, 42444, 42449, 42449, 42450, 42450, 42450, 42450, 42451, 42452, 42454, 42454, 42455, 42456, 42456, 42458, 42459, 42459, 42460, 42461, 42462, 42464, 42466, 42467, 42467, 42470, 42471, 42472, 42472, 42472, 42472, 42473, 42475, 42476, 42477, 42477, 42478, 42480, 42480, 42481, 42482, 42483, 42484, 42485, 42485, 42486, 42489, 42490, 42492, 42493, 42494, 42494, 42497, 42497, 42498, 42498, 42499, 42499, 42500, 42500, 42501, 42501, 42503, 42503, 42503, 42504, 42506, 42506, 42509, 42509, 42509, 42509, 42511, 42513, 42513, 42515, 42517, 42518, 42518, 42519, 42519, 42520, 42521, 42522, 42525, 42526, 42526, 42526, 42527, 42528, 42529, 42529, 42532, 42532, 42533, 42533, 42533, 42534, 42534, 42536, 42536, 42537, 42537, 42537, 42538, 42542, 42542, 42542, 42543, 42544, 42546, 42546, 42546, 42550, 42551, 42554, 42555, 42557, 42557, 42558, 42559, 42561, 42561, 42562, 42562, 42562, 42565, 42567, 42568, 42569, 42569, 42570, 42571, 42571, 42572, 42572, 42572, 42572, 42573, 42573, 42573, 42574, 42578, 42578, 42583, 42585, 42587, 42588, 42588, 42589, 42589, 42590, 42591, 42592, 42593, 42593, 42593, 42593, 42596, 42596, 42598, 42598, 42604, 42604, 42606, 42608, 42608, 42609, 42610, 42611, 42611, 42612, 42613, 42613, 42613, 42614, 42615, 42616, 42616, 42617, 42617, 42618, 42618, 42618, 42625, 42625, 42626, 42627, 42629, 42630, 42631, 42631, 42631, 42631, 42632, 42634, 42634, 42635, 42635, 42635, 42637, 42637, 42638, 42639, 42639, 42639, 42639, 42639, 42640, 42641, 42641, 42641, 42644, 42645, 42646, 42650, 42650, 42652, 42652, 42652, 42654, 42660, 42660, 42660, 42661, 42661, 42665, 42665, 42665, 42667, 42667, 42668, 42669, 42671, 42671, 42673, 42673, 42674, 42674, 42675, 42678, 42679, 42679, 42679, 42681, 42681, 42682, 42682, 42684, 42684, 42685, 42685, 42685, 42685, 42686, 42688, 42689, 42689, 42690, 42691, 42692, 42693, 42693, 42693, 42695, 42695, 42696, 42696, 42697, 42698, 42701, 42701, 42701, 42701, 42701, 42702, 42703, 42704, 42707, 42707, 42709, 42709, 42709, 42710, 42710, 42710, 42711, 42712, 42716, 42716, 42720, 42720, 42723, 42723, 42725, 42725, 42727, 42727, 42727, 42728, 42729, 42730, 42730, 42731, 42732, 42732, 42732, 42733, 42734, 42735, 42737, 42738, 42738, 42739, 42740, 42741, 42741, 42742, 42743, 42744, 42745, 42745, 42746, 42746, 42747, 42747, 42750, 42750, 42751, 42752, 42752, 42752, 42752, 42753, 42753, 42755, 42757, 42758, 42760, 42761, 42762, 42763, 42766, 42766, 42767, 42770, 42772, 42773, 42774, 42777, 42777, 42779, 42780, 42780, 42780, 42783, 42783, 42783, 42785, 42786, 42786, 42787, 42787, 42788, 42790, 42790, 42790, 42792, 42792, 42792, 42793, 42793, 42795, 42795, 42798, 42798, 42798, 42798, 42799, 42799, 42800, 42801, 42802, 42804, 42805, 42806, 42808, 42809, 42811, 42812, 42812, 42812, 42813, 42813, 42814, 42819, 42823, 42825, 42830, 42831, 42832, 42833, 42835, 42835, 42835, 42837, 42839, 42839, 42840, 42841, 42841, 42841, 42841, 42842, 42846, 42846, 42847, 42847, 42848, 42848, 42850, 42851, 42851, 42853, 42854, 42856, 42857, 42860, 42860, 42860, 42862, 42862, 42863, 42863, 42864, 42865, 42865, 42867, 42867, 42868, 42868, 42868, 42869, 42869, 42869, 42872, 42873, 42874, 42874, 42875, 42876, 42876, 42878, 42879, 42880, 42881, 42883, 42884, 42885, 42885, 42886, 42887, 42888, 42889, 42891, 42891, 42895, 42899, 42901, 42902, 42902, 42903, 42904, 42905, 42905, 42906, 42906, 42907, 42908, 42908, 42909, 42910, 42910, 42911, 42912, 42914, 42916, 42916, 42916, 42917, 42919, 42919, 42919, 42920, 42920, 42921, 42925, 42927, 42928, 42928, 42929, 42929, 42931, 42933, 42933, 42935, 42937, 42937, 42941, 42942, 42942, 42943, 42943, 42943, 42945, 42945, 42945] 42945)) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimumAddedCoins [1, 3, 3, 5, 7, 7, 8, 10, 13, 13, 15, 20, 21, 21, 22, 24, 25, 27, 27, 29, 30, 31, 33, 36, 41, 42, 43, 47, 48, 48, 50, 50, 53, 54, 55, 57, 57, 60, 60, 60, 61, 62, 63, 64, 64, 67, 67, 68, 69, 69, 70, 70, 71, 75, 79, 79, 79, 80, 82, 82, 83, 85, 86, 88, 88, 88, 91, 92, 94, 94, 94, 96, 97, 99, 102, 103, 105, 105, 107, 108, 108, 110, 110, 113, 113, 113, 113, 116, 119, 124, 129, 130, 133, 134, 134, 135, 137, 138, 139, 142, 144, 150, 150, 152, 153, 155, 155, 156, 157, 158, 159, 159, 159, 160, 160, 162, 163, 164, 164, 165, 166, 167, 169, 177, 177, 178, 179, 181, 182, 183, 190, 190, 194, 195, 197, 197, 198, 199, 200, 200, 200, 201, 202, 204, 204, 205, 206, 206, 206, 207, 208, 213, 215, 215, 215, 220, 221, 221, 226, 227, 227, 228, 232, 233, 238, 240, 241, 242, 243, 246, 248, 249, 249, 251, 251, 253, 256, 257, 257, 257, 258, 258, 258, 260, 261, 263, 264, 268, 269, 270, 270, 272, 272, 272, 275, 279, 280, 283, 284, 284, 284, 284, 285, 287, 287, 290, 293, 296, 296, 296, 297, 300, 301, 301, 301, 302, 303, 305, 306, 311, 314, 322, 327, 327, 328, 328, 328, 329, 330, 335, 336, 340, 341, 341, 344, 345, 350, 350, 350, 350, 352, 352, 353, 354, 356, 357, 357, 359, 360, 360, 362, 363, 364, 366, 367, 368, 368, 370, 370, 371, 371, 373, 375, 377, 380, 383, 384, 385, 385, 385, 386, 386, 387, 391, 393, 394, 395, 395, 396, 397, 397, 399, 399, 401, 404, 405, 407, 409, 409, 409, 413, 415, 416, 418, 419, 420, 421, 421, 422, 430, 435, 435, 440, 441, 441, 442, 443, 443, 444, 444, 444, 448, 450, 452, 453, 453, 455, 455, 457, 460, 463, 464, 464, 466, 467, 475, 476, 477, 481, 481, 482, 482, 482, 482, 484, 484, 484, 485, 488, 489, 489, 494, 494, 495, 496, 499, 499, 500, 503, 503, 504, 509, 509, 510, 511, 511, 512, 513, 514, 514, 515, 515, 516, 518, 521, 523, 524, 525, 526, 527, 527, 527, 527, 528, 529, 529, 529, 530, 531, 531, 536, 537, 538, 538, 538, 538, 539, 540, 541, 541, 543, 550, 551, 551, 552, 552, 552, 553, 556, 557, 557, 560, 561, 561, 562, 564, 564, 565, 566, 568, 569, 569, 570, 575, 575, 578, 580, 581, 584, 586, 589, 589, 590, 595, 595, 595, 597, 597, 597, 598, 600, 601, 602, 604, 609, 611, 612, 612, 613, 613, 613, 615, 616, 616, 620, 621, 622, 623, 624, 624, 625, 625, 627, 627, 629, 632, 634, 634, 635, 635, 638, 642, 642, 643, 643, 647, 648, 648, 648, 649, 650, 650, 651, 652, 653, 654, 657, 658, 658, 660, 660, 664, 665, 666, 666, 666, 667, 669, 670, 671, 672, 672, 675, 679, 680, 682, 683, 685, 687, 688, 690, 692, 692, 693, 694, 694, 696, 698, 698, 699, 703, 704, 704, 705, 706, 707, 707, 707, 708, 710, 710, 710, 712, 712, 715, 717, 717, 721, 723, 724, 727, 727, 728, 729, 731, 737, 739, 742, 743, 743, 743, 744, 744, 745, 748, 751, 752, 754, 756, 757, 758, 759, 760, 762, 762, 763, 765, 766, 767, 772, 773, 774, 779, 779, 780, 781, 783, 783, 788, 789, 789, 794, 794, 794, 797, 801, 801, 802, 803, 806, 806, 807, 807, 808, 811, 812, 815, 816, 820, 820, 821, 824, 827, 827, 828, 831, 836, 836, 837, 839, 839, 840, 842, 843, 843, 843, 850, 851, 851, 852, 852, 854, 854, 854, 854, 855, 856, 857, 858, 860, 860, 863, 866, 867, 868, 869, 872, 873, 873, 876, 876, 877, 878, 882, 884, 885, 886, 891, 891, 891, 893, 895, 895, 895, 897, 899, 900, 903, 905, 905, 907, 908, 910, 910, 911, 912, 915, 916, 917, 920, 921, 922, 923, 923, 923, 925, 926, 927, 929, 931, 932, 932, 932, 932, 933, 933, 937, 941, 942, 944, 945, 945, 945, 948, 948, 952, 952, 952, 954, 956, 958, 960, 960, 962, 963, 966, 968, 968, 972, 973, 975, 975, 986, 986, 986, 987, 988, 989, 993, 993, 997, 997, 998, 999, 1000, 1001, 1001, 1005, 1005, 1005, 1006, 1007, 1009, 1009, 1010, 1011, 1013, 1014, 1015, 1017, 1018, 1019, 1021, 1021, 1021, 1022, 1023, 1023, 1024, 1024, 1026, 1027, 1028, 1028, 1029, 1031, 1036, 1041, 1042, 1043, 1044, 1046, 1047, 1049, 1051, 1052, 1053, 1055, 1055, 1055, 1055, 1057, 1059, 1059, 1061, 1062, 1063, 1063, 1065, 1066, 1068, 1069, 1069, 1070, 1071, 1073, 1074, 1081, 1085, 1088, 1091, 1092, 1092, 1098, 1105, 1105, 1107, 1107, 1107, 1110, 1111, 1112, 1112, 1114, 1115, 1116, 1117, 1117, 1119, 1121, 1122, 1122, 1125, 1126, 1126, 1126, 1127, 1130, 1130, 1133, 1134, 1136, 1143, 1145, 1147, 1149, 1151, 1152, 1154, 1155, 1156, 1156, 1157, 1158, 1158, 1159, 1160, 1161, 1165, 1165, 1166, 1169, 1169, 1169, 1169, 1170, 1170, 1171, 1173, 1174, 1175, 1175, 1176, 1176, 1177, 1178, 1179, 1180, 1181, 1181, 1183, 1186, 1186, 1186, 1187, 1187, 1188, 1189, 1190, 1192, 1193, 1194, 1196, 1196, 1197, 1198, 1199, 1201, 1206, 1207, 1207, 1208, 1210, 1210, 1211, 1213, 1214, 1214, 1217, 1219, 1222, 1223, 1223, 1224, 1225, 1227, 1227, 1229, 1229, 1233, 1233, 1237, 1237, 1237, 1238, 1238, 1239, 1241, 1243, 1244, 1247, 1248, 1249, 1253, 1256, 1257, 1258, 1258, 1259, 1259, 1261, 1263, 1274, 1275, 1276, 1276, 1278, 1278, 1282, 1283, 1283, 1285, 1286, 1288, 1289, 1292, 1292, 1293, 1293, 1294, 1296, 1298, 1298, 1302, 1303, 1306, 1306, 1307, 1307, 1308, 1308, 1308, 1310, 1311, 1314, 1314, 1317, 1318, 1318, 1318, 1320, 1323, 1323, 1324, 1327, 1328, 1330, 1330, 1333, 1333, 1336, 1336, 1338, 1338, 1339, 1342, 1344, 1346, 1347, 1350, 1356, 1356, 1361, 1361, 1363, 1363, 1366, 1369, 1369, 1371, 1371, 1372, 1373, 1375, 1377, 1379, 1380, 1382, 1384, 1385, 1385, 1385, 1385, 1386, 1387, 1390, 1392, 1392, 1397, 1397, 1397, 1397, 1398, 1399, 1401, 1401, 1404, 1404, 1406, 1407, 1408, 1408, 1410, 1411, 1412, 1412, 1415, 1416, 1416, 1416, 1417, 1417, 1418, 1419, 1421, 1421, 1422, 1423, 1423, 1426, 1427, 1428, 1429, 1430, 1430, 1431, 1433, 1433, 1435, 1436, 1436, 1439, 1441, 1442, 1444, 1444, 1444, 1445, 1447, 1448, 1448, 1450, 1450, 1457, 1461, 1462, 1464, 1465, 1466, 1466, 1466, 1469, 1475, 1476, 1477, 1479, 1480, 1483, 1486, 1486, 1490, 1492, 1494, 1495, 1495, 1495, 1497, 1498, 1501, 1501, 1502, 1503, 1503, 1504, 1505, 1506, 1508, 1509, 1511, 1513, 1513, 1514, 1514, 1514, 1517, 1518, 1520, 1523, 1525, 1529, 1530, 1531, 1532, 1532, 1534, 1536, 1536, 1536, 1542, 1542, 1543, 1543, 1544, 1547, 1548, 1555, 1556, 1557, 1558, 1558, 1560, 1563, 1565, 1566, 1567, 1568, 1569, 1569, 1570, 1571, 1574, 1575, 1578, 1581, 1583, 1584, 1586, 1586, 1588, 1588, 1588, 1589, 1590, 1593, 1595, 1596, 1596, 1597, 1598, 1598, 1600, 1606, 1606, 1606, 1606, 1607, 1608, 1608, 1615, 1618, 1619, 1620, 1620, 1625, 1625, 1627, 1633, 1633, 1640, 1640, 1641, 1642, 1642, 1646, 1647, 1648, 1648, 1649, 1650, 1650, 1651, 1656, 1657, 1658, 1658, 1658, 1660, 1664, 1668, 1669, 1669, 1669, 1669, 1669, 1673, 1674, 1676, 1679, 1679, 1680, 1684, 1685, 1685, 1686, 1686, 1687, 1687, 1687, 1690, 1692, 1693, 1696, 1696, 1696, 1697, 1699, 1699, 1700, 1700, 1702, 1707, 1707, 1709, 1710, 1711, 1712, 1714, 1714, 1715, 1717, 1718, 1720, 1720, 1720, 1721, 1722, 1722, 1724, 1724, 1725, 1726, 1728, 1728, 1729, 1729, 1730, 1731, 1732, 1735, 1735, 1737, 1737, 1738, 1740, 1741, 1741, 1742, 1743, 1744, 1745, 1745, 1750, 1751, 1754, 1754, 1756, 1759, 1759, 1760, 1760, 1761, 1765, 1765, 1766, 1768, 1769, 1771, 1772, 1772, 1773, 1773, 1773, 1774, 1775, 1775, 1777, 1778, 1780, 1780, 1781, 1782, 1783, 1786, 1788, 1789, 1789, 1789, 1793, 1793, 1794, 1794, 1798, 1800, 1802, 1803, 1803, 1804, 1805, 1805, 1805, 1809, 1813, 1813, 1816, 1816, 1820, 1821, 1821, 1822, 1822, 1823, 1823, 1825, 1828, 1834, 1834, 1837, 1839, 1840, 1844, 1844, 1848, 1848, 1849, 1849, 1851, 1852, 1853, 1856, 1857, 1857, 1857, 1858, 1859, 1861, 1861, 1861, 1862, 1864, 1866, 1867, 1869, 1871, 1876, 1877, 1879, 1879, 1883, 1883, 1884, 1884, 1886, 1887, 1888, 1888, 1888, 1890, 1892, 1892, 1894, 1894, 1895, 1895, 1898, 1901, 1902, 1904, 1905, 1905, 1907, 1909, 1909, 1911, 1915, 1915, 1917, 1917, 1918, 1919, 1919, 1920, 1920, 1921, 1922, 1922, 1922, 1923, 1928, 1930, 1930, 1931, 1931, 1932, 1932, 1934, 1934, 1941, 1941, 1944, 1948, 1951, 1953, 1953, 1953, 1953, 1954, 1954, 1954, 1955, 1956, 1960, 1960, 1962, 1963, 1965, 1965, 1968, 1968, 1969, 1970, 1972, 1974, 1974, 1976, 1979, 1980, 1986, 1986, 1987, 1987, 1989, 1990, 1992, 1994, 1995, 1996, 1996, 1996, 1996, 1999, 1999, 2000, 2003, 2004, 2005, 2008, 2009, 2011, 2012, 2013, 2013, 2015, 2019, 2022, 2022, 2023, 2023, 2027, 2030, 2032, 2033, 2033, 2033, 2034, 2034, 2035, 2037, 2039, 2039, 2041, 2041, 2042, 2044, 2046, 2046, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2057, 2058, 2067, 2067, 2068, 2070, 2070, 2072, 2073, 2073, 2074, 2074, 2076, 2076, 2078, 2079, 2082, 2083, 2083, 2084, 2093, 2094, 2094, 2096, 2100, 2101, 2102, 2103, 2104, 2106, 2108, 2110, 2111, 2112, 2112, 2112, 2114, 2115, 2117, 2117, 2117, 2118, 2119, 2122, 2123, 2124, 2125, 2125, 2126, 2128, 2129, 2129, 2130, 2130, 2130, 2133, 2133, 2134, 2134, 2135, 2137, 2139, 2141, 2142, 2142, 2145, 2148, 2151, 2153, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2163, 2164, 2168, 2171, 2172, 2172, 2175, 2176, 2181, 2181, 2181, 2181, 2184, 2185, 2185, 2188, 2188, 2188, 2189, 2190, 2191, 2195, 2196, 2197, 2199, 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41254, 41255, 41256, 41259, 41259, 41260, 41262, 41263, 41268, 41269, 41270, 41271, 41271, 41272, 41273, 41274, 41276, 41276, 41278, 41278, 41278, 41280, 41280, 41281, 41281, 41285, 41285, 41286, 41289, 41290, 41293, 41294, 41303, 41304, 41305, 41305, 41306, 41307, 41308, 41308, 41309, 41309, 41310, 41312, 41313, 41316, 41317, 41317, 41323, 41323, 41324, 41327, 41330, 41331, 41332, 41332, 41335, 41336, 41336, 41337, 41340, 41341, 41341, 41342, 41343, 41343, 41346, 41346, 41349, 41349, 41349, 41350, 41350, 41352, 41352, 41352, 41356, 41357, 41358, 41358, 41359, 41360, 41364, 41367, 41367, 41368, 41369, 41369, 41373, 41374, 41376, 41378, 41378, 41378, 41379, 41380, 41380, 41381, 41383, 41385, 41385, 41385, 41385, 41386, 41387, 41387, 41389, 41389, 41392, 41393, 41394, 41394, 41394, 41395, 41396, 41396, 41397, 41397, 41398, 41399, 41401, 41401, 41402, 41406, 41406, 41407, 41408, 41409, 41410, 41410, 41412, 41413, 41416, 41420, 41422, 41422, 41425, 41427, 41427, 41427, 41427, 41429, 41430, 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41810, 41811, 41812, 41812, 41813, 41814, 41816, 41817, 41818, 41819, 41820, 41822, 41823, 41823, 41825, 41826, 41828, 41828, 41829, 41829, 41830, 41830, 41836, 41838, 41839, 41839, 41840, 41840, 41840, 41840, 41840, 41842, 41845, 41847, 41847, 41848, 41848, 41849, 41849, 41851, 41853, 41853, 41855, 41856, 41861, 41862, 41863, 41864, 41865, 41865, 41866, 41866, 41868, 41868, 41869, 41869, 41869, 41871, 41872, 41872, 41874, 41876, 41876, 41876, 41878, 41880, 41880, 41881, 41885, 41891, 41891, 41892, 41893, 41894, 41894, 41895, 41898, 41899, 41899, 41901, 41902, 41904, 41906, 41908, 41910, 41910, 41911, 41911, 41912, 41914, 41914, 41917, 41920, 41922, 41922, 41924, 41925, 41925, 41926, 41927, 41927, 41927, 41930, 41930, 41932, 41933, 41934, 41934, 41936, 41936, 41936, 41937, 41938, 41938, 41938, 41940, 41941, 41943, 41944, 41944, 41945, 41945, 41950, 41951, 41951, 41953, 41953, 41953, 41959, 41960, 41961, 41961, 41961, 41961, 41962, 41962, 41963, 41963, 41963, 41964, 41964, 41965, 41965, 41966, 41968, 41969, 41969, 41969, 41970, 41972, 41972, 41973, 41975, 41976, 41977, 41978, 41980, 41981, 41982, 41983, 41985, 41986, 41987, 41987, 41988, 41988, 41988, 41989, 41989, 41992, 41994, 41995, 41996, 41996, 41998, 41998, 41998, 41999, 42000, 42000, 42002, 42002, 42006, 42006, 42006, 42009, 42009, 42009, 42011, 42011, 42013, 42014, 42014, 42015, 42016, 42016, 42018, 42020, 42021, 42022, 42023, 42024, 42024, 42025, 42028, 42028, 42029, 42030, 42030, 42033, 42034, 42034, 42036, 42040, 42041, 42041, 42042, 42042, 42043, 42043, 42043, 42045, 42047, 42047, 42048, 42049, 42051, 42051, 42051, 42053, 42054, 42054, 42055, 42055, 42055, 42057, 42059, 42064, 42066, 42067, 42068, 42078, 42080, 42082, 42082, 42084, 42086, 42089, 42090, 42091, 42092, 42092, 42093, 42094, 42095, 42095, 42097, 42099, 42099, 42101, 42103, 42105, 42108, 42109, 42109, 42109, 42111, 42111, 42112, 42113, 42113, 42114, 42114, 42115, 42116, 42117, 42118, 42119, 42120, 42121, 42121, 42122, 42122, 42123, 42123, 42123, 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42315, 42315, 42315, 42316, 42316, 42316, 42317, 42318, 42318, 42321, 42328, 42328, 42333, 42334, 42336, 42336, 42337, 42340, 42340, 42341, 42341, 42341, 42343, 42347, 42347, 42348, 42348, 42348, 42349, 42349, 42353, 42355, 42356, 42358, 42361, 42363, 42366, 42366, 42369, 42369, 42370, 42371, 42371, 42375, 42379, 42379, 42381, 42382, 42382, 42383, 42386, 42386, 42386, 42387, 42388, 42388, 42388, 42389, 42392, 42395, 42397, 42402, 42403, 42405, 42408, 42408, 42408, 42409, 42409, 42411, 42413, 42413, 42416, 42418, 42419, 42419, 42420, 42420, 42421, 42422, 42423, 42423, 42426, 42427, 42429, 42429, 42431, 42432, 42434, 42435, 42438, 42439, 42443, 42445, 42446, 42447, 42449, 42450, 42452, 42452, 42452, 42457, 42457, 42457, 42460, 42469, 42471, 42472, 42474, 42475, 42476, 42477, 42478, 42481, 42482, 42487, 42487, 42487, 42487, 42492, 42492, 42494, 42494, 42495, 42499, 42499, 42500, 42502, 42503, 42504, 42505, 42507, 42507, 42507, 42508, 42508, 42508, 42510, 42511, 42514, 42515, 42516, 42517, 42517, 42520, 42521, 42523, 42525, 42526, 42528, 42529, 42530, 42533, 42534, 42535, 42537, 42540, 42540, 42541, 42542, 42543, 42545, 42545, 42547, 42548, 42548, 42551, 42553, 42554, 42556, 42559, 42561, 42562, 42565, 42567, 42567, 42571, 42572, 42582, 42582, 42584, 42589, 42590, 42590, 42591, 42593, 42593, 42595, 42596, 42596, 42597, 42597, 42598, 42598, 42600, 42602, 42605, 42606, 42606, 42607, 42609, 42610, 42610, 42610, 42612, 42615, 42615, 42617, 42617, 42617, 42618, 42621, 42622, 42623, 42623, 42624, 42624, 42625, 42626, 42626, 42629, 42631, 42632, 42632, 42633, 42633, 42633, 42634, 42634, 42636, 42637, 42637, 42642, 42642, 42649, 42649, 42649, 42650, 42650, 42654, 42655, 42656, 42656, 42657, 42662, 42662, 42663, 42663, 42663, 42666, 42666, 42668, 42669, 42669, 42669, 42669, 42670, 42670, 42672, 42677, 42678, 42683, 42684, 42685, 42686, 42686, 42687, 42688, 42689, 42691, 42692, 42694, 42695, 42696, 42697, 42699, 42705, 42705, 42706, 42708, 42710, 42711, 42716, 42716, 42716, 42716, 42717, 42720, 42720, 42722, 42724, 42725, 42728, 42729, 42731, 42731, 42732, 42733, 42734, 42735, 42736, 42738, 42739, 42740, 42740, 42741, 42743, 42744, 42745, 42746, 42746, 42747, 42747, 42748, 42750, 42754, 42754, 42756, 42759, 42761, 42761, 42763, 42765, 42765, 42766, 42767, 42772, 42772, 42773, 42775, 42782, 42783, 42785, 42785, 42786, 42790, 42792, 42793, 42796, 42797, 42798, 42799, 42799, 42799, 42804, 42805, 42805, 42807, 42808, 42809, 42812, 42813, 42813, 42816, 42816, 42817, 42819, 42819, 42821, 42822, 42823, 42829, 42831, 42831, 42835, 42836, 42837, 42840, 42840, 42841, 42842, 42843, 42843, 42844, 42846, 42848, 42849, 42850, 42851, 42852, 42852, 42854, 42854, 42854, 42856, 42856, 42858, 42861, 42862, 42863, 42863, 42866, 42867, 42869, 42869, 42870, 42871, 42872, 42873, 42874, 42874, 42875, 42875, 42877, 42878, 42878, 42880, 42881, 42883, 42885, 42886, 42888, 42893, 42894, 42895, 42895, 42895, 42897, 42901, 42904, 42905, 42905, 42906, 42907, 42907, 42908, 42911, 42912, 42912, 42915, 42916, 42917, 42917, 42918, 42920, 42922, 42924, 42925, 42925, 42927, 42927, 42928, 42928, 42928, 42930, 42933, 42933, 42934, 42936, 42937, 42940, 42941, 42942, 42942, 42943, 42943, 42943, 42945, 42947, 42947, 42954, 42954, 42957, 42957, 42957, 42958, 42961, 42961, 42965, 42969, 42976, 42976, 42978, 42979, 42981, 42981, 42982, 42986, 42986, 42989, 42989, 42990, 42992, 42992, 42993, 42993, 42994, 42995, 42996, 43000, 43001, 43001, 43001, 43002, 43002, 43003, 43005, 43005, 43006, 43007, 43007, 43008, 43010, 43010, 43013, 43013, 43013, 43013, 43017, 43017, 43017, 43018, 43018, 43020, 43022, 43023, 43024, 43024, 43025, 43026, 43026, 43026, 43027, 43030, 43031, 43031, 43033, 43034, 43036, 43040, 43040, 43041, 43041, 43042, 43043, 43045, 43046, 43051, 43051, 43052, 43055, 43057, 43058, 43059, 43062, 43064, 43065, 43065, 43073, 43075, 43079, 43079, 43081, 43081, 43082, 43083, 43083, 43086, 43088, 43089, 43090, 43092, 43093, 43094, 43094, 43098, 43098, 43099, 43100, 43101, 43102, 43102, 43103, 43104, 43106, 43108, 43108, 43109, 43110, 43112, 43112, 43112, 43112, 43114, 43114, 43118, 43118, 43120, 43125, 43127, 43128, 43129, 43130, 43131, 43133, 43133, 43134, 43135, 43135, 43137, 43140, 43140, 43140, 43142, 43143, 43145, 43146, 43146, 43149, 43149, 43151, 43151, 43152, 43153, 43155, 43159, 43159, 43161, 43162, 43163, 43164, 43165, 43167, 43168, 43169, 43171, 43173, 43175, 43176, 43179, 43179, 43180, 43183, 43187, 43189, 43190, 43191, 43192, 43192, 43194, 43199, 43200, 43201, 43203, 43204, 43205, 43206, 43207, 43208, 43209, 43211, 43213, 43216, 43217, 43217, 43218, 43219, 43222, 43223, 43224, 43225, 43226, 43228, 43229, 43229, 43230, 43230, 43232, 43239, 43243, 43244, 43244, 43248, 43250, 43251, 43253, 43254, 43255, 43258, 43259, 43261, 43262, 43262, 43262, 43266, 43267, 43268, 43268, 43269, 43270, 43270, 43276, 43277, 43277, 43277, 43279, 43281, 43282, 43282, 43282, 43284, 43285, 43286, 43287, 43288, 43289, 43291, 43291, 43292, 43293, 43295, 43295, 43297, 43297, 43298, 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53299, 53304, 53305, 53306, 53307, 53308, 53308, 53309, 53314, 53315, 53315, 53316, 53319, 53319, 53320, 53320, 53325, 53330, 53336, 53336, 53336, 53336, 53341, 53347, 53348, 53349, 53349, 53352, 53353, 53354, 53357, 53357, 53357, 53358, 53360, 53360, 53361, 53361, 53366, 53366, 53369, 53371, 53372, 53373, 53376, 53376, 53380, 53380, 53380, 53382, 53382, 53382, 53384, 53385, 53387, 53390, 53391, 53391, 53391, 53393, 53393, 53393, 53400, 53400, 53401, 53401, 53402, 53403, 53407, 53407, 53408, 53412, 53413, 53413, 53414, 53415, 53415, 53419, 53422, 53422, 53424, 53426, 53427, 53427, 53429, 53432, 53434, 53436, 53436, 53437, 53439, 53443, 53445, 53448, 53449, 53449, 53452, 53452, 53452, 53453, 53456, 53456, 53456, 53457, 53457, 53458, 53460, 53464, 53465, 53465, 53467, 53469, 53470, 53473, 53473, 53475, 53476, 53477, 53479, 53480, 53482, 53482, 53486, 53487, 53487, 53488, 53490, 53491, 53492, 53494, 53495, 53496, 53498, 53500, 53503, 53504, 53504, 53505, 53506, 53512, 53513, 53515, 53516, 53516, 53517, 53517, 53519, 53520, 53520, 53520, 53521, 53523, 53526, 53526, 53528, 53529, 53530, 53531, 53531, 53532, 53533, 53535, 53536, 53536, 53537, 53537, 53537, 53538, 53540, 53541, 53542, 53544, 53545, 53546, 53548, 53549, 53550, 53551, 53552, 53556, 53557, 53557, 53558, 53562, 53562, 53565, 53567, 53569, 53570, 53570, 53572, 53572, 53573, 53573, 53577, 53578, 53578, 53580, 53582, 53582, 53583, 53585, 53586, 53587, 53589, 53590, 53593, 53595, 53595, 53598, 53598, 53599, 53599, 53604, 53605, 53605, 53605, 53609, 53609, 53609, 53609, 53609, 53610, 53610, 53612, 53614, 53617, 53618, 53619, 53620, 53621, 53625, 53625, 53629, 53634, 53634, 53639, 53643, 53644, 53645, 53646, 53646, 53647, 53653, 53653, 53654, 53654, 53655, 53656, 53657, 53657, 53658, 53658, 53659, 53659, 53661, 53663, 53665, 53665, 53667, 53668, 53671, 53673, 53676, 53676, 53676, 53678, 53679, 53679, 53681, 53683, 53684, 53684, 53686, 53689, 53691, 53692, 53695, 53698, 53699, 53701, 53702, 53703, 53704, 53707, 53708, 53710, 53710, 53711, 53714, 53714, 53716, 53716, 53716, 53722, 53723, 53723, 53723, 53725, 53725, 53725, 53726, 53729, 53729, 53731, 53732, 53732, 53733, 53736, 53736, 53738, 53739, 53739, 53739, 53740, 53745, 53746, 53746, 53748, 53748, 53749, 53751, 53752, 53753, 53754, 53755, 53756, 53757, 53757, 53759, 53759, 53761, 53761, 53764, 53765, 53768, 53769, 53769, 53770, 53772, 53775, 53777, 53777, 53779, 53779, 53780, 53781, 53783, 53785, 53786, 53789, 53792, 53793, 53793, 53794, 53798, 53799, 53799, 53800, 53802, 53802, 53804, 53804, 53806, 53806, 53807, 53809, 53810, 53811, 53814, 53814, 53815, 53815, 53815, 53815, 53816, 53817, 53820, 53822, 53823, 53823, 53825, 53828, 53828, 53831, 53832, 53833, 53833, 53836, 53836, 53837, 53839, 53840, 53840, 53842, 53843, 53845, 53851, 53856, 53857, 53858, 53865, 53865, 53868, 53872, 53872, 53874, 53874, 53877, 53879, 53881, 53881, 53882, 53883, 53883, 53886, 53888, 53890, 53891, 53894, 53896, 53900, 53901, 53903, 53906, 53906, 53908, 53909, 53912, 53913, 53913, 53914, 53917, 53917, 53917, 53918, 53919, 53921, 53921, 53922, 53923, 53929, 53929, 53930, 53931, 53931, 53934, 53937, 53939, 53939, 53944, 53944, 53947, 53952, 53952, 53957, 53959, 53962, 53963, 53964, 53966, 53968, 53970, 53971, 53973, 53974, 53974, 53974, 53975, 53975, 53976, 53977, 53977, 53978, 53980, 53984, 53987, 53990, 53991, 53992, 53992, 53994, 53994, 53995, 53999, 54000, 54001, 54001, 54003, 54003, 54004, 54005, 54007, 54008, 54009, 54010, 54013, 54014, 54014, 54014, 54015, 54015, 54015, 54016, 54016, 54016, 54018, 54018, 54020, 54020, 54022, 54024, 54026, 54028, 54029, 54030, 54032, 54032, 54036, 54036, 54039, 54042, 54046, 54050, 54050, 54051, 54053, 54054, 54057, 54057, 54057, 54058, 54058, 54060, 54060, 54060, 54061, 54061, 54064, 54064, 54065, 54066, 54070, 54071, 54071, 54072, 54073, 54074, 54076, 54076, 54078, 54079, 54079, 54080, 54080, 54081, 54081, 54082, 54082, 54083, 54083, 54083, 54083, 54084, 54084, 54085, 54088, 54092, 54093, 54095, 54095, 54097, 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54304, 54304, 54306, 54308, 54309, 54311, 54312, 54314, 54315, 54315, 54317, 54320, 54321, 54322, 54324, 54327, 54327, 54332, 54333, 54334, 54335, 54337, 54338, 54339, 54339, 54340, 54340, 54340, 54341, 54344, 54344, 54346, 54349, 54349, 54351, 54353, 54354, 54355, 54357, 54357, 54357, 54361, 54361, 54361, 54363, 54363, 54363, 54364, 54364, 54365, 54367, 54368, 54369, 54370, 54370, 54370, 54372, 54374, 54374, 54376, 54376, 54380, 54380, 54382, 54383, 54386, 54386, 54387, 54390, 54390, 54391, 54392, 54392, 54393, 54393, 54393, 54394, 54396, 54397, 54399, 54399, 54405, 54406, 54406, 54407, 54408, 54410, 54410, 54410, 54413, 54413, 54414, 54417, 54417, 54418, 54420, 54421, 54422, 54422, 54424, 54424, 54426, 54427, 54429, 54430, 54432, 54432, 54433, 54433, 54435, 54436, 54436, 54439, 54439, 54441, 54441, 54442, 54445, 54445, 54448, 54448, 54453, 54456, 54461, 54462, 54463, 54464, 54466, 54466, 54468, 54470, 54475, 54476, 54478, 54479, 54480, 54483, 54485, 54485, 54487, 54490, 54491, 54491, 54492, 54495, 54496, 54496, 54502, 54504, 54504, 54505, 54505, 54506, 54508, 54508, 54509, 54511, 54512, 54512, 54514, 54516, 54517, 54517, 54522, 54523, 54523, 54523, 54524, 54524, 54525, 54526, 54527, 54528, 54528, 54530, 54530, 54533, 54533, 54534, 54539, 54539, 54539, 54539, 54541, 54541, 54544, 54544, 54545, 54546, 54548, 54552, 54552, 54553, 54555, 54557, 54559, 54561, 54562, 54563, 54563, 54564, 54566, 54570, 54574, 54575, 54575, 54576, 54578, 54578, 54579, 54581, 54583, 54586, 54587, 54587, 54587, 54592, 54593, 54593, 54594, 54594, 54594, 54595, 54595, 54598, 54600, 54604, 54606, 54608, 54610, 54613, 54613, 54615, 54616, 54620, 54623, 54627, 54628, 54629, 54629, 54632, 54632, 54635, 54635, 54636, 54637, 54639, 54640, 54641, 54641, 54642, 54643, 54644, 54644, 54645, 54645, 54646, 54648, 54648, 54649, 54650, 54651, 54651, 54652, 54653, 54654, 54655, 54656, 54663, 54667, 54667, 54668, 54670, 54670, 54672, 54674, 54676, 54676, 54678, 54680, 54683, 54683, 54685, 54686, 54687, 54689, 54690, 54691, 54697, 54697, 54698, 54700, 54702, 54703, 54703, 54704, 54705, 54706, 54708, 54708, 54711, 54712, 54713, 54714, 54715, 54716, 54716, 54718, 54718, 54718, 54720, 54721, 54729, 54729, 54731, 54734, 54735, 54738, 54739, 54739, 54743, 54744, 54747, 54751, 54751, 54752, 54754, 54754, 54755, 54755, 54755, 54758, 54760, 54762, 54762, 54765, 54766, 54766, 54767, 54767, 54768, 54768, 54768, 54769, 54770, 54770, 54772, 54772, 54773, 54773, 54774, 54777, 54778, 54781, 54782, 54783, 54784, 54786, 54788, 54790, 54790, 54791, 54792, 54793, 54795, 54803, 54804, 54805, 54807, 54809, 54810, 54810, 54811, 54811, 54813, 54815, 54818, 54821, 54821, 54825, 54828, 54828, 54829, 54830, 54831, 54831, 54832, 54832, 54834, 54836, 54837, 54837, 54838, 54838, 54839, 54840, 54840, 54840, 54840, 54841, 54853, 54853, 54853, 54854, 54855, 54856, 54857, 54858, 54862, 54863, 54863, 54863, 54864, 54868, 54870, 54871, 54873, 54874, 54874, 54875, 54880, 54880, 54881, 54881, 54883, 54883, 54884, 54885, 54885, 54886, 54888, 54890, 54892, 54893, 54893, 54894, 54894, 54895, 54898, 54898, 54898, 54898, 54899, 54901, 54902, 54902, 54903, 54909, 54909, 54909, 54910, 54913, 54913, 54915, 54916, 54917, 54918, 54919, 54919, 54920, 54924, 54925, 54926, 54927, 54927, 54932, 54934, 54935, 54944, 54951, 54951, 54952, 54956, 54958, 54958, 54960, 54963, 54963, 54964, 54967, 54968, 54976, 54978, 54979, 54979, 54979, 54983, 54984, 54985, 54988, 54988, 54988, 54988, 54989, 54989, 54990, 54991, 54992, 54993, 54994, 54996, 54996, 54999, 55001, 55001, 55001, 55005, 55005, 55008, 55009, 55010, 55010, 55013, 55015, 55015, 55015, 55016, 55017, 55019, 55020, 55020, 55023, 55024, 55026, 55027, 55028, 55030, 55031, 55037, 55039, 55039, 55042, 55043, 55046, 55047, 55048, 55048, 55051, 55052, 55053, 55056, 55056, 55057, 55057, 55058, 55064, 55065, 55066, 55066, 55067, 55068, 55068, 55069, 55071, 55071, 55074, 55076, 55077, 55079, 55080, 55080, 55085, 55087, 55088, 55089, 55090, 55090, 55090, 55091, 55092, 55093, 55094, 55094, 55098, 55099, 55099, 55100, 55101, 55102, 55103, 55108, 55109, 55109, 55110, 55112, 55112, 55113, 55115, 55115, 55117, 55120, 55120, 55121, 55122, 55122, 55122, 55123, 55123, 55123, 55125, 55125, 55126, 55127, 55128, 55128, 55129, 55129, 55130, 55130, 55132, 55133, 55133, 55133, 55134, 55134, 55134, 55136, 55137, 55138, 55139, 55139, 55140, 55141, 55142, 55144, 55146, 55146, 55148, 55148, 55148, 55150, 55150, 55150, 55152, 55153, 55154, 55155, 55158, 55164, 55165, 55166, 55168, 55169, 55172, 55172, 55173, 55173, 55176, 55176, 55177, 55179, 55179, 55182, 55182, 55182, 55183, 55184, 55185, 55187, 55187, 55189, 55190, 55193, 55195, 55197, 55203, 55204, 55204, 55204, 55205, 55205, 55208, 55209, 55210, 55212, 55216, 55216, 55216, 55218, 55219, 55219, 55223, 55223, 55224, 55231, 55233, 55236, 55238, 55239, 55239, 55240, 55242, 55243, 55244, 55244, 55248, 55248, 55249, 55250, 55251, 55253, 55254, 55254, 55255, 55257, 55258, 55260, 55261, 55261, 55262, 55262, 55264, 55266, 55270, 55270, 55271, 55271, 55272, 55275, 55276, 55277, 55278, 55279, 55279, 55280, 55281, 55281, 55282, 55283, 55284, 55285, 55286, 55289, 55289, 55290, 55292, 55293, 55294, 55295, 55296, 55298, 55301, 55302, 55303, 55304, 55304, 55306, 55307, 55308, 55309, 55309, 55311, 55312, 55315, 55315, 55318, 55320, 55320, 55321, 55322, 55323, 55323, 55327, 55332, 55333, 55337, 55338, 55338, 55339, 55340, 55340, 55341, 55341, 55342, 55344, 55345, 55345, 55345, 55346, 55346, 55346, 55351, 55351, 55354, 55356, 55357, 55361, 55363, 55364, 55367, 55368, 55368, 55369, 55369, 55370, 55370, 55371, 55372, 55373, 55377, 55378, 55378, 55378, 55378, 55380, 55380, 55383, 55383, 55384, 55384, 55387, 55387, 55387, 55389, 55389, 55391, 55391, 55392, 55392, 55392, 55394, 55395, 55397, 55397, 55400, 55400, 55400, 55400, 55401, 55408, 55408, 55412, 55413, 55420, 55423, 55423, 55424, 55424, 55426, 55426, 55426, 55429, 55433, 55433, 55434, 55434, 55436, 55442, 55448, 55449, 55450, 55451, 55452, 55452, 55453, 55454, 55454, 55456, 55458, 55460, 55460, 55461, 55462, 55465, 55468, 55469, 55469, 55470, 55473, 55474, 55475, 55477, 55479, 55480, 55481, 55483, 55483, 55485, 55485, 55485, 55485, 55485, 55486, 55486, 55487, 55487, 55490, 55491, 55492, 55494, 55495, 55496, 55496, 55496, 55498, 55499, 55501, 55502, 55503, 55503, 55504, 55506, 55507, 55509, 55509, 55510, 55511, 55514, 55517, 55517, 55519, 55519, 55520, 55521, 55523, 55524, 55525, 55526, 55528, 55528, 55529, 55530, 55531, 55533, 55534, 55535, 55543, 55544, 55545, 55549, 55549, 55550, 55552, 55552, 55554, 55555, 55557, 55557, 55557, 55567, 55568, 55569, 55571, 55574, 55574, 55574, 55575, 55577, 55578, 55578, 55579, 55581, 55581, 55581, 55581, 55583, 55586, 55588, 55589, 55591, 55592, 55595, 55597, 55599, 55600, 55601, 55601, 55601, 55602, 55604, 55607, 55609, 55611, 55611, 55614, 55615, 55616, 55616, 55617, 55617, 55618, 55619, 55620, 55621, 55622, 55622, 55624, 55624, 55625, 55626, 55628, 55630, 55630, 55637] 55640)," 1 (minimumAddedCoins [1, 3, 3, 5, 7, 7, 8, 10, 13, 13, 15, 20, 21, 21, 22, 24, 25, 27, 27, 29, 30, 31, 33, 36, 41, 42, 43, 47, 48, 48, 50, 50, 53, 54, 55, 57, 57, 60, 60, 60, 61, 62, 63, 64, 64, 67, 67, 68, 69, 69, 70, 70, 71, 75, 79, 79, 79, 80, 82, 82, 83, 85, 86, 88, 88, 88, 91, 92, 94, 94, 94, 96, 97, 99, 102, 103, 105, 105, 107, 108, 108, 110, 110, 113, 113, 113, 113, 116, 119, 124, 129, 130, 133, 134, 134, 135, 137, 138, 139, 142, 144, 150, 150, 152, 153, 155, 155, 156, 157, 158, 159, 159, 159, 160, 160, 162, 163, 164, 164, 165, 166, 167, 169, 177, 177, 178, 179, 181, 182, 183, 190, 190, 194, 195, 197, 197, 198, 199, 200, 200, 200, 201, 202, 204, 204, 205, 206, 206, 206, 207, 208, 213, 215, 215, 215, 220, 221, 221, 226, 227, 227, 228, 232, 233, 238, 240, 241, 242, 243, 246, 248, 249, 249, 251, 251, 253, 256, 257, 257, 257, 258, 258, 258, 260, 261, 263, 264, 268, 269, 270, 270, 272, 272, 272, 275, 279, 280, 283, 284, 284, 284, 284, 285, 287, 287, 290, 293, 296, 296, 296, 297, 300, 301, 301, 301, 302, 303, 305, 306, 311, 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19666, 19667, 19668, 19674, 19677, 19677, 19679, 19680, 19682, 19683, 19686, 19688, 19693, 19695, 19697, 19697, 19697, 19697, 19698, 19699, 19699, 19701, 19701, 19701, 19705, 19705, 19708, 19708, 19711, 19711, 19712, 19714, 19717, 19720, 19720, 19721, 19722, 19722, 19723, 19724, 19724, 19724, 19725, 19726, 19727, 19728, 19733, 19736, 19738, 19740, 19740, 19743, 19744, 19745, 19746, 19746, 19746, 19748, 19749, 19749, 19750, 19751, 19751, 19751, 19751, 19751, 19751, 19752, 19754, 19754, 19757, 19757, 19758, 19760, 19761, 19766, 19767, 19768, 19768, 19772, 19772, 19772, 19773, 19773, 19775, 19777, 19778, 19779, 19780, 19782, 19783, 19784, 19785, 19786, 19789, 19791, 19792, 19792, 19796, 19797, 19798, 19798, 19799, 19802, 19802, 19804, 19805, 19806, 19808, 19808, 19810, 19811, 19813, 19813, 19814, 19814, 19819, 19822, 19829, 19830, 19836, 19836, 19837, 19837, 19837, 19839, 19840, 19840, 19842, 19843, 19846, 19847, 19847, 19849, 19850, 19851, 19852, 19853, 19854, 19856, 19856, 19858, 19858, 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20764, 20766, 20768, 20769, 20769, 20770, 20771, 20774, 20775, 20775, 20776, 20776, 20778, 20779, 20781, 20781, 20781, 20781, 20782, 20782, 20783, 20786, 20787, 20787, 20788, 20790, 20791, 20791, 20793, 20793, 20793, 20793, 20794, 20796, 20796, 20797, 20799, 20799, 20801, 20801, 20801, 20803, 20804, 20806, 20806, 20808, 20809, 20811, 20815, 20815, 20818, 20820, 20820, 20821, 20823, 20826, 20827, 20828, 20828, 20829, 20829, 20830, 20833, 20833, 20837, 20838, 20840, 20840, 20840, 20841, 20845, 20847, 20853, 20854, 20856, 20856, 20857, 20857, 20859, 20863, 20864, 20867, 20867, 20869, 20870, 20870, 20870, 20871, 20874, 20874, 20875, 20875, 20876, 20877, 20880, 20881, 20882, 20883, 20884, 20885, 20886, 20886, 20886, 20887, 20887, 20889, 20891, 20892, 20892, 20896, 20898, 20898, 20901, 20902, 20903, 20904, 20905, 20905, 20909, 20910, 20912, 20914, 20915, 20915, 20917, 20918, 20919, 20919, 20920, 20921, 20922, 20922, 20924, 20925, 20926, 20930, 20930, 20931, 20933, 20935, 20936, 20940, 20942, 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21142, 21142, 21143, 21145, 21147, 21149, 21157, 21161, 21162, 21162, 21165, 21165, 21166, 21169, 21169, 21172, 21173, 21174, 21175, 21177, 21178, 21179, 21179, 21180, 21181, 21182, 21182, 21183, 21183, 21184, 21184, 21188, 21190, 21191, 21194, 21196, 21197, 21198, 21200, 21200, 21204, 21206, 21207, 21207, 21211, 21211, 21212, 21212, 21213, 21213, 21213, 21214, 21216, 21216, 21218, 21219, 21222, 21222, 21223, 21224, 21226, 21227, 21228, 21230, 21231, 21231, 21232, 21234, 21234, 21239, 21240, 21243, 21244, 21244, 21248, 21248, 21250, 21251, 21252, 21255, 21255, 21255, 21260, 21262, 21263, 21263, 21264, 21264, 21265, 21267, 21268, 21269, 21270, 21273, 21273, 21274, 21275, 21276, 21280, 21282, 21283, 21286, 21286, 21287, 21288, 21290, 21290, 21290, 21292, 21292, 21294, 21294, 21295, 21297, 21298, 21298, 21299, 21301, 21302, 21302, 21303, 21303, 21305, 21307, 21309, 21310, 21310, 21311, 21312, 21312, 21318, 21320, 21320, 21323, 21324, 21326, 21326, 21326, 21326, 21327, 21327, 21327, 21328, 21331, 21335, 21336, 21338, 21338, 21342, 21342, 21342, 21343, 21348, 21349, 21350, 21351, 21351, 21352, 21354, 21355, 21364, 21364, 21366, 21366, 21367, 21370, 21373, 21373, 21375, 21376, 21379, 21380, 21380, 21384, 21384, 21386, 21388, 21394, 21394, 21395, 21396, 21398, 21398, 21398, 21398, 21399, 21402, 21404, 21404, 21404, 21406, 21406, 21413, 21413, 21415, 21415, 21419, 21419, 21421, 21421, 21421, 21422, 21422, 21423, 21423, 21424, 21426, 21426, 21431, 21432, 21434, 21437, 21440, 21443, 21448, 21449, 21449, 21453, 21459, 21461, 21461, 21462, 21463, 21466, 21467, 21470, 21470, 21472, 21476, 21476, 21476, 21480, 21481, 21481, 21482, 21482, 21482, 21485, 21486, 21487, 21487, 21489, 21493, 21496, 21496, 21496, 21497, 21504, 21505, 21507, 21508, 21510, 21512, 21515, 21515, 21516, 21518, 21520, 21521, 21522, 21523, 21524, 21526, 21528, 21531, 21531, 21532, 21533, 21535, 21536, 21537, 21538, 21539, 21539, 21541, 21547, 21548, 21548, 21549, 21549, 21550, 21550, 21551, 21556, 21557, 21558, 21558, 21559, 21561, 21562, 21564, 21566, 21570, 21571, 21571, 21572, 21572, 21572, 21573, 21574, 21575, 21578, 21579, 21580, 21580, 21585, 21586, 21587, 21587, 21588, 21590, 21590, 21590, 21594, 21594, 21597, 21601, 21602, 21602, 21602, 21604, 21604, 21608, 21611, 21613, 21615, 21616, 21618, 21619, 21619, 21620, 21622, 21622, 21628, 21628, 21628, 21628, 21628, 21629, 21629, 21630, 21631, 21635, 21639, 21639, 21639, 21640, 21640, 21643, 21643, 21645, 21648, 21651, 21655, 21657, 21659, 21659, 21659, 21662, 21663, 21666, 21666, 21667, 21667, 21667, 21669, 21676, 21680, 21681, 21681, 21682, 21682, 21682, 21683, 21684, 21691, 21692, 21693, 21695, 21696, 21696, 21697, 21699, 21700, 21702, 21706, 21711, 21711, 21714, 21715, 21715, 21715, 21716, 21723, 21726, 21727, 21728, 21728, 21730, 21731, 21735, 21736, 21736, 21738, 21738, 21743, 21744, 21745, 21745, 21746, 21748, 21748, 21749, 21750, 21750, 21751, 21754, 21756, 21758, 21759, 21760, 21760, 21764, 21765, 21767, 21769, 21769, 21771, 21771, 21771, 21772, 21774, 21774, 21776, 21777, 21777, 21778, 21778, 21778, 21778, 21780, 21780, 21781, 21782, 21786, 21786, 21789, 21789, 21789, 21792, 21792, 21792, 21794, 21795, 21798, 21799, 21803, 21806, 21807, 21807, 21807, 21808, 21810, 21810, 21811, 21812, 21817, 21818, 21820, 21820, 21821, 21823, 21823, 21824, 21824, 21824, 21824, 21825, 21827, 21829, 21830, 21834, 21835, 21835, 21837, 21837, 21839, 21842, 21843, 21843, 21844, 21848, 21848, 21848, 21849, 21850, 21851, 21852, 21856, 21861, 21866, 21869, 21869, 21869, 21871, 21871, 21874, 21875, 21875, 21877, 21877, 21880, 21881, 21882, 21883, 21886, 21887, 21889, 21889, 21890, 21890, 21890, 21891, 21891, 21892, 21892, 21892, 21893, 21893, 21894, 21895, 21896, 21896, 21899, 21900, 21901, 21903, 21904, 21907, 21908, 21910, 21911, 21912, 21915, 21917, 21919, 21921, 21921, 21922, 21922, 21922, 21924, 21924, 21928, 21928, 21929, 21932, 21933, 21933, 21935, 21936, 21937, 21938, 21938, 21942, 21948, 21948, 21950, 21950, 21953, 21954, 21958, 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22140, 22141, 22142, 22142, 22142, 22144, 22144, 22144, 22149, 22151, 22151, 22152, 22152, 22153, 22155, 22161, 22163, 22163, 22165, 22168, 22168, 22169, 22170, 22170, 22176, 22176, 22179, 22180, 22181, 22184, 22185, 22185, 22185, 22187, 22191, 22192, 22193, 22196, 22196, 22196, 22196, 22197, 22197, 22199, 22200, 22201, 22202, 22204, 22205, 22206, 22207, 22207, 22207, 22208, 22209, 22210, 22211, 22212, 22216, 22217, 22218, 22220, 22220, 22221, 22225, 22226, 22226, 22227, 22232, 22234, 22235, 22237, 22238, 22239, 22239, 22243, 22243, 22244, 22246, 22247, 22247, 22247, 22248, 22248, 22248, 22250, 22250, 22252, 22252, 22254, 22256, 22258, 22259, 22259, 22260, 22262, 22263, 22265, 22266, 22267, 22267, 22267, 22268, 22269, 22270, 22270, 22270, 22271, 22274, 22276, 22276, 22283, 22290, 22292, 22294, 22294, 22295, 22297, 22298, 22299, 22300, 22300, 22300, 22306, 22307, 22307, 22309, 22309, 22309, 22310, 22311, 22312, 22312, 22313, 22313, 22313, 22315, 22316, 22317, 22317, 22321, 22324, 22326, 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39119, 39120, 39121, 39125, 39127, 39127, 39128, 39129, 39131, 39132, 39134, 39135, 39135, 39139, 39139, 39140, 39141, 39142, 39143, 39145, 39145, 39146, 39149, 39151, 39151, 39153, 39155, 39157, 39157, 39157, 39158, 39158, 39160, 39162, 39163, 39165, 39168, 39168, 39170, 39174, 39174, 39178, 39178, 39181, 39185, 39185, 39186, 39187, 39188, 39188, 39188, 39191, 39194, 39197, 39198, 39199, 39200, 39202, 39202, 39203, 39204, 39206, 39206, 39206, 39208, 39209, 39213, 39215, 39215, 39216, 39216, 39217, 39217, 39219, 39221, 39221, 39222, 39223, 39224, 39225, 39225, 39227, 39228, 39231, 39232, 39234, 39235, 39235, 39236, 39236, 39240, 39240, 39242, 39247, 39248, 39249, 39251, 39251, 39255, 39255, 39257, 39258, 39258, 39259, 39267, 39268, 39269, 39276, 39277, 39277, 39277, 39279, 39280, 39281, 39282, 39284, 39284, 39284, 39287, 39287, 39290, 39291, 39294, 39295, 39299, 39301, 39301, 39302, 39303, 39303, 39304, 39304, 39305, 39310, 39310, 39310, 39312, 39314, 39315, 39316, 39317, 39319, 39320, 39321, 39322, 39323, 39326, 39327, 39327, 39328, 39328, 39330, 39330, 39331, 39331, 39334, 39334, 39337, 39340, 39341, 39341, 39342, 39342, 39343, 39344, 39345, 39345, 39345, 39347, 39349, 39349, 39349, 39350, 39352, 39354, 39354, 39355, 39356, 39356, 39357, 39358, 39359, 39360, 39363, 39364, 39365, 39365, 39365, 39366, 39368, 39370, 39371, 39372, 39375, 39375, 39380, 39381, 39381, 39383, 39384, 39385, 39385, 39386, 39386, 39388, 39390, 39391, 39392, 39393, 39394, 39394, 39394, 39395, 39395, 39396, 39397, 39399, 39399, 39401, 39402, 39404, 39408, 39410, 39412, 39414, 39416, 39420, 39421, 39421, 39421, 39422, 39424, 39425, 39428, 39428, 39429, 39430, 39432, 39434, 39435, 39438, 39438, 39440, 39441, 39441, 39442, 39443, 39445, 39445, 39446, 39447, 39447, 39448, 39451, 39451, 39452, 39453, 39455, 39456, 39458, 39458, 39459, 39460, 39460, 39460, 39461, 39462, 39462, 39463, 39463, 39465, 39465, 39465, 39470, 39471, 39474, 39475, 39477, 39478, 39478, 39480, 39481, 39481, 39481, 39481, 39483, 39485, 39487, 39487, 39492, 39493, 39498, 39500, 39501, 39501, 39504, 39506, 39507, 39509, 39511, 39516, 39517, 39518, 39518, 39519, 39520, 39521, 39522, 39526, 39528, 39528, 39530, 39531, 39532, 39536, 39536, 39538, 39540, 39541, 39541, 39543, 39543, 39544, 39544, 39546, 39547, 39548, 39550, 39553, 39555, 39555, 39560, 39562, 39564, 39565, 39565, 39565, 39570, 39570, 39573, 39575, 39578, 39581, 39581, 39581, 39583, 39585, 39585, 39589, 39592, 39592, 39593, 39593, 39593, 39595, 39595, 39596, 39597, 39598, 39601, 39608, 39609, 39610, 39613, 39615, 39615, 39615, 39617, 39618, 39618, 39619, 39619, 39619, 39620, 39620, 39626, 39627, 39628, 39629, 39629, 39629, 39630, 39632, 39636, 39641, 39641, 39641, 39642, 39642, 39642, 39643, 39645, 39647, 39648, 39648, 39649, 39658, 39661, 39661, 39662, 39667, 39667, 39668, 39672, 39674, 39677, 39677, 39679, 39679, 39680, 39680, 39680, 39684, 39686, 39689, 39689, 39691, 39695, 39698, 39698, 39700, 39701, 39705, 39707, 39707, 39707, 39709, 39710, 39711, 39713, 39714, 39715, 39718, 39718, 39722, 39723, 39723, 39724, 39726, 39727, 39730, 39734, 39735, 39735, 39738, 39738, 39743, 39745, 39745, 39745, 39748, 39750, 39750, 39754, 39755, 39755, 39757, 39758, 39758, 39763, 39765, 39767, 39767, 39769, 39770, 39771, 39774, 39775, 39775, 39778, 39780, 39787, 39788, 39791, 39792, 39792, 39793, 39795, 39800, 39801, 39804, 39805, 39805, 39806, 39808, 39812, 39812, 39812, 39813, 39815, 39815, 39817, 39817, 39819, 39819, 39820, 39820, 39820, 39821, 39822, 39822, 39824, 39824, 39825, 39826, 39828, 39828, 39828, 39831, 39831, 39832, 39832, 39833, 39835, 39837, 39838, 39839, 39840, 39840, 39842, 39843, 39844, 39847, 39851, 39852, 39853, 39854, 39855, 39856, 39857, 39860, 39861, 39861, 39861, 39862, 39862, 39864, 39865, 39866, 39868, 39868, 39869, 39870, 39871, 39871, 39872, 39873, 39874, 39875, 39877, 39882, 39882, 39887, 39888, 39890, 39892, 39893, 39894, 39895, 39896, 39898, 39901, 39903, 39905, 39908, 39908, 39908, 39909, 39910, 39910, 39911, 39911, 39913, 39913, 39915, 39918, 39918, 39922, 39924, 39925, 39925, 39926, 39927, 39928, 39928, 39930, 39930, 39930, 39933, 39935, 39937, 39938, 39939, 39940, 39941, 39942, 39946, 39948, 39950, 39953, 39954, 39956, 39956, 39958, 39959, 39960, 39961, 39962, 39965, 39966, 39967, 39967, 39968, 39968, 39971, 39972, 39975, 39977, 39977, 39977, 39979, 39980, 39980, 39981, 39986, 39988, 39991, 39991, 39992, 39993, 39994, 39994, 39996, 39996, 39996, 39997, 40000, 40001, 40003, 40005, 40005, 40007, 40007, 40012, 40013, 40013, 40014, 40015, 40016, 40016, 40017, 40018, 40019, 40019, 40019, 40020, 40021, 40022, 40023, 40024, 40027, 40031, 40032, 40035, 40036, 40036, 40037, 40040, 40041, 40045, 40045, 40047, 40047, 40047, 40047, 40047, 40048, 40050, 40058, 40058, 40058, 40059, 40059, 40059, 40061, 40063, 40063, 40064, 40064, 40066, 40069, 40074, 40074, 40074, 40075, 40075, 40078, 40080, 40081, 40083, 40084, 40086, 40087, 40088, 40089, 40090, 40092, 40094, 40094, 40095, 40096, 40099, 40099, 40100, 40101, 40101, 40101, 40101, 40103, 40104, 40104, 40106, 40106, 40108, 40109, 40111, 40113, 40113, 40114, 40115, 40116, 40117, 40117, 40120, 40120, 40123, 40124, 40124, 40125, 40126, 40127, 40127, 40129, 40129, 40129, 40129, 40130, 40131, 40131, 40132, 40133, 40136, 40137, 40139, 40142, 40143, 40143, 40145, 40149, 40150, 40150, 40151, 40151, 40154, 40157, 40157, 40158, 40159, 40160, 40163, 40165, 40166, 40167, 40171, 40171, 40171, 40173, 40173, 40173, 40173, 40174, 40174, 40175, 40176, 40178, 40179, 40179, 40180, 40181, 40181, 40181, 40183, 40183, 40185, 40185, 40185, 40187, 40187, 40189, 40189, 40190, 40191, 40191, 40192, 40196, 40197, 40199, 40199, 40200, 40201, 40201, 40203, 40207, 40208, 40210, 40212, 40212, 40212, 40212, 40213, 40213, 40213, 40214, 40216, 40216, 40219, 40219, 40219, 40219, 40221, 40221, 40222, 40222, 40222, 40224, 40224, 40225, 40225, 40226, 40226, 40230, 40231, 40233, 40243, 40244, 40247, 40248, 40250, 40250, 40250, 40251, 40251, 40252, 40256, 40256, 40257, 40258, 40258, 40258, 40259, 40259, 40260, 40262, 40262, 40263, 40265, 40266, 40267, 40268, 40268, 40268, 40269, 40271, 40271, 40273, 40273, 40276, 40277, 40278, 40280, 40280, 40283, 40285, 40285, 40287, 40291, 40292, 40294, 40294, 40294, 40295, 40296, 40296, 40299, 40301, 40309, 40309, 40312, 40312, 40313, 40313, 40316, 40316, 40319, 40319, 40322, 40322, 40326, 40326, 40327, 40327, 40331, 40331, 40333, 40333, 40335, 40336, 40336, 40337, 40337, 40338, 40341, 40341, 40342, 40344, 40348, 40348, 40348, 40350, 40351, 40353, 40354, 40354, 40357, 40362, 40367, 40368, 40369, 40370, 40370, 40370, 40371, 40372, 40378, 40381, 40383, 40384, 40387, 40392, 40393, 40396, 40397, 40398, 40399, 40399, 40400, 40400, 40401, 40401, 40402, 40403, 40403, 40404, 40404, 40404, 40404, 40405, 40406, 40407, 40410, 40414, 40414, 40414, 40417, 40418, 40419, 40419, 40420, 40420, 40420, 40422, 40423, 40423, 40427, 40427, 40429, 40429, 40430, 40432, 40432, 40433, 40434, 40435, 40439, 40441, 40442, 40445, 40447, 40448, 40449, 40451, 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40682, 40683, 40683, 40683, 40684, 40684, 40685, 40687, 40689, 40690, 40690, 40695, 40696, 40699, 40699, 40700, 40703, 40704, 40706, 40706, 40707, 40708, 40709, 40709, 40711, 40716, 40716, 40717, 40717, 40718, 40720, 40723, 40726, 40728, 40731, 40734, 40737, 40737, 40738, 40738, 40741, 40741, 40742, 40742, 40744, 40744, 40748, 40749, 40749, 40750, 40752, 40754, 40757, 40758, 40758, 40759, 40761, 40761, 40768, 40768, 40769, 40769, 40772, 40773, 40776, 40780, 40787, 40789, 40789, 40798, 40799, 40800, 40803, 40803, 40804, 40806, 40808, 40810, 40812, 40812, 40812, 40814, 40814, 40814, 40815, 40815, 40819, 40819, 40819, 40820, 40822, 40823, 40823, 40824, 40824, 40824, 40824, 40825, 40829, 40830, 40830, 40833, 40834, 40837, 40839, 40839, 40839, 40840, 40841, 40842, 40843, 40843, 40845, 40846, 40848, 40848, 40850, 40852, 40855, 40855, 40856, 40858, 40859, 40860, 40861, 40862, 40862, 40862, 40864, 40868, 40869, 40871, 40872, 40873, 40874, 40874, 40879, 40879, 40879, 40879, 40880, 40880, 40881, 40885, 40885, 40885, 40886, 40890, 40891, 40892, 40892, 40896, 40896, 40897, 40898, 40900, 40905, 40905, 40906, 40911, 40915, 40917, 40920, 40921, 40921, 40921, 40922, 40923, 40923, 40924, 40925, 40927, 40929, 40930, 40939, 40940, 40943, 40945, 40946, 40946, 40948, 40949, 40949, 40950, 40957, 40959, 40962, 40963, 40963, 40964, 40966, 40966, 40966, 40968, 40968, 40970, 40971, 40972, 40978, 40978, 40983, 40985, 40986, 40986, 40990, 40990, 40993, 40996, 40997, 41000, 41001, 41001, 41001, 41003, 41004, 41005, 41008, 41008, 41008, 41009, 41009, 41010, 41011, 41012, 41014, 41015, 41016, 41016, 41018, 41018, 41022, 41023, 41026, 41026, 41027, 41029, 41036, 41038, 41041, 41041, 41043, 41044, 41045, 41046, 41046, 41047, 41049, 41049, 41050, 41051, 41053, 41055, 41056, 41057, 41059, 41060, 41064, 41068, 41069, 41071, 41074, 41077, 41077, 41078, 41079, 41079, 41080, 41084, 41085, 41085, 41085, 41087, 41089, 41091, 41092, 41092, 41093, 41095, 41096, 41099, 41099, 41100, 41100, 41102, 41103, 41105, 41105, 41107, 41108, 41109, 41109, 41111, 41111, 41112, 41114, 41114, 41115, 41117, 41118, 41119, 41119, 41120, 41122, 41124, 41127, 41127, 41127, 41128, 41132, 41134, 41136, 41137, 41137, 41138, 41141, 41143, 41144, 41145, 41146, 41146, 41148, 41149, 41149, 41149, 41150, 41155, 41156, 41156, 41157, 41163, 41164, 41165, 41168, 41168, 41169, 41171, 41172, 41181, 41185, 41186, 41188, 41189, 41189, 41190, 41190, 41192, 41193, 41195, 41195, 41195, 41196, 41197, 41197, 41197, 41199, 41204, 41204, 41206, 41207, 41209, 41209, 41209, 41209, 41210, 41212, 41213, 41214, 41216, 41216, 41217, 41217, 41219, 41220, 41221, 41222, 41223, 41225, 41225, 41225, 41227, 41227, 41230, 41231, 41232, 41233, 41234, 41234, 41237, 41243, 41243, 41247, 41249, 41249, 41250, 41254, 41254, 41255, 41256, 41259, 41259, 41260, 41262, 41263, 41268, 41269, 41270, 41271, 41271, 41272, 41273, 41274, 41276, 41276, 41278, 41278, 41278, 41280, 41280, 41281, 41281, 41285, 41285, 41286, 41289, 41290, 41293, 41294, 41303, 41304, 41305, 41305, 41306, 41307, 41308, 41308, 41309, 41309, 41310, 41312, 41313, 41316, 41317, 41317, 41323, 41323, 41324, 41327, 41330, 41331, 41332, 41332, 41335, 41336, 41336, 41337, 41340, 41341, 41341, 41342, 41343, 41343, 41346, 41346, 41349, 41349, 41349, 41350, 41350, 41352, 41352, 41352, 41356, 41357, 41358, 41358, 41359, 41360, 41364, 41367, 41367, 41368, 41369, 41369, 41373, 41374, 41376, 41378, 41378, 41378, 41379, 41380, 41380, 41381, 41383, 41385, 41385, 41385, 41385, 41386, 41387, 41387, 41389, 41389, 41392, 41393, 41394, 41394, 41394, 41395, 41396, 41396, 41397, 41397, 41398, 41399, 41401, 41401, 41402, 41406, 41406, 41407, 41408, 41409, 41410, 41410, 41412, 41413, 41416, 41420, 41422, 41422, 41425, 41427, 41427, 41427, 41427, 41429, 41430, 41431, 41434, 41439, 41442, 41443, 41444, 41446, 41446, 41448, 41448, 41452, 41456, 41457, 41459, 41459, 41459, 41460, 41460, 41460, 41460, 41460, 41461, 41463, 41463, 41464, 41465, 41466, 41468, 41468, 41469, 41471, 41471, 41472, 41472, 41473, 41475, 41476, 41479, 41483, 41485, 41486, 41487, 41488, 41488, 41489, 41492, 41492, 41492, 41492, 41493, 41493, 41495, 41495, 41501, 41502, 41502, 41503, 41503, 41505, 41506, 41508, 41508, 41509, 41509, 41510, 41510, 41511, 41513, 41514, 41515, 41515, 41516, 41518, 41518, 41521, 41522, 41525, 41526, 41529, 41530, 41530, 41530, 41531, 41532, 41533, 41534, 41535, 41536, 41537, 41538, 41540, 41542, 41542, 41544, 41545, 41545, 41548, 41549, 41549, 41550, 41550, 41552, 41553, 41554, 41555, 41558, 41559, 41560, 41561, 41561, 41563, 41564, 41566, 41568, 41568, 41571, 41571, 41572, 41574, 41575, 41577, 41577, 41577, 41577, 41578, 41579, 41579, 41581, 41582, 41583, 41586, 41586, 41587, 41588, 41588, 41589, 41590, 41592, 41597, 41600, 41602, 41603, 41603, 41605, 41608, 41609, 41609, 41609, 41612, 41614, 41614, 41616, 41617, 41618, 41618, 41619, 41619, 41622, 41624, 41625, 41625, 41627, 41628, 41630, 41636, 41639, 41639, 41640, 41640, 41643, 41643, 41644, 41646, 41646, 41647, 41647, 41649, 41651, 41652, 41653, 41653, 41653, 41655, 41656, 41656, 41657, 41659, 41660, 41660, 41660, 41661, 41661, 41665, 41668, 41669, 41670, 41672, 41672, 41673, 41674, 41675, 41677, 41679, 41680, 41680, 41682, 41682, 41683, 41688, 41688, 41691, 41691, 41691, 41691, 41697, 41700, 41701, 41701, 41703, 41704, 41706, 41707, 41708, 41712, 41714, 41714, 41716, 41717, 41718, 41718, 41719, 41721, 41725, 41729, 41736, 41736, 41737, 41738, 41742, 41744, 41744, 41746, 41746, 41746, 41747, 41748, 41748, 41751, 41752, 41753, 41757, 41757, 41757, 41757, 41758, 41758, 41760, 41764, 41767, 41767, 41768, 41771, 41772, 41772, 41775, 41776, 41777, 41777, 41778, 41779, 41782, 41783, 41787, 41787, 41787, 41788, 41789, 41791, 41793, 41794, 41794, 41796, 41798, 41800, 41802, 41805, 41810, 41811, 41812, 41812, 41813, 41814, 41816, 41817, 41818, 41819, 41820, 41822, 41823, 41823, 41825, 41826, 41828, 41828, 41829, 41829, 41830, 41830, 41836, 41838, 41839, 41839, 41840, 41840, 41840, 41840, 41840, 41842, 41845, 41847, 41847, 41848, 41848, 41849, 41849, 41851, 41853, 41853, 41855, 41856, 41861, 41862, 41863, 41864, 41865, 41865, 41866, 41866, 41868, 41868, 41869, 41869, 41869, 41871, 41872, 41872, 41874, 41876, 41876, 41876, 41878, 41880, 41880, 41881, 41885, 41891, 41891, 41892, 41893, 41894, 41894, 41895, 41898, 41899, 41899, 41901, 41902, 41904, 41906, 41908, 41910, 41910, 41911, 41911, 41912, 41914, 41914, 41917, 41920, 41922, 41922, 41924, 41925, 41925, 41926, 41927, 41927, 41927, 41930, 41930, 41932, 41933, 41934, 41934, 41936, 41936, 41936, 41937, 41938, 41938, 41938, 41940, 41941, 41943, 41944, 41944, 41945, 41945, 41950, 41951, 41951, 41953, 41953, 41953, 41959, 41960, 41961, 41961, 41961, 41961, 41962, 41962, 41963, 41963, 41963, 41964, 41964, 41965, 41965, 41966, 41968, 41969, 41969, 41969, 41970, 41972, 41972, 41973, 41975, 41976, 41977, 41978, 41980, 41981, 41982, 41983, 41985, 41986, 41987, 41987, 41988, 41988, 41988, 41989, 41989, 41992, 41994, 41995, 41996, 41996, 41998, 41998, 41998, 41999, 42000, 42000, 42002, 42002, 42006, 42006, 42006, 42009, 42009, 42009, 42011, 42011, 42013, 42014, 42014, 42015, 42016, 42016, 42018, 42020, 42021, 42022, 42023, 42024, 42024, 42025, 42028, 42028, 42029, 42030, 42030, 42033, 42034, 42034, 42036, 42040, 42041, 42041, 42042, 42042, 42043, 42043, 42043, 42045, 42047, 42047, 42048, 42049, 42051, 42051, 42051, 42053, 42054, 42054, 42055, 42055, 42055, 42057, 42059, 42064, 42066, 42067, 42068, 42078, 42080, 42082, 42082, 42084, 42086, 42089, 42090, 42091, 42092, 42092, 42093, 42094, 42095, 42095, 42097, 42099, 42099, 42101, 42103, 42105, 42108, 42109, 42109, 42109, 42111, 42111, 42112, 42113, 42113, 42114, 42114, 42115, 42116, 42117, 42118, 42119, 42120, 42121, 42121, 42122, 42122, 42123, 42123, 42123, 42127, 42128, 42129, 42130, 42132, 42133, 42133, 42135, 42135, 42140, 42141, 42142, 42142, 42149, 42151, 42153, 42153, 42155, 42156, 42156, 42157, 42157, 42159, 42160, 42160, 42161, 42162, 42162, 42162, 42163, 42164, 42166, 42167, 42167, 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54533, 54534, 54539, 54539, 54539, 54539, 54541, 54541, 54544, 54544, 54545, 54546, 54548, 54552, 54552, 54553, 54555, 54557, 54559, 54561, 54562, 54563, 54563, 54564, 54566, 54570, 54574, 54575, 54575, 54576, 54578, 54578, 54579, 54581, 54583, 54586, 54587, 54587, 54587, 54592, 54593, 54593, 54594, 54594, 54594, 54595, 54595, 54598, 54600, 54604, 54606, 54608, 54610, 54613, 54613, 54615, 54616, 54620, 54623, 54627, 54628, 54629, 54629, 54632, 54632, 54635, 54635, 54636, 54637, 54639, 54640, 54641, 54641, 54642, 54643, 54644, 54644, 54645, 54645, 54646, 54648, 54648, 54649, 54650, 54651, 54651, 54652, 54653, 54654, 54655, 54656, 54663, 54667, 54667, 54668, 54670, 54670, 54672, 54674, 54676, 54676, 54678, 54680, 54683, 54683, 54685, 54686, 54687, 54689, 54690, 54691, 54697, 54697, 54698, 54700, 54702, 54703, 54703, 54704, 54705, 54706, 54708, 54708, 54711, 54712, 54713, 54714, 54715, 54716, 54716, 54718, 54718, 54718, 54720, 54721, 54729, 54729, 54731, 54734, 54735, 54738, 54739, 54739, 54743, 54744, 54747, 54751, 54751, 54752, 54754, 54754, 54755, 54755, 54755, 54758, 54760, 54762, 54762, 54765, 54766, 54766, 54767, 54767, 54768, 54768, 54768, 54769, 54770, 54770, 54772, 54772, 54773, 54773, 54774, 54777, 54778, 54781, 54782, 54783, 54784, 54786, 54788, 54790, 54790, 54791, 54792, 54793, 54795, 54803, 54804, 54805, 54807, 54809, 54810, 54810, 54811, 54811, 54813, 54815, 54818, 54821, 54821, 54825, 54828, 54828, 54829, 54830, 54831, 54831, 54832, 54832, 54834, 54836, 54837, 54837, 54838, 54838, 54839, 54840, 54840, 54840, 54840, 54841, 54853, 54853, 54853, 54854, 54855, 54856, 54857, 54858, 54862, 54863, 54863, 54863, 54864, 54868, 54870, 54871, 54873, 54874, 54874, 54875, 54880, 54880, 54881, 54881, 54883, 54883, 54884, 54885, 54885, 54886, 54888, 54890, 54892, 54893, 54893, 54894, 54894, 54895, 54898, 54898, 54898, 54898, 54899, 54901, 54902, 54902, 54903, 54909, 54909, 54909, 54910, 54913, 54913, 54915, 54916, 54917, 54918, 54919, 54919, 54920, 54924, 54925, 54926, 54927, 54927, 54932, 54934, 54935, 54944, 54951, 54951, 54952, 54956, 54958, 54958, 54960, 54963, 54963, 54964, 54967, 54968, 54976, 54978, 54979, 54979, 54979, 54983, 54984, 54985, 54988, 54988, 54988, 54988, 54989, 54989, 54990, 54991, 54992, 54993, 54994, 54996, 54996, 54999, 55001, 55001, 55001, 55005, 55005, 55008, 55009, 55010, 55010, 55013, 55015, 55015, 55015, 55016, 55017, 55019, 55020, 55020, 55023, 55024, 55026, 55027, 55028, 55030, 55031, 55037, 55039, 55039, 55042, 55043, 55046, 55047, 55048, 55048, 55051, 55052, 55053, 55056, 55056, 55057, 55057, 55058, 55064, 55065, 55066, 55066, 55067, 55068, 55068, 55069, 55071, 55071, 55074, 55076, 55077, 55079, 55080, 55080, 55085, 55087, 55088, 55089, 55090, 55090, 55090, 55091, 55092, 55093, 55094, 55094, 55098, 55099, 55099, 55100, 55101, 55102, 55103, 55108, 55109, 55109, 55110, 55112, 55112, 55113, 55115, 55115, 55117, 55120, 55120, 55121, 55122, 55122, 55122, 55123, 55123, 55123, 55125, 55125, 55126, 55127, 55128, 55128, 55129, 55129, 55130, 55130, 55132, 55133, 55133, 55133, 55134, 55134, 55134, 55136, 55137, 55138, 55139, 55139, 55140, 55141, 55142, 55144, 55146, 55146, 55148, 55148, 55148, 55150, 55150, 55150, 55152, 55153, 55154, 55155, 55158, 55164, 55165, 55166, 55168, 55169, 55172, 55172, 55173, 55173, 55176, 55176, 55177, 55179, 55179, 55182, 55182, 55182, 55183, 55184, 55185, 55187, 55187, 55189, 55190, 55193, 55195, 55197, 55203, 55204, 55204, 55204, 55205, 55205, 55208, 55209, 55210, 55212, 55216, 55216, 55216, 55218, 55219, 55219, 55223, 55223, 55224, 55231, 55233, 55236, 55238, 55239, 55239, 55240, 55242, 55243, 55244, 55244, 55248, 55248, 55249, 55250, 55251, 55253, 55254, 55254, 55255, 55257, 55258, 55260, 55261, 55261, 55262, 55262, 55264, 55266, 55270, 55270, 55271, 55271, 55272, 55275, 55276, 55277, 55278, 55279, 55279, 55280, 55281, 55281, 55282, 55283, 55284, 55285, 55286, 55289, 55289, 55290, 55292, 55293, 55294, 55295, 55296, 55298, 55301, 55302, 55303, 55304, 55304, 55306, 55307, 55308, 55309, 55309, 55311, 55312, 55315, 55315, 55318, 55320, 55320, 55321, 55322, 55323, 55323, 55327, 55332, 55333, 55337, 55338, 55338, 55339, 55340, 55340, 55341, 55341, 55342, 55344, 55345, 55345, 55345, 55346, 55346, 55346, 55351, 55351, 55354, 55356, 55357, 55361, 55363, 55364, 55367, 55368, 55368, 55369, 55369, 55370, 55370, 55371, 55372, 55373, 55377, 55378, 55378, 55378, 55378, 55380, 55380, 55383, 55383, 55384, 55384, 55387, 55387, 55387, 55389, 55389, 55391, 55391, 55392, 55392, 55392, 55394, 55395, 55397, 55397, 55400, 55400, 55400, 55400, 55401, 55408, 55408, 55412, 55413, 55420, 55423, 55423, 55424, 55424, 55426, 55426, 55426, 55429, 55433, 55433, 55434, 55434, 55436, 55442, 55448, 55449, 55450, 55451, 55452, 55452, 55453, 55454, 55454, 55456, 55458, 55460, 55460, 55461, 55462, 55465, 55468, 55469, 55469, 55470, 55473, 55474, 55475, 55477, 55479, 55480, 55481, 55483, 55483, 55485, 55485, 55485, 55485, 55485, 55486, 55486, 55487, 55487, 55490, 55491, 55492, 55494, 55495, 55496, 55496, 55496, 55498, 55499, 55501, 55502, 55503, 55503, 55504, 55506, 55507, 55509, 55509, 55510, 55511, 55514, 55517, 55517, 55519, 55519, 55520, 55521, 55523, 55524, 55525, 55526, 55528, 55528, 55529, 55530, 55531, 55533, 55534, 55535, 55543, 55544, 55545, 55549, 55549, 55550, 55552, 55552, 55554, 55555, 55557, 55557, 55557, 55567, 55568, 55569, 55571, 55574, 55574, 55574, 55575, 55577, 55578, 55578, 55579, 55581, 55581, 55581, 55581, 55583, 55586, 55588, 55589, 55591, 55592, 55595, 55597, 55599, 55600, 55601, 55601, 55601, 55602, 55604, 55607, 55609, 55611, 55611, 55614, 55615, 55616, 55616, 55617, 55617, 55618, 55619, 55620, 55621, 55622, 55622, 55624, 55624, 55625, 55626, 55628, 55630, 55630, 55637] 55640)) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimumAddedCoins [28, 92, 134, 168, 169, 170, 176, 180, 188, 200, 253, 278, 328, 348, 382, 389, 390, 402, 445, 492, 497, 523, 526, 538, 585, 587, 595, 608, 687, 693, 696, 758, 759, 792, 797, 799, 810, 849, 920, 925, 940, 969, 972, 977, 1023, 1042, 1074, 1096, 1106, 1135, 1155, 1177, 1193, 1219, 1234, 1296, 1300, 1305, 1341, 1413, 1420, 1453, 1464, 1477, 1508, 1508, 1516, 1539, 1552, 1561, 1571, 1585, 1587, 1622, 1624, 1647, 1690, 1697, 1711, 1714, 1732, 1736, 1753, 1768, 1813, 1829, 1836, 1886, 1886, 1912, 1927, 1969, 1973, 1988, 1989, 2008, 2030, 2060, 2086, 2111, 2190, 2217, 2258, 2278, 2311, 2313, 2323, 2348, 2365, 2366, 2392, 2416, 2426, 2447, 2466, 2496, 2513, 2536, 2582, 2583, 2591, 2595, 2596, 2599, 2603, 2633, 2650, 2655, 2683, 2697, 2711, 2756, 2796, 2827, 2838, 2854, 2865, 2873, 2902, 2921, 2921, 2941, 2965, 2978, 2979, 2985, 3000, 3050, 3089, 3096, 3116, 3135, 3155, 3197, 3204, 3213, 3226, 3243, 3255, 3261, 3267, 3281, 3290, 3327, 3327, 3360, 3388, 3392, 3423, 3423, 3434, 3445, 3458, 3461, 3505, 3512, 3520, 3542, 3594, 3611, 3628, 3630, 3662, 3669, 3721, 3724, 3777, 3799, 3814, 3831, 3840, 3849, 3875, 3908, 3949, 3986, 3987, 3996, 4005, 4028, 4036, 4108, 4202, 4246, 4265, 4288, 4305, 4316, 4323, 4345, 4402, 4407, 4412, 4417, 4452, 4461, 4475, 4503, 4538, 4539, 4573, 4580, 4589, 4596, 4597, 4640, 4654, 4676, 4678, 4690, 4696, 4701, 4736, 4756, 4776, 4811, 4815, 4854, 4856, 4859, 4866, 4907, 4921, 4945, 4956, 4957, 4992, 5006, 5066, 5137, 5143, 5145, 5193, 5201, 5204, 5216, 5228, 5240, 5296, 5370, 5465, 5494, 5499, 5555, 5574, 5575, 5585, 5644, 5665, 5680, 5686, 5686, 5697, 5708, 5774, 5777, 5818, 5837, 5844, 5860, 5863, 5864, 5874, 5974, 5995, 6035, 6056, 6141, 6155, 6158, 6185, 6186, 6199, 6246, 6250, 6336, 6356, 6358, 6360, 6363, 6379, 6387, 6401, 6421, 6453, 6462, 6471, 6491, 6508, 6558, 6562, 6574, 6598, 6600, 6630, 6633, 6637, 6663, 6703, 6744, 6772, 6795, 6824, 6900, 6908, 6924, 6929, 6933, 7060, 7067, 7071, 7085, 7107, 7116, 7128, 7158, 7171, 7172, 7215, 7249, 7288, 7297, 7371, 7373, 7377, 7414, 7439, 7473, 7475, 7480, 7482, 7507, 7579, 7646, 7672, 7719, 7726, 7726, 7734, 7750, 7816, 7852, 7880, 7918, 7963, 8005, 8031, 8085, 8107, 8177, 8208, 8226, 8273, 8277, 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11356, 11362, 11373, 11380, 11387, 11410, 11466, 11474, 11484, 11495, 11508, 11531, 11559, 11570, 11573, 11607, 11620, 11634, 11715, 11720, 11754, 11769, 11787, 11801, 11947, 11971, 11990, 11992, 12031, 12040, 12048, 12080, 12097, 12141, 12147, 12180, 12183, 12194, 12223, 12277, 12278, 12354, 12370, 12384, 12404, 12425, 12427, 12463, 12483, 12488, 12513, 12516, 12538, 12543, 12618, 12641, 12648, 12650, 12682, 12816, 12844, 12860, 12864, 12864, 12874, 12876, 12878, 12912, 12936, 12980, 12981, 13014, 13023, 13036, 13098, 13121, 13125, 13155, 13189, 13202, 13213, 13223, 13254, 13265, 13277, 13297, 13335, 13355, 13374, 13441, 13456, 13461, 13489, 13495, 13538, 13624, 13624, 13650, 13675, 13679, 13680, 13689, 13698, 13784, 13790, 13811, 13823, 13842, 13846, 13846, 13867, 13891, 13899, 13913, 13991, 14018, 14035, 14035, 14039, 14050, 14064, 14070, 14073, 14106, 14129, 14186, 14336, 14341, 14344, 14392, 14419, 14488, 14641, 14642, 14721, 14726, 14729, 14730, 14804, 14805, 14812, 14854, 14856, 14873, 14898, 14908, 14914, 14934, 14942, 15022, 15046, 15104, 15159, 15188, 15192, 15197, 15201, 15215, 15256, 15272, 15273, 15292, 15300, 15322, 15342, 15361, 15372, 15381, 15393, 15411, 15437, 15477, 15483, 15489, 15529, 15581, 15611, 15635, 15639, 15678, 15693, 15707, 15778, 15826, 15858, 15865, 15869, 15873, 15896, 15899, 15913, 15940, 15942, 15958, 15973, 15987, 16004, 16021, 16022, 16023, 16048, 16068, 16107, 16118, 16127, 16136, 16167, 16188, 16190, 16220, 16242, 16249, 16301, 16307, 16315, 16386, 16400, 16414, 16449, 16475, 16516, 16525, 16533, 16533, 16544, 16640, 16675, 16698, 16712, 16717, 16718, 16741, 16745, 16797, 16804, 16872, 16873, 16878, 16896, 16972, 17000, 17008, 17056, 17078, 17090, 17116, 17146, 17165, 17193, 17258, 17283, 17300, 17393, 17403, 17410, 17437, 17437, 17472, 17476, 17478, 17483, 17484, 17498, 17504, 17519, 17528, 17532, 17549, 17551, 17559, 17595, 17606, 17615, 17616, 17658, 17728, 17744, 17757, 17786, 17820, 17824, 17829, 17829, 17845, 17855, 17858, 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21015, 21018, 21034, 21046, 21084, 21138, 21160, 21167, 21237, 21262, 21288, 21341, 21342, 21348, 21348, 21373, 21376, 21425, 21441, 21535, 21552, 21604, 21633, 21639, 21651, 21667, 21707, 21749, 21760, 21780, 21786, 21879, 21954, 21993, 22026, 22044, 22123, 22167, 22244, 22265, 22273, 22278, 22283, 22286, 22291, 22311, 22325, 22353, 22369, 22401, 22408, 22432, 22445, 22474, 22491, 22506, 22507, 22533, 22546, 22593, 22627, 22646, 22663, 22721, 22818, 22826, 22832, 22835, 22902, 22933, 22949, 22959, 23028, 23037, 23056, 23074, 23084, 23102, 23146, 23182, 23188, 23188, 23222, 23262, 23320, 23324, 23333, 23351, 23353, 23370, 23428, 23445, 23512, 23530, 23576, 23599, 23612, 23613, 23616, 23624, 23664, 23715, 23722, 23740, 23752, 23818, 23860, 23929, 23937, 23942, 24005, 24014, 24070, 24075, 24091, 24098, 24114, 24122, 24124, 24147, 24219, 24264, 24291, 24332, 24384, 24401, 24415, 24479, 24486, 24500, 24505, 24522, 24595, 24631, 24638, 24643, 24650, 24669, 24693, 24705, 24772, 24774, 24799, 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28425, 28428, 28447, 28497, 28502, 28557, 28561, 28587, 28676, 28722, 28797, 28832, 28885, 28896, 28924, 28932, 28985, 29009, 29010, 29023, 29064, 29090, 29094, 29121, 29128, 29187, 29188, 29211, 29213, 29280, 29358, 29380, 29424, 29453, 29466, 29472, 29473, 29546, 29578, 29591, 29597, 29612, 29641, 29669, 29672, 29688, 29708, 29715, 29752, 29780, 29783, 29784, 29823, 29834, 29839, 29840, 29848, 29893, 29897, 29927, 29956, 29982, 30001, 30028, 30031, 30048, 30069, 30076, 30096, 30103, 30115, 30125, 30129, 30175, 30204, 30290, 30349, 30364, 30415, 30469, 30546, 30551, 30557, 30584, 30615, 30651, 30711, 30716, 30743, 30755, 30792, 30815, 30864, 30869, 30883, 30902, 30915, 30918, 30928, 30970, 31063, 31075, 31090, 31119, 31139, 31140, 31170, 31237, 31268, 31284, 31285, 31300, 31301, 31306, 31356, 31384, 31397, 31419, 31424, 31440, 31474, 31492, 31508, 31508, 31534, 31577, 31648, 31660, 31661, 31682, 31716, 31717, 31745, 31765, 31831, 31845, 31856, 31889, 31897, 31916, 31928, 31966, 32056, 32085, 32113, 32157, 32180, 32203, 32233, 32263, 32320, 32325, 32348, 32350, 32366, 32373, 32380, 32396, 32403, 32417, 32476, 32493, 32509, 32522, 32539, 32555, 32574, 32585, 32632, 32656, 32691, 32712, 32801, 32822, 32865, 32867, 32877, 32890, 32907, 32920, 32940, 32949, 32950, 32953, 32972, 32992, 33012, 33141, 33215, 33234, 33234, 33271, 33276, 33280, 33314, 33320, 33323, 33328, 33365, 33367, 33384, 33384, 33411, 33437, 33444, 33493, 33513, 33570, 33617, 33622, 33638, 33674, 33678, 33706, 33733, 33735, 33738, 33771, 33871, 33882, 33902, 33905, 33909, 33918, 33952, 33953, 33954, 33957, 33992, 33995, 34063, 34091, 34108, 34119, 34126, 34148, 34162, 34169, 34177, 34192, 34237, 34295, 34300, 34346, 34361, 34362, 34432, 34439, 34447, 34457, 34469, 34500, 34503, 34558, 34577, 34590, 34627, 34640, 34641, 34691, 34695, 34699, 34707, 34782, 34795, 34838, 34875, 34887, 34911, 34983, 35008, 35008, 35014, 35019, 35050, 35080, 35093, 35164, 35200, 35206, 35216, 35240, 35267, 35275, 35304, 35325, 35339, 35357, 35380, 35381, 35384, 35437, 35439, 35495, 35518, 35523, 35529, 35537, 35566, 35569, 35576, 35592, 35598, 35604, 35609, 35639, 35647, 35701, 35709, 35726, 35732, 35746, 35765, 35770, 35773, 35818, 35820, 35827, 35831, 35847, 35859, 35922, 35924, 35926, 35939, 35942, 35947, 35948, 35955, 36030, 36039, 36073, 36081, 36088, 36123, 36131, 36144, 36146, 36173, 36267, 36274, 36278, 36356, 36390, 36418, 36441, 36452, 36493, 36507, 36522, 36542, 36591, 36614, 36617, 36661, 36663, 36671, 36679, 36693, 36715, 36716, 36731, 36756, 36768, 36772, 36796, 36838, 36842, 36844, 36901, 36931, 36933, 36942, 37044, 37095, 37111, 37159, 37161, 37201, 37274, 37300, 37316, 37367, 37372, 37373, 37386, 37389, 37422, 37423, 37482, 37488, 37496, 37515, 37556, 37581, 37583, 37592, 37600, 37620, 37641, 37660, 37667, 37674, 37679, 37683, 37700, 37707, 37733, 37784, 37787, 37795, 37802, 37816, 37833, 37876, 37917, 37918, 37919, 37944, 37951, 37952, 38025, 38064, 38096, 38143, 38162, 38164, 38169, 38195, 38208, 38226, 38240, 38263, 38279, 38282, 38285, 38331, 38353, 38391, 38394, 38417, 38420, 38428, 38431, 38433, 38468, 38476, 38490, 38490, 38493, 38512, 38524, 38527, 38545, 38552, 38601, 38629, 38735, 38744, 38745, 38754, 38812, 38815, 38820, 38883, 38915, 38921, 38940, 38941, 38960, 38983, 38984, 39030, 39112, 39128, 39141, 39161, 39162, 39187, 39195, 39214, 39278, 39280, 39330, 39359, 39380, 39403, 39446, 39451, 39461, 39461, 39474, 39483, 39504, 39508, 39550, 39563, 39577, 39610, 39648, 39655, 39725, 39738, 39747, 39758, 39833, 39851, 39860, 39864, 39917, 40004, 40040, 40067, 40135, 40175, 40231, 40253, 40271, 40317, 40339, 40340, 40353, 40373, 40394, 40428, 40520, 40521, 40527, 40554, 40588, 40625, 40640, 40659, 40681, 40685, 40692, 40723, 40726, 40740, 40758, 40780, 40825, 40829, 40843, 40849, 40853, 40864, 40865, 40870, 40971, 41001, 41009, 41019, 41028, 41059, 41059, 41065, 41164, 41188, 41215, 41249, 41270, 41328, 41343, 41381, 41400, 41420, 41439, 41477, 41482, 41491, 41491, 41509, 41540, 41566, 41612, 41645, 41664, 41664, 41676, 41678, 41680, 41700, 41701, 41702, 41702, 41720, 41828, 41832, 41846, 41846, 41871, 41893, 41965, 42009, 42069, 42118, 42122, 42189, 42200, 42206, 42234, 42268, 42274, 42305, 42314, 42352, 42394, 42411, 42425, 42429, 42429, 42431, 42443, 42443, 42545, 42558, 42566, 42587, 42618, 42628, 42804, 42825, 42856, 42865, 42875, 42884, 42900, 42919, 42937, 42938, 42953, 42963, 43001, 43041, 43047, 43048, 43112, 43119, 43127, 43129, 43132, 43138, 43144, 43175, 43182, 43211, 43221, 43290, 43301, 43303, 43310, 43315, 43350, 43351, 43364, 43423, 43427, 43442, 43461, 43474, 43514, 43515, 43529, 43571, 43578, 43587, 43603, 43669, 43722, 43748, 43834, 43873, 43882, 43884, 43904, 43946, 43949, 43968, 43990, 44043, 44045, 44077, 44083, 44084, 44093, 44108, 44109, 44118, 44133, 44177, 44193, 44213, 44239, 44254, 44268, 44285, 44318, 44330, 44332, 44362, 44367, 44376, 44410, 44431, 44470, 44478, 44486, 44501, 44509, 44533, 44550, 44592, 44622, 44630, 44635, 44697, 44702, 44714, 44747, 44756, 44763, 44773, 44780, 44785, 44812, 44831, 44841, 44846, 44852, 44854, 44877, 44888, 44894, 44914, 44938, 44997, 45006, 45008, 45056, 45070, 45077, 45087, 45193, 45266, 45384, 45386, 45402, 45410, 45442, 45451, 45468, 45505, 45555, 45574, 45579, 45587, 45601, 45621, 45625, 45629, 45638, 45676, 45710, 45724, 45827, 45836, 45863, 45878, 45933, 45957, 45979, 46011, 46023, 46058, 46063, 46082, 46116, 46143, 46155, 46189, 46212, 46236, 46265, 46281, 46284, 46328, 46337, 46340, 46353, 46358, 46371, 46389, 46427, 46480, 46551, 46553, 46564, 46584, 46587, 46600, 46611, 46611, 46621, 46697, 46698, 46730, 46750, 46757, 46773, 46811, 46822, 46831, 46833, 46837, 46848, 46878, 46888, 46919, 46928, 46936, 46961, 46966, 47024, 47025, 47032, 47082, 47083, 47088, 47090, 47099, 47127, 47158, 47166, 47179, 47195, 47234, 47238, 47342, 47376, 47393, 47397, 47442, 47450, 47472, 47521, 47545, 47598, 47605, 47642, 47662, 47696, 47701, 47730, 47745, 47781, 47933, 48023, 48038, 48048, 48057, 48099, 48111, 48112, 48150, 48161, 48171, 48192, 48222, 48283, 48297, 48335, 48346, 48366, 48372, 48392, 48425, 48425, 48446, 48454, 48473, 48607, 48645, 48673, 48691, 48701, 48702, 48705, 48706, 48730, 48732, 48737, 48742, 48766, 48808, 48815, 48819, 48823, 48845, 48868, 48888, 48901, 48910, 48958, 49004, 49045, 49079, 49189, 49229, 49355, 49392, 49396, 49417, 49435, 49435, 49443, 49465, 49476, 49486, 49495, 49505, 49508, 49516, 49573, 49583, 49593, 49599, 49657, 49663, 49721, 49725, 49734, 49737, 49765, 49774, 49803, 49844, 49844, 49853, 49856, 49913, 49918, 49985, 50020, 50032, 50059, 50119, 50142, 50142, 50146, 50154, 50156, 50157, 50198, 50226, 50234, 50237, 50241, 50245, 50246, 50249, 50265, 50282, 50321, 50360, 50397, 50420, 50434, 50443, 50465, 50472, 50474, 50483, 50491, 50511, 50530, 50542, 50558, 50568, 50569, 50591, 50593, 50593, 50603, 50659, 50706, 50720, 50720, 50746, 50763, 50770, 50788, 50797, 50811, 50839, 50899, 50902, 50919, 51016, 51028, 51030, 51048, 51080, 51120, 51129, 51132, 51135, 51157, 51166, 51183, 51219, 51242, 51256, 51266, 51410, 51418, 51422, 51461, 51481, 51550, 51572, 51587, 51599, 51617, 51662, 51692, 51720, 51729, 51739, 51764, 51773, 51799, 51815, 51854, 51871, 51872, 51922, 51944, 51960, 51996, 52003, 52017, 52079, 52094, 52112, 52128, 52136, 52153, 52164, 52193, 52196, 52215, 52217, 52230, 52244, 52251, 52276, 52278, 52288, 52288, 52346, 52405, 52452, 52488, 52511, 52517, 52547, 52548, 52551, 52586, 52603, 52604, 52647, 52670, 52682, 52696, 52828, 52857, 52900, 52917, 52920, 52947, 52947, 52998, 53032, 53040, 53053, 53057, 53077, 53140, 53141, 53184, 53193, 53219, 53229, 53239, 53268, 53276, 53307, 53308, 53365, 53381, 53390, 53395, 53444, 53449, 53458, 53469, 53470, 53487, 53495, 53513, 53560, 53580, 53607, 53629, 53637, 53677, 53688, 53701, 53723, 53734, 53738, 53756, 53765, 53767, 53769, 53771, 53796, 53799, 53870, 53885, 53896, 53904, 53920, 53923, 53975, 53997, 54006, 54039, 54071, 54090, 54096, 54096, 54122, 54123, 54130, 54150, 54150, 54200, 54216, 54234, 54274, 54283, 54310, 54332, 54368, 54411, 54523, 54547, 54549, 54552, 54556, 54566, 54576, 54588, 54588, 54601, 54622, 54624, 54659, 54665, 54670, 54736, 54744, 54747, 54747, 54756, 54847, 54849, 54875, 54895, 54896, 54896, 54904, 54938, 54953, 54964, 55001, 55031, 55061, 55069, 55146, 55150, 55181, 55182, 55197, 55225, 55242, 55267, 55317, 55365, 55378, 55402, 55421, 55443, 55449, 55461, 55504, 55558, 55571, 55596, 55787, 55799, 55872, 55879, 55895, 55929, 55943, 55956, 55993, 56020, 56021, 56025, 56029, 56047, 56067, 56074, 56117, 56119, 56222, 56226, 56260, 56318, 56318, 56320, 56353, 56372, 56386, 56397, 56445, 56445, 56449, 56465, 56491, 56497, 56506, 56545, 56635, 56720, 56742, 56771, 56808, 56815, 56846, 56896, 56900, 56922, 57034, 57034, 57059, 57072, 57074, 57118, 57128, 57130, 57133, 57138, 57139, 57140, 57146, 57155, 57161, 57167, 57189, 57239, 57276, 57358, 57361, 57368, 57387, 57439, 57445, 57451, 57461, 57474, 57480, 57486, 57500, 57535, 57537, 57558, 57587, 57643, 57661, 57668, 57721, 57726, 57753, 57772, 57772, 57790, 57842, 57876, 57929, 57932, 57935, 58001, 58009, 58013, 58043, 58049, 58114, 58119, 58150, 58152, 58158, 58178, 58180, 58208, 58242, 58252, 58255, 58324, 58360, 58380, 58405, 58442, 58448, 58489, 58498, 58512, 58548, 58555, 58607, 58630, 58666, 58700, 58782, 58830, 58855, 58860, 58861, 58904, 58937, 58978, 58982, 58988, 59008, 59044, 59093, 59114, 59132, 59159, 59233, 59239, 59241, 59263, 59284, 59288, 59315, 59338, 59387, 59404, 59447, 59472, 59495, 59538, 59573, 59585, 59594, 59597, 59611, 59669, 59680, 59700, 59741, 59745, 59761, 59791, 59901, 59921, 59961, 60059, 60191, 60192, 60206, 60221, 60255, 60255, 60259, 60309, 60321, 60345, 60352, 60378, 60449, 60450, 60462, 60471, 60477, 60508, 60546] 60589)) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimumAddedCoins [1, 1, 2, 3, 3, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 12, 12, 13, 13, 13, 13, 15, 15, 15, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 23, 23, 25, 26, 26, 28, 28, 29, 31, 32, 33, 33, 33, 35, 35, 37, 37, 37, 37, 38, 38, 38, 38, 39, 40, 40, 40, 40, 44, 44, 44, 44, 45, 46, 46, 49, 49, 52, 53, 53, 53, 54, 55, 55, 56, 57, 57, 57, 58, 58, 59, 59, 59, 60, 60, 60, 60, 60, 61, 63, 63, 63, 63, 63, 64, 64, 64, 65, 65, 66, 67, 67, 67, 67, 68, 68, 69, 69, 69, 70, 70, 71, 72, 72, 73, 73, 73, 74, 75, 75, 76, 76, 77, 78, 78, 78, 78, 79, 81, 81, 82, 83, 83, 84, 85, 85, 86, 86, 87, 87, 88, 88, 89, 89, 89, 89, 90, 90, 91, 91, 91, 92, 92, 92, 94, 95, 96, 96, 98, 99, 99, 99, 100, 101, 101, 102, 102, 102, 102, 104, 104, 105, 106, 107, 108, 108, 108, 108, 108, 109, 110, 110, 112, 112, 113, 114, 115, 116, 116, 116, 117, 118, 120, 120, 121, 121, 123, 124, 124, 125, 126, 128, 128, 129, 129, 130, 130, 130, 131, 131, 131, 131, 132, 134, 135, 136, 137, 137, 137, 138, 138, 139, 139, 140, 140, 141, 142, 143, 143, 143, 144, 144, 145, 145, 145, 147, 149, 150, 150, 150, 150, 152, 154, 155, 155, 156, 156, 158, 159, 160, 160, 160, 162, 162, 163, 166, 167, 167, 168, 169, 170, 170, 170, 171, 171, 172, 172, 172, 174, 174, 175, 175, 175, 176, 177, 177, 177, 178, 178, 179, 180, 180, 181, 182, 182, 182, 183, 183, 184, 184, 185, 185, 186, 186, 187, 187, 187, 188, 188, 188, 189, 192, 192, 192, 194, 194, 196, 197, 197, 198, 199, 199, 201, 201, 202, 202, 204, 204, 204, 206, 206, 207, 207, 208, 208, 208, 209, 209, 210, 210, 210, 211, 212, 212, 212, 212, 212, 213, 213, 213, 213, 213, 213, 213, 214, 214, 215, 215, 216, 216, 217, 217, 217, 217, 218, 218, 218, 219, 220, 220, 220, 221, 222, 222, 223, 225, 225, 225, 226, 226, 227, 227, 228, 228, 228, 228, 230, 230, 232, 232, 232, 233, 233, 234, 234, 234, 235, 235, 235, 235, 236, 236, 238, 239, 239, 240, 240, 240, 241, 242, 243, 243, 243, 243, 243, 244, 245, 246, 246, 250, 250, 250, 251, 251, 251, 252, 252, 253, 253, 254, 254, 255, 257, 257, 258, 260, 261, 262, 262, 262, 263, 263, 264, 264, 264, 265, 265, 267, 267, 268, 268, 269, 269, 269, 271, 271, 271, 272, 273, 275, 276, 276, 276, 276, 278, 279, 280, 280, 280, 280, 281, 282, 282, 283, 283, 283, 285, 286, 286, 286, 286, 286, 286, 287, 288, 288, 288, 289, 289, 290, 290, 291, 292, 292, 292, 294, 294, 295, 295, 295, 295, 296, 298, 298, 298, 299, 299, 299, 299, 299, 301, 301, 301, 301, 302, 303, 303, 304, 304, 305, 305, 305, 305, 306, 306, 306, 307, 307, 308, 309, 309, 309, 309, 310, 310, 311, 312, 314, 316, 317, 318, 319, 319, 320, 320, 320, 320, 321, 321, 321, 323, 323, 324, 324, 324, 324, 325, 325, 326, 327, 328, 328, 329, 329, 330, 330, 332, 332, 333, 333, 333, 333, 334, 334, 334, 334, 334, 335, 335, 336, 336, 336, 337, 337, 338, 338, 338, 339, 339, 339, 340, 341, 342, 342, 343, 343, 343, 343, 344, 346, 349, 350, 351, 354, 355, 355, 355, 355, 356, 357, 357, 357, 357, 357, 358, 359, 360, 360, 361, 363, 364, 364, 367, 367, 369, 369, 369, 370, 370, 371, 373, 374, 374, 375, 375, 376, 377, 377, 380, 381, 382, 382, 383, 383, 386, 387, 387, 388, 388, 388, 389, 389, 390, 391, 391, 391, 392, 392, 392, 393, 393, 395, 395, 396, 396, 396, 397, 397, 398, 398, 398, 399, 400, 400, 400, 400, 401, 401, 401, 401, 401, 402, 403, 403, 404, 404, 406, 406, 407, 408, 408, 408, 409, 409, 410, 411, 411, 412, 412, 412, 413, 413, 414, 414, 415, 415, 415, 416, 418, 419, 419, 420, 420, 421, 421, 421, 421, 422, 423, 424, 424, 425, 426, 426, 426, 428, 429, 430, 430, 430, 431, 431, 433, 433, 433, 433, 434, 435, 435, 437, 439, 440, 441, 442, 442, 442, 442, 443, 443, 444, 445, 447, 448, 449, 449, 450, 450, 450, 451, 451, 452, 455, 456, 456, 457, 457, 458, 459, 460, 460, 463, 463, 463, 463, 464, 466, 469, 470, 470, 470, 471, 471, 471, 472, 475, 475, 475, 476, 476, 477, 478, 478, 480, 481, 481, 482, 484, 485, 485, 487, 488, 488, 488, 491, 491, 491, 492, 494, 495, 495, 495, 496, 498, 499, 499, 499, 499, 500, 500, 500, 500, 501, 501, 501, 502, 502, 502, 502, 504, 504, 507, 508, 508, 508, 508, 508, 509, 509, 509, 510, 511, 511, 511, 511, 511, 512, 512, 513, 513, 515, 515, 516, 516, 516, 518, 518, 519, 519, 519, 519, 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19549, 19549, 19550, 19550, 19550, 19550, 19551, 19552, 19552, 19552, 19553, 19554, 19554, 19554, 19554, 19554, 19555, 19556, 19556, 19557, 19558, 19558, 19558, 19559, 19562, 19563, 19563, 19563, 19564, 19564, 19565, 19565, 19566, 19567, 19570, 19570, 19571, 19571, 19572, 19572, 19572, 19572, 19573, 19573, 19575, 19575, 19575, 19577, 19579, 19580, 19580, 19582, 19582, 19582, 19582, 19583, 19586, 19587, 19587, 19589, 19589, 19590, 19590, 19591, 19591, 19592, 19593, 19593, 19593, 19594, 19594, 19594, 19595, 19595, 19595, 19595, 19596, 19597, 19598, 19600, 19601, 19601, 19601, 19602, 19602, 19603, 19603, 19604, 19604, 19604, 19604, 19605, 19605, 19606, 19606, 19606, 19607, 19607, 19607, 19608, 19608, 19608, 19610, 19611, 19612, 19614, 19614, 19615, 19616, 19616, 19616, 19617, 19618, 19619, 19619, 19619, 19620, 19620, 19620, 19622, 19622, 19623, 19624, 19624, 19625, 19625, 19626, 19626, 19626, 19626, 19629, 19630, 19631, 19633, 19635, 19635, 19635, 19637, 19637, 19637, 19637, 19637, 19637, 19638, 19638, 19639, 19640, 19641, 19641, 19641, 19642, 19642, 19643, 19644, 19646, 19647, 19648, 19649, 19649, 19649, 19650, 19651, 19651, 19651, 19651, 19655, 19655, 19656, 19656, 19658, 19658, 19659, 19659, 19659, 19660, 19662, 19662, 19662, 19663, 19664, 19664, 19666, 19666, 19666, 19667, 19667, 19668, 19671, 19672, 19672, 19673, 19673, 19674, 19674, 19674, 19675, 19675, 19676, 19677, 19678, 19679, 19680, 19682, 19682, 19683, 19684, 19684, 19684, 19684, 19685, 19685, 19686, 19686, 19686, 19686, 19686, 19687, 19688, 19688, 19689, 19690, 19691, 19691, 19692, 19693, 19693, 19693, 19694, 19694, 19695, 19696, 19696, 19696, 19696, 19697, 19697, 19697, 19697, 19698, 19699, 19699, 19702, 19703, 19704, 19706, 19706, 19707, 19709, 19709, 19709, 19710, 19711, 19712, 19712, 19713, 19713, 19714, 19714, 19715, 19716, 19720, 19720, 19720, 19720, 19722, 19722, 19723, 19723, 19723, 19724, 19725, 19725, 19726, 19727, 19727, 19731, 19731, 19731, 19731, 19731, 19732, 19734, 19734, 19734, 19735, 19735, 19735, 19736, 19737, 19738, 19738, 19739, 19739, 19740, 19740, 19740, 19741, 19744, 19745, 19745, 19745, 19745, 19745, 19747, 19747, 19747, 19749, 19749, 19751, 19751, 19752, 19753, 19753, 19753, 19754, 19754, 19757, 19758, 19759, 19759, 19759, 19759, 19760, 19760, 19760, 19761, 19761, 19763, 19763, 19764, 19764, 19765, 19767, 19767, 19767, 19768, 19768, 19769, 19769, 19769, 19772, 19773, 19773, 19774, 19774, 19774, 19775, 19775, 19776, 19777, 19777, 19777, 19778, 19778, 19778, 19781, 19781, 19783, 19784, 19784, 19784, 19784, 19785, 19786, 19786, 19788, 19789, 19790, 19790, 19792, 19792, 19793, 19793, 19793, 19793, 19793, 19794, 19795, 19795, 19795, 19796, 19796, 19797, 19799, 19800, 19801, 19802, 19802, 19802, 19804, 19804, 19804, 19805, 19805, 19805, 19806, 19807, 19807, 19808, 19808, 19809, 19809, 19809, 19809, 19809, 19811, 19812, 19812, 19812, 19812, 19813, 19814, 19814, 19815, 19815, 19817, 19818, 19818, 19818, 19818, 19819, 19819, 19819, 19820, 19820, 19821, 19822, 19822, 19822, 19823, 19824, 19824, 19825, 19825, 19826, 19827, 19827, 19828, 19828, 19829, 19829, 19829, 19830, 19830, 19830, 19831, 19832, 19833, 19833, 19835, 19835, 19835, 19837, 19837, 19838, 19838, 19839, 19841, 19842, 19843, 19843, 19846, 19846, 19848, 19849, 19850, 19850, 19851, 19852, 19852, 19853, 19853, 19854, 19854, 19855, 19855, 19857, 19858, 19859, 19860, 19860, 19862, 19862, 19863, 19863, 19864, 19865, 19866, 19867, 19868, 19869, 19870, 19871, 19872, 19873, 19873, 19873, 19873, 19873, 19875, 19875, 19875, 19876, 19876, 19876, 19876, 19876, 19878, 19878, 19878, 19879, 19880, 19881, 19881, 19882, 19882, 19883, 19883, 19883, 19884, 19884, 19885, 19885, 19886, 19887, 19887, 19889, 19890, 19891, 19892, 19892, 19893, 19894, 19894, 19894, 19894, 19895, 19895, 19896, 19896, 19900, 19900, 19900, 19901, 19901, 19902, 19902, 19903, 19904, 19904, 19906, 19906, 19907, 19907, 19907, 19908, 19908, 19909, 19909, 19910, 19910, 19910, 19911, 19911, 19911, 19911, 19912, 19913, 19913, 19914, 19914, 19916, 19916, 19917, 19917, 19918, 19918, 19919, 19919, 19919, 19919, 19919, 19920, 19920, 19921, 19922, 19922, 19922, 19922, 19923, 19924, 19925, 19926, 19926, 19927, 19929, 19929, 19930, 19930, 19931, 19931, 19932, 19932, 19933, 19933, 19933, 19934, 19934, 19935, 19935, 19936, 19937, 19937, 19938, 19938, 19939, 19939, 19941, 19942, 19943, 19944, 19944, 19945, 19945, 19947, 19947, 19948, 19948, 19949, 19949, 19949, 19950, 19950, 19951, 19952, 19952, 19954, 19954, 19954, 19955, 19955, 19955, 19956, 19956, 19957, 19957, 19957, 19960, 19960, 19961, 19961, 19961, 19961, 19961, 19961, 19961, 19962, 19963, 19964, 19964, 19965, 19965, 19965, 19966, 19966, 19966, 19966, 19967, 19967, 19967, 19968, 19970, 19970, 19971, 19972, 19974, 19974, 19974, 19974, 19975, 19976, 19976, 19976, 19976, 19976, 19977, 19977, 19977, 19981, 19983, 19984, 19984, 19984, 19985, 19985, 19988, 19989, 19990, 19990, 19991, 19991, 19992, 19992, 19992, 19993, 19993, 19995, 19996, 19996, 19997, 19999, 19999, 20000, 20000, 20001, 20001, 20005, 20006, 20007, 20008, 20009, 20009, 20010, 20010, 20016, 20016, 20017, 20017, 20017, 20018, 20019, 20019, 20019, 20020, 20020, 20020, 20022, 20022, 20024, 20024, 20025, 20025, 20025, 20027, 20027, 20028, 20028, 20028, 20029, 20030, 20031, 20031, 20031, 20032, 20032, 20033, 20035, 20036, 20037, 20038, 20038, 20040, 20040, 20042, 20044, 20044, 20044, 20046, 20047, 20047, 20048, 20048, 20049, 20050, 20050, 20051, 20052, 20053, 20053, 20054, 20056, 20057, 20058, 20059, 20060, 20060, 20060, 20060, 20061, 20061, 20063, 20064, 20065, 20066, 20066, 20066, 20066, 20066, 20066, 20067, 20068, 20068, 20069, 20069, 20070, 20070, 20070, 20071, 20071, 20072, 20072, 20072, 20073, 20074, 20074, 20075, 20075, 20077, 20077, 20080, 20080, 20080, 20082, 20082, 20083, 20083, 20084, 20086, 20087, 20087, 20088, 20089, 20091, 20091, 20092, 20092, 20093, 20094, 20096, 20096, 20096, 20097, 20097, 20098, 20098, 20099, 20099, 20100, 20101, 20102, 20103, 20103, 20104, 20104, 20106, 20106, 20106, 20107, 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20193, 20193, 20193, 20194, 20194, 20194, 20195, 20196, 20196, 20198, 20198, 20198, 20198, 20200, 20200, 20200, 20200, 20200, 20201, 20202, 20203, 20204, 20206, 20206, 20207, 20208, 20209, 20210, 20210, 20211, 20211, 20211, 20211, 20212, 20212, 20213, 20213, 20213, 20216, 20218, 20218, 20218, 20219, 20219, 20219, 20219, 20219, 20220, 20220, 20222, 20222, 20222, 20222, 20224, 20224, 20224, 20225, 20226, 20226, 20226, 20227, 20227, 20229, 20231, 20231, 20232, 20232, 20233, 20233, 20234, 20235, 20235, 20236, 20236, 20236, 20236, 20237, 20240, 20240, 20241, 20241, 20242, 20242, 20242, 20243, 20243, 20244, 20244, 20244, 20244, 20245, 20246, 20247, 20248, 20248, 20250, 20250, 20251, 20251, 20251, 20252, 20253, 20255, 20255, 20255, 20255, 20256, 20257, 20257, 20257, 20257, 20257, 20258, 20258, 20260, 20260, 20261, 20261, 20262, 20262, 20263, 20264, 20265, 20265, 20265, 20265, 20265, 20265, 20266, 20266, 20267, 20267, 20267, 20267, 20268, 20268, 20269, 20269, 20269, 20269, 20270, 20270, 20270, 20271, 20272, 20272, 20272, 20273, 20273, 20273, 20274, 20274, 20275, 20275, 20275, 20276, 20277, 20277, 20278, 20279, 20279, 20281, 20283, 20284, 20285, 20285, 20285, 20286, 20287, 20287, 20289, 20290, 20290, 20290, 20291, 20292, 20293, 20293, 20294, 20294, 20295, 20296, 20296, 20297, 20299, 20299, 20299, 20300, 20302, 20302, 20302, 20305, 20306, 20306, 20309, 20310, 20310, 20310, 20310, 20311, 20311, 20312, 20314, 20314, 20315, 20315, 20316, 20317, 20317, 20318, 20319, 20320, 20320, 20321, 20323, 20324, 20325, 20325, 20325, 20326, 20326, 20326, 20326, 20327, 20327, 20327, 20328, 20328, 20328, 20328, 20329, 20330, 20332, 20336, 20336, 20336, 20336, 20337, 20337, 20338, 20340, 20341, 20342, 20343, 20343, 20343, 20345, 20345, 20346, 20346, 20346, 20347, 20347, 20347, 20348, 20349, 20349, 20350, 20351, 20352, 20352, 20353, 20353, 20353, 20354, 20355, 20356, 20357, 20359, 20359, 20359, 20360, 20360, 20361, 20361, 20362, 20362, 20364, 20366, 20367, 20368, 20369, 20369, 20369, 20369, 20370, 20370, 20370, 20371, 20371, 20373, 20373, 20375, 20375, 20378, 20379, 20380, 20380, 20383, 20384, 20384, 20384, 20387, 20387, 20387, 20388, 20388, 20389, 20392, 20392, 20393, 20393, 20394, 20394, 20394, 20394, 20395, 20396, 20396, 20397, 20397, 20398, 20400, 20401, 20402, 20402, 20403, 20403, 20405, 20408, 20408, 20408, 20408, 20410, 20410, 20410, 20411, 20411, 20412, 20412, 20413, 20413, 20414, 20415, 20416, 20417, 20419, 20419, 20419, 20421, 20421, 20421, 20422, 20422, 20423, 20424, 20424, 20425, 20425, 20426, 20427, 20427, 20428, 20428, 20429, 20429, 20430, 20430, 20430, 20431, 20432, 20432, 20432, 20432, 20433, 20434, 20435, 20436, 20436, 20437, 20438, 20438, 20438, 20438, 20438, 20438, 20439, 20439, 20439, 20439, 20441, 20442, 20442, 20442, 20443, 20443, 20444, 20444, 20444, 20446, 20447, 20447, 20447, 20448, 20448, 20449, 20449, 20449, 20450, 20450, 20451, 20452, 20452, 20452, 20453, 20453, 20455, 20455, 20455, 20455, 20456, 20458, 20458, 20458, 20460, 20461, 20461, 20462, 20463, 20463, 20464, 20465, 20466, 20468, 20468, 20468, 20470, 20470, 20472, 20472, 20473, 20474, 20474, 20474, 20474, 20476, 20478, 20479, 20480, 20481, 20482, 20482, 20482, 20483, 20484, 20484, 20484, 20485, 20486, 20486, 20486, 20487, 20488, 20488, 20489, 20489, 20491, 20492, 20493, 20494, 20495, 20497, 20497, 20497, 20498, 20498, 20501, 20501, 20501, 20502, 20503, 20503, 20503, 20504, 20504, 20504, 20504, 20505, 20505, 20506, 20506, 20506, 20506, 20506, 20508, 20508, 20511, 20512, 20512, 20512, 20512, 20512, 20513, 20513, 20513, 20514, 20514, 20516, 20516, 20516, 20517, 20517, 20517, 20517, 20517, 20518, 20518, 20519, 20519, 20519, 20519, 20521, 20521, 20522, 20523, 20523, 20523, 20524, 20525, 20525, 20525, 20525, 20525, 20526, 20527, 20528, 20529, 20529, 20530, 20531, 20532, 20533, 20534, 20536, 20537, 20538, 20538, 20538, 20539, 20540, 20540, 20541, 20541, 20541, 20541, 20542, 20543, 20543, 20543, 20545, 20545, 20545, 20546, 20546, 20549, 20549, 20551, 20551, 20551, 20551, 20552, 20552, 20553, 20553, 20553, 20553, 20554, 20554, 20554, 20555, 20556, 20556, 20557, 20557, 20558, 20558, 20559, 20560, 20560, 20561, 20562, 20562, 20562, 20562, 20563, 20564, 20565, 20565, 20565, 20566, 20566, 20566, 20567, 20567, 20567, 20567, 20568, 20568, 20570, 20571, 20571, 20572, 20572, 20572, 20572, 20572, 20574, 20574, 20576, 20579, 20579, 20580, 20581, 20581, 20581, 20582, 20584, 20585, 20586, 20587, 20588, 20588, 20589, 20589, 20589, 20590, 20590, 20590, 20591, 20591, 20591, 20593, 20593, 20593, 20596, 20596, 20598, 20598, 20598, 20598, 20598, 20598, 20599, 20600, 20600, 20600, 20601, 20602, 20602, 20603, 20604, 20604, 20604, 20604, 20605, 20605, 20606, 20606, 20606, 20607, 20609, 20610, 20611, 20612, 20613, 20614, 20614, 20614, 20614, 20614, 20616, 20616, 20617, 20617, 20618, 20620, 20621, 20621, 20621, 20622, 20623, 20623, 20623, 20623, 20624, 20625, 20625, 20626, 20626, 20626, 20626, 20628, 20628, 20629, 20629, 20631, 20631, 20631, 20632, 20634, 20635, 20635, 20635, 20636, 20636, 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36636, 36636, 36638, 36638, 36638, 36639, 36642, 36643, 36643, 36643, 36644, 36644, 36644, 36645, 36645, 36645, 36646, 36646, 36647, 36648, 36649, 36649, 36649, 36649, 36649, 36649, 36650, 36650, 36651, 36651, 36651] 36652)) + +test8 :: Test +test8 = TestCase (assertEqual "for (minimumAddedCoins [1, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 7, 7, 7, 9, 10, 10, 11, 12, 13, 14, 14, 19, 20, 20, 20, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 27, 28, 28, 28, 30, 31, 32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 36, 39, 39, 40, 40, 41, 41, 41, 42, 42, 45, 45, 46, 47, 48, 48, 49, 51, 51, 52, 52, 52, 53, 53, 54, 55, 55, 55, 56, 56, 57, 57, 58, 59, 60, 60, 61, 61, 61, 61, 64, 64, 65, 65, 66, 66, 66, 67, 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 69, 70, 71, 71, 72, 73, 73, 73, 73, 74, 75, 75, 76, 76, 77, 78, 79, 80, 80, 80, 82, 82, 82, 84, 86, 86, 86, 87, 87, 87, 88, 88, 88, 88, 89, 89, 89, 89, 89, 90, 90, 91, 91, 92, 93, 93, 93, 93, 94, 95, 95, 96, 97, 98, 98, 98, 99, 100, 100, 100, 103, 104, 105, 106, 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44681, 44681, 44683, 44684, 44684, 44684, 44684, 44684, 44685, 44685, 44687, 44687, 44688, 44689, 44689, 44689, 44690, 44690, 44692, 44692, 44694, 44694, 44695, 44696, 44698, 44699, 44700, 44700, 44700, 44700, 44700, 44701, 44701, 44701, 44703, 44703, 44704, 44705, 44705, 44706, 44707, 44708, 44708, 44708, 44709, 44711, 44711, 44712, 44712, 44712, 44713, 44713, 44713, 44714, 44715, 44715, 44716, 44716, 44717, 44717, 44717, 44718, 44719, 44719, 44720, 44720, 44720, 44720, 44720, 44720, 44720, 44721, 44722, 44725, 44726, 44727, 44728, 44728, 44728, 44728, 44730, 44730, 44731, 44732, 44733, 44733, 44733, 44735, 44735, 44736, 44736, 44737, 44739, 44740, 44740, 44742, 44742, 44742, 44743, 44743, 44744, 44745, 44745, 44746, 44747, 44747, 44747, 44747, 44748, 44748, 44749, 44749, 44751, 44751, 44752, 44753, 44753, 44753, 44753, 44754, 44757, 44758, 44759, 44759, 44759, 44760, 44760, 44761, 44761, 44761, 44761, 44762, 44762, 44762, 44762, 44764, 44764, 44764, 44764, 44765, 44765, 44765, 44767, 44768, 44768, 44770, 44770, 44770, 44770, 44771, 44773, 44773, 44773, 44774, 44774, 44775, 44776, 44778, 44778, 44779, 44780, 44780, 44780, 44780, 44782, 44782, 44782, 44783, 44784, 44784, 44785, 44787, 44788, 44789, 44790, 44790, 44791, 44792, 44792, 44793, 44793, 44793, 44793, 44795, 44795, 44796, 44798, 44799, 44799, 44799, 44800, 44801, 44801, 44801, 44802, 44803, 44804, 44804, 44805, 44805, 44805, 44806, 44806, 44807, 44807, 44808, 44808, 44808, 44808, 44809, 44809, 44810, 44810, 44811, 44812, 44813, 44814, 44814, 44814, 44814, 44814, 44815, 44816, 44817, 44817, 44817, 44818, 44819, 44820, 44821, 44821, 44821, 44821, 44821, 44821, 44822, 44822, 44823, 44823, 44823, 44824, 44824, 44824, 44824, 44825, 44825, 44825, 44826, 44826, 44827, 44828, 44828, 44828, 44828, 44828, 44828, 44830, 44831, 44832, 44832, 44832, 44832, 44832, 44832, 44833, 44834, 44836, 44836, 44837, 44838, 44838, 44839, 44839, 44840, 44841, 44843, 44844, 44844, 44844, 44846, 44846, 44846, 44846, 44848, 44849, 44850, 44850, 44850, 44854, 44855, 44855, 44856, 44858, 44859, 44859, 44860, 44861, 44861, 44861, 44861, 44861, 44862, 44862, 44864, 44864, 44865, 44866, 44866, 44866, 44866, 44867, 44867, 44867, 44867, 44868, 44869, 44869, 44869, 44870, 44872, 44873, 44873, 44874, 44874, 44874, 44875, 44875, 44876, 44876, 44876, 44878, 44878, 44879, 44880, 44881, 44881, 44881, 44881, 44881, 44883, 44883, 44884, 44885, 44885, 44885, 44886, 44887, 44887, 44887, 44888, 44888, 44888, 44888, 44889, 44889, 44890, 44891, 44891, 44891, 44891, 44891, 44892, 44892, 44894, 44895, 44895, 44895, 44895, 44896, 44898, 44898, 44899, 44899, 44899, 44900, 44901, 44902, 44903, 44903, 44904, 44904, 44904, 44904, 44905, 44907, 44907, 44908, 44909, 44910, 44910, 44911, 44912, 44915, 44916, 44916, 44916, 44918, 44918, 44918, 44920, 44921, 44921, 44922, 44923, 44924, 44924, 44924, 44924, 44924, 44925, 44926, 44926, 44927, 44928, 44929, 44929, 44931, 44932, 44932, 44932, 44933, 44935, 44935, 44935, 44935, 44936, 44936, 44936, 44936, 44940, 44942, 44942, 44942, 44943, 44946, 44947, 44948, 44949, 44949, 44950, 44950, 44950, 44951, 44951, 44953, 44955, 44957, 44957, 44958, 44958, 44959, 44959, 44959, 44960, 44961, 44961, 44963, 44964, 44964, 44964, 44964, 44965, 44967, 44970, 44971, 44971, 44972, 44972, 44974, 44976, 44976, 44976, 44978, 44978, 44979, 44979, 44979, 44980, 44980, 44980, 44981, 44982, 44983, 44984, 44985, 44986, 44987, 44988, 44989, 44989, 44989, 44991, 44992, 44993, 44993, 44993, 44993, 44996, 44997, 44998, 44999, 44999, 44999, 45001, 45003, 45004, 45004, 45005, 45005, 45005, 45006, 45007, 45007, 45008, 45009, 45010, 45010, 45011, 45011, 45011, 45012, 45014, 45015, 45015, 45016, 45016, 45017, 45017, 45017, 45019, 45019, 45020, 45021, 45021, 45022, 45022, 45023, 45023, 45024, 45024, 45026, 45027, 45028, 45028, 45029, 45029, 45030, 45030, 45030, 45031, 45031, 45031, 45034, 45035, 45036, 45037, 45037, 45038, 45038, 45040, 45041, 45042, 45043, 45043, 45043, 45044, 45045, 45045, 45045, 45045, 45045, 45046, 45046, 45047, 45047, 45047, 45047, 45049, 45050, 45050, 45050, 45050, 45051, 45051, 45052, 45052, 45052, 45055, 45056, 45056, 45057, 45057, 45058, 45058, 45058, 45059, 45059, 45060, 45062, 45062, 45062, 45062, 45062, 45062, 45063, 45063, 45064, 45065, 45066, 45067, 45067, 45069, 45069, 45070, 45071, 45071, 45072, 45072, 45072, 45073, 45074, 45075, 45075, 45076, 45079, 45079, 45079, 45080, 45081, 45081, 45081, 45081, 45081, 45082, 45082, 45082, 45082, 45083, 45083, 45083, 45083, 45085, 45086, 45086, 45087, 45087, 45088, 45088, 45089, 45089, 45089, 45090, 45090, 45092, 45093, 45096, 45097, 45097, 45097, 45099, 45099, 45100, 45100, 45102, 45104, 45105, 45106, 45106, 45106, 45107, 45108, 45109, 45109, 45109, 45110, 45110, 45111, 45111, 45112, 45113, 45113, 45113, 45113, 45113, 45113, 45115, 45115, 45115, 45116, 45117, 45117, 45118, 45119, 45119, 45120, 45120, 45120, 45120, 45120, 45122, 45122, 45122, 45122, 45124, 45126, 45126, 45126, 45128, 45128, 45129, 45129, 45130, 45131, 45131, 45131, 45131, 45132, 45132, 45132, 45133, 45133, 45133, 45134, 45134, 45134, 45135, 45136, 45136, 45136, 45137, 45137, 45139, 45140, 45140, 45141, 45142, 45142, 45142, 45143, 45143, 45144, 45144, 45144, 45145, 45146, 45147, 45147, 45147, 45151, 45151, 45152, 45152, 45153, 45153, 45154, 45154, 45154, 45154, 45156, 45156, 45158, 45158, 45158, 45159, 45159, 45161, 45162, 45163, 45167, 45168, 45168, 45171, 45173, 45173, 45173, 45174, 45174, 45175, 45175, 45176, 45177, 45177, 45178, 45178, 45178, 45180, 45180, 45181, 45182, 45182, 45183, 45184, 45184, 45184, 45185, 45185, 45186, 45186, 45186, 45188, 45188, 45188, 45188, 45188, 45189, 45189, 45189, 45189, 45190, 45190, 45190, 45193, 45194, 45194, 45195, 45195, 45196, 45196, 45196, 45196, 45197, 45197, 45198, 45198, 45198, 45199, 45199, 45199, 45200, 45201, 45201, 45201, 45201, 45202, 45202, 45203, 45203, 45204, 45206, 45206, 45206, 45206, 45207, 45207, 45209, 45210, 45211, 45212, 45212, 45213, 45213, 45213, 45214, 45216, 45216, 45217, 45217, 45217, 45217, 45217, 45219, 45220, 45220, 45221, 45222, 45222, 45222, 45222, 45223, 45223, 45223, 45223, 45224, 45224, 45225, 45225, 45225, 45225, 45226, 45226, 45226, 45226, 45226, 45227, 45227, 45228, 45228, 45229, 45229, 45229, 45230, 45230, 45230, 45231, 45231, 45233, 45233, 45233, 45233, 45235, 45237, 45238, 45238, 45238, 45239, 45240, 45240, 45241, 45241, 45241, 45241, 45242, 45243, 45243, 45243, 45244, 45244, 45247, 45247, 45248, 45248, 45248, 45249, 45250, 45250, 45251, 45251, 45251, 45252, 45252, 45252, 45253, 45253, 45253, 45253, 45253, 45253, 45254, 45254, 45255, 45256, 45256, 45257, 45257, 45257, 45257, 45257, 45257, 45258, 45258, 45258, 45258, 45259, 45259, 45259, 45260, 45261, 45261, 45262, 45262, 45262, 45264, 45265, 45266, 45267, 45267, 45268, 45268, 45269, 45270, 45271, 45272, 45275, 45275, 45276, 45276, 45276, 45278, 45278, 45278, 45280, 45281, 45283, 45283, 45284, 45284, 45284, 45286, 45286, 45286, 45286, 45287, 45287, 45288, 45288, 45289, 45289, 45290, 45290, 45290, 45290, 45291, 45291, 45291, 45291, 45291, 45294, 45295, 45295, 45295, 45295, 45295, 45296, 45297, 45297, 45297, 45298, 45300, 45300, 45300, 45301, 45302, 45302, 45302, 45302, 45304, 45304, 45304, 45305, 45306, 45306, 45307, 45307, 45308, 45308, 45310, 45310, 45310, 45310, 45311, 45312, 45312, 45314, 45314, 45314, 45315, 45315, 45316, 45316, 45317, 45317, 45317, 45317, 45317, 45319, 45320, 45321, 45321, 45322, 45322, 45323, 45323, 45323, 45323, 45324, 45325, 45326, 45326, 45326, 45327, 45327, 45328, 45328, 45328, 45328, 45329, 45329, 45330, 45330, 45332, 45332, 45332, 45332, 45334, 45335, 45336, 45336, 45338, 45338, 45339, 45339, 45340, 45342, 45344, 45345, 45345, 45346, 45346, 45347, 45347, 45348, 45348, 45350, 45350, 45350, 45350, 45350, 45351, 45352, 45353, 45354, 45354, 45355, 45355, 45355, 45356, 45356, 45357, 45357, 45357, 45358, 45358, 45358, 45361, 45361, 45361, 45362, 45362, 45363, 45363, 45364, 45364, 45365, 45366, 45367, 45367, 45367, 45367, 45368, 45369, 45369, 45370, 45370, 45370, 45371, 45371, 45371, 45372, 45372, 45373, 45373, 45373, 45374, 45374, 45374, 45375, 45375, 45376, 45377, 45377, 45377, 45378, 45378, 45379, 45379, 45379, 45379, 45380, 45382, 45382, 45382, 45383, 45384, 45384, 45384, 45385, 45385, 45385, 45386, 45386, 45387, 45387, 45387, 45387, 45388, 45388, 45389, 45389, 45390, 45391, 45392, 45392, 45392, 45393, 45393, 45393, 45394, 45396, 45396, 45396, 45396, 45398, 45399, 45400, 45400, 45400, 45401, 45401, 45401, 45401, 45402, 45403, 45403, 45404, 45406, 45406, 45407, 45408, 45408, 45410, 45412, 45413, 45413, 45413, 45414, 45415, 45416, 45416, 45419, 45420, 45421, 45421, 45421, 45421, 45422, 45422, 45422, 45422, 45423, 45423, 45424, 45424, 45425, 45426, 45426, 45426, 45428, 45428, 45429, 45429, 45429, 45429, 45430, 45431, 45432, 45432, 45432, 45432, 45433, 45433, 45433, 45434, 45434, 45434, 45435, 45436, 45436, 45437, 45438, 45438, 45438, 45439, 45439, 45439, 45440, 45440, 45440, 45441, 45441, 45442, 45444, 45445, 45445, 45445, 45446, 45447, 45447, 45448, 45448, 45448, 45449, 45449, 45449, 45449, 45451, 45452, 45452, 45453, 45454, 45455, 45455, 45456, 45456, 45456, 45457, 45457, 45457, 45458, 45458, 45458, 45459, 45459, 45459, 45459, 45459, 45459, 45461, 45461, 45462, 45462, 45465, 45466, 45467, 45467, 45468, 45468, 45468, 45468, 45470, 45470, 45471, 45472, 45473, 45474, 45475, 45476, 45476, 45478, 45478, 45478, 45479, 45479, 45479, 45480, 45480, 45480, 45482, 45482, 45482, 45482, 45482, 45483, 45483, 45483] 45483)," 0 (minimumAddedCoins [1, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 7, 7, 7, 9, 10, 10, 11, 12, 13, 14, 14, 19, 20, 20, 20, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 27, 28, 28, 28, 30, 31, 32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 36, 39, 39, 40, 40, 41, 41, 41, 42, 42, 45, 45, 46, 47, 48, 48, 49, 51, 51, 52, 52, 52, 53, 53, 54, 55, 55, 55, 56, 56, 57, 57, 58, 59, 60, 60, 61, 61, 61, 61, 64, 64, 65, 65, 66, 66, 66, 67, 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 69, 70, 71, 71, 72, 73, 73, 73, 73, 74, 75, 75, 76, 76, 77, 78, 79, 80, 80, 80, 82, 82, 82, 84, 86, 86, 86, 87, 87, 87, 88, 88, 88, 88, 89, 89, 89, 89, 89, 90, 90, 91, 91, 92, 93, 93, 93, 93, 94, 95, 95, 96, 97, 98, 98, 98, 99, 100, 100, 100, 103, 104, 105, 106, 107, 107, 108, 108, 111, 111, 111, 111, 112, 112, 112, 113, 113, 113, 113, 114, 115, 115, 115, 116, 116, 117, 117, 117, 117, 117, 118, 118, 121, 122, 122, 122, 122, 123, 123, 123, 123, 123, 125, 125, 125, 127, 127, 128, 129, 130, 131, 131, 131, 132, 133, 135, 138, 138, 138, 139, 139, 139, 140, 141, 143, 143, 144, 144, 144, 145, 147, 147, 148, 148, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, 154, 154, 157, 157, 157, 158, 158, 159, 159, 160, 160, 160, 161, 161, 162, 162, 164, 164, 164, 166, 166, 167, 167, 168, 168, 168, 168, 169, 169, 170, 170, 171, 171, 171, 172, 172, 172, 172, 173, 173, 173, 173, 176, 176, 176, 177, 177, 177, 177, 178, 178, 178, 179, 179, 180, 180, 180, 181, 181, 181, 181, 182, 182, 184, 185, 186, 187, 187, 187, 187, 188, 190, 191, 191, 191, 191, 192, 193, 194, 194, 195, 195, 195, 196, 196, 197, 197, 197, 197, 198, 199, 200, 201, 202, 202, 202, 205, 205, 205, 206, 206, 206, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 213, 213, 213, 213, 213, 213, 213, 213, 216, 216, 216, 217, 217, 217, 218, 220, 221, 222, 222, 222, 223, 224, 224, 225, 226, 226, 227, 228, 228, 230, 230, 230, 231, 231, 231, 233, 234, 234, 234, 234, 235, 235, 236, 236, 236, 236, 238, 238, 239, 239, 241, 241, 242, 242, 245, 245, 245, 246, 247, 248, 249, 249, 250, 250, 251, 251, 251, 251, 252, 252, 252, 253, 254, 256, 256, 257, 257, 258, 258, 258, 258, 259, 260, 261, 262, 263, 263, 263, 263, 264, 264, 266, 266, 266, 267, 267, 268, 268, 268, 269, 269, 271, 271, 275, 275, 275, 275, 275, 276, 277, 277, 277, 277, 277, 277, 278, 278, 279, 279, 280, 280, 280, 281, 281, 281, 281, 282, 282, 282, 282, 282, 283, 283, 284, 285, 285, 285, 285, 287, 287, 288, 290, 290, 290, 291, 292, 292, 293, 294, 294, 295, 296, 297, 297, 297, 297, 297, 299, 299, 299, 300, 300, 300, 300, 300, 301, 302, 302, 304, 304, 305, 305, 305, 305, 306, 306, 307, 307, 307, 308, 308, 309, 309, 309, 310, 310, 311, 311, 311, 312, 314, 314, 314, 314, 314, 315, 316, 316, 316, 317, 318, 319, 321, 322, 322, 322, 322, 323, 323, 323, 324, 326, 326, 326, 327, 327, 328, 328, 328, 329, 329, 331, 333, 333, 334, 334, 335, 336, 336, 336, 337, 338, 339, 339, 339, 341, 341, 341, 341, 342, 342, 342, 343, 343, 344, 344, 345, 345, 345, 345, 345, 346, 346, 346, 346, 347, 347, 347, 347, 348, 349, 349, 349, 350, 351, 352, 352, 353, 354, 354, 355, 356, 356, 356, 357, 359, 360, 363, 364, 365, 365, 365, 365, 366, 367, 368, 368, 368, 368, 368, 368, 368, 369, 369, 370, 372, 373, 373, 373, 375, 376, 376, 377, 380, 381, 382, 382, 382, 383, 386, 386, 386, 386, 387, 387, 387, 388, 389, 389, 390, 390, 390, 390, 391, 393, 393, 393, 394, 394, 395, 396, 397, 398, 400, 401, 401, 402, 402, 402, 402, 404, 404, 405, 406, 406, 407, 408, 409, 410, 411, 411, 412, 412, 413, 413, 414, 415, 417, 417, 417, 419, 420, 420, 421, 421, 421, 422, 422, 423, 423, 423, 423, 426, 427, 428, 428, 429, 429, 430, 431, 432, 433, 433, 434, 434, 434, 434, 435, 437, 437, 439, 439, 441, 441, 442, 442, 443, 443, 444, 445, 445, 446, 448, 450, 451, 451, 452, 452, 454, 454, 455, 457, 458, 459, 460, 462, 462, 464, 464, 464, 464, 465, 466, 467, 468, 468, 468, 469, 469, 469, 469, 470, 470, 471, 472, 473, 474, 474, 475, 475, 475, 475, 477, 478, 479, 479, 480, 481, 481, 482, 483, 483, 484, 484, 484, 485, 486, 487, 487, 488, 488, 489, 489, 489, 490, 491, 492, 493, 493, 494, 495, 495, 495, 496, 497, 497, 497, 497, 498, 499, 499, 499, 501, 502, 502, 503, 503, 504, 504, 504, 505, 505, 506, 506, 506, 507, 508, 508, 509, 510, 512, 512, 512, 512, 513, 514, 514, 517, 518, 518, 520, 521, 521, 521, 521, 522, 522, 523, 524, 524, 524, 525, 525, 525, 526, 526, 526, 527, 527, 527, 528, 528, 529, 530, 530, 531, 531, 532, 533, 533, 533, 534, 536, 536, 536, 536, 537, 538, 539, 539, 540, 540, 540, 541, 542, 544, 545, 545, 546, 547, 547, 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2144, 2145, 2146, 2146, 2146, 2147, 2147, 2147, 2147, 2148, 2148, 2149, 2149, 2149, 2150, 2150, 2151, 2151, 2151, 2151, 2151, 2152, 2152, 2152, 2154, 2156, 2157, 2159, 2159, 2160, 2160, 2162, 2163, 2164, 2164, 2164, 2164, 2164, 2165, 2165, 2166, 2166, 2166, 2166, 2166, 2168, 2168, 2168, 2168, 2168, 2170, 2170, 2171, 2171, 2171, 2172, 2173, 2173, 2174, 2174, 2176, 2177, 2177, 2177, 2177, 2178, 2178, 2179, 2181, 2181, 2182, 2182, 2183, 2186, 2187, 2188, 2188, 2188, 2188, 2188, 2189, 2189, 2191, 2193, 2193, 2193, 2194, 2194, 2194, 2194, 2195, 2195, 2196, 2196, 2196, 2196, 2197, 2197, 2197, 2198, 2198, 2198, 2199, 2200, 2200, 2201, 2202, 2203, 2205, 2205, 2205, 2206, 2206, 2206, 2207, 2208, 2208, 2209, 2209, 2210, 2210, 2211, 2212, 2212, 2212, 2213, 2214, 2214, 2215, 2215, 2215, 2217, 2218, 2218, 2218, 2219, 2219, 2220, 2220, 2221, 2221, 2221, 2221, 2222, 2222, 2223, 2225, 2225, 2226, 2226, 2226, 2227, 2227, 2227, 2228, 2229, 2230, 2230, 2230, 2230, 2230, 2231, 2231, 2232, 2232, 2232, 2232, 2233, 2233, 2233, 2234, 2234, 2234, 2235, 2235, 2235, 2237, 2238, 2239, 2239, 2240, 2241, 2241, 2241, 2242, 2243, 2243, 2243, 2243, 2245, 2245, 2245, 2245, 2245, 2245, 2245, 2247, 2248, 2249, 2250, 2251, 2251, 2252, 2253, 2253, 2253, 2253, 2254, 2254, 2255, 2255, 2255, 2257, 2257, 2258, 2258, 2258, 2258, 2259, 2259, 2260, 2261, 2262, 2262, 2264, 2265, 2265, 2266, 2266, 2268, 2268, 2270, 2270, 2271, 2274, 2274, 2275, 2276, 2276, 2276, 2277, 2278, 2278, 2279, 2279, 2279, 2280, 2280, 2280, 2281, 2281, 2281, 2281, 2283, 2283, 2283, 2284, 2284, 2284, 2285, 2285, 2285, 2286, 2286, 2289, 2290, 2291, 2291, 2291, 2292, 2292, 2292, 2293, 2293, 2293, 2294, 2294, 2295, 2295, 2295, 2295, 2295, 2296, 2296, 2297, 2297, 2298, 2298, 2299, 2299, 2300, 2301, 2301, 2304, 2304, 2304, 2305, 2306, 2306, 2307, 2307, 2307, 2308, 2308, 2308, 2310, 2311, 2311, 2312, 2313, 2313, 2313, 2314, 2314, 2315, 2315, 2315, 2316, 2317, 2320, 2320, 2321, 2321, 2321, 2321, 2321, 2322, 2322, 2324, 2324, 2324, 2324, 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2415, 2417, 2417, 2417, 2419, 2419, 2419, 2420, 2420, 2420, 2421, 2421, 2424, 2424, 2424, 2424, 2425, 2426, 2426, 2426, 2427, 2427, 2428, 2428, 2428, 2430, 2430, 2431, 2431, 2432, 2433, 2433, 2433, 2434, 2434, 2435, 2435, 2436, 2436, 2437, 2437, 2438, 2438, 2438, 2439, 2440, 2441, 2442, 2442, 2442, 2443, 2443, 2446, 2447, 2447, 2448, 2449, 2449, 2450, 2450, 2451, 2452, 2452, 2453, 2454, 2454, 2454, 2454, 2455, 2455, 2456, 2456, 2457, 2457, 2457, 2457, 2459, 2459, 2459, 2459, 2460, 2460, 2460, 2462, 2463, 2463, 2465, 2465, 2465, 2466, 2468, 2469, 2469, 2470, 2470, 2470, 2471, 2471, 2472, 2472, 2473, 2474, 2474, 2475, 2476, 2476, 2477, 2478, 2478, 2480, 2480, 2481, 2481, 2481, 2482, 2482, 2483, 2483, 2483, 2484, 2485, 2487, 2488, 2488, 2488, 2489, 2490, 2490, 2490, 2491, 2492, 2492, 2492, 2493, 2493, 2494, 2496, 2497, 2497, 2497, 2498, 2500, 2500, 2500, 2502, 2502, 2503, 2504, 2504, 2505, 2506, 2507, 2507, 2507, 2507, 2508, 2508, 2509, 2510, 2510, 2510, 2511, 2511, 2511, 2512, 2512, 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19041, 19041, 19041, 19042, 19043, 19043, 19043, 19044, 19044, 19044, 19044, 19046, 19046, 19047, 19047, 19048, 19048, 19048, 19048, 19049, 19049, 19050, 19050, 19051, 19051, 19052, 19053, 19053, 19053, 19053, 19054, 19055, 19055, 19056, 19057, 19057, 19059, 19060, 19060, 19061, 19061, 19063, 19063, 19064, 19064, 19064, 19066, 19066, 19066, 19067, 19067, 19068, 19070, 19071, 19071, 19072, 19073, 19073, 19073, 19074, 19074, 19075, 19076, 19077, 19078, 19078, 19078, 19079, 19079, 19080, 19080, 19081, 19082, 19083, 19084, 19084, 19085, 19086, 19088, 19090, 19091, 19093, 19093, 19093, 19094, 19094, 19096, 19096, 19098, 19098, 19099, 19099, 19101, 19103, 19103, 19103, 19105, 19106, 19106, 19106, 19107, 19107, 19108, 19108, 19109, 19110, 19111, 19112, 19114, 19114, 19114, 19115, 19115, 19115, 19115, 19117, 19117, 19118, 19118, 19118, 19118, 19120, 19120, 19120, 19120, 19123, 19123, 19123, 19124, 19125, 19125, 19127, 19130, 19130, 19131, 19131, 19131, 19133, 19133, 19133, 19134, 19135, 19135, 19136, 19136, 19137, 19138, 19138, 19138, 19139, 19139, 19140, 19141, 19141, 19144, 19144, 19144, 19145, 19146, 19148, 19150, 19150, 19152, 19152, 19153, 19153, 19156, 19156, 19156, 19158, 19158, 19158, 19159, 19159, 19160, 19160, 19161, 19161, 19161, 19161, 19162, 19164, 19164, 19164, 19165, 19165, 19167, 19167, 19168, 19168, 19169, 19169, 19170, 19170, 19171, 19171, 19172, 19172, 19173, 19173, 19173, 19173, 19173, 19174, 19174, 19174, 19174, 19175, 19176, 19176, 19178, 19179, 19179, 19179, 19179, 19179, 19179, 19180, 19180, 19180, 19180, 19180, 19181, 19183, 19183, 19183, 19184, 19184, 19185, 19185, 19186, 19186, 19187, 19187, 19187, 19188, 19188, 19188, 19191, 19191, 19191, 19192, 19193, 19193, 19194, 19194, 19194, 19195, 19197, 19197, 19198, 19199, 19199, 19202, 19202, 19203, 19203, 19204, 19205, 19205, 19207, 19207, 19208, 19208, 19209, 19209, 19210, 19210, 19211, 19213, 19214, 19214, 19214, 19214, 19216, 19217, 19220, 19220, 19220, 19220, 19221, 19221, 19222, 19222, 19222, 19222, 19223, 19224, 19224, 19225, 19226, 19226, 19228, 19228, 19228, 19228, 19229, 19231, 19231, 19232, 19232, 19233, 19234, 19235, 19236, 19236, 19236, 19236, 19237, 19238, 19238, 19238, 19239, 19241, 19242, 19242, 19244, 19244, 19245, 19245, 19246, 19247, 19249, 19250, 19250, 19250, 19250, 19251, 19251, 19252, 19252, 19253, 19254, 19255, 19256, 19257, 19258, 19258, 19259, 19259, 19260, 19260, 19260, 19260, 19261, 19261, 19262, 19262, 19262, 19263, 19263, 19264, 19264, 19264, 19264, 19264, 19265, 19267, 19267, 19267, 19268, 19269, 19269, 19270, 19270, 19271, 19271, 19272, 19272, 19272, 19273, 19275, 19275, 19275, 19275, 19276, 19276, 19278, 19278, 19279, 19280, 19282, 19282, 19283, 19283, 19283, 19284, 19284, 19284, 19284, 19285, 19285, 19288, 19288, 19289, 19290, 19291, 19292, 19292, 19293, 19293, 19294, 19295, 19295, 19297, 19299, 19300, 19300, 19300, 19301, 19301, 19301, 19303, 19304, 19305, 19305, 19306, 19306, 19307, 19309, 19309, 19310, 19313, 19313, 19314, 19314, 19315, 19315, 19316, 19316, 19316, 19316, 19318, 19318, 19319, 19320, 19320, 19320, 19320, 19321, 19321, 19322, 19322, 19323, 19323, 19324, 19325, 19325, 19328, 19328, 19329, 19329, 19329, 19330, 19330, 19330, 19330, 19333, 19334, 19334, 19335, 19335, 19335, 19336, 19336, 19338, 19339, 19339, 19340, 19341, 19341, 19341, 19341, 19342, 19342, 19342, 19344, 19344, 19345, 19345, 19346, 19346, 19347, 19348, 19349, 19349, 19350, 19351, 19351, 19351, 19352, 19352, 19352, 19353, 19354, 19354, 19355, 19355, 19356, 19357, 19357, 19357, 19358, 19358, 19359, 19359, 19360, 19360, 19362, 19362, 19363, 19364, 19364, 19364, 19365, 19366, 19367, 19367, 19368, 19368, 19369, 19369, 19370, 19370, 19370, 19370, 19371, 19371, 19371, 19371, 19371, 19371, 19372, 19372, 19375, 19376, 19376, 19377, 19378, 19379, 19379, 19381, 19382, 19383, 19384, 19385, 19386, 19386, 19387, 19387, 19388, 19388, 19388, 19389, 19389, 19390, 19390, 19390, 19391, 19392, 19392, 19393, 19394, 19394, 19395, 19396, 19397, 19397, 19397, 19398, 19398, 19400, 19402, 19402, 19402, 19402, 19406, 19406, 19407, 19408, 19408, 19409, 19410, 19411, 19411, 19412, 19412, 19413, 19414, 19414, 19415, 19415, 19415, 19415, 19416, 19416, 19417, 19417, 19417, 19418, 19419, 19419, 19419, 19420, 19421, 19422, 19423, 19424, 19425, 19425, 19426, 19427, 19427, 19427, 19428, 19429, 19431, 19431, 19432, 19433, 19434, 19434, 19435, 19436, 19437, 19437, 19437, 19437, 19438, 19438, 19438, 19438, 19440, 19440, 19443, 19443, 19443, 19444, 19444, 19445, 19445, 19446, 19447, 19447, 19448, 19448, 19448, 19449, 19449, 19450, 19451, 19451, 19451, 19452, 19452, 19452, 19452, 19452, 19453, 19453, 19453, 19453, 19455, 19456, 19456, 19457, 19457, 19457, 19460, 19460, 19462, 19462, 19463, 19464, 19465, 19468, 19468, 19469, 19471, 19471, 19472, 19472, 19472, 19472, 19473, 19474, 19475, 19475, 19475, 19475, 19476, 19477, 19477, 19477, 19477, 19479, 19479, 19480, 19480, 19481, 19482, 19482, 19482, 19483, 19485, 19485, 19486, 19486, 19486, 19487, 19487, 19487, 19489, 19490, 19490, 19491, 19491, 19493, 19493, 19496, 19496, 19497, 19497, 19497, 19497, 19499, 19499, 19499, 19499, 19501, 19501, 19501, 19501, 19504, 19504, 19505, 19505, 19506, 19506, 19509, 19509, 19509, 19510, 19511, 19512, 19513, 19513, 19513, 19514, 19514, 19515, 19515, 19515, 19516, 19517, 19517, 19519, 19520, 19520, 19520, 19520, 19520, 19520, 19521, 19521, 19521, 19521, 19522, 19523, 19524, 19524, 19524, 19525, 19525, 19526, 19526, 19526, 19526, 19526, 19527, 19527, 19529, 19530, 19530, 19531, 19531, 19532, 19533, 19535, 19536, 19537, 19537, 19538, 19538, 19539, 19540, 19540, 19540, 19541, 19541, 19541, 19542, 19542, 19542, 19542, 19543, 19543, 19543, 19543, 19544, 19544, 19544, 19545, 19546, 19546, 19546, 19547, 19548, 19548, 19548, 19549, 19549, 19551, 19552, 19552, 19553, 19554, 19554, 19554, 19555, 19556, 19557, 19557, 19558, 19558, 19559, 19559, 19559, 19560, 19561, 19561, 19563, 19563, 19564, 19564, 19564, 19565, 19565, 19568, 19568, 19570, 19570, 19570, 19571, 19572, 19572, 19572, 19573, 19573, 19574, 19574, 19575, 19575, 19575, 19575, 19576, 19577, 19577, 19579, 19580, 19581, 19581, 19582, 19582, 19582, 19583, 19583, 19584, 19584, 19584, 19585, 19585, 19585, 19586, 19587, 19587, 19589, 19589, 19590, 19590, 19592, 19592, 19592, 19593, 19594, 19595, 19596, 19597, 19598, 19598, 19599, 19599, 19599, 19600, 19600, 19600, 19601, 19601, 19601, 19603, 19603, 19603, 19604, 19605, 19606, 19606, 19607, 19608, 19608, 19609, 19609, 19609, 19610, 19610, 19611, 19611, 19613, 19613, 19613, 19614, 19614, 19614, 19614, 19618, 19619, 19619, 19619, 19619, 19619, 19619, 19620, 19620, 19621, 19621, 19623, 19625, 19626, 19627, 19628, 19629, 19629, 19629, 19630, 19630, 19633, 19634, 19634, 19634, 19635, 19635, 19635, 19637, 19637, 19637, 19640, 19640, 19640, 19641, 19641, 19642, 19642, 19643, 19643, 19644, 19644, 19645, 19646, 19647, 19647, 19647, 19647, 19648, 19648, 19649, 19650, 19652, 19653, 19653, 19654, 19655, 19656, 19656, 19656, 19656, 19656, 19657, 19658, 19659, 19660, 19660, 19661, 19661, 19661, 19662, 19662, 19663, 19663, 19664, 19664, 19664, 19664, 19665, 19665, 19666, 19666, 19668, 19670, 19670, 19671, 19671, 19672, 19672, 19672, 19673, 19673, 19675, 19676, 19677, 19678, 19679, 19679, 19679, 19680, 19680, 19683, 19684, 19685, 19685, 19685, 19686, 19686, 19686, 19686, 19686, 19687, 19688, 19688, 19689, 19690, 19690, 19691, 19691, 19692, 19692, 19693, 19693, 19694, 19694, 19695, 19696, 19697, 19698, 19698, 19699, 19699, 19699, 19699, 19700, 19700, 19700, 19701, 19702, 19702, 19703, 19703, 19703, 19703, 19703, 19703, 19704, 19705, 19706, 19706, 19707, 19708, 19708, 19711, 19711, 19712, 19713, 19713, 19714, 19714, 19714, 19714, 19714, 19715, 19715, 19715, 19716, 19717, 19719, 19721, 19721, 19722, 19723, 19724, 19725, 19725, 19726, 19728, 19728, 19728, 19729, 19729, 19730, 19730, 19730, 19731, 19732, 19733, 19734, 19735, 19735, 19737, 19738, 19739, 19740, 19740, 19741, 19742, 19743, 19744, 19744, 19745, 19746, 19747, 19748, 19748, 19749, 19749, 19749, 19749, 19749, 19750, 19750, 19752, 19753, 19753, 19754, 19754, 19755, 19756, 19758, 19758, 19760, 19760, 19761, 19762, 19763, 19763, 19765, 19766, 19766, 19767, 19767, 19767, 19767, 19767, 19768, 19768, 19768, 19769, 19771, 19771, 19771, 19771, 19772, 19772, 19773, 19773, 19773, 19774, 19774, 19774, 19775, 19775, 19775, 19775, 19776, 19778, 19778, 19779, 19780, 19780, 19782, 19782, 19784, 19785, 19786, 19787, 19787, 19787, 19788, 19789, 19789, 19789, 19790, 19790, 19791, 19791, 19791, 19791, 19791, 19793, 19793, 19794, 19794, 19795, 19795, 19796, 19796, 19797, 19799, 19801, 19802, 19803, 19803, 19803, 19804, 19804, 19806, 19806, 19807, 19807, 19807, 19808, 19808, 19809, 19809, 19810, 19811, 19811, 19812, 19812, 19813, 19814, 19814, 19815, 19816, 19817, 19817, 19818, 19818, 19818, 19818, 19819, 19820, 19820, 19821, 19821, 19821, 19821, 19821, 19821, 19822, 19822, 19822, 19823, 19824, 19824, 19827, 19830, 19830, 19831, 19833, 19833, 19833, 19834, 19834, 19834, 19834, 19834, 19835, 19836, 19836, 19836, 19837, 19839, 19839, 19840, 19841, 19842, 19843, 19843, 19844, 19844, 19844, 19845, 19846, 19846, 19846, 19847, 19847, 19848, 19848, 19848, 19849, 19849, 19851, 19851, 19852, 19852, 19852, 19853, 19853, 19854, 19854, 19854, 19854, 19855, 19856, 19856, 19857, 19857, 19857, 19858, 19859, 19860, 19862, 19863, 19864, 19865, 19866, 19866, 19866, 19866, 19866, 19867, 19868, 19868, 19868, 19870, 19870, 19870, 19871, 19872, 19872, 19872, 19873, 19874, 19874, 19875, 19875, 19875, 19875, 19876, 19877, 19877, 19877, 19877, 19877, 19878, 19879, 19879, 19879, 19879, 19880, 19880, 19882, 19883, 19883, 19883, 19884, 19885, 19885, 19885, 19887, 19889, 19889, 19890, 19890, 19893, 19893, 19893, 19893, 19894, 19894, 19894, 19895, 19895, 19896, 19897, 19899, 19899, 19899, 19900, 19900, 19900, 19900, 19900, 19902, 19902, 19902, 19903, 19904, 19905, 19905, 19905, 19907, 19909, 19909, 19909, 19909, 19909, 19912, 19913, 19914, 19918, 19918, 19919, 19920, 19920, 19921, 19921, 19921, 19922, 19922, 19922, 19924, 19924, 19924, 19924, 19924, 19925, 19925, 19926, 19926, 19926, 19926, 19927, 19927, 19927, 19927, 19929, 19929, 19930, 19930, 19931, 19931, 19931, 19931, 19933, 19933, 19934, 19934, 19935, 19935, 19936, 19937, 19938, 19938, 19938, 19938, 19939, 19940, 19940, 19941, 19941, 19941, 19942, 19942, 19943, 19943, 19943, 19944, 19944, 19946, 19946, 19947, 19947, 19948, 19948, 19949, 19949, 19950, 19951, 19951, 19951, 19952, 19953, 19953, 19953, 19953, 19953, 19955, 19955, 19956, 19957, 19958, 19958, 19959, 19959, 19961, 19962, 19962, 19964, 19964, 19964, 19965, 19965, 19965, 19967, 19967, 19969, 19969, 19970, 19971, 19971, 19971, 19972, 19972, 19973, 19973, 19973, 19974, 19976, 19976, 19976, 19977, 19977, 19977, 19977, 19978, 19980, 19980, 19981, 19981, 19981, 19982, 19982, 19982, 19983, 19984, 19984, 19984, 19985, 19986, 19986, 19986, 19987, 19987, 19988, 19988, 19988, 19989, 19989, 19990, 19990, 19990, 19991, 19991, 19992, 19994, 19994, 19995, 19995, 19995, 19996, 19996, 19996, 19997, 19997, 19998, 19998, 19999, 19999, 19999, 20001, 20001, 20001, 20001, 20002, 20002, 20002, 20003, 20003, 20003, 20003, 20003, 20004, 20006, 20006, 20009, 20009, 20009, 20010, 20011, 20011, 20011, 20012, 20012, 20012, 20012, 20013, 20014, 20014, 20016, 20017, 20017, 20017, 20017, 20018, 20020, 20020, 20020, 20021, 20022, 20022, 20022, 20022, 20023, 20024, 20025, 20025, 20025, 20025, 20026, 20026, 20028, 20028, 20029, 20029, 20030, 20031, 20032, 20033, 20034, 20034, 20034, 20035, 20035, 20035, 20036, 20037, 20038, 20039, 20039, 20040, 20041, 20041, 20041, 20043, 20043, 20044, 20045, 20046, 20047, 20048, 20048, 20049, 20049, 20054, 20054, 20054, 20054, 20055, 20056, 20056, 20057, 20057, 20057, 20058, 20058, 20058, 20059, 20060, 20061, 20061, 20061, 20062, 20062, 20063, 20064, 20065, 20066, 20067, 20068, 20070, 20070, 20072, 20072, 20073, 20073, 20073, 20074, 20075, 20075, 20076, 20076, 20077, 20077, 20078, 20081, 20081, 20081, 20082, 20084, 20084, 20084, 20084, 20086, 20086, 20086, 20086, 20087, 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20168, 20168, 20169, 20170, 20171, 20171, 20172, 20172, 20172, 20174, 20174, 20174, 20175, 20175, 20175, 20175, 20175, 20176, 20176, 20177, 20177, 20177, 20178, 20179, 20179, 20179, 20179, 20180, 20181, 20181, 20182, 20182, 20183, 20185, 20185, 20186, 20186, 20186, 20186, 20187, 20187, 20187, 20188, 20188, 20188, 20188, 20189, 20189, 20190, 20190, 20191, 20192, 20192, 20194, 20194, 20195, 20195, 20195, 20195, 20197, 20198, 20199, 20200, 20200, 20200, 20201, 20201, 20201, 20202, 20203, 20203, 20203, 20206, 20206, 20206, 20207, 20208, 20208, 20208, 20209, 20209, 20209, 20209, 20211, 20211, 20212, 20213, 20213, 20216, 20217, 20220, 20220, 20221, 20222, 20223, 20224, 20224, 20225, 20226, 20226, 20226, 20227, 20228, 20228, 20228, 20229, 20229, 20229, 20229, 20230, 20232, 20233, 20234, 20236, 20236, 20237, 20237, 20237, 20237, 20238, 20239, 20239, 20240, 20240, 20240, 20241, 20242, 20244, 20245, 20245, 20246, 20248, 20248, 20248, 20249, 20249, 20249, 20251, 20251, 20252, 20252, 20254, 20256, 20257, 20258, 20258, 20258, 20259, 20259, 20260, 20260, 20261, 20261, 20261, 20262, 20263, 20263, 20263, 20264, 20264, 20264, 20264, 20265, 20265, 20266, 20267, 20267, 20269, 20269, 20269, 20270, 20270, 20270, 20271, 20271, 20271, 20271, 20272, 20273, 20274, 20275, 20276, 20276, 20278, 20279, 20280, 20280, 20281, 20281, 20281, 20282, 20283, 20283, 20285, 20285, 20286, 20287, 20287, 20287, 20288, 20288, 20289, 20290, 20291, 20291, 20291, 20293, 20293, 20294, 20294, 20294, 20294, 20295, 20296, 20296, 20296, 20296, 20297, 20298, 20298, 20298, 20298, 20298, 20299, 20299, 20299, 20299, 20300, 20300, 20300, 20300, 20301, 20301, 20302, 20302, 20302, 20302, 20304, 20305, 20306, 20306, 20308, 20308, 20310, 20311, 20311, 20311, 20311, 20312, 20313, 20313, 20313, 20314, 20314, 20317, 20317, 20317, 20317, 20318, 20318, 20318, 20318, 20319, 20319, 20320, 20320, 20320, 20320, 20320, 20320, 20321, 20321, 20322, 20322, 20322, 20322, 20323, 20323, 20325, 20326, 20326, 20326, 20327, 20327, 20328, 20328, 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44493, 44495, 44496, 44496, 44498, 44499, 44499, 44500, 44501, 44503, 44503, 44503, 44504, 44504, 44504, 44504, 44505, 44505, 44506, 44507, 44507, 44507, 44508, 44508, 44508, 44508, 44508, 44509, 44510, 44510, 44511, 44511, 44511, 44512, 44512, 44512, 44512, 44513, 44513, 44514, 44516, 44517, 44517, 44517, 44517, 44517, 44518, 44519, 44519, 44519, 44519, 44520, 44520, 44521, 44521, 44521, 44521, 44522, 44522, 44522, 44523, 44523, 44523, 44524, 44525, 44527, 44527, 44527, 44527, 44529, 44529, 44530, 44530, 44530, 44531, 44532, 44533, 44533, 44534, 44534, 44535, 44536, 44536, 44537, 44538, 44539, 44539, 44541, 44541, 44541, 44543, 44544, 44545, 44545, 44546, 44546, 44546, 44547, 44547, 44548, 44548, 44548, 44549, 44550, 44551, 44551, 44552, 44552, 44552, 44552, 44553, 44555, 44555, 44556, 44556, 44557, 44558, 44561, 44561, 44561, 44562, 44562, 44563, 44564, 44566, 44566, 44566, 44566, 44568, 44568, 44568, 44569, 44570, 44571, 44571, 44571, 44573, 44573, 44573, 44573, 44574, 44575, 44576, 44576, 44577, 44578, 44579, 44581, 44581, 44581, 44581, 44582, 44583, 44584, 44585, 44585, 44585, 44585, 44587, 44587, 44587, 44587, 44588, 44589, 44591, 44591, 44591, 44592, 44593, 44594, 44594, 44595, 44595, 44596, 44596, 44596, 44596, 44597, 44597, 44597, 44597, 44599, 44599, 44600, 44600, 44600, 44601, 44602, 44603, 44603, 44603, 44604, 44606, 44607, 44607, 44608, 44608, 44609, 44610, 44610, 44610, 44611, 44611, 44612, 44613, 44613, 44615, 44616, 44616, 44616, 44618, 44619, 44620, 44620, 44620, 44621, 44621, 44622, 44622, 44624, 44624, 44625, 44625, 44625, 44625, 44628, 44628, 44629, 44629, 44630, 44630, 44630, 44630, 44630, 44632, 44633, 44633, 44633, 44634, 44634, 44635, 44635, 44635, 44635, 44635, 44636, 44637, 44638, 44638, 44639, 44639, 44640, 44641, 44641, 44642, 44643, 44644, 44645, 44647, 44647, 44649, 44649, 44649, 44649, 44650, 44651, 44651, 44652, 44652, 44653, 44654, 44655, 44655, 44655, 44656, 44657, 44657, 44659, 44659, 44659, 44660, 44660, 44661, 44662, 44662, 44664, 44665, 44665, 44665, 44666, 44666, 44667, 44669, 44669, 44670, 44671, 44671, 44672, 44672, 44674, 44675, 44675, 44675, 44675, 44678, 44679, 44680, 44680, 44680, 44680, 44681, 44681, 44681, 44681, 44681, 44681, 44683, 44684, 44684, 44684, 44684, 44684, 44685, 44685, 44687, 44687, 44688, 44689, 44689, 44689, 44690, 44690, 44692, 44692, 44694, 44694, 44695, 44696, 44698, 44699, 44700, 44700, 44700, 44700, 44700, 44701, 44701, 44701, 44703, 44703, 44704, 44705, 44705, 44706, 44707, 44708, 44708, 44708, 44709, 44711, 44711, 44712, 44712, 44712, 44713, 44713, 44713, 44714, 44715, 44715, 44716, 44716, 44717, 44717, 44717, 44718, 44719, 44719, 44720, 44720, 44720, 44720, 44720, 44720, 44720, 44721, 44722, 44725, 44726, 44727, 44728, 44728, 44728, 44728, 44730, 44730, 44731, 44732, 44733, 44733, 44733, 44735, 44735, 44736, 44736, 44737, 44739, 44740, 44740, 44742, 44742, 44742, 44743, 44743, 44744, 44745, 44745, 44746, 44747, 44747, 44747, 44747, 44748, 44748, 44749, 44749, 44751, 44751, 44752, 44753, 44753, 44753, 44753, 44754, 44757, 44758, 44759, 44759, 44759, 44760, 44760, 44761, 44761, 44761, 44761, 44762, 44762, 44762, 44762, 44764, 44764, 44764, 44764, 44765, 44765, 44765, 44767, 44768, 44768, 44770, 44770, 44770, 44770, 44771, 44773, 44773, 44773, 44774, 44774, 44775, 44776, 44778, 44778, 44779, 44780, 44780, 44780, 44780, 44782, 44782, 44782, 44783, 44784, 44784, 44785, 44787, 44788, 44789, 44790, 44790, 44791, 44792, 44792, 44793, 44793, 44793, 44793, 44795, 44795, 44796, 44798, 44799, 44799, 44799, 44800, 44801, 44801, 44801, 44802, 44803, 44804, 44804, 44805, 44805, 44805, 44806, 44806, 44807, 44807, 44808, 44808, 44808, 44808, 44809, 44809, 44810, 44810, 44811, 44812, 44813, 44814, 44814, 44814, 44814, 44814, 44815, 44816, 44817, 44817, 44817, 44818, 44819, 44820, 44821, 44821, 44821, 44821, 44821, 44821, 44822, 44822, 44823, 44823, 44823, 44824, 44824, 44824, 44824, 44825, 44825, 44825, 44826, 44826, 44827, 44828, 44828, 44828, 44828, 44828, 44828, 44830, 44831, 44832, 44832, 44832, 44832, 44832, 44832, 44833, 44834, 44836, 44836, 44837, 44838, 44838, 44839, 44839, 44840, 44841, 44843, 44844, 44844, 44844, 44846, 44846, 44846, 44846, 44848, 44849, 44850, 44850, 44850, 44854, 44855, 44855, 44856, 44858, 44859, 44859, 44860, 44861, 44861, 44861, 44861, 44861, 44862, 44862, 44864, 44864, 44865, 44866, 44866, 44866, 44866, 44867, 44867, 44867, 44867, 44868, 44869, 44869, 44869, 44870, 44872, 44873, 44873, 44874, 44874, 44874, 44875, 44875, 44876, 44876, 44876, 44878, 44878, 44879, 44880, 44881, 44881, 44881, 44881, 44881, 44883, 44883, 44884, 44885, 44885, 44885, 44886, 44887, 44887, 44887, 44888, 44888, 44888, 44888, 44889, 44889, 44890, 44891, 44891, 44891, 44891, 44891, 44892, 44892, 44894, 44895, 44895, 44895, 44895, 44896, 44898, 44898, 44899, 44899, 44899, 44900, 44901, 44902, 44903, 44903, 44904, 44904, 44904, 44904, 44905, 44907, 44907, 44908, 44909, 44910, 44910, 44911, 44912, 44915, 44916, 44916, 44916, 44918, 44918, 44918, 44920, 44921, 44921, 44922, 44923, 44924, 44924, 44924, 44924, 44924, 44925, 44926, 44926, 44927, 44928, 44929, 44929, 44931, 44932, 44932, 44932, 44933, 44935, 44935, 44935, 44935, 44936, 44936, 44936, 44936, 44940, 44942, 44942, 44942, 44943, 44946, 44947, 44948, 44949, 44949, 44950, 44950, 44950, 44951, 44951, 44953, 44955, 44957, 44957, 44958, 44958, 44959, 44959, 44959, 44960, 44961, 44961, 44963, 44964, 44964, 44964, 44964, 44965, 44967, 44970, 44971, 44971, 44972, 44972, 44974, 44976, 44976, 44976, 44978, 44978, 44979, 44979, 44979, 44980, 44980, 44980, 44981, 44982, 44983, 44984, 44985, 44986, 44987, 44988, 44989, 44989, 44989, 44991, 44992, 44993, 44993, 44993, 44993, 44996, 44997, 44998, 44999, 44999, 44999, 45001, 45003, 45004, 45004, 45005, 45005, 45005, 45006, 45007, 45007, 45008, 45009, 45010, 45010, 45011, 45011, 45011, 45012, 45014, 45015, 45015, 45016, 45016, 45017, 45017, 45017, 45019, 45019, 45020, 45021, 45021, 45022, 45022, 45023, 45023, 45024, 45024, 45026, 45027, 45028, 45028, 45029, 45029, 45030, 45030, 45030, 45031, 45031, 45031, 45034, 45035, 45036, 45037, 45037, 45038, 45038, 45040, 45041, 45042, 45043, 45043, 45043, 45044, 45045, 45045, 45045, 45045, 45045, 45046, 45046, 45047, 45047, 45047, 45047, 45049, 45050, 45050, 45050, 45050, 45051, 45051, 45052, 45052, 45052, 45055, 45056, 45056, 45057, 45057, 45058, 45058, 45058, 45059, 45059, 45060, 45062, 45062, 45062, 45062, 45062, 45062, 45063, 45063, 45064, 45065, 45066, 45067, 45067, 45069, 45069, 45070, 45071, 45071, 45072, 45072, 45072, 45073, 45074, 45075, 45075, 45076, 45079, 45079, 45079, 45080, 45081, 45081, 45081, 45081, 45081, 45082, 45082, 45082, 45082, 45083, 45083, 45083, 45083, 45085, 45086, 45086, 45087, 45087, 45088, 45088, 45089, 45089, 45089, 45090, 45090, 45092, 45093, 45096, 45097, 45097, 45097, 45099, 45099, 45100, 45100, 45102, 45104, 45105, 45106, 45106, 45106, 45107, 45108, 45109, 45109, 45109, 45110, 45110, 45111, 45111, 45112, 45113, 45113, 45113, 45113, 45113, 45113, 45115, 45115, 45115, 45116, 45117, 45117, 45118, 45119, 45119, 45120, 45120, 45120, 45120, 45120, 45122, 45122, 45122, 45122, 45124, 45126, 45126, 45126, 45128, 45128, 45129, 45129, 45130, 45131, 45131, 45131, 45131, 45132, 45132, 45132, 45133, 45133, 45133, 45134, 45134, 45134, 45135, 45136, 45136, 45136, 45137, 45137, 45139, 45140, 45140, 45141, 45142, 45142, 45142, 45143, 45143, 45144, 45144, 45144, 45145, 45146, 45147, 45147, 45147, 45151, 45151, 45152, 45152, 45153, 45153, 45154, 45154, 45154, 45154, 45156, 45156, 45158, 45158, 45158, 45159, 45159, 45161, 45162, 45163, 45167, 45168, 45168, 45171, 45173, 45173, 45173, 45174, 45174, 45175, 45175, 45176, 45177, 45177, 45178, 45178, 45178, 45180, 45180, 45181, 45182, 45182, 45183, 45184, 45184, 45184, 45185, 45185, 45186, 45186, 45186, 45188, 45188, 45188, 45188, 45188, 45189, 45189, 45189, 45189, 45190, 45190, 45190, 45193, 45194, 45194, 45195, 45195, 45196, 45196, 45196, 45196, 45197, 45197, 45198, 45198, 45198, 45199, 45199, 45199, 45200, 45201, 45201, 45201, 45201, 45202, 45202, 45203, 45203, 45204, 45206, 45206, 45206, 45206, 45207, 45207, 45209, 45210, 45211, 45212, 45212, 45213, 45213, 45213, 45214, 45216, 45216, 45217, 45217, 45217, 45217, 45217, 45219, 45220, 45220, 45221, 45222, 45222, 45222, 45222, 45223, 45223, 45223, 45223, 45224, 45224, 45225, 45225, 45225, 45225, 45226, 45226, 45226, 45226, 45226, 45227, 45227, 45228, 45228, 45229, 45229, 45229, 45230, 45230, 45230, 45231, 45231, 45233, 45233, 45233, 45233, 45235, 45237, 45238, 45238, 45238, 45239, 45240, 45240, 45241, 45241, 45241, 45241, 45242, 45243, 45243, 45243, 45244, 45244, 45247, 45247, 45248, 45248, 45248, 45249, 45250, 45250, 45251, 45251, 45251, 45252, 45252, 45252, 45253, 45253, 45253, 45253, 45253, 45253, 45254, 45254, 45255, 45256, 45256, 45257, 45257, 45257, 45257, 45257, 45257, 45258, 45258, 45258, 45258, 45259, 45259, 45259, 45260, 45261, 45261, 45262, 45262, 45262, 45264, 45265, 45266, 45267, 45267, 45268, 45268, 45269, 45270, 45271, 45272, 45275, 45275, 45276, 45276, 45276, 45278, 45278, 45278, 45280, 45281, 45283, 45283, 45284, 45284, 45284, 45286, 45286, 45286, 45286, 45287, 45287, 45288, 45288, 45289, 45289, 45290, 45290, 45290, 45290, 45291, 45291, 45291, 45291, 45291, 45294, 45295, 45295, 45295, 45295, 45295, 45296, 45297, 45297, 45297, 45298, 45300, 45300, 45300, 45301, 45302, 45302, 45302, 45302, 45304, 45304, 45304, 45305, 45306, 45306, 45307, 45307, 45308, 45308, 45310, 45310, 45310, 45310, 45311, 45312, 45312, 45314, 45314, 45314, 45315, 45315, 45316, 45316, 45317, 45317, 45317, 45317, 45317, 45319, 45320, 45321, 45321, 45322, 45322, 45323, 45323, 45323, 45323, 45324, 45325, 45326, 45326, 45326, 45327, 45327, 45328, 45328, 45328, 45328, 45329, 45329, 45330, 45330, 45332, 45332, 45332, 45332, 45334, 45335, 45336, 45336, 45338, 45338, 45339, 45339, 45340, 45342, 45344, 45345, 45345, 45346, 45346, 45347, 45347, 45348, 45348, 45350, 45350, 45350, 45350, 45350, 45351, 45352, 45353, 45354, 45354, 45355, 45355, 45355, 45356, 45356, 45357, 45357, 45357, 45358, 45358, 45358, 45361, 45361, 45361, 45362, 45362, 45363, 45363, 45364, 45364, 45365, 45366, 45367, 45367, 45367, 45367, 45368, 45369, 45369, 45370, 45370, 45370, 45371, 45371, 45371, 45372, 45372, 45373, 45373, 45373, 45374, 45374, 45374, 45375, 45375, 45376, 45377, 45377, 45377, 45378, 45378, 45379, 45379, 45379, 45379, 45380, 45382, 45382, 45382, 45383, 45384, 45384, 45384, 45385, 45385, 45385, 45386, 45386, 45387, 45387, 45387, 45387, 45388, 45388, 45389, 45389, 45390, 45391, 45392, 45392, 45392, 45393, 45393, 45393, 45394, 45396, 45396, 45396, 45396, 45398, 45399, 45400, 45400, 45400, 45401, 45401, 45401, 45401, 45402, 45403, 45403, 45404, 45406, 45406, 45407, 45408, 45408, 45410, 45412, 45413, 45413, 45413, 45414, 45415, 45416, 45416, 45419, 45420, 45421, 45421, 45421, 45421, 45422, 45422, 45422, 45422, 45423, 45423, 45424, 45424, 45425, 45426, 45426, 45426, 45428, 45428, 45429, 45429, 45429, 45429, 45430, 45431, 45432, 45432, 45432, 45432, 45433, 45433, 45433, 45434, 45434, 45434, 45435, 45436, 45436, 45437, 45438, 45438, 45438, 45439, 45439, 45439, 45440, 45440, 45440, 45441, 45441, 45442, 45444, 45445, 45445, 45445, 45446, 45447, 45447, 45448, 45448, 45448, 45449, 45449, 45449, 45449, 45451, 45452, 45452, 45453, 45454, 45455, 45455, 45456, 45456, 45456, 45457, 45457, 45457, 45458, 45458, 45458, 45459, 45459, 45459, 45459, 45459, 45459, 45461, 45461, 45462, 45462, 45465, 45466, 45467, 45467, 45468, 45468, 45468, 45468, 45470, 45470, 45471, 45472, 45473, 45474, 45475, 45476, 45476, 45478, 45478, 45478, 45479, 45479, 45479, 45480, 45480, 45480, 45482, 45482, 45482, 45482, 45482, 45483, 45483, 45483] 45483)) + +test9 :: Test +test9 = TestCase (assertEqual "for (minimumAddedCoins [1, 1, 2, 3, 3, 4, 4, 4, 4, 6, 9, 9, 12, 13, 20, 22, 22, 24, 25, 25, 31, 32, 36, 36, 40, 48, 48, 50, 51, 54, 54, 60, 60, 62, 63, 64, 64, 66, 70, 72, 72, 73, 74, 76, 77, 82, 84, 84, 85, 86, 86, 89, 90, 92, 92, 97, 98, 99, 100, 103, 103, 104, 105, 110, 110, 111, 111, 112, 120, 123, 124, 128, 129, 131, 133, 133, 135, 135, 138, 142, 143, 146, 146, 147, 152, 155, 156, 156, 159, 159, 162, 164, 164, 173, 173, 174, 177, 182, 183, 183, 185, 188, 190, 191, 193, 193, 194, 198, 200, 201, 203, 206, 209, 213, 221, 221, 221, 225, 226, 228, 230, 232, 233, 233, 233, 235, 236, 236, 238, 240, 240, 240, 240, 241, 241, 241, 242, 245, 245, 245, 248, 250, 253, 254, 260, 260, 260, 260, 260, 262, 263, 267, 270, 272, 274, 274, 276, 277, 280, 280, 281, 282, 285, 285, 286, 287, 289, 290, 291, 291, 291, 298, 302, 302, 303, 305, 309, 311, 312, 314, 317, 318, 319, 321, 324, 325, 326, 327, 329, 331, 333, 335, 335, 336, 337, 343, 346, 346, 346, 351, 354, 355, 357, 357, 361, 362, 362, 364, 365, 367, 368, 371, 373, 377, 377, 378, 379, 380, 380, 380, 381, 381, 390, 392, 393, 399, 400, 402, 405, 405, 406, 408, 408, 409, 409, 411, 414, 419, 420, 420, 420, 426, 426, 426, 429, 432, 434, 436, 437, 439, 439, 441, 442, 442, 443, 444, 445, 449, 450, 454, 457, 458, 458, 459, 459, 459, 460, 462, 465, 466, 466, 471, 473, 473, 473, 474, 475, 475, 476, 476, 478, 478, 487, 488, 489, 490, 493, 495, 496, 496, 496, 497, 498, 499, 504, 506, 511, 511, 511, 514, 515, 515, 521, 521, 521, 529, 529, 531, 534, 535, 537, 539, 540, 540, 540, 542, 543, 544, 545, 546, 549, 550, 554, 555, 557, 557, 558, 559, 559, 562, 565, 569, 571, 572, 575, 578, 583, 584, 585, 591, 592, 592, 595, 598, 600, 600, 601, 603, 603, 605, 605, 605, 607, 607, 608, 608, 610, 613, 613, 613, 614, 617, 618, 620, 620, 623, 629, 630, 633, 635, 636, 637, 638, 638, 639, 641, 641, 641, 643, 643, 644, 644, 646, 649, 651, 654, 655, 657, 666, 666, 669, 670, 673, 677, 677, 677, 679, 680, 681, 687, 688, 688, 689, 690, 693, 694, 695, 699, 702, 703, 707, 709, 709, 711, 714, 716, 717, 718, 719, 720, 720, 721, 724, 725, 729, 729, 731, 732, 732, 733, 735, 737, 738, 740, 743, 745, 745, 753, 753, 754, 755, 758, 759, 760, 762, 762, 763, 766, 771, 776, 782, 785, 785, 786, 786, 786, 786, 787, 788, 790, 790, 794, 796, 798, 799, 801, 801, 803, 804, 806, 807, 808, 809, 810, 811, 811, 813, 816, 816, 822, 827, 828, 828, 829, 831, 837, 838, 839, 840, 844, 846, 846, 846, 847, 856, 857, 858, 858, 861, 863, 863, 863, 863, 866, 867, 869, 871, 873, 875, 877, 878, 878, 879, 885, 887, 888, 890, 890, 890, 890, 894, 896, 897, 899, 900, 901, 903, 912, 914, 915, 917, 917, 918, 918, 919, 920, 923, 924, 925, 925, 928, 929, 930, 930, 932, 936, 936, 941, 941, 941, 942, 943, 945, 946, 947, 948, 948, 949, 949, 950, 951, 955, 956, 958, 959, 960, 961, 962, 962, 963, 964, 965, 969, 969, 970, 975, 976, 978, 979, 981, 983, 983, 984, 985, 987, 987, 988, 990, 993, 993, 994, 994, 1004, 1006, 1008, 1009, 1010, 1011, 1011, 1011, 1014, 1018, 1018, 1025, 1027, 1028, 1028, 1029, 1031, 1034, 1041, 1041, 1045, 1045, 1045, 1046, 1049, 1049, 1051, 1052, 1052, 1053, 1054, 1054, 1056, 1058, 1059, 1060, 1060, 1061, 1067, 1069, 1069, 1070, 1071, 1072, 1075, 1079, 1082, 1084, 1086, 1090, 1093, 1093, 1094, 1094, 1095, 1097, 1097, 1099, 1101, 1103, 1106, 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1431, 1431, 1433, 1438, 1439, 1441, 1442, 1443, 1444, 1447, 1450, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1458, 1461, 1462, 1462, 1465, 1466, 1466, 1471, 1472, 1472, 1472, 1474, 1475, 1479, 1481, 1484, 1484, 1486, 1487, 1488, 1491, 1493, 1497, 1499, 1499, 1504, 1506, 1506, 1508, 1511, 1515, 1518, 1519, 1520, 1521, 1526, 1526, 1528, 1532, 1532, 1535, 1536, 1538, 1538, 1539, 1546, 1546, 1550, 1550, 1552, 1552, 1558, 1558, 1559, 1564, 1566, 1566, 1566, 1568, 1569, 1570, 1571, 1572, 1574, 1574, 1575, 1575, 1577, 1584, 1585, 1587, 1588, 1589, 1591, 1591, 1592, 1592, 1596, 1598, 1598, 1600, 1600, 1601, 1602, 1603, 1605, 1606, 1609, 1617, 1618, 1619, 1620, 1621, 1621, 1623, 1623, 1624, 1628, 1631, 1631, 1634, 1635, 1635, 1637, 1638, 1639, 1642, 1644, 1645, 1645, 1647, 1650, 1653, 1654, 1654, 1655, 1658, 1669, 1674, 1675, 1677, 1677, 1680, 1683, 1683, 1683, 1683, 1684, 1684, 1685, 1690, 1691, 1701, 1706, 1706, 1707, 1710, 1710, 1711, 1712, 1712, 1714, 1715, 1716, 1717, 1717, 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2007, 2007, 2010, 2010, 2011, 2013, 2013, 2014, 2017, 2018, 2019, 2020, 2021, 2023, 2027, 2030, 2034, 2036, 2036, 2038, 2038, 2038, 2040, 2042, 2043, 2044, 2047, 2047, 2049, 2051, 2051, 2053, 2054, 2057, 2058, 2059, 2061, 2063, 2065, 2065, 2066, 2066, 2068, 2070, 2070, 2070, 2074, 2075, 2075, 2076, 2077, 2078, 2081, 2081, 2082, 2083, 2084, 2085, 2087, 2089, 2089, 2091, 2093, 2096, 2099, 2103, 2105, 2106, 2114, 2120, 2121, 2121, 2121, 2122, 2123, 2124, 2126, 2128, 2132, 2139, 2139, 2140, 2140, 2140, 2141, 2145, 2147, 2150, 2150, 2152, 2154, 2154, 2156, 2159, 2162, 2163, 2165, 2168, 2168, 2169, 2172, 2172, 2172, 2173, 2173, 2177, 2178, 2178, 2182, 2185, 2187, 2188, 2189, 2189, 2191, 2191, 2191, 2192, 2193, 2195, 2196, 2197, 2200, 2200, 2200, 2200, 2203, 2203, 2205, 2210, 2212, 2215, 2216, 2218, 2219, 2220, 2221, 2222, 2225, 2226, 2226, 2230, 2230, 2234, 2236, 2237, 2237, 2242, 2243, 2243, 2246, 2246, 2248, 2249, 2252, 2256, 2258, 2263, 2264, 2264, 2266, 2267, 2273, 2276, 2277, 2278, 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3771, 3772, 3773, 3773, 3774, 3775, 3776, 3777, 3777, 3779, 3781, 3783, 3785, 3786, 3788, 3788, 3789, 3792, 3793, 3795, 3797, 3798, 3799, 3800, 3804, 3804, 3804, 3805, 3806, 3807, 3808, 3810, 3814, 3816, 3819, 3820, 3822, 3824, 3824, 3826, 3827, 3828, 3829, 3831, 3831, 3832, 3832, 3832, 3832, 3832, 3833, 3834, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3841, 3841, 3844, 3844, 3845, 3849, 3849, 3852, 3859, 3860, 3862, 3864, 3869, 3870, 3882, 3884, 3884, 3884, 3887, 3894, 3895, 3898, 3898, 3898, 3902, 3904, 3911, 3913, 3920, 3920, 3921, 3922, 3925, 3926, 3927, 3929, 3932, 3932, 3935, 3935, 3936, 3937, 3938, 3942, 3942, 3943, 3943, 3953, 3954, 3954, 3955, 3957, 3958, 3959, 3960, 3962, 3963, 3965, 3968, 3969, 3969, 3970, 3972, 3973, 3976, 3977, 3979, 3980, 3984, 3987, 3987, 3993, 3995, 3996, 3997, 3997, 3999, 4007, 4011, 4014, 4014, 4015, 4016, 4018, 4021, 4023, 4030, 4031, 4033, 4033, 4033, 4034, 4034, 4038, 4039, 4040, 4040, 4041, 4042, 4044, 4045, 4048, 4051, 4055, 4057, 4059, 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22833, 22834, 22835, 22836, 22837, 22840, 22841, 22842, 22842, 22844, 22845, 22846, 22847, 22850, 22850, 22850, 22853, 22855, 22856, 22858, 22861, 22861, 22862, 22863, 22865, 22865, 22866, 22866, 22867, 22869, 22870, 22870, 22873, 22879, 22886, 22890, 22893, 22893, 22895, 22897, 22900, 22902, 22902, 22904, 22904, 22904, 22906, 22906, 22907, 22908, 22910, 22911, 22913, 22915, 22916, 22926, 22927, 22928, 22932, 22932, 22932, 22934, 22937, 22937, 22939, 22942, 22942, 22945, 22946, 22947, 22948, 22948, 22950, 22950, 22953, 22953, 22954, 22956, 22957, 22959, 22960, 22963, 22964, 22965, 22968, 22972, 22973, 22973, 22973, 22974, 22977, 22979, 22979, 22979, 22980, 22985, 22987, 22989, 22990, 22992, 22994, 22994, 22996, 22997, 22999, 23000, 23001, 23001, 23001, 23003, 23003, 23004, 23006, 23010, 23011, 23014, 23018, 23018, 23020, 23020, 23021, 23025, 23025, 23036, 23039, 23040, 23040, 23044, 23044, 23046, 23046, 23047, 23047, 23048, 23050, 23051, 23052, 23054, 23055, 23059, 23059, 23060, 23065, 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24904, 24905, 24906, 24907, 24907, 24910, 24913, 24914, 24915, 24915, 24916, 24917, 24918, 24921, 24923, 24923, 24933, 24939, 24941, 24941, 24943, 24949, 24952, 24953, 24953, 24957, 24962, 24964, 24964, 24970, 24974, 24975, 24975, 24976, 24978, 24979, 24987, 24988, 24991, 24991, 24991, 24992, 24997, 25004, 25004, 25005, 25008, 25011, 25013, 25014, 25014, 25016, 25017, 25017, 25018, 25019, 25020, 25021, 25028, 25028, 25029, 25029, 25032, 25033, 25034, 25034, 25036, 25036, 25038, 25038, 25039, 25042, 25043, 25048, 25048, 25049, 25050, 25052, 25055, 25058, 25059, 25064, 25067, 25068, 25072, 25072, 25074, 25075, 25076, 25077, 25081, 25081, 25082, 25082, 25083, 25084, 25084, 25085, 25089, 25089, 25089, 25092, 25094, 25094, 25101, 25108, 25109, 25109, 25110, 25112, 25114, 25115, 25116, 25118, 25118, 25120, 25121, 25122, 25123, 25123, 25125, 25126, 25127, 25127, 25136, 25140, 25145, 25146, 25147, 25148, 25149, 25149, 25152, 25155, 25155, 25155, 25158, 25160, 25161, 25163, 25164, 25166, 25167, 25169, 25169, 25170, 25172, 25174, 25174, 25174, 25177, 25180, 25182, 25182, 25183, 25185, 25186, 25187, 25188, 25189, 25190, 25190, 25192, 25193, 25193, 25193, 25199, 25202, 25206, 25206, 25209, 25210, 25212, 25213, 25214, 25218, 25218, 25218, 25220, 25222, 25227, 25227, 25228, 25231, 25232, 25233, 25233, 25234, 25238, 25241, 25243, 25245, 25245, 25246, 25248, 25253, 25254, 25256, 25257, 25258, 25259, 25261, 25261, 25263, 25280, 25281, 25284, 25286, 25288, 25289, 25289, 25290, 25292, 25293, 25294, 25295, 25296, 25303, 25303, 25304, 25304, 25305, 25307, 25307, 25310, 25310, 25313, 25318, 25320, 25323, 25326, 25326, 25327, 25328, 25330, 25331, 25331, 25332, 25335, 25337, 25339, 25340, 25342, 25345, 25347, 25348, 25350, 25350, 25351, 25352, 25352, 25355, 25355, 25355, 25356, 25358, 25358, 25361, 25362, 25363, 25366, 25367, 25370, 25372, 25373, 25374, 25374, 25375, 25378, 25379, 25381, 25382, 25382, 25383, 25386, 25387, 25387, 25390, 25396, 25398, 25402, 25403, 25404, 25407, 25408, 25409, 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25916, 25916, 25917, 25918, 25918, 25922, 25923, 25923, 25924, 25928, 25929, 25930, 25932, 25933, 25938, 25938, 25938, 25942, 25943, 25946, 25948, 25948, 25949, 25953, 25956, 25957, 25958, 25959, 25959, 25961, 25961, 25962, 25964, 25965, 25967, 25968, 25974, 25974, 25975, 25975, 25977, 25978, 25979, 25980, 25985, 25986, 25988, 25990, 25991, 25994, 25995, 25995, 25995, 26003, 26010, 26010, 26012, 26012, 26012, 26014, 26014, 26014, 26018, 26018, 26020, 26021, 26025, 26025, 26026, 26027, 26028, 26029, 26030, 26030, 26032, 26032, 26035, 26037, 26037, 26038, 26038, 26039, 26043, 26048, 26050, 26053, 26054, 26059, 26060, 26066, 26068, 26068, 26070, 26072, 26073, 26074, 26074, 26075, 26078, 26081, 26081, 26082, 26082, 26085, 26085, 26087, 26093, 26093, 26098, 26098, 26099, 26102, 26104, 26104, 26105, 26106, 26107, 26111, 26113, 26113, 26115, 26119, 26120, 26121, 26122, 26129, 26129, 26131, 26133, 26137, 26141, 26142, 26142, 26144, 26148, 26149, 26150, 26152, 26153, 26154, 26154, 26154, 26155, 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40022, 40022, 40025, 40026, 40028, 40029, 40033, 40035, 40036, 40036, 40037, 40037, 40045, 40045, 40045, 40047, 40047, 40050, 40051, 40051, 40056, 40057, 40059, 40064, 40065, 40067, 40069, 40071, 40072, 40077, 40081, 40082, 40083, 40085, 40091, 40095, 40095, 40097, 40098, 40102, 40102, 40105, 40105, 40105, 40106, 40106, 40106, 40108, 40109, 40114, 40122, 40123, 40125, 40129, 40131, 40133, 40134, 40135, 40139, 40143, 40144, 40144, 40146, 40148, 40151, 40152, 40155, 40158, 40159, 40161, 40163, 40163, 40166, 40167, 40167, 40168, 40172, 40174, 40176, 40177, 40180, 40181, 40182, 40182, 40182, 40184, 40186, 40187, 40190, 40190, 40192, 40193, 40194, 40197, 40201, 40201, 40205, 40206, 40208, 40208, 40209, 40210, 40217, 40218, 40220, 40223, 40223, 40225, 40227, 40228, 40230, 40230, 40231, 40232, 40233, 40235, 40237, 40239, 40240, 40245, 40245, 40245, 40245, 40247, 40247, 40248, 40253, 40253, 40255, 40260, 40261, 40262, 40264, 40266, 40268, 40270, 40273, 40274, 40275, 40276, 40276, 40279, 40280, 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40500, 40505, 40507, 40507, 40513, 40513, 40513, 40513, 40515, 40515, 40516, 40517, 40517, 40520, 40520, 40523, 40524, 40524, 40525, 40525, 40529, 40529, 40534, 40535, 40536, 40538, 40539, 40540, 40541, 40544, 40545, 40545, 40549, 40550, 40553, 40557, 40557, 40560, 40562, 40565, 40565, 40565, 40566, 40568, 40569, 40569, 40570, 40570, 40570, 40572, 40577, 40578, 40578, 40580, 40581, 40585, 40592, 40593, 40593, 40595, 40598, 40598, 40599, 40602, 40604, 40605, 40606, 40608, 40612, 40616, 40617, 40618, 40619, 40620, 40621, 40623, 40631, 40631, 40634, 40634, 40636, 40641, 40641, 40643, 40643, 40643, 40644, 40644, 40646, 40648, 40648, 40650, 40651, 40652, 40652, 40655, 40658, 40660, 40664, 40665, 40666, 40666, 40666, 40669, 40671, 40674, 40675, 40677, 40678, 40681, 40688, 40688, 40694, 40694, 40694, 40694, 40696, 40696, 40698, 40703, 40705, 40706, 40707, 40709, 40712, 40713, 40714, 40716, 40718, 40719, 40721, 40722, 40724, 40726, 40728, 40730, 40735, 40739, 40740, 40741, 40744, 40745, 40747, 40747, 40749, 40751, 40751, 40753, 40753, 40758, 40761, 40761, 40764, 40767, 40767, 40769, 40771, 40771, 40772, 40772, 40775, 40777, 40781, 40782, 40784, 40785, 40787, 40791, 40792, 40792, 40795, 40800, 40801, 40806, 40807, 40808, 40808, 40810, 40813, 40814, 40816, 40817, 40818, 40820, 40823, 40823, 40824, 40824, 40824, 40828, 40834, 40835, 40836, 40841, 40842, 40842, 40842, 40842, 40843, 40848, 40851, 40853, 40855, 40857, 40858, 40858, 40860, 40860, 40861, 40862, 40863, 40866, 40868, 40869, 40871, 40873, 40875, 40877, 40878, 40878, 40879, 40886, 40886, 40886, 40887, 40888, 40889, 40890, 40897, 40899, 40901, 40902, 40904, 40904, 40905, 40908, 40909, 40911, 40913, 40914, 40920, 40921, 40922, 40926, 40929, 40929, 40930, 40933, 40933, 40934, 40935, 40935, 40936, 40936, 40937, 40942, 40943, 40948, 40950, 40950, 40951, 40953, 40956, 40959, 40961, 40962, 40962, 40965, 40971, 40973, 40973, 40974, 40976, 40977, 40977, 40982, 40982, 40983, 40983, 40989, 40990, 40991, 40996, 41000, 41001, 41002, 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41570, 41572, 41583, 41587, 41588, 41589, 41591, 41594, 41595, 41604, 41606, 41610, 41612, 41612, 41612, 41613, 41614, 41615, 41616, 41616, 41616, 41619, 41621, 41621, 41622, 41623, 41627, 41628, 41629, 41630, 41630, 41633, 41635, 41635, 41637, 41638, 41642, 41643, 41645, 41648, 41653, 41654, 41656, 41657, 41657, 41658, 41658, 41660, 41663, 41663, 41665, 41666, 41669, 41670, 41672, 41674, 41679, 41683, 41684, 41685, 41692, 41693, 41693, 41694, 41694, 41696, 41698, 41698, 41700, 41701, 41702, 41702, 41705, 41706, 41706, 41707, 41711, 41711, 41711, 41712, 41713, 41717, 41722, 41722, 41723, 41724, 41724, 41727, 41728, 41729, 41729, 41729, 41732, 41735, 41736, 41737, 41740, 41743, 41744, 41747, 41747, 41748, 41749, 41752, 41754, 41754, 41754, 41755, 41756, 41764, 41764, 41765, 41765, 41766, 41766, 41766, 41769, 41773, 41774, 41777, 41779, 41780, 41780, 41781, 41781, 41781, 41782, 41788, 41789, 41790, 41793, 41794, 41799, 41799, 41800, 41800, 41801, 41804, 41805, 41805, 41806, 41808, 41808, 41810, 41813, 41814, 41815, 41817, 41819, 41821, 41821, 41822, 41823, 41824, 41825, 41827, 41827, 41828, 41829, 41829, 41831, 41834, 41836, 41838, 41839, 41844, 41847, 41849, 41851, 41852, 41852, 41852, 41852, 41857, 41858, 41858, 41859, 41859, 41860, 41860, 41861, 41863, 41864, 41864, 41865, 41866, 41868, 41869, 41871, 41871, 41875, 41875, 41876, 41877, 41880, 41881, 41881, 41881, 41882, 41891, 41892, 41895, 41897, 41902, 41903, 41904, 41911, 41912, 41913, 41914, 41915, 41915, 41917, 41919, 41920, 41921, 41922, 41923, 41924, 41933, 41942, 41943, 41944, 41948, 41948, 41949, 41950, 41950, 41952, 41953, 41954, 41961, 41964, 41965, 41966, 41969, 41970, 41971, 41971, 41973, 41975, 41977, 41978, 41978, 41979, 41980, 41980, 41982, 41982, 41984, 41984, 41987, 41989, 41995, 41995, 41996, 41997, 41997, 42001, 42003, 42005, 42009, 42010, 42010, 42013, 42013, 42015, 42018, 42019, 42020, 42021, 42022, 42028, 42028, 42031, 42031, 42032, 42033, 42040, 42040, 42040, 42041, 42042, 42043, 42044, 42047, 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42279, 42283, 42283, 42288, 42288, 42290, 42291, 42292, 42292, 42294, 42298, 42299, 42301, 42302, 42304, 42304, 42306, 42309, 42309, 42310, 42312, 42314, 42315, 42319, 42321, 42323, 42324, 42328, 42333, 42334, 42337, 42337, 42337, 42339, 42339, 42340, 42341, 42342, 42346, 42348, 42349, 42351, 42352, 42352, 42354, 42356, 42357, 42357, 42359, 42362, 42363, 42364, 42366, 42366, 42367, 42367, 42368, 42369, 42372, 42374, 42375, 42376, 42376, 42378, 42381, 42381, 42382, 42383, 42383, 42385, 42388, 42388, 42388, 42389, 42390, 42390, 42391, 42393, 42395, 42398, 42399, 42399, 42401, 42402, 42403, 42404, 42404, 42405, 42407, 42407, 42408, 42408, 42414, 42415, 42416, 42419, 42420, 42421, 42427, 42427, 42430, 42432, 42432, 42434, 42434, 42437, 42443, 42443, 42445, 42447, 42448, 42448, 42449, 42450, 42450, 42451, 42453, 42455, 42456, 42458, 42458, 42459, 42460, 42460, 42460, 42462, 42464, 42469, 42469, 42470, 42471, 42472, 42473, 42473, 42477, 42478, 42478, 42478, 42482, 42483, 42484, 42484, 42487, 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84733, 84736, 84736, 84739, 84739, 84739, 84740, 84740, 84740, 84749, 84751, 84753, 84755, 84755, 84757, 84762, 84763, 84765, 84765, 84766, 84766, 84766, 84769, 84774, 84774, 84776, 84779, 84780, 84783, 84785, 84786, 84786, 84786, 84786, 84786, 84787, 84788, 84788, 84792, 84792, 84794, 84795, 84796, 84801, 84802, 84805, 84807, 84809, 84818, 84821, 84825, 84825, 84825, 84825, 84830, 84836, 84839, 84839, 84841, 84842, 84843, 84845, 84846, 84848, 84848, 84851, 84852, 84852, 84854, 84856, 84857, 84858, 84860, 84860, 84863, 84864, 84864, 84864, 84866, 84868, 84877, 84879, 84879, 84882, 84883, 84884, 84887, 84889, 84889, 84891, 84897, 84899, 84900, 84900, 84908, 84911, 84911, 84917, 84921, 84921, 84923, 84923, 84924, 84926, 84926, 84928, 84930, 84934, 84935, 84939, 84941, 84945, 84946, 84949, 84951, 84955, 84957, 84958, 84962, 84962, 84964, 84967, 84967, 84967, 84968, 84969, 84974, 84975, 84975, 84977, 84978, 84979, 84980, 84982, 84983, 84983, 84984, 84985, 84988, 84988, 84997, 85000, 85001, 85002, 85005, 85005, 85005, 85006, 85006, 85011, 85016, 85021, 85021, 85022, 85023, 85025, 85030, 85030, 85030, 85031, 85031, 85034, 85037, 85037, 85041, 85041, 85042, 85042, 85043, 85045, 85046, 85048, 85051, 85052, 85059, 85059, 85061, 85062, 85064, 85066, 85068, 85069, 85070, 85072, 85072, 85074, 85075, 85077, 85078, 85080, 85081, 85081, 85082, 85083, 85084, 85086, 85087, 85087, 85087, 85089, 85091, 85094, 85095, 85101, 85105, 85111, 85113, 85115, 85115, 85115, 85115, 85116, 85118, 85119, 85120, 85120, 85122, 85123, 85123, 85123, 85123, 85127, 85128, 85129, 85131, 85131, 85131, 85135, 85135, 85140, 85141, 85141, 85143, 85144, 85147, 85148, 85149, 85152, 85154, 85157, 85158, 85159, 85159, 85160, 85164, 85167, 85169, 85170, 85170, 85171, 85174, 85176, 85177, 85179, 85181, 85181, 85183, 85184, 85185, 85186, 85187, 85188, 85189, 85191, 85192, 85192, 85194, 85195, 85195, 85196, 85199, 85200, 85200, 85200, 85202, 85202, 85202, 85204, 85205, 85206, 85207, 85207, 85209, 85211, 85212, 85215, 85218, 85219, 85226, 85226, 85226, 85227, 85229, 85231, 85232, 85234, 85237, 85237, 85241, 85242, 85243, 85244, 85246, 85249, 85249, 85251, 85251, 85254, 85255, 85260, 85260, 85265, 85267, 85270, 85270, 85271, 85271, 85272, 85274, 85276, 85276, 85276, 85279, 85280, 85281, 85281, 85282, 85282, 85284, 85287, 85288, 85288, 85289, 85294, 85295, 85295, 85296, 85297, 85298, 85299, 85300, 85302, 85305, 85305, 85305, 85305, 85306, 85307, 85307, 85307, 85309, 85310, 85310, 85313, 85317, 85319, 85321, 85326, 85327, 85331, 85331, 85334, 85337, 85338, 85339, 85340, 85342, 85342, 85343, 85344, 85344, 85345, 85345, 85350, 85358, 85362, 85365, 85369, 85372, 85372, 85374, 85375, 85376, 85376, 85379, 85383, 85386, 85387, 85387, 85388, 85389, 85390, 85392, 85392, 85393, 85395, 85395, 85397, 85397, 85397, 85399, 85401, 85403, 85403, 85403, 85403, 85403, 85404, 85404, 85406, 85406, 85408, 85412, 85422, 85423, 85424, 85425, 85426, 85426, 85428, 85428, 85436, 85439, 85440, 85441, 85443, 85445, 85446, 85447, 85449, 85453, 85454, 85463, 85465, 85470, 85471, 85473, 85475, 85476, 85479, 85480, 85481, 85485, 85486, 85488, 85495, 85496, 85497, 85502, 85503, 85507, 85507, 85508, 85510, 85510, 85514, 85515, 85517, 85517, 85518, 85519, 85521, 85523, 85526, 85528, 85531, 85532, 85534, 85537, 85542, 85543, 85543, 85544, 85546, 85549, 85552, 85554, 85555, 85556, 85557, 85558, 85559, 85559, 85567, 85567, 85569, 85569, 85574, 85574, 85577, 85577, 85579, 85584, 85588, 85591, 85592, 85594, 85595, 85596, 85597, 85600, 85600, 85603, 85617, 85620, 85621, 85622, 85623, 85625, 85626, 85626, 85628, 85629, 85630, 85631, 85633, 85634, 85635, 85637, 85640, 85642, 85647, 85649, 85650, 85652, 85654, 85654, 85656, 85656, 85659, 85661, 85662, 85665, 85666, 85668, 85672, 85672, 85673, 85675, 85675, 85675, 85680, 85681, 85682, 85686, 85687, 85696, 85697, 85697, 85697, 85699, 85704, 85704, 85705, 85706, 85707, 85707, 85708, 85708, 85709, 85710, 85712, 85714, 85716, 85723, 85723, 85723, 85724, 85725, 85726, 85726, 85726, 85731, 85732, 85733, 85734, 85735, 85737, 85737, 85745, 85750, 85752, 85754, 85756, 85757, 85758, 85758, 85765, 85770, 85772, 85772, 85775, 85776, 85780, 85780, 85781, 85788, 85790, 85790, 85790, 85791, 85791, 85793, 85794, 85797, 85797, 85799, 85800, 85800, 85801, 85803, 85803, 85804, 85806, 85809, 85809, 85810, 85811, 85812, 85814, 85815, 85818, 85818, 85819, 85820, 85824, 85825, 85827, 85827, 85829, 85829, 85831, 85831, 85832, 85833, 85833, 85834, 85834, 85842, 85852, 85856, 85858, 85861, 85861, 85862, 85862, 85862, 85862, 85863, 85863, 85864, 85865, 85867, 85871, 85873, 85874, 85881, 85883, 85884, 85884, 85885, 85885, 85890, 85892, 85893, 85894, 85894, 85895, 85895, 85896, 85901, 85902, 85902, 85902, 85905, 85908, 85911, 85913, 85915, 85915, 85916, 85917, 85917, 85919, 85919, 85922, 85923, 85926, 85927, 85928, 85931, 85932, 85934, 85935, 85937, 85938, 85939, 85942, 85943, 85945, 85947, 85950, 85950, 85952, 85952, 85953, 85955, 85956, 85958, 85960, 85961, 85963, 85963, 85964, 85964, 85968, 85971, 85973, 85980, 85982, 85982, 85983, 85983, 85984, 85984, 85985, 85987, 85987, 85988, 85988, 85990, 85993, 85995, 85995, 85997, 86002, 86002] 86004)," 0 (minimumAddedCoins [1, 1, 2, 3, 3, 4, 4, 4, 4, 6, 9, 9, 12, 13, 20, 22, 22, 24, 25, 25, 31, 32, 36, 36, 40, 48, 48, 50, 51, 54, 54, 60, 60, 62, 63, 64, 64, 66, 70, 72, 72, 73, 74, 76, 77, 82, 84, 84, 85, 86, 86, 89, 90, 92, 92, 97, 98, 99, 100, 103, 103, 104, 105, 110, 110, 111, 111, 112, 120, 123, 124, 128, 129, 131, 133, 133, 135, 135, 138, 142, 143, 146, 146, 147, 152, 155, 156, 156, 159, 159, 162, 164, 164, 173, 173, 174, 177, 182, 183, 183, 185, 188, 190, 191, 193, 193, 194, 198, 200, 201, 203, 206, 209, 213, 221, 221, 221, 225, 226, 228, 230, 232, 233, 233, 233, 235, 236, 236, 238, 240, 240, 240, 240, 241, 241, 241, 242, 245, 245, 245, 248, 250, 253, 254, 260, 260, 260, 260, 260, 262, 263, 267, 270, 272, 274, 274, 276, 277, 280, 280, 281, 282, 285, 285, 286, 287, 289, 290, 291, 291, 291, 298, 302, 302, 303, 305, 309, 311, 312, 314, 317, 318, 319, 321, 324, 325, 326, 327, 329, 331, 333, 335, 335, 336, 337, 343, 346, 346, 346, 351, 354, 355, 357, 357, 361, 362, 362, 364, 365, 367, 368, 371, 373, 377, 377, 378, 379, 380, 380, 380, 381, 381, 390, 392, 393, 399, 400, 402, 405, 405, 406, 408, 408, 409, 409, 411, 414, 419, 420, 420, 420, 426, 426, 426, 429, 432, 434, 436, 437, 439, 439, 441, 442, 442, 443, 444, 445, 449, 450, 454, 457, 458, 458, 459, 459, 459, 460, 462, 465, 466, 466, 471, 473, 473, 473, 474, 475, 475, 476, 476, 478, 478, 487, 488, 489, 490, 493, 495, 496, 496, 496, 497, 498, 499, 504, 506, 511, 511, 511, 514, 515, 515, 521, 521, 521, 529, 529, 531, 534, 535, 537, 539, 540, 540, 540, 542, 543, 544, 545, 546, 549, 550, 554, 555, 557, 557, 558, 559, 559, 562, 565, 569, 571, 572, 575, 578, 583, 584, 585, 591, 592, 592, 595, 598, 600, 600, 601, 603, 603, 605, 605, 605, 607, 607, 608, 608, 610, 613, 613, 613, 614, 617, 618, 620, 620, 623, 629, 630, 633, 635, 636, 637, 638, 638, 639, 641, 641, 641, 643, 643, 644, 644, 646, 649, 651, 654, 655, 657, 666, 666, 669, 670, 673, 677, 677, 677, 679, 680, 681, 687, 688, 688, 689, 690, 693, 694, 695, 699, 702, 703, 707, 709, 709, 711, 714, 716, 717, 718, 719, 720, 720, 721, 724, 725, 729, 729, 731, 732, 732, 733, 735, 737, 738, 740, 743, 745, 745, 753, 753, 754, 755, 758, 759, 760, 762, 762, 763, 766, 771, 776, 782, 785, 785, 786, 786, 786, 786, 787, 788, 790, 790, 794, 796, 798, 799, 801, 801, 803, 804, 806, 807, 808, 809, 810, 811, 811, 813, 816, 816, 822, 827, 828, 828, 829, 831, 837, 838, 839, 840, 844, 846, 846, 846, 847, 856, 857, 858, 858, 861, 863, 863, 863, 863, 866, 867, 869, 871, 873, 875, 877, 878, 878, 879, 885, 887, 888, 890, 890, 890, 890, 894, 896, 897, 899, 900, 901, 903, 912, 914, 915, 917, 917, 918, 918, 919, 920, 923, 924, 925, 925, 928, 929, 930, 930, 932, 936, 936, 941, 941, 941, 942, 943, 945, 946, 947, 948, 948, 949, 949, 950, 951, 955, 956, 958, 959, 960, 961, 962, 962, 963, 964, 965, 969, 969, 970, 975, 976, 978, 979, 981, 983, 983, 984, 985, 987, 987, 988, 990, 993, 993, 994, 994, 1004, 1006, 1008, 1009, 1010, 1011, 1011, 1011, 1014, 1018, 1018, 1025, 1027, 1028, 1028, 1029, 1031, 1034, 1041, 1041, 1045, 1045, 1045, 1046, 1049, 1049, 1051, 1052, 1052, 1053, 1054, 1054, 1056, 1058, 1059, 1060, 1060, 1061, 1067, 1069, 1069, 1070, 1071, 1072, 1075, 1079, 1082, 1084, 1086, 1090, 1093, 1093, 1094, 1094, 1095, 1097, 1097, 1099, 1101, 1103, 1106, 1113, 1113, 1115, 1116, 1118, 1123, 1128, 1133, 1133, 1136, 1137, 1137, 1140, 1140, 1141, 1142, 1143, 1145, 1146, 1148, 1149, 1151, 1151, 1151, 1155, 1156, 1157, 1162, 1162, 1163, 1164, 1166, 1168, 1168, 1169, 1176, 1178, 1182, 1188, 1190, 1191, 1192, 1193, 1193, 1193, 1194, 1195, 1195, 1195, 1195, 1197, 1199, 1199, 1200, 1200, 1201, 1208, 1212, 1213, 1216, 1217, 1218, 1219, 1220, 1222, 1224, 1224, 1227, 1227, 1229, 1230, 1235, 1241, 1241, 1244, 1244, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1255, 1256, 1257, 1259, 1268, 1269, 1273, 1276, 1277, 1277, 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38801, 38801, 38801, 38802, 38803, 38803, 38804, 38809, 38811, 38812, 38813, 38814, 38814, 38819, 38823, 38827, 38828, 38828, 38830, 38830, 38832, 38833, 38837, 38839, 38841, 38841, 38845, 38847, 38847, 38848, 38849, 38852, 38855, 38858, 38859, 38863, 38863, 38866, 38866, 38869, 38869, 38875, 38876, 38880, 38881, 38883, 38885, 38891, 38892, 38892, 38896, 38896, 38899, 38904, 38904, 38908, 38908, 38909, 38909, 38913, 38914, 38918, 38918, 38924, 38926, 38926, 38927, 38928, 38936, 38938, 38939, 38939, 38942, 38946, 38946, 38948, 38950, 38955, 38955, 38957, 38960, 38964, 38966, 38966, 38970, 38970, 38972, 38973, 38973, 38973, 38975, 38975, 38975, 38977, 38978, 38979, 38979, 38983, 38983, 38985, 38986, 38989, 38989, 38991, 38998, 39000, 39004, 39007, 39009, 39011, 39012, 39020, 39022, 39025, 39034, 39034, 39035, 39035, 39036, 39041, 39041, 39042, 39042, 39043, 39044, 39047, 39049, 39054, 39056, 39058, 39059, 39060, 39060, 39061, 39065, 39065, 39066, 39070, 39071, 39072, 39072, 39075, 39075, 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39354, 39355, 39355, 39357, 39358, 39363, 39365, 39369, 39369, 39370, 39373, 39374, 39377, 39384, 39385, 39385, 39386, 39388, 39390, 39393, 39395, 39395, 39397, 39399, 39399, 39400, 39401, 39402, 39404, 39404, 39404, 39404, 39411, 39413, 39415, 39418, 39418, 39419, 39422, 39423, 39426, 39427, 39429, 39430, 39435, 39435, 39438, 39438, 39438, 39440, 39445, 39450, 39451, 39451, 39452, 39455, 39459, 39460, 39460, 39461, 39462, 39462, 39469, 39470, 39471, 39471, 39472, 39477, 39481, 39482, 39484, 39486, 39487, 39488, 39488, 39489, 39489, 39490, 39490, 39492, 39493, 39498, 39498, 39511, 39511, 39512, 39513, 39515, 39516, 39522, 39523, 39524, 39525, 39527, 39527, 39539, 39540, 39541, 39541, 39545, 39546, 39547, 39548, 39549, 39555, 39560, 39560, 39561, 39562, 39564, 39565, 39566, 39572, 39576, 39578, 39581, 39582, 39583, 39584, 39586, 39590, 39591, 39591, 39595, 39596, 39600, 39603, 39603, 39605, 39606, 39607, 39611, 39615, 39616, 39617, 39619, 39620, 39621, 39623, 39627, 39630, 39631, 39632, 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43590, 43590, 43593, 43593, 43595, 43596, 43596, 43599, 43600, 43601, 43606, 43606, 43608, 43611, 43612, 43612, 43613, 43614, 43615, 43615, 43616, 43617, 43622, 43624, 43625, 43625, 43625, 43628, 43632, 43632, 43633, 43635, 43636, 43636, 43638, 43638, 43639, 43640, 43640, 43641, 43642, 43645, 43649, 43651, 43651, 43654, 43657, 43659, 43660, 43661, 43663, 43664, 43665, 43665, 43667, 43667, 43671, 43671, 43671, 43672, 43675, 43679, 43679, 43679, 43680, 43682, 43684, 43684, 43686, 43688, 43696, 43700, 43701, 43702, 43704, 43705, 43710, 43713, 43713, 43714, 43714, 43715, 43717, 43717, 43717, 43718, 43720, 43722, 43723, 43726, 43726, 43728, 43729, 43733, 43735, 43741, 43742, 43742, 43744, 43745, 43745, 43746, 43746, 43747, 43749, 43750, 43750, 43753, 43758, 43759, 43760, 43762, 43765, 43765, 43768, 43769, 43769, 43769, 43769, 43769, 43771, 43773, 43776, 43776, 43776, 43782, 43783, 43784, 43784, 43785, 43785, 43786, 43788, 43789, 43789, 43792, 43792, 43796, 43799, 43800, 43803, 43806, 43806, 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85342, 85342, 85343, 85344, 85344, 85345, 85345, 85350, 85358, 85362, 85365, 85369, 85372, 85372, 85374, 85375, 85376, 85376, 85379, 85383, 85386, 85387, 85387, 85388, 85389, 85390, 85392, 85392, 85393, 85395, 85395, 85397, 85397, 85397, 85399, 85401, 85403, 85403, 85403, 85403, 85403, 85404, 85404, 85406, 85406, 85408, 85412, 85422, 85423, 85424, 85425, 85426, 85426, 85428, 85428, 85436, 85439, 85440, 85441, 85443, 85445, 85446, 85447, 85449, 85453, 85454, 85463, 85465, 85470, 85471, 85473, 85475, 85476, 85479, 85480, 85481, 85485, 85486, 85488, 85495, 85496, 85497, 85502, 85503, 85507, 85507, 85508, 85510, 85510, 85514, 85515, 85517, 85517, 85518, 85519, 85521, 85523, 85526, 85528, 85531, 85532, 85534, 85537, 85542, 85543, 85543, 85544, 85546, 85549, 85552, 85554, 85555, 85556, 85557, 85558, 85559, 85559, 85567, 85567, 85569, 85569, 85574, 85574, 85577, 85577, 85579, 85584, 85588, 85591, 85592, 85594, 85595, 85596, 85597, 85600, 85600, 85603, 85617, 85620, 85621, 85622, 85623, 85625, 85626, 85626, 85628, 85629, 85630, 85631, 85633, 85634, 85635, 85637, 85640, 85642, 85647, 85649, 85650, 85652, 85654, 85654, 85656, 85656, 85659, 85661, 85662, 85665, 85666, 85668, 85672, 85672, 85673, 85675, 85675, 85675, 85680, 85681, 85682, 85686, 85687, 85696, 85697, 85697, 85697, 85699, 85704, 85704, 85705, 85706, 85707, 85707, 85708, 85708, 85709, 85710, 85712, 85714, 85716, 85723, 85723, 85723, 85724, 85725, 85726, 85726, 85726, 85731, 85732, 85733, 85734, 85735, 85737, 85737, 85745, 85750, 85752, 85754, 85756, 85757, 85758, 85758, 85765, 85770, 85772, 85772, 85775, 85776, 85780, 85780, 85781, 85788, 85790, 85790, 85790, 85791, 85791, 85793, 85794, 85797, 85797, 85799, 85800, 85800, 85801, 85803, 85803, 85804, 85806, 85809, 85809, 85810, 85811, 85812, 85814, 85815, 85818, 85818, 85819, 85820, 85824, 85825, 85827, 85827, 85829, 85829, 85831, 85831, 85832, 85833, 85833, 85834, 85834, 85842, 85852, 85856, 85858, 85861, 85861, 85862, 85862, 85862, 85862, 85863, 85863, 85864, 85865, 85867, 85871, 85873, 85874, 85881, 85883, 85884, 85884, 85885, 85885, 85890, 85892, 85893, 85894, 85894, 85895, 85895, 85896, 85901, 85902, 85902, 85902, 85905, 85908, 85911, 85913, 85915, 85915, 85916, 85917, 85917, 85919, 85919, 85922, 85923, 85926, 85927, 85928, 85931, 85932, 85934, 85935, 85937, 85938, 85939, 85942, 85943, 85945, 85947, 85950, 85950, 85952, 85952, 85953, 85955, 85956, 85958, 85960, 85961, 85963, 85963, 85964, 85964, 85968, 85971, 85973, 85980, 85982, 85982, 85983, 85983, 85984, 85984, 85985, 85987, 85987, 85988, 85988, 85990, 85993, 85995, 85995, 85997, 86002, 86002] 86004)) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7, TestLabel "Test8" test8, TestLabel "Test9" test9] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_coins_to_be_added/java_tests/Main.java b/minimum_number_of_coins_to_be_added/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..2a5123323a73e0f7d3a67c86ec732326df3366c2 --- /dev/null +++ b/minimum_number_of_coins_to_be_added/java_tests/Main.java @@ -0,0 +1,25 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(2, minimumAddedCoins(new ArrayList<>(Arrays.asList(1,4,10)), 19)); +} +@Test +public void test2() { + assertEquals(1, minimumAddedCoins(new ArrayList<>(Arrays.asList(1,4,10,5,7,19)), 19)); +} +@Test +public void test3() { + assertEquals(3, minimumAddedCoins(new ArrayList<>(Arrays.asList(1,1,1)), 20)); +} + +} diff --git a/minimum_number_of_coins_to_be_added/meta.json b/minimum_number_of_coins_to_be_added/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..5affd4c9760e15e3fc9b7b544178558999f6d715 --- /dev/null +++ b/minimum_number_of_coins_to_be_added/meta.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:b0dc9aa2c39c5ae73c8981c47268d6f1078dcbe59ce0a66001a42ea68abbfe99 +size 15977404 diff --git a/minimum_number_of_coins_to_be_added/ocaml_tests/main.ml b/minimum_number_of_coins_to_be_added/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..79f253d728a81dbaeffe016c7b1292a23b532faa --- /dev/null +++ b/minimum_number_of_coins_to_be_added/ocaml_tests/main.ml @@ -0,0 +1,50 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 2 (minimumAddedCoins [1;4;10] 19) + +let test2 _ = assert_equal 1 (minimumAddedCoins [1;4;10;5;7;19] 19) + +let test3 _ = assert_equal 3 (minimumAddedCoins [1;1;1] 20) + +let test4 _ = assert_equal 1 (minimumAddedCoins [2; 3; 4; 7; 7; 8; 8; 11; 12; 12; 15; 15; 16; 17; 19; 19; 20; 20; 21; 25; 25; 26; 27; 29; 30; 30; 31; 32; 32; 33; 33; 33; 34; 35; 35; 35; 35; 36; 36; 36; 37; 38; 38; 38; 40; 41; 41; 42; 44; 44; 44; 45; 45; 46; 46; 48; 49; 50; 50; 51; 51; 52; 53; 54; 54; 55; 55; 55; 56; 56; 59; 62; 63; 64; 65; 66; 66; 68; 68; 68; 69; 69; 70; 70; 71; 72; 72; 74; 75; 75; 76; 77; 77; 77; 77; 77; 78; 79; 79; 81; 82; 85; 85; 86; 87; 87; 88; 88; 89; 90; 90; 90; 95; 95; 98; 98; 98; 102; 104; 105; 106; 107; 108; 109; 110; 110; 111; 113; 114; 114; 115; 117; 117; 118; 120; 120; 121; 121; 123; 124; 125; 125; 125; 127; 127; 128; 128; 128; 131; 131; 133; 134; 134; 135; 137; 137; 138; 138; 138; 139; 139; 140; 140; 141; 144; 144; 144; 145; 146; 146; 146; 148; 148; 151; 152; 153; 154; 154; 155; 155; 156; 157; 160; 160; 160; 162; 163; 163; 164; 165; 165; 166; 167; 168; 169; 169; 170; 170; 171; 172; 172; 172; 174; 176; 178; 178; 179; 180; 181; 183; 184; 187; 187; 188; 189; 190; 193; 195; 195; 196; 196; 197; 198; 200; 200; 202; 203; 203; 206; 206; 206; 206; 206; 207; 207; 207; 209; 210; 210; 211; 211; 211; 213; 214; 214; 214; 217; 218; 218; 218; 219; 219; 221; 223; 223; 226; 226; 227; 230; 230; 232; 233; 234; 237; 241; 241; 241; 242; 243; 244; 245; 246; 246; 246; 246; 249; 250; 250; 251; 251; 255; 256; 257; 257; 258; 258; 258; 259; 259; 260; 261; 262; 263; 264; 264; 265; 265; 267; 268; 268; 269; 269; 270; 271; 271; 272; 272; 272; 274; 275; 275; 276; 280; 281; 281; 284; 284; 285; 285; 286; 288; 288; 289; 289; 289; 291; 292; 293; 294; 294; 296; 296; 296; 297; 298; 298; 299; 299; 302; 302; 303; 303; 305; 306; 307; 308; 309; 311; 312; 312; 313; 315; 316; 316; 317; 317; 318; 318; 323; 325; 325; 326; 329; 329; 330; 330; 332; 332; 332; 333; 333; 333; 333; 334; 334; 335; 335; 336; 337; 338; 338; 338; 338; 341; 342; 342; 342; 344; 344; 346; 346; 347; 347; 347; 347; 348; 348; 348; 349; 350; 351; 352; 353; 353; 354; 354; 354; 355; 355; 355; 356; 356; 356; 358; 359; 359; 362; 362; 363; 369; 370; 371; 371; 373; 373; 377; 377; 377; 378; 378; 379; 379; 381; 381; 381; 381; 382; 383; 384; 388; 389; 389; 390; 391; 391; 394; 395; 395; 396; 397; 398; 399; 400; 400; 401; 403; 403; 403; 404; 404; 405; 405; 405; 407; 407; 408; 410; 411; 411; 411; 411; 411; 411; 412; 412; 413; 413; 415; 417; 417; 418; 418; 420; 421; 422; 422; 423; 423; 423; 423; 425; 425; 426; 428; 430; 430; 432; 433; 433; 434; 437; 439; 440; 441; 441; 441; 442; 442; 444; 444; 448; 454; 458; 458; 458; 458; 458; 459; 462; 462; 463; 464; 465; 465; 465; 466; 468; 469; 471; 471; 472; 472; 473; 473; 475; 476; 476; 477; 478; 479; 480; 482; 482; 482; 485; 486; 488; 488; 488; 488; 489; 491; 491; 492; 492; 492; 493; 494; 495; 495; 496; 496; 499; 501; 501; 502; 503; 506; 506; 506; 506; 507; 507; 511; 512; 512; 513; 513; 514; 514; 515; 515; 516; 518; 518; 518; 520; 521; 522; 522; 525; 525; 525; 527; 528; 528; 529; 532; 532; 532; 535; 536; 537; 538; 538; 539; 542; 543; 547; 547; 548; 548; 550; 552; 552; 552; 553; 553; 553; 553; 554; 556; 556; 556; 558; 558; 558; 560; 562; 563; 564; 565; 567; 568; 569; 569; 571; 572; 573; 575; 576; 576; 576; 577; 579; 580; 583; 584; 584; 585; 585; 590; 590; 590; 591; 593; 595; 596; 596; 597; 597; 597; 599; 604; 606; 607; 608; 609; 610; 612; 613; 613; 614; 615; 617; 619; 620; 621; 622; 624; 624; 625; 626; 627; 627; 629; 631; 632; 632; 633; 633; 633; 633; 633; 635; 637; 637; 638; 639; 640; 641; 642; 644; 645; 646; 646; 647; 647; 647; 649; 650; 654; 654; 654; 654; 655; 655; 656; 656; 657; 657; 657; 658; 660; 661; 665; 665; 669; 670; 670; 671; 672; 673; 673; 675; 676; 676; 679; 680; 680; 680; 681; 682; 684; 689; 690; 690; 691; 691; 692; 695; 696; 697; 697; 699; 699; 699; 700; 700; 701; 702; 702; 703; 704; 706; 707; 709; 709; 709; 710; 711; 711; 718; 719; 720; 723; 725; 726; 726; 728; 728; 729; 729; 730; 730; 731; 731; 732; 732; 737; 738; 738; 739; 739; 740; 741; 741; 741; 742; 742; 743; 743; 743; 743; 744; 745; 745; 747; 747; 748; 749; 749; 750; 750; 752; 755; 755; 757; 758; 758; 759; 760; 761; 762; 762; 763; 764; 764; 764; 766; 766; 767; 768; 768; 768; 769; 770; 771; 771; 771; 772; 773; 774; 774; 774; 777; 778; 778; 779; 779; 779; 783; 783; 784; 784; 784; 785; 787; 788; 791; 791; 792; 792; 792; 793; 793; 796; 796; 797; 797; 798; 798; 799; 801; 801; 802; 804; 806; 808; 810; 811; 814; 814; 814; 815; 815; 815; 816; 817; 818; 818; 818; 818; 819; 821; 822; 826; 827; 828; 830; 832; 833; 835; 836; 838; 838; 839; 841; 842; 843; 845; 846; 846; 848; 849; 849; 850; 853; 853; 854; 857; 857; 859; 860; 860; 862; 863; 863; 864; 864; 864; 865; 866; 866; 867; 867; 867; 868; 868; 871; 872; 872; 874; 874; 876; 876; 876; 877; 878; 879; 880; 881; 883; 883; 885; 887; 888; 889; 889; 889; 890; 892; 894; 895; 897; 897; 898; 899; 899; 901; 901; 903; 903; 905; 906; 907; 908; 909; 911; 911; 912; 916; 916; 917; 918; 918; 918; 919; 920; 920; 920; 922; 922; 923; 923; 926; 927; 929; 930; 930; 931; 932; 934; 935; 935; 936; 937; 940; 940; 940; 941; 942; 944; 945; 945; 945; 946; 947; 947; 949; 950; 951; 952; 955; 956; 956; 958; 960; 960; 960; 961; 963; 963; 964; 964; 965; 966; 967; 970; 970; 972; 973; 974; 975; 976; 976; 977; 978; 978; 981; 983; 987; 987; 988; 989; 992; 993; 993; 994; 995; 996; 997; 998; 998; 999; 999; 999; 1000; 1000; 1002; 1003; 1004; 1005; 1005; 1006; 1007; 1008; 1008; 1008; 1009; 1009; 1009; 1009; 1011; 1012; 1014; 1015; 1016; 1017; 1019; 1019; 1020; 1020; 1022; 1024; 1025; 1026; 1026; 1029; 1029; 1029; 1030; 1031; 1032; 1032; 1034; 1036; 1036; 1036; 1037; 1037; 1037; 1037; 1039; 1040; 1040; 1041; 1042; 1043; 1043; 1045; 1045; 1046; 1046; 1046; 1048; 1049; 1050; 1052; 1053; 1053; 1053; 1054; 1055; 1056; 1056; 1057; 1057; 1058; 1058; 1059; 1060; 1061; 1061; 1062; 1067; 1067; 1068; 1070; 1070; 1070; 1071; 1072; 1076; 1078; 1079; 1082; 1084; 1084; 1085; 1085; 1087; 1087; 1088; 1089; 1089; 1090; 1090; 1090; 1090; 1091; 1092; 1092; 1093; 1094; 1095; 1097; 1099; 1099; 1100; 1100; 1101; 1103; 1103; 1104; 1105; 1106; 1108; 1112; 1112; 1112; 1114; 1114; 1117; 1118; 1121; 1121; 1122; 1123; 1123; 1123; 1124; 1124; 1125; 1126; 1126; 1127; 1128; 1128; 1129; 1129; 1129; 1130; 1131; 1133; 1133; 1134; 1135; 1136; 1136; 1136; 1136; 1138; 1138; 1140; 1140; 1141; 1143; 1147; 1148; 1150; 1150; 1150; 1152; 1154; 1155; 1155; 1155; 1155; 1155; 1155; 1156; 1157; 1158; 1158; 1160; 1160; 1162; 1162; 1164; 1164; 1165; 1165; 1165; 1166; 1166; 1166; 1167; 1167; 1168; 1168; 1169; 1169; 1172; 1172; 1173; 1173; 1173; 1175; 1175; 1176; 1176; 1177; 1177; 1177; 1179; 1179; 1181; 1182; 1183; 1185; 1186; 1186; 1187; 1187; 1190; 1190; 1192; 1192; 1193; 1193; 1195; 1195; 1195; 1196; 1197; 1199; 1201; 1203; 1205; 1206; 1207; 1207; 1207; 1207; 1208; 1209; 1209; 1212; 1212; 1212; 1213; 1213; 1214; 1215; 1216; 1216; 1216; 1217; 1218; 1218; 1219; 1220; 1221; 1222; 1222; 1223; 1223; 1223; 1224; 1226; 1227; 1228; 1228; 1231; 1232; 1232; 1233; 1234; 1235; 1237; 1237; 1237; 1238; 1238; 1240; 1240; 1240; 1241; 1241; 1243; 1243; 1243; 1244; 1245; 1247; 1248; 1249; 1249; 1250; 1251; 1251; 1254; 1256; 1257; 1258; 1259; 1262; 1264; 1265; 1265; 1266; 1268; 1271; 1271; 1273; 1273; 1273; 1276; 1279; 1280; 1281; 1286; 1287; 1287; 1287; 1287; 1287; 1289; 1289; 1289; 1289; 1289; 1290; 1290; 1290; 1292; 1295; 1295; 1295; 1297; 1297; 1298; 1299; 1299; 1299; 1300; 1301; 1302; 1303; 1304; 1304; 1305; 1306; 1307; 1307; 1308; 1308; 1309; 1309; 1309; 1309; 1311; 1311; 1312; 1314; 1315; 1315; 1317; 1318; 1318; 1322; 1322; 1323; 1323; 1324; 1324; 1327; 1328; 1328; 1328; 1328; 1329; 1329; 1329; 1331; 1332; 1333; 1334; 1334; 1334; 1334; 1334; 1336; 1336; 1339; 1339; 1341; 1341; 1342; 1342; 1343; 1346; 1347; 1348; 1348; 1348; 1348; 1350; 1351; 1351; 1352; 1353; 1353; 1356; 1357; 1358; 1359; 1360; 1360; 1360; 1361; 1361; 1363; 1364; 1364; 1364; 1364; 1367; 1368; 1368; 1368; 1369; 1370; 1371; 1371; 1372; 1373; 1374; 1374; 1376; 1376; 1376; 1376; 1376; 1377; 1377; 1377; 1378; 1380; 1380; 1381; 1382; 1383; 1383; 1384; 1384; 1384; 1385; 1385; 1385; 1388; 1388; 1388; 1388; 1389; 1389; 1389; 1391; 1392; 1393; 1395; 1398; 1399; 1399; 1400; 1400; 1402; 1402; 1403; 1403; 1404; 1404; 1406; 1407; 1409; 1415; 1416; 1418; 1420; 1420; 1421; 1423; 1423; 1424; 1424; 1426; 1426; 1426; 1427; 1428; 1428; 1429; 1429; 1430; 1430; 1430; 1431; 1434; 1434; 1434; 1437; 1437; 1438; 1441; 1441; 1442; 1442; 1442; 1442; 1443; 1447; 1453; 1453; 1456; 1457; 1457; 1458; 1459; 1459; 1459; 1459; 1460; 1461; 1461; 1462; 1463; 1463; 1463; 1463; 1463; 1466; 1467; 1467; 1468; 1468; 1468; 1469; 1469; 1470; 1471; 1471; 1474; 1475; 1476; 1476; 1478; 1478; 1479; 1479; 1480; 1483; 1484; 1485; 1487; 1487; 1487; 1488; 1489; 1490; 1491; 1492; 1496; 1497; 1499; 1499; 1500; 1503; 1503; 1503; 1503; 1504; 1504; 1505; 1506; 1507; 1511; 1511; 1512; 1513; 1513; 1514; 1515; 1516; 1516; 1516; 1517; 1517; 1519; 1523; 1523; 1523; 1524; 1524; 1526; 1527; 1528; 1533; 1533; 1535; 1536; 1538; 1539; 1541; 1541; 1542; 1542; 1542; 1542; 1543; 1543; 1545; 1545; 1546; 1550; 1550; 1550; 1551; 1552; 1553; 1553; 1553; 1554; 1555; 1555; 1558; 1558; 1559; 1559; 1559; 1560; 1561; 1563; 1563; 1563; 1566; 1567; 1571; 1571; 1571; 1572; 1573; 1574; 1575; 1577; 1577; 1580; 1580; 1583; 1584; 1584; 1584; 1584; 1585; 1585; 1586; 1586; 1586; 1587; 1588; 1588; 1589; 1591; 1591; 1593; 1593; 1598; 1598; 1598; 1598; 1599; 1599; 1600; 1600; 1600; 1602; 1602; 1602; 1606; 1607; 1607; 1607; 1607; 1611; 1612; 1616; 1618; 1619; 1621; 1621; 1622; 1623; 1623; 1626; 1626; 1626; 1627; 1628; 1631; 1631; 1632; 1634; 1635; 1635; 1637; 1637; 1639; 1642; 1643; 1644; 1644; 1645; 1645; 1646; 1646; 1646; 1647; 1648; 1649; 1649; 1650; 1651; 1651; 1657; 1657; 1658; 1659; 1660; 1660; 1662; 1664; 1665; 1665; 1665; 1665; 1666; 1666; 1667; 1670; 1670; 1671; 1671; 1671; 1671; 1672; 1675; 1676; 1677; 1677; 1677; 1677; 1678; 1678; 1679; 1679; 1680; 1681; 1683; 1685; 1685; 1685; 1687; 1687; 1687; 1688; 1691; 1691; 1694; 1696; 1696; 1696; 1698; 1699; 1699; 1700; 1701; 1701; 1702; 1702; 1703; 1704; 1705; 1706; 1706; 1707; 1708; 1708; 1709; 1712; 1712; 1714; 1714; 1714; 1715; 1715; 1715; 1716; 1717; 1718; 1718; 1719; 1720; 1722; 1722; 1724; 1724; 1726; 1728; 1731; 1731; 1731; 1731; 1732; 1733; 1733; 1733; 1734; 1736; 1738; 1738; 1739; 1741; 1743; 1744; 1744; 1747; 1749; 1750; 1751; 1752; 1752; 1753; 1754; 1755; 1756; 1757; 1757; 1757; 1757; 1758; 1759; 1760; 1760; 1761; 1762; 1762; 1763; 1764; 1765; 1767; 1768; 1769; 1771; 1771; 1772; 1772; 1777; 1777; 1779; 1779; 1779; 1780; 1781; 1781; 1782; 1784; 1786; 1790; 1791; 1792; 1795; 1797; 1798; 1800; 1801; 1804; 1806; 1807; 1807; 1808; 1810; 1810; 1811; 1811; 1812; 1813; 1813; 1815; 1819; 1819; 1821; 1826; 1829; 1830; 1830; 1830; 1831; 1832; 1832; 1832; 1833; 1834; 1834; 1834; 1834; 1834; 1836; 1838; 1839; 1840; 1840; 1840; 1841; 1842; 1842; 1843; 1843; 1844; 1845; 1845; 1846; 1848; 1850; 1851; 1852; 1853; 1854; 1854; 1855; 1856; 1857; 1857; 1860; 1862; 1863; 1864; 1864; 1866; 1867; 1867; 1868; 1869; 1871; 1871; 1872; 1873; 1874; 1874; 1875; 1875; 1875; 1876; 1877; 1879; 1880; 1881; 1881; 1884; 1884; 1885; 1886; 1886; 1887; 1888; 1889; 1889; 1890; 1890; 1890; 1890; 1891; 1891; 1891; 1892; 1892; 1893; 1893; 1895; 1896; 1897; 1899; 1900; 1900; 1901; 1901; 1901; 1904; 1905; 1907; 1908; 1909; 1909; 1909; 1910; 1912; 1913; 1913; 1913; 1913; 1915; 1917; 1920; 1922; 1925; 1925; 1925; 1926; 1926; 1927; 1927; 1928; 1928; 1929; 1930; 1930; 1930; 1931; 1932; 1932; 1933; 1936; 1936; 1937; 1938; 1938; 1939; 1940; 1941; 1942; 1943; 1943; 1943; 1943; 1944; 1945; 1945; 1945; 1946; 1946; 1949; 1950; 1950; 1951; 1951; 1953; 1954; 1954; 1955; 1958; 1960; 1961; 1961; 1962; 1963; 1963; 1965; 1966; 1969; 1969; 1971; 1972; 1972; 1973; 1975; 1977; 1981; 1981; 1983; 1983; 1985; 1990; 1991; 1992; 1993; 1993; 1993; 1993; 1994; 1995; 1995; 1996; 1997; 1997; 1997; 1998; 2000; 2000; 2002; 2002; 2005; 2006; 2006; 2006; 2006; 2007; 2007; 2008; 2009; 2009; 2011; 2011; 2013; 2016; 2016; 2016; 2017; 2017; 2017; 2019; 2019; 2020; 2020; 2021; 2021; 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53115; 53115; 53118; 53118; 53119; 53119; 53120; 53122; 53122; 53123; 53123; 53123; 53128; 53128; 53128; 53129; 53132; 53137; 53138; 53140; 53142; 53144; 53145; 53146; 53148; 53149; 53152; 53153; 53156; 53159; 53159; 53160; 53162; 53165; 53165; 53167; 53168; 53168; 53170; 53170; 53170; 53171; 53171; 53171; 53177; 53179; 53179; 53180; 53180; 53181; 53182; 53184; 53185; 53186; 53187; 53188; 53188; 53188; 53190; 53190; 53192; 53193; 53194; 53195; 53197; 53198; 53199; 53200; 53202; 53202; 53204; 53204; 53206; 53207; 53209; 53210; 53210; 53211; 53211; 53213; 53217; 53217; 53220; 53220; 53221; 53223; 53223; 53223; 53223; 53224; 53224; 53225; 53227; 53231; 53231; 53231; 53232; 53233; 53233; 53234; 53234; 53235; 53238; 53239; 53243; 53244; 53246; 53248; 53248; 53254; 53254; 53256; 53258; 53261; 53263; 53266; 53266; 53268; 53269; 53270; 53271; 53275; 53277; 53277; 53280; 53282; 53282; 53282; 53283; 53284; 53285; 53285; 53286; 53286; 53286; 53287; 53288; 53288; 53288; 53288; 53291; 53293; 53298; 53298; 53299; 53304; 53305; 53306; 53307; 53308; 53308; 53309; 53314; 53315; 53315; 53316; 53319; 53319; 53320; 53320; 53325; 53330; 53336; 53336; 53336; 53336; 53341; 53347; 53348; 53349; 53349; 53352; 53353; 53354; 53357; 53357; 53357; 53358; 53360; 53360; 53361; 53361; 53366; 53366; 53369; 53371; 53372; 53373; 53376; 53376; 53380; 53380; 53380; 53382; 53382; 53382; 53384; 53385; 53387; 53390; 53391; 53391; 53391; 53393; 53393; 53393; 53400; 53400; 53401; 53401; 53402; 53403; 53407; 53407; 53408; 53412; 53413; 53413; 53414; 53415; 53415; 53419; 53422; 53422; 53424; 53426; 53427; 53427; 53429; 53432; 53434; 53436; 53436; 53437; 53439; 53443; 53445; 53448; 53449; 53449; 53452; 53452; 53452; 53453; 53456; 53456; 53456; 53457; 53457; 53458; 53460; 53464; 53465; 53465; 53467; 53469; 53470; 53473; 53473; 53475; 53476; 53477; 53479; 53480; 53482; 53482; 53486; 53487; 53487; 53488; 53490; 53491; 53492; 53494; 53495; 53496; 53498; 53500; 53503; 53504; 53504; 53505; 53506; 53512; 53513; 53515; 53516; 53516; 53517; 53517; 53519; 53520; 53520; 53520; 53521; 53523; 53526; 53526; 53528; 53529; 53530; 53531; 53531; 53532; 53533; 53535; 53536; 53536; 53537; 53537; 53537; 53538; 53540; 53541; 53542; 53544; 53545; 53546; 53548; 53549; 53550; 53551; 53552; 53556; 53557; 53557; 53558; 53562; 53562; 53565; 53567; 53569; 53570; 53570; 53572; 53572; 53573; 53573; 53577; 53578; 53578; 53580; 53582; 53582; 53583; 53585; 53586; 53587; 53589; 53590; 53593; 53595; 53595; 53598; 53598; 53599; 53599; 53604; 53605; 53605; 53605; 53609; 53609; 53609; 53609; 53609; 53610; 53610; 53612; 53614; 53617; 53618; 53619; 53620; 53621; 53625; 53625; 53629; 53634; 53634; 53639; 53643; 53644; 53645; 53646; 53646; 53647; 53653; 53653; 53654; 53654; 53655; 53656; 53657; 53657; 53658; 53658; 53659; 53659; 53661; 53663; 53665; 53665; 53667; 53668; 53671; 53673; 53676; 53676; 53676; 53678; 53679; 53679; 53681; 53683; 53684; 53684; 53686; 53689; 53691; 53692; 53695; 53698; 53699; 53701; 53702; 53703; 53704; 53707; 53708; 53710; 53710; 53711; 53714; 53714; 53716; 53716; 53716; 53722; 53723; 53723; 53723; 53725; 53725; 53725; 53726; 53729; 53729; 53731; 53732; 53732; 53733; 53736; 53736; 53738; 53739; 53739; 53739; 53740; 53745; 53746; 53746; 53748; 53748; 53749; 53751; 53752; 53753; 53754; 53755; 53756; 53757; 53757; 53759; 53759; 53761; 53761; 53764; 53765; 53768; 53769; 53769; 53770; 53772; 53775; 53777; 53777; 53779; 53779; 53780; 53781; 53783; 53785; 53786; 53789; 53792; 53793; 53793; 53794; 53798; 53799; 53799; 53800; 53802; 53802; 53804; 53804; 53806; 53806; 53807; 53809; 53810; 53811; 53814; 53814; 53815; 53815; 53815; 53815; 53816; 53817; 53820; 53822; 53823; 53823; 53825; 53828; 53828; 53831; 53832; 53833; 53833; 53836; 53836; 53837; 53839; 53840; 53840; 53842; 53843; 53845; 53851; 53856; 53857; 53858; 53865; 53865; 53868; 53872; 53872; 53874; 53874; 53877; 53879; 53881; 53881; 53882; 53883; 53883; 53886; 53888; 53890; 53891; 53894; 53896; 53900; 53901; 53903; 53906; 53906; 53908; 53909; 53912; 53913; 53913; 53914; 53917; 53917; 53917; 53918; 53919; 53921; 53921; 53922; 53923; 53929; 53929; 53930; 53931; 53931; 53934; 53937; 53939; 53939; 53944; 53944; 53947; 53952; 53952; 53957; 53959; 53962; 53963; 53964; 53966; 53968; 53970; 53971; 53973; 53974; 53974; 53974; 53975; 53975; 53976; 53977; 53977; 53978; 53980; 53984; 53987; 53990; 53991; 53992; 53992; 53994; 53994; 53995; 53999; 54000; 54001; 54001; 54003; 54003; 54004; 54005; 54007; 54008; 54009; 54010; 54013; 54014; 54014; 54014; 54015; 54015; 54015; 54016; 54016; 54016; 54018; 54018; 54020; 54020; 54022; 54024; 54026; 54028; 54029; 54030; 54032; 54032; 54036; 54036; 54039; 54042; 54046; 54050; 54050; 54051; 54053; 54054; 54057; 54057; 54057; 54058; 54058; 54060; 54060; 54060; 54061; 54061; 54064; 54064; 54065; 54066; 54070; 54071; 54071; 54072; 54073; 54074; 54076; 54076; 54078; 54079; 54079; 54080; 54080; 54081; 54081; 54082; 54082; 54083; 54083; 54083; 54083; 54084; 54084; 54085; 54088; 54092; 54093; 54095; 54095; 54097; 54103; 54103; 54105; 54107; 54108; 54110; 54112; 54113; 54115; 54119; 54121; 54124; 54125; 54125; 54128; 54132; 54133; 54135; 54136; 54136; 54137; 54140; 54141; 54142; 54145; 54146; 54146; 54150; 54151; 54151; 54155; 54157; 54159; 54160; 54161; 54162; 54162; 54164; 54164; 54166; 54170; 54170; 54172; 54174; 54174; 54180; 54182; 54183; 54185; 54188; 54188; 54189; 54190; 54191; 54193; 54194; 54195; 54196; 54200; 54200; 54202; 54203; 54205; 54206; 54209; 54209; 54209; 54210; 54211; 54212; 54216; 54217; 54218; 54218; 54221; 54223; 54224; 54225; 54226; 54226; 54227; 54229; 54231; 54232; 54233; 54234; 54234; 54235; 54236; 54236; 54237; 54238; 54239; 54239; 54240; 54241; 54241; 54244; 54247; 54249; 54249; 54250; 54251; 54251; 54254; 54254; 54254; 54255; 54257; 54257; 54262; 54263; 54266; 54267; 54267; 54268; 54271; 54271; 54275; 54276; 54277; 54277; 54279; 54280; 54281; 54286; 54286; 54286; 54287; 54287; 54289; 54289; 54289; 54290; 54292; 54292; 54294; 54294; 54302; 54302; 54303; 54303; 54303; 54304; 54304; 54306; 54308; 54309; 54311; 54312; 54314; 54315; 54315; 54317; 54320; 54321; 54322; 54324; 54327; 54327; 54332; 54333; 54334; 54335; 54337; 54338; 54339; 54339; 54340; 54340; 54340; 54341; 54344; 54344; 54346; 54349; 54349; 54351; 54353; 54354; 54355; 54357; 54357; 54357; 54361; 54361; 54361; 54363; 54363; 54363; 54364; 54364; 54365; 54367; 54368; 54369; 54370; 54370; 54370; 54372; 54374; 54374; 54376; 54376; 54380; 54380; 54382; 54383; 54386; 54386; 54387; 54390; 54390; 54391; 54392; 54392; 54393; 54393; 54393; 54394; 54396; 54397; 54399; 54399; 54405; 54406; 54406; 54407; 54408; 54410; 54410; 54410; 54413; 54413; 54414; 54417; 54417; 54418; 54420; 54421; 54422; 54422; 54424; 54424; 54426; 54427; 54429; 54430; 54432; 54432; 54433; 54433; 54435; 54436; 54436; 54439; 54439; 54441; 54441; 54442; 54445; 54445; 54448; 54448; 54453; 54456; 54461; 54462; 54463; 54464; 54466; 54466; 54468; 54470; 54475; 54476; 54478; 54479; 54480; 54483; 54485; 54485; 54487; 54490; 54491; 54491; 54492; 54495; 54496; 54496; 54502; 54504; 54504; 54505; 54505; 54506; 54508; 54508; 54509; 54511; 54512; 54512; 54514; 54516; 54517; 54517; 54522; 54523; 54523; 54523; 54524; 54524; 54525; 54526; 54527; 54528; 54528; 54530; 54530; 54533; 54533; 54534; 54539; 54539; 54539; 54539; 54541; 54541; 54544; 54544; 54545; 54546; 54548; 54552; 54552; 54553; 54555; 54557; 54559; 54561; 54562; 54563; 54563; 54564; 54566; 54570; 54574; 54575; 54575; 54576; 54578; 54578; 54579; 54581; 54583; 54586; 54587; 54587; 54587; 54592; 54593; 54593; 54594; 54594; 54594; 54595; 54595; 54598; 54600; 54604; 54606; 54608; 54610; 54613; 54613; 54615; 54616; 54620; 54623; 54627; 54628; 54629; 54629; 54632; 54632; 54635; 54635; 54636; 54637; 54639; 54640; 54641; 54641; 54642; 54643; 54644; 54644; 54645; 54645; 54646; 54648; 54648; 54649; 54650; 54651; 54651; 54652; 54653; 54654; 54655; 54656; 54663; 54667; 54667; 54668; 54670; 54670; 54672; 54674; 54676; 54676; 54678; 54680; 54683; 54683; 54685; 54686; 54687; 54689; 54690; 54691; 54697; 54697; 54698; 54700; 54702; 54703; 54703; 54704; 54705; 54706; 54708; 54708; 54711; 54712; 54713; 54714; 54715; 54716; 54716; 54718; 54718; 54718; 54720; 54721; 54729; 54729; 54731; 54734; 54735; 54738; 54739; 54739; 54743; 54744; 54747; 54751; 54751; 54752; 54754; 54754; 54755; 54755; 54755; 54758; 54760; 54762; 54762; 54765; 54766; 54766; 54767; 54767; 54768; 54768; 54768; 54769; 54770; 54770; 54772; 54772; 54773; 54773; 54774; 54777; 54778; 54781; 54782; 54783; 54784; 54786; 54788; 54790; 54790; 54791; 54792; 54793; 54795; 54803; 54804; 54805; 54807; 54809; 54810; 54810; 54811; 54811; 54813; 54815; 54818; 54821; 54821; 54825; 54828; 54828; 54829; 54830; 54831; 54831; 54832; 54832; 54834; 54836; 54837; 54837; 54838; 54838; 54839; 54840; 54840; 54840; 54840; 54841; 54853; 54853; 54853; 54854; 54855; 54856; 54857; 54858; 54862; 54863; 54863; 54863; 54864; 54868; 54870; 54871; 54873; 54874; 54874; 54875; 54880; 54880; 54881; 54881; 54883; 54883; 54884; 54885; 54885; 54886; 54888; 54890; 54892; 54893; 54893; 54894; 54894; 54895; 54898; 54898; 54898; 54898; 54899; 54901; 54902; 54902; 54903; 54909; 54909; 54909; 54910; 54913; 54913; 54915; 54916; 54917; 54918; 54919; 54919; 54920; 54924; 54925; 54926; 54927; 54927; 54932; 54934; 54935; 54944; 54951; 54951; 54952; 54956; 54958; 54958; 54960; 54963; 54963; 54964; 54967; 54968; 54976; 54978; 54979; 54979; 54979; 54983; 54984; 54985; 54988; 54988; 54988; 54988; 54989; 54989; 54990; 54991; 54992; 54993; 54994; 54996; 54996; 54999; 55001; 55001; 55001; 55005; 55005; 55008; 55009; 55010; 55010; 55013; 55015; 55015; 55015; 55016; 55017; 55019; 55020; 55020; 55023; 55024; 55026; 55027; 55028; 55030; 55031; 55037; 55039; 55039; 55042; 55043; 55046; 55047; 55048; 55048; 55051; 55052; 55053; 55056; 55056; 55057; 55057; 55058; 55064; 55065; 55066; 55066; 55067; 55068; 55068; 55069; 55071; 55071; 55074; 55076; 55077; 55079; 55080; 55080; 55085; 55087; 55088; 55089; 55090; 55090; 55090; 55091; 55092; 55093; 55094; 55094; 55098; 55099; 55099; 55100; 55101; 55102; 55103; 55108; 55109; 55109; 55110; 55112; 55112; 55113; 55115; 55115; 55117; 55120; 55120; 55121; 55122; 55122; 55122; 55123; 55123; 55123; 55125; 55125; 55126; 55127; 55128; 55128; 55129; 55129; 55130; 55130; 55132; 55133; 55133; 55133; 55134; 55134; 55134; 55136; 55137; 55138; 55139; 55139; 55140; 55141; 55142; 55144; 55146; 55146; 55148; 55148; 55148; 55150; 55150; 55150; 55152; 55153; 55154; 55155; 55158; 55164; 55165; 55166; 55168; 55169; 55172; 55172; 55173; 55173; 55176; 55176; 55177; 55179; 55179; 55182; 55182; 55182; 55183; 55184; 55185; 55187; 55187; 55189; 55190; 55193; 55195; 55197; 55203; 55204; 55204; 55204; 55205; 55205; 55208; 55209; 55210; 55212; 55216; 55216; 55216; 55218; 55219; 55219; 55223; 55223; 55224; 55231; 55233; 55236; 55238; 55239; 55239; 55240; 55242; 55243; 55244; 55244; 55248; 55248; 55249; 55250; 55251; 55253; 55254; 55254; 55255; 55257; 55258; 55260; 55261; 55261; 55262; 55262; 55264; 55266; 55270; 55270; 55271; 55271; 55272; 55275; 55276; 55277; 55278; 55279; 55279; 55280; 55281; 55281; 55282; 55283; 55284; 55285; 55286; 55289; 55289; 55290; 55292; 55293; 55294; 55295; 55296; 55298; 55301; 55302; 55303; 55304; 55304; 55306; 55307; 55308; 55309; 55309; 55311; 55312; 55315; 55315; 55318; 55320; 55320; 55321; 55322; 55323; 55323; 55327; 55332; 55333; 55337; 55338; 55338; 55339; 55340; 55340; 55341; 55341; 55342; 55344; 55345; 55345; 55345; 55346; 55346; 55346; 55351; 55351; 55354; 55356; 55357; 55361; 55363; 55364; 55367; 55368; 55368; 55369; 55369; 55370; 55370; 55371; 55372; 55373; 55377; 55378; 55378; 55378; 55378; 55380; 55380; 55383; 55383; 55384; 55384; 55387; 55387; 55387; 55389; 55389; 55391; 55391; 55392; 55392; 55392; 55394; 55395; 55397; 55397; 55400; 55400; 55400; 55400; 55401; 55408; 55408; 55412; 55413; 55420; 55423; 55423; 55424; 55424; 55426; 55426; 55426; 55429; 55433; 55433; 55434; 55434; 55436; 55442; 55448; 55449; 55450; 55451; 55452; 55452; 55453; 55454; 55454; 55456; 55458; 55460; 55460; 55461; 55462; 55465; 55468; 55469; 55469; 55470; 55473; 55474; 55475; 55477; 55479; 55480; 55481; 55483; 55483; 55485; 55485; 55485; 55485; 55485; 55486; 55486; 55487; 55487; 55490; 55491; 55492; 55494; 55495; 55496; 55496; 55496; 55498; 55499; 55501; 55502; 55503; 55503; 55504; 55506; 55507; 55509; 55509; 55510; 55511; 55514; 55517; 55517; 55519; 55519; 55520; 55521; 55523; 55524; 55525; 55526; 55528; 55528; 55529; 55530; 55531; 55533; 55534; 55535; 55543; 55544; 55545; 55549; 55549; 55550; 55552; 55552; 55554; 55555; 55557; 55557; 55557; 55567; 55568; 55569; 55571; 55574; 55574; 55574; 55575; 55577; 55578; 55578; 55579; 55581; 55581; 55581; 55581; 55583; 55586; 55588; 55589; 55591; 55592; 55595; 55597; 55599; 55600; 55601; 55601; 55601; 55602; 55604; 55607; 55609; 55611; 55611; 55614; 55615; 55616; 55616; 55617; 55617; 55618; 55619; 55620; 55621; 55622; 55622; 55624; 55624; 55625; 55626; 55628; 55630; 55630; 55637] 55640) + +let test6 _ = assert_equal 6 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36037; 36038; 36038; 36038; 36040; 36040; 36040; 36042; 36042; 36043; 36043; 36044; 36045; 36045; 36045; 36046; 36046; 36046; 36047; 36047; 36047; 36048; 36048; 36048; 36048; 36048; 36050; 36051; 36051; 36052; 36052; 36055; 36056; 36056; 36057; 36059; 36059; 36059; 36060; 36061; 36061; 36062; 36062; 36062; 36063; 36067; 36068; 36068; 36071; 36074; 36074; 36074; 36077; 36077; 36077; 36079; 36079; 36080; 36080; 36081; 36081; 36081; 36082; 36083; 36083; 36084; 36085; 36085; 36085; 36086; 36086; 36086; 36087; 36087; 36087; 36088; 36089; 36089; 36090; 36091; 36092; 36092; 36093; 36094; 36094; 36094; 36094; 36095; 36095; 36096; 36097; 36097; 36097; 36099; 36100; 36100; 36100; 36100; 36101; 36101; 36101; 36102; 36103; 36103; 36104; 36105; 36106; 36107; 36108; 36108; 36109; 36110; 36110; 36112; 36112; 36113; 36115; 36115; 36116; 36117; 36117; 36120; 36120; 36120; 36121; 36121; 36121; 36121; 36123; 36123; 36124; 36125; 36126; 36127; 36127; 36127; 36128; 36130; 36131; 36131; 36131; 36132; 36133; 36133; 36134; 36134; 36135; 36135; 36135; 36136; 36137; 36137; 36138; 36138; 36139; 36139; 36139; 36141; 36141; 36142; 36142; 36143; 36144; 36145; 36146; 36147; 36148; 36149; 36149; 36149; 36150; 36151; 36152; 36152; 36152; 36153; 36153; 36153; 36158; 36158; 36158; 36158; 36159; 36159; 36162; 36163; 36164; 36164; 36165; 36166; 36167; 36168; 36168; 36168; 36169; 36169; 36170; 36170; 36172; 36174; 36175; 36175; 36175; 36176; 36178; 36178; 36179; 36180; 36181; 36181; 36183; 36183; 36183; 36184; 36185; 36185; 36185; 36185; 36187; 36188; 36188; 36191; 36192; 36192; 36193; 36194; 36194; 36194; 36194; 36195; 36196; 36197; 36198; 36198; 36200; 36201; 36201; 36202; 36203; 36203; 36203; 36204; 36204; 36204; 36206; 36206; 36208; 36208; 36209; 36209; 36209; 36210; 36212; 36212; 36213; 36213; 36214; 36215; 36215; 36217; 36218; 36218; 36218; 36219; 36220; 36221; 36221; 36221; 36221; 36221; 36221; 36221; 36221; 36222; 36222; 36222; 36222; 36224; 36225; 36225; 36226; 36228; 36228; 36229; 36231; 36232; 36233; 36234; 36234; 36235; 36235; 36235; 36235; 36235; 36236; 36237; 36237; 36237; 36237; 36238; 36238; 36238; 36239; 36240; 36241; 36242; 36242; 36243; 36243; 36244; 36244; 36244; 36245; 36245; 36246; 36246; 36247; 36247; 36247; 36247; 36248; 36250; 36250; 36251; 36251; 36251; 36253; 36254; 36254; 36255; 36255; 36255; 36255; 36255; 36256; 36257; 36257; 36258; 36258; 36260; 36260; 36262; 36263; 36263; 36265; 36265; 36266; 36266; 36267; 36268; 36268; 36268; 36268; 36269; 36269; 36270; 36270; 36271; 36271; 36272; 36274; 36274; 36276; 36277; 36278; 36279; 36279; 36280; 36280; 36281; 36281; 36282; 36282; 36284; 36284; 36285; 36285; 36285; 36286; 36289; 36289; 36289; 36290; 36291; 36292; 36292; 36292; 36293; 36293; 36294; 36296; 36296; 36297; 36298; 36298; 36299; 36299; 36299; 36300; 36300; 36300; 36301; 36301; 36303; 36303; 36303; 36303; 36304; 36304; 36305; 36307; 36307; 36307; 36308; 36309; 36309; 36310; 36310; 36311; 36312; 36312; 36312; 36312; 36314; 36316; 36317; 36317; 36317; 36318; 36318; 36319; 36319; 36320; 36320; 36320; 36321; 36324; 36324; 36324; 36325; 36325; 36325; 36326; 36326; 36327; 36327; 36328; 36328; 36329; 36330; 36330; 36330; 36331; 36331; 36331; 36331; 36331; 36332; 36332; 36332; 36332; 36333; 36333; 36334; 36334; 36335; 36336; 36337; 36337; 36337; 36338; 36339; 36341; 36341; 36343; 36344; 36345; 36345; 36346; 36347; 36347; 36347; 36348; 36349; 36349; 36350; 36350; 36351; 36351; 36352; 36353; 36355; 36356; 36356; 36357; 36358; 36359; 36360; 36360; 36360; 36361; 36363; 36363; 36367; 36367; 36367; 36367; 36367; 36367; 36367; 36368; 36368; 36371; 36372; 36372; 36374; 36374; 36374; 36375; 36376; 36377; 36378; 36378; 36378; 36380; 36380; 36380; 36380; 36382; 36383; 36383; 36384; 36386; 36386; 36388; 36389; 36390; 36390; 36392; 36392; 36392; 36395; 36395; 36395; 36396; 36396; 36398; 36398; 36399; 36399; 36399; 36399; 36402; 36402; 36402; 36403; 36404; 36405; 36405; 36405; 36406; 36406; 36406; 36407; 36407; 36408; 36408; 36408; 36409; 36409; 36410; 36413; 36413; 36415; 36416; 36416; 36417; 36418; 36418; 36419; 36419; 36420; 36420; 36422; 36423; 36424; 36424; 36425; 36426; 36426; 36427; 36427; 36427; 36427; 36428; 36428; 36430; 36432; 36433; 36436; 36437; 36437; 36438; 36438; 36438; 36440; 36442; 36442; 36444; 36444; 36445; 36445; 36445; 36445; 36445; 36445; 36446; 36447; 36448; 36448; 36448; 36450; 36450; 36451; 36452; 36452; 36453; 36454; 36454; 36455; 36455; 36455; 36455; 36456; 36458; 36458; 36459; 36459; 36461; 36461; 36462; 36463; 36463; 36465; 36466; 36466; 36466; 36467; 36468; 36468; 36469; 36469; 36470; 36471; 36472; 36472; 36473; 36473; 36474; 36476; 36478; 36478; 36478; 36478; 36480; 36480; 36480; 36480; 36480; 36481; 36482; 36482; 36483; 36484; 36485; 36486; 36486; 36489; 36490; 36491; 36491; 36492; 36493; 36493; 36493; 36494; 36494; 36494; 36495; 36495; 36496; 36496; 36496; 36500; 36501; 36501; 36501; 36502; 36502; 36503; 36503; 36504; 36504; 36504; 36505; 36505; 36506; 36506; 36506; 36507; 36508; 36508; 36509; 36510; 36510; 36510; 36510; 36511; 36511; 36511; 36512; 36512; 36513; 36513; 36514; 36514; 36514; 36515; 36515; 36516; 36516; 36518; 36518; 36520; 36520; 36520; 36521; 36521; 36521; 36523; 36524; 36524; 36525; 36525; 36526; 36526; 36527; 36528; 36528; 36529; 36531; 36532; 36532; 36533; 36534; 36534; 36534; 36534; 36534; 36534; 36535; 36535; 36535; 36536; 36536; 36539; 36539; 36540; 36540; 36540; 36541; 36542; 36542; 36542; 36543; 36543; 36546; 36547; 36547; 36549; 36550; 36550; 36550; 36551; 36552; 36555; 36555; 36557; 36557; 36558; 36559; 36559; 36560; 36560; 36561; 36561; 36561; 36561; 36561; 36562; 36564; 36564; 36564; 36565; 36565; 36566; 36566; 36567; 36567; 36568; 36569; 36570; 36571; 36571; 36571; 36572; 36572; 36573; 36574; 36575; 36576; 36576; 36577; 36577; 36577; 36577; 36577; 36579; 36579; 36579; 36580; 36580; 36580; 36581; 36581; 36581; 36584; 36585; 36586; 36586; 36586; 36587; 36587; 36587; 36588; 36588; 36589; 36590; 36590; 36591; 36592; 36592; 36595; 36595; 36595; 36595; 36596; 36596; 36596; 36597; 36597; 36599; 36599; 36600; 36600; 36601; 36602; 36603; 36603; 36603; 36604; 36606; 36606; 36608; 36610; 36611; 36611; 36612; 36612; 36613; 36614; 36614; 36614; 36614; 36614; 36615; 36615; 36616; 36616; 36616; 36616; 36617; 36617; 36619; 36619; 36619; 36620; 36621; 36621; 36621; 36621; 36622; 36622; 36623; 36623; 36625; 36625; 36625; 36625; 36626; 36626; 36627; 36627; 36627; 36628; 36629; 36630; 36630; 36630; 36631; 36631; 36632; 36632; 36632; 36632; 36633; 36633; 36634; 36635; 36636; 36636; 36638; 36638; 36638; 36639; 36642; 36643; 36643; 36643; 36644; 36644; 36644; 36645; 36645; 36645; 36646; 36646; 36647; 36648; 36649; 36649; 36649; 36649; 36649; 36649; 36650; 36650; 36651; 36651; 36651] 36652) + +let test8 _ = assert_equal 0 (minimumAddedCoins [1; 1; 1; 1; 2; 3; 3; 4; 5; 6; 7; 7; 7; 7; 9; 10; 10; 11; 12; 13; 14; 14; 19; 20; 20; 20; 21; 21; 22; 22; 23; 23; 23; 24; 24; 25; 25; 26; 27; 28; 28; 28; 30; 31; 32; 32; 33; 33; 34; 34; 35; 35; 35; 36; 36; 36; 39; 39; 40; 40; 41; 41; 41; 42; 42; 45; 45; 46; 47; 48; 48; 49; 51; 51; 52; 52; 52; 53; 53; 54; 55; 55; 55; 56; 56; 57; 57; 58; 59; 60; 60; 61; 61; 61; 61; 64; 64; 65; 65; 66; 66; 66; 67; 67; 67; 68; 68; 68; 69; 69; 69; 69; 69; 69; 70; 71; 71; 72; 73; 73; 73; 73; 74; 75; 75; 76; 76; 77; 78; 79; 80; 80; 80; 82; 82; 82; 84; 86; 86; 86; 87; 87; 87; 88; 88; 88; 88; 89; 89; 89; 89; 89; 90; 90; 91; 91; 92; 93; 93; 93; 93; 94; 95; 95; 96; 97; 98; 98; 98; 99; 100; 100; 100; 103; 104; 105; 106; 107; 107; 108; 108; 111; 111; 111; 111; 112; 112; 112; 113; 113; 113; 113; 114; 115; 115; 115; 116; 116; 117; 117; 117; 117; 117; 118; 118; 121; 122; 122; 122; 122; 123; 123; 123; 123; 123; 125; 125; 125; 127; 127; 128; 129; 130; 131; 131; 131; 132; 133; 135; 138; 138; 138; 139; 139; 139; 140; 141; 143; 143; 144; 144; 144; 145; 147; 147; 148; 148; 149; 150; 150; 150; 151; 151; 151; 152; 152; 152; 153; 154; 154; 157; 157; 157; 158; 158; 159; 159; 160; 160; 160; 161; 161; 162; 162; 164; 164; 164; 166; 166; 167; 167; 168; 168; 168; 168; 169; 169; 170; 170; 171; 171; 171; 172; 172; 172; 172; 173; 173; 173; 173; 176; 176; 176; 177; 177; 177; 177; 178; 178; 178; 179; 179; 180; 180; 180; 181; 181; 181; 181; 182; 182; 184; 185; 186; 187; 187; 187; 187; 188; 190; 191; 191; 191; 191; 192; 193; 194; 194; 195; 195; 195; 196; 196; 197; 197; 197; 197; 198; 199; 200; 201; 202; 202; 202; 205; 205; 205; 206; 206; 206; 207; 207; 208; 208; 208; 209; 209; 209; 210; 210; 210; 211; 211; 211; 212; 212; 213; 213; 213; 213; 213; 213; 213; 213; 216; 216; 216; 217; 217; 217; 218; 220; 221; 222; 222; 222; 223; 224; 224; 225; 226; 226; 227; 228; 228; 230; 230; 230; 231; 231; 231; 233; 234; 234; 234; 234; 235; 235; 236; 236; 236; 236; 238; 238; 239; 239; 241; 241; 242; 242; 245; 245; 245; 246; 247; 248; 249; 249; 250; 250; 251; 251; 251; 251; 252; 252; 252; 253; 254; 256; 256; 257; 257; 258; 258; 258; 258; 259; 260; 261; 262; 263; 263; 263; 263; 264; 264; 266; 266; 266; 267; 267; 268; 268; 268; 269; 269; 271; 271; 275; 275; 275; 275; 275; 276; 277; 277; 277; 277; 277; 277; 278; 278; 279; 279; 280; 280; 280; 281; 281; 281; 281; 282; 282; 282; 282; 282; 283; 283; 284; 285; 285; 285; 285; 287; 287; 288; 290; 290; 290; 291; 292; 292; 293; 294; 294; 295; 296; 297; 297; 297; 297; 297; 299; 299; 299; 300; 300; 300; 300; 300; 301; 302; 302; 304; 304; 305; 305; 305; 305; 306; 306; 307; 307; 307; 308; 308; 309; 309; 309; 310; 310; 311; 311; 311; 312; 314; 314; 314; 314; 314; 315; 316; 316; 316; 317; 318; 319; 321; 322; 322; 322; 322; 323; 323; 323; 324; 326; 326; 326; 327; 327; 328; 328; 328; 329; 329; 331; 333; 333; 334; 334; 335; 336; 336; 336; 337; 338; 339; 339; 339; 341; 341; 341; 341; 342; 342; 342; 343; 343; 344; 344; 345; 345; 345; 345; 345; 346; 346; 346; 346; 347; 347; 347; 347; 348; 349; 349; 349; 350; 351; 352; 352; 353; 354; 354; 355; 356; 356; 356; 357; 359; 360; 363; 364; 365; 365; 365; 365; 366; 367; 368; 368; 368; 368; 368; 368; 368; 369; 369; 370; 372; 373; 373; 373; 375; 376; 376; 377; 380; 381; 382; 382; 382; 383; 386; 386; 386; 386; 387; 387; 387; 388; 389; 389; 390; 390; 390; 390; 391; 393; 393; 393; 394; 394; 395; 396; 397; 398; 400; 401; 401; 402; 402; 402; 402; 404; 404; 405; 406; 406; 407; 408; 409; 410; 411; 411; 412; 412; 413; 413; 414; 415; 417; 417; 417; 419; 420; 420; 421; 421; 421; 422; 422; 423; 423; 423; 423; 426; 427; 428; 428; 429; 429; 430; 431; 432; 433; 433; 434; 434; 434; 434; 435; 437; 437; 439; 439; 441; 441; 442; 442; 443; 443; 444; 445; 445; 446; 448; 450; 451; 451; 452; 452; 454; 454; 455; 457; 458; 459; 460; 462; 462; 464; 464; 464; 464; 465; 466; 467; 468; 468; 468; 469; 469; 469; 469; 470; 470; 471; 472; 473; 474; 474; 475; 475; 475; 475; 477; 478; 479; 479; 480; 481; 481; 482; 483; 483; 484; 484; 484; 485; 486; 487; 487; 488; 488; 489; 489; 489; 490; 491; 492; 493; 493; 494; 495; 495; 495; 496; 497; 497; 497; 497; 498; 499; 499; 499; 501; 502; 502; 503; 503; 504; 504; 504; 505; 505; 506; 506; 506; 507; 508; 508; 509; 510; 512; 512; 512; 512; 513; 514; 514; 517; 518; 518; 520; 521; 521; 521; 521; 522; 522; 523; 524; 524; 524; 525; 525; 525; 526; 526; 526; 527; 527; 527; 528; 528; 529; 530; 530; 531; 531; 532; 533; 533; 533; 534; 536; 536; 536; 536; 537; 538; 539; 539; 540; 540; 540; 541; 542; 544; 545; 545; 546; 547; 547; 548; 548; 548; 550; 551; 551; 551; 552; 553; 553; 554; 554; 554; 555; 555; 555; 555; 556; 557; 557; 558; 560; 560; 560; 561; 561; 561; 561; 563; 563; 564; 564; 564; 564; 564; 565; 566; 568; 568; 571; 571; 571; 572; 572; 573; 573; 573; 576; 576; 578; 579; 580; 581; 582; 583; 584; 584; 585; 586; 587; 587; 587; 588; 588; 590; 590; 591; 591; 591; 591; 591; 591; 593; 593; 594; 594; 594; 597; 597; 598; 599; 599; 599; 599; 600; 600; 601; 601; 602; 603; 603; 604; 605; 606; 606; 606; 607; 607; 608; 608; 608; 608; 608; 609; 609; 609; 610; 611; 611; 612; 613; 613; 615; 615; 615; 616; 616; 616; 617; 617; 618; 618; 618; 618; 619; 619; 619; 620; 620; 620; 622; 623; 623; 624; 625; 625; 626; 626; 626; 626; 626; 627; 629; 629; 630; 630; 630; 631; 631; 631; 631; 631; 632; 633; 633; 634; 634; 634; 634; 635; 635; 635; 635; 635; 635; 636; 637; 637; 638; 638; 639; 640; 640; 641; 641; 642; 642; 642; 642; 642; 643; 643; 643; 643; 644; 644; 645; 646; 646; 647; 647; 647; 647; 647; 647; 648; 648; 650; 651; 651; 651; 651; 651; 651; 651; 652; 653; 653; 654; 655; 656; 656; 657; 658; 659; 659; 659; 660; 660; 660; 660; 661; 661; 661; 662; 662; 662; 662; 663; 664; 664; 665; 665; 666; 666; 666; 667; 667; 669; 670; 670; 671; 671; 671; 671; 673; 674; 674; 674; 674; 674; 674; 675; 675; 676; 677; 677; 677; 678; 678; 678; 678; 679; 679; 682; 682; 682; 683; 684; 684; 685; 685; 687; 688; 688; 688; 689; 689; 690; 691; 691; 692; 692; 692; 692; 693; 693; 693; 693; 695; 695; 696; 696; 696; 696; 696; 696; 697; 697; 698; 698; 699; 700; 700; 701; 702; 702; 702; 703; 704; 704; 709; 709; 709; 710; 710; 713; 713; 714; 714; 714; 715; 715; 715; 716; 717; 717; 717; 718; 718; 721; 721; 721; 721; 721; 722; 722; 722; 722; 722; 723; 723; 723; 724; 724; 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44638; 44638; 44639; 44639; 44640; 44641; 44641; 44642; 44643; 44644; 44645; 44647; 44647; 44649; 44649; 44649; 44649; 44650; 44651; 44651; 44652; 44652; 44653; 44654; 44655; 44655; 44655; 44656; 44657; 44657; 44659; 44659; 44659; 44660; 44660; 44661; 44662; 44662; 44664; 44665; 44665; 44665; 44666; 44666; 44667; 44669; 44669; 44670; 44671; 44671; 44672; 44672; 44674; 44675; 44675; 44675; 44675; 44678; 44679; 44680; 44680; 44680; 44680; 44681; 44681; 44681; 44681; 44681; 44681; 44683; 44684; 44684; 44684; 44684; 44684; 44685; 44685; 44687; 44687; 44688; 44689; 44689; 44689; 44690; 44690; 44692; 44692; 44694; 44694; 44695; 44696; 44698; 44699; 44700; 44700; 44700; 44700; 44700; 44701; 44701; 44701; 44703; 44703; 44704; 44705; 44705; 44706; 44707; 44708; 44708; 44708; 44709; 44711; 44711; 44712; 44712; 44712; 44713; 44713; 44713; 44714; 44715; 44715; 44716; 44716; 44717; 44717; 44717; 44718; 44719; 44719; 44720; 44720; 44720; 44720; 44720; 44720; 44720; 44721; 44722; 44725; 44726; 44727; 44728; 44728; 44728; 44728; 44730; 44730; 44731; 44732; 44733; 44733; 44733; 44735; 44735; 44736; 44736; 44737; 44739; 44740; 44740; 44742; 44742; 44742; 44743; 44743; 44744; 44745; 44745; 44746; 44747; 44747; 44747; 44747; 44748; 44748; 44749; 44749; 44751; 44751; 44752; 44753; 44753; 44753; 44753; 44754; 44757; 44758; 44759; 44759; 44759; 44760; 44760; 44761; 44761; 44761; 44761; 44762; 44762; 44762; 44762; 44764; 44764; 44764; 44764; 44765; 44765; 44765; 44767; 44768; 44768; 44770; 44770; 44770; 44770; 44771; 44773; 44773; 44773; 44774; 44774; 44775; 44776; 44778; 44778; 44779; 44780; 44780; 44780; 44780; 44782; 44782; 44782; 44783; 44784; 44784; 44785; 44787; 44788; 44789; 44790; 44790; 44791; 44792; 44792; 44793; 44793; 44793; 44793; 44795; 44795; 44796; 44798; 44799; 44799; 44799; 44800; 44801; 44801; 44801; 44802; 44803; 44804; 44804; 44805; 44805; 44805; 44806; 44806; 44807; 44807; 44808; 44808; 44808; 44808; 44809; 44809; 44810; 44810; 44811; 44812; 44813; 44814; 44814; 44814; 44814; 44814; 44815; 44816; 44817; 44817; 44817; 44818; 44819; 44820; 44821; 44821; 44821; 44821; 44821; 44821; 44822; 44822; 44823; 44823; 44823; 44824; 44824; 44824; 44824; 44825; 44825; 44825; 44826; 44826; 44827; 44828; 44828; 44828; 44828; 44828; 44828; 44830; 44831; 44832; 44832; 44832; 44832; 44832; 44832; 44833; 44834; 44836; 44836; 44837; 44838; 44838; 44839; 44839; 44840; 44841; 44843; 44844; 44844; 44844; 44846; 44846; 44846; 44846; 44848; 44849; 44850; 44850; 44850; 44854; 44855; 44855; 44856; 44858; 44859; 44859; 44860; 44861; 44861; 44861; 44861; 44861; 44862; 44862; 44864; 44864; 44865; 44866; 44866; 44866; 44866; 44867; 44867; 44867; 44867; 44868; 44869; 44869; 44869; 44870; 44872; 44873; 44873; 44874; 44874; 44874; 44875; 44875; 44876; 44876; 44876; 44878; 44878; 44879; 44880; 44881; 44881; 44881; 44881; 44881; 44883; 44883; 44884; 44885; 44885; 44885; 44886; 44887; 44887; 44887; 44888; 44888; 44888; 44888; 44889; 44889; 44890; 44891; 44891; 44891; 44891; 44891; 44892; 44892; 44894; 44895; 44895; 44895; 44895; 44896; 44898; 44898; 44899; 44899; 44899; 44900; 44901; 44902; 44903; 44903; 44904; 44904; 44904; 44904; 44905; 44907; 44907; 44908; 44909; 44910; 44910; 44911; 44912; 44915; 44916; 44916; 44916; 44918; 44918; 44918; 44920; 44921; 44921; 44922; 44923; 44924; 44924; 44924; 44924; 44924; 44925; 44926; 44926; 44927; 44928; 44929; 44929; 44931; 44932; 44932; 44932; 44933; 44935; 44935; 44935; 44935; 44936; 44936; 44936; 44936; 44940; 44942; 44942; 44942; 44943; 44946; 44947; 44948; 44949; 44949; 44950; 44950; 44950; 44951; 44951; 44953; 44955; 44957; 44957; 44958; 44958; 44959; 44959; 44959; 44960; 44961; 44961; 44963; 44964; 44964; 44964; 44964; 44965; 44967; 44970; 44971; 44971; 44972; 44972; 44974; 44976; 44976; 44976; 44978; 44978; 44979; 44979; 44979; 44980; 44980; 44980; 44981; 44982; 44983; 44984; 44985; 44986; 44987; 44988; 44989; 44989; 44989; 44991; 44992; 44993; 44993; 44993; 44993; 44996; 44997; 44998; 44999; 44999; 44999; 45001; 45003; 45004; 45004; 45005; 45005; 45005; 45006; 45007; 45007; 45008; 45009; 45010; 45010; 45011; 45011; 45011; 45012; 45014; 45015; 45015; 45016; 45016; 45017; 45017; 45017; 45019; 45019; 45020; 45021; 45021; 45022; 45022; 45023; 45023; 45024; 45024; 45026; 45027; 45028; 45028; 45029; 45029; 45030; 45030; 45030; 45031; 45031; 45031; 45034; 45035; 45036; 45037; 45037; 45038; 45038; 45040; 45041; 45042; 45043; 45043; 45043; 45044; 45045; 45045; 45045; 45045; 45045; 45046; 45046; 45047; 45047; 45047; 45047; 45049; 45050; 45050; 45050; 45050; 45051; 45051; 45052; 45052; 45052; 45055; 45056; 45056; 45057; 45057; 45058; 45058; 45058; 45059; 45059; 45060; 45062; 45062; 45062; 45062; 45062; 45062; 45063; 45063; 45064; 45065; 45066; 45067; 45067; 45069; 45069; 45070; 45071; 45071; 45072; 45072; 45072; 45073; 45074; 45075; 45075; 45076; 45079; 45079; 45079; 45080; 45081; 45081; 45081; 45081; 45081; 45082; 45082; 45082; 45082; 45083; 45083; 45083; 45083; 45085; 45086; 45086; 45087; 45087; 45088; 45088; 45089; 45089; 45089; 45090; 45090; 45092; 45093; 45096; 45097; 45097; 45097; 45099; 45099; 45100; 45100; 45102; 45104; 45105; 45106; 45106; 45106; 45107; 45108; 45109; 45109; 45109; 45110; 45110; 45111; 45111; 45112; 45113; 45113; 45113; 45113; 45113; 45113; 45115; 45115; 45115; 45116; 45117; 45117; 45118; 45119; 45119; 45120; 45120; 45120; 45120; 45120; 45122; 45122; 45122; 45122; 45124; 45126; 45126; 45126; 45128; 45128; 45129; 45129; 45130; 45131; 45131; 45131; 45131; 45132; 45132; 45132; 45133; 45133; 45133; 45134; 45134; 45134; 45135; 45136; 45136; 45136; 45137; 45137; 45139; 45140; 45140; 45141; 45142; 45142; 45142; 45143; 45143; 45144; 45144; 45144; 45145; 45146; 45147; 45147; 45147; 45151; 45151; 45152; 45152; 45153; 45153; 45154; 45154; 45154; 45154; 45156; 45156; 45158; 45158; 45158; 45159; 45159; 45161; 45162; 45163; 45167; 45168; 45168; 45171; 45173; 45173; 45173; 45174; 45174; 45175; 45175; 45176; 45177; 45177; 45178; 45178; 45178; 45180; 45180; 45181; 45182; 45182; 45183; 45184; 45184; 45184; 45185; 45185; 45186; 45186; 45186; 45188; 45188; 45188; 45188; 45188; 45189; 45189; 45189; 45189; 45190; 45190; 45190; 45193; 45194; 45194; 45195; 45195; 45196; 45196; 45196; 45196; 45197; 45197; 45198; 45198; 45198; 45199; 45199; 45199; 45200; 45201; 45201; 45201; 45201; 45202; 45202; 45203; 45203; 45204; 45206; 45206; 45206; 45206; 45207; 45207; 45209; 45210; 45211; 45212; 45212; 45213; 45213; 45213; 45214; 45216; 45216; 45217; 45217; 45217; 45217; 45217; 45219; 45220; 45220; 45221; 45222; 45222; 45222; 45222; 45223; 45223; 45223; 45223; 45224; 45224; 45225; 45225; 45225; 45225; 45226; 45226; 45226; 45226; 45226; 45227; 45227; 45228; 45228; 45229; 45229; 45229; 45230; 45230; 45230; 45231; 45231; 45233; 45233; 45233; 45233; 45235; 45237; 45238; 45238; 45238; 45239; 45240; 45240; 45241; 45241; 45241; 45241; 45242; 45243; 45243; 45243; 45244; 45244; 45247; 45247; 45248; 45248; 45248; 45249; 45250; 45250; 45251; 45251; 45251; 45252; 45252; 45252; 45253; 45253; 45253; 45253; 45253; 45253; 45254; 45254; 45255; 45256; 45256; 45257; 45257; 45257; 45257; 45257; 45257; 45258; 45258; 45258; 45258; 45259; 45259; 45259; 45260; 45261; 45261; 45262; 45262; 45262; 45264; 45265; 45266; 45267; 45267; 45268; 45268; 45269; 45270; 45271; 45272; 45275; 45275; 45276; 45276; 45276; 45278; 45278; 45278; 45280; 45281; 45283; 45283; 45284; 45284; 45284; 45286; 45286; 45286; 45286; 45287; 45287; 45288; 45288; 45289; 45289; 45290; 45290; 45290; 45290; 45291; 45291; 45291; 45291; 45291; 45294; 45295; 45295; 45295; 45295; 45295; 45296; 45297; 45297; 45297; 45298; 45300; 45300; 45300; 45301; 45302; 45302; 45302; 45302; 45304; 45304; 45304; 45305; 45306; 45306; 45307; 45307; 45308; 45308; 45310; 45310; 45310; 45310; 45311; 45312; 45312; 45314; 45314; 45314; 45315; 45315; 45316; 45316; 45317; 45317; 45317; 45317; 45317; 45319; 45320; 45321; 45321; 45322; 45322; 45323; 45323; 45323; 45323; 45324; 45325; 45326; 45326; 45326; 45327; 45327; 45328; 45328; 45328; 45328; 45329; 45329; 45330; 45330; 45332; 45332; 45332; 45332; 45334; 45335; 45336; 45336; 45338; 45338; 45339; 45339; 45340; 45342; 45344; 45345; 45345; 45346; 45346; 45347; 45347; 45348; 45348; 45350; 45350; 45350; 45350; 45350; 45351; 45352; 45353; 45354; 45354; 45355; 45355; 45355; 45356; 45356; 45357; 45357; 45357; 45358; 45358; 45358; 45361; 45361; 45361; 45362; 45362; 45363; 45363; 45364; 45364; 45365; 45366; 45367; 45367; 45367; 45367; 45368; 45369; 45369; 45370; 45370; 45370; 45371; 45371; 45371; 45372; 45372; 45373; 45373; 45373; 45374; 45374; 45374; 45375; 45375; 45376; 45377; 45377; 45377; 45378; 45378; 45379; 45379; 45379; 45379; 45380; 45382; 45382; 45382; 45383; 45384; 45384; 45384; 45385; 45385; 45385; 45386; 45386; 45387; 45387; 45387; 45387; 45388; 45388; 45389; 45389; 45390; 45391; 45392; 45392; 45392; 45393; 45393; 45393; 45394; 45396; 45396; 45396; 45396; 45398; 45399; 45400; 45400; 45400; 45401; 45401; 45401; 45401; 45402; 45403; 45403; 45404; 45406; 45406; 45407; 45408; 45408; 45410; 45412; 45413; 45413; 45413; 45414; 45415; 45416; 45416; 45419; 45420; 45421; 45421; 45421; 45421; 45422; 45422; 45422; 45422; 45423; 45423; 45424; 45424; 45425; 45426; 45426; 45426; 45428; 45428; 45429; 45429; 45429; 45429; 45430; 45431; 45432; 45432; 45432; 45432; 45433; 45433; 45433; 45434; 45434; 45434; 45435; 45436; 45436; 45437; 45438; 45438; 45438; 45439; 45439; 45439; 45440; 45440; 45440; 45441; 45441; 45442; 45444; 45445; 45445; 45445; 45446; 45447; 45447; 45448; 45448; 45448; 45449; 45449; 45449; 45449; 45451; 45452; 45452; 45453; 45454; 45455; 45455; 45456; 45456; 45456; 45457; 45457; 45457; 45458; 45458; 45458; 45459; 45459; 45459; 45459; 45459; 45459; 45461; 45461; 45462; 45462; 45465; 45466; 45467; 45467; 45468; 45468; 45468; 45468; 45470; 45470; 45471; 45472; 45473; 45474; 45475; 45476; 45476; 45478; 45478; 45478; 45479; 45479; 45479; 45480; 45480; 45480; 45482; 45482; 45482; 45482; 45482; 45483; 45483; 45483] 45483) + +let test9 _ = assert_equal 0 (minimumAddedCoins [1; 1; 2; 3; 3; 4; 4; 4; 4; 6; 9; 9; 12; 13; 20; 22; 22; 24; 25; 25; 31; 32; 36; 36; 40; 48; 48; 50; 51; 54; 54; 60; 60; 62; 63; 64; 64; 66; 70; 72; 72; 73; 74; 76; 77; 82; 84; 84; 85; 86; 86; 89; 90; 92; 92; 97; 98; 99; 100; 103; 103; 104; 105; 110; 110; 111; 111; 112; 120; 123; 124; 128; 129; 131; 133; 133; 135; 135; 138; 142; 143; 146; 146; 147; 152; 155; 156; 156; 159; 159; 162; 164; 164; 173; 173; 174; 177; 182; 183; 183; 185; 188; 190; 191; 193; 193; 194; 198; 200; 201; 203; 206; 209; 213; 221; 221; 221; 225; 226; 228; 230; 232; 233; 233; 233; 235; 236; 236; 238; 240; 240; 240; 240; 241; 241; 241; 242; 245; 245; 245; 248; 250; 253; 254; 260; 260; 260; 260; 260; 262; 263; 267; 270; 272; 274; 274; 276; 277; 280; 280; 281; 282; 285; 285; 286; 287; 289; 290; 291; 291; 291; 298; 302; 302; 303; 305; 309; 311; 312; 314; 317; 318; 319; 321; 324; 325; 326; 327; 329; 331; 333; 335; 335; 336; 337; 343; 346; 346; 346; 351; 354; 355; 357; 357; 361; 362; 362; 364; 365; 367; 368; 371; 373; 377; 377; 378; 379; 380; 380; 380; 381; 381; 390; 392; 393; 399; 400; 402; 405; 405; 406; 408; 408; 409; 409; 411; 414; 419; 420; 420; 420; 426; 426; 426; 429; 432; 434; 436; 437; 439; 439; 441; 442; 442; 443; 444; 445; 449; 450; 454; 457; 458; 458; 459; 459; 459; 460; 462; 465; 466; 466; 471; 473; 473; 473; 474; 475; 475; 476; 476; 478; 478; 487; 488; 489; 490; 493; 495; 496; 496; 496; 497; 498; 499; 504; 506; 511; 511; 511; 514; 515; 515; 521; 521; 521; 529; 529; 531; 534; 535; 537; 539; 540; 540; 540; 542; 543; 544; 545; 546; 549; 550; 554; 555; 557; 557; 558; 559; 559; 562; 565; 569; 571; 572; 575; 578; 583; 584; 585; 591; 592; 592; 595; 598; 600; 600; 601; 603; 603; 605; 605; 605; 607; 607; 608; 608; 610; 613; 613; 613; 614; 617; 618; 620; 620; 623; 629; 630; 633; 635; 636; 637; 638; 638; 639; 641; 641; 641; 643; 643; 644; 644; 646; 649; 651; 654; 655; 657; 666; 666; 669; 670; 673; 677; 677; 677; 679; 680; 681; 687; 688; 688; 689; 690; 693; 694; 695; 699; 702; 703; 707; 709; 709; 711; 714; 716; 717; 718; 719; 720; 720; 721; 724; 725; 729; 729; 731; 732; 732; 733; 735; 737; 738; 740; 743; 745; 745; 753; 753; 754; 755; 758; 759; 760; 762; 762; 763; 766; 771; 776; 782; 785; 785; 786; 786; 786; 786; 787; 788; 790; 790; 794; 796; 798; 799; 801; 801; 803; 804; 806; 807; 808; 809; 810; 811; 811; 813; 816; 816; 822; 827; 828; 828; 829; 831; 837; 838; 839; 840; 844; 846; 846; 846; 847; 856; 857; 858; 858; 861; 863; 863; 863; 863; 866; 867; 869; 871; 873; 875; 877; 878; 878; 879; 885; 887; 888; 890; 890; 890; 890; 894; 896; 897; 899; 900; 901; 903; 912; 914; 915; 917; 917; 918; 918; 919; 920; 923; 924; 925; 925; 928; 929; 930; 930; 932; 936; 936; 941; 941; 941; 942; 943; 945; 946; 947; 948; 948; 949; 949; 950; 951; 955; 956; 958; 959; 960; 961; 962; 962; 963; 964; 965; 969; 969; 970; 975; 976; 978; 979; 981; 983; 983; 984; 985; 987; 987; 988; 990; 993; 993; 994; 994; 1004; 1006; 1008; 1009; 1010; 1011; 1011; 1011; 1014; 1018; 1018; 1025; 1027; 1028; 1028; 1029; 1031; 1034; 1041; 1041; 1045; 1045; 1045; 1046; 1049; 1049; 1051; 1052; 1052; 1053; 1054; 1054; 1056; 1058; 1059; 1060; 1060; 1061; 1067; 1069; 1069; 1070; 1071; 1072; 1075; 1079; 1082; 1084; 1086; 1090; 1093; 1093; 1094; 1094; 1095; 1097; 1097; 1099; 1101; 1103; 1106; 1113; 1113; 1115; 1116; 1118; 1123; 1128; 1133; 1133; 1136; 1137; 1137; 1140; 1140; 1141; 1142; 1143; 1145; 1146; 1148; 1149; 1151; 1151; 1151; 1155; 1156; 1157; 1162; 1162; 1163; 1164; 1166; 1168; 1168; 1169; 1176; 1178; 1182; 1188; 1190; 1191; 1192; 1193; 1193; 1193; 1194; 1195; 1195; 1195; 1195; 1197; 1199; 1199; 1200; 1200; 1201; 1208; 1212; 1213; 1216; 1217; 1218; 1219; 1220; 1222; 1224; 1224; 1227; 1227; 1229; 1230; 1235; 1241; 1241; 1244; 1244; 1247; 1248; 1249; 1250; 1251; 1252; 1253; 1255; 1256; 1257; 1259; 1268; 1269; 1273; 1276; 1277; 1277; 1279; 1280; 1282; 1285; 1287; 1288; 1289; 1290; 1296; 1296; 1298; 1298; 1308; 1311; 1312; 1321; 1326; 1327; 1334; 1336; 1336; 1338; 1339; 1339; 1339; 1341; 1347; 1349; 1351; 1352; 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86876; 86877; 86878; 86879; 86880; 86880; 86881; 86881; 86882; 86884; 86884; 86884; 86885; 86886; 86886; 86887; 86888; 86893; 86893; 86894; 86895; 86895; 86896; 86897; 86898; 86899; 86900; 86900; 86901; 86902; 86902; 86903; 86904; 86904; 86905; 86906; 86907; 86908; 86908; 86909; 86909; 86910; 86911; 86912; 86914; 86915; 86915; 86915; 86916; 86917; 86920; 86920; 86921; 86921; 86922; 86923; 86923; 86923; 86927; 86930; 86931; 86932; 86932; 86932; 86933; 86933; 86936; 86936; 86937; 86939; 86939; 86939; 86939; 86944; 86944; 86945; 86946; 86947; 86947; 86947; 86948; 86948; 86950; 86950; 86951; 86951; 86951; 86953; 86954; 86956; 86957; 86957; 86958; 86958; 86960; 86961; 86966; 86969; 86973; 86973; 86973; 86974; 86975; 86978; 86980; 86980; 86981; 86986; 86986; 86987; 86988; 86990; 86990; 86991; 86992; 86993; 86993; 86994; 86997; 87002; 87008; 87009; 87009; 87009; 87010; 87016; 87017; 87018; 87020; 87020; 87021; 87023; 87023; 87024; 87025; 87025; 87026; 87027; 87027; 87028; 87029; 87033; 87036; 87036; 87037; 87037; 87038; 87038; 87040; 87041; 87043; 87043; 87044; 87044; 87045; 87050; 87051; 87053; 87054; 87054; 87054; 87055; 87055; 87056; 87057; 87057; 87059; 87060; 87061; 87061; 87061; 87063; 87063; 87064; 87066; 87066; 87070; 87070; 87071; 87074; 87075; 87076; 87077; 87078; 87078; 87078; 87080; 87081; 87082; 87082; 87084; 87085; 87089; 87090; 87091; 87091; 87094; 87094; 87096; 87096; 87098; 87099; 87099; 87099; 87100; 87100; 87101; 87101; 87106; 87107; 87108; 87108; 87111; 87112; 87114; 87116; 87116; 87116; 87118; 87119; 87122; 87126; 87126; 87126; 87130; 87131; 87131; 87131; 87132; 87133; 87134; 87136; 87137; 87137; 87138; 87139; 87139; 87139; 87140; 87143; 87143; 87146; 87149; 87151; 87152; 87153; 87154; 87156; 87158; 87159; 87163; 87163; 87163; 87165; 87166; 87166; 87167; 87168; 87168; 87169; 87169; 87170; 87172; 87172; 87172; 87172; 87173; 87175; 87175; 87177; 87178; 87180; 87180; 87181; 87181; 87186; 87187; 87187; 87187; 87188; 87189; 87189; 87191; 87192; 87192; 87193; 87195; 87197; 87198; 87199; 87200; 87202; 87202; 87204; 87204; 87205; 87205; 87206; 87206; 87206; 87209; 87210; 87212; 87214; 87214; 87216; 87217; 87219; 87221; 87222; 87224; 87224; 87224; 87225; 87225; 87225; 87226; 87226; 87227; 87227; 87228; 87228; 87228; 87228; 87230; 87231; 87232; 87233; 87233; 87237; 87238; 87240; 87242; 87242; 87242; 87242; 87243; 87244; 87247; 87248; 87248; 87249; 87249; 87250; 87250; 87257; 87260; 87265; 87266; 87267; 87267; 87268; 87270; 87271; 87272; 87273; 87273; 87274; 87276; 87276; 87277; 87277; 87278; 87280; 87281; 87281; 87282; 87283; 87286; 87286; 87286; 87286; 87286; 87287; 87288; 87289; 87289; 87290; 87290; 87292; 87292; 87293; 87293; 87294; 87294; 87296; 87297; 87298; 87298; 87299; 87300; 87301; 87302; 87302; 87305; 87305; 87305; 87306; 87307; 87308; 87310; 87311; 87311; 87312; 87312; 87312; 87313; 87314; 87317; 87317; 87320; 87320; 87321; 87323; 87324; 87325; 87325; 87328; 87328; 87329; 87330; 87332; 87332; 87334; 87335; 87339; 87342; 87344; 87345; 87346; 87350; 87350; 87353; 87355; 87356; 87356; 87357; 87358; 87359; 87362; 87363; 87364; 87365; 87366; 87366; 87367; 87368; 87369; 87370; 87370; 87371; 87373; 87377; 87379; 87381; 87382; 87384; 87384; 87385; 87386; 87387; 87387; 87387; 87387; 87387; 87387; 87388; 87390; 87390; 87392; 87393; 87393; 87394; 87394; 87395; 87395; 87398; 87399; 87405; 87405; 87405; 87406; 87408; 87408; 87409; 87410; 87410; 87411; 87416; 87417; 87421; 87422; 87424; 87424; 87426; 87431; 87431; 87431; 87431; 87435; 87435; 87437; 87439; 87439; 87439; 87440; 87440; 87441; 87441; 87445; 87445; 87446; 87450; 87450; 87451; 87451; 87452; 87454; 87456; 87456; 87457; 87458; 87458; 87459; 87460; 87461; 87461; 87462; 87462; 87463; 87463; 87464; 87465; 87465; 87466; 87469; 87473; 87475; 87475; 87475; 87477; 87478; 87479; 87479; 87480; 87481; 87482; 87482; 87484; 87485; 87488; 87490; 87492; 87492; 87493; 87493; 87494; 87496; 87498; 87498; 87498; 87500; 87501; 87503; 87504; 87505; 87507; 87509; 87510; 87511; 87512; 87513; 87514; 87515; 87515; 87515; 87517; 87520; 87522; 87522; 87523; 87527] 87527) + + + (* Grouping test cases *) + let suite = "Test Suite for minimumAddedCoins" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + "test9" >:: test9; + "test10" >:: test10; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_coins_to_be_added/scala_tests/MySuite.scala b/minimum_number_of_coins_to_be_added/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..9a37ff54363c7ec48ef8ae9087402d4c5f2016ac --- /dev/null +++ b/minimum_number_of_coins_to_be_added/scala_tests/MySuite.scala @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimumAddedCoins(List(1,4,10),19), 2) + } + + test("test2") { + assertEquals(Main.minimumAddedCoins(List(1,4,10,5,7,19),19), 1) + } + + test("test3") { + assertEquals(Main.minimumAddedCoins(List(1,1,1),20), 3) + } + + test("test4") { + assertEquals(Main.minimumAddedCoins(List(2, 3, 4, 7, 7, 8, 8, 11, 12, 12, 15, 15, 16, 17, 19, 19, 20, 20, 21, 25, 25, 26, 27, 29, 30, 30, 31, 32, 32, 33, 33, 33, 34, 35, 35, 35, 35, 36, 36, 36, 37, 38, 38, 38, 40, 41, 41, 42, 44, 44, 44, 45, 45, 46, 46, 48, 49, 50, 50, 51, 51, 52, 53, 54, 54, 55, 55, 55, 56, 56, 59, 62, 63, 64, 65, 66, 66, 68, 68, 68, 69, 69, 70, 70, 71, 72, 72, 74, 75, 75, 76, 77, 77, 77, 77, 77, 78, 79, 79, 81, 82, 85, 85, 86, 87, 87, 88, 88, 89, 90, 90, 90, 95, 95, 98, 98, 98, 102, 104, 105, 106, 107, 108, 109, 110, 110, 111, 113, 114, 114, 115, 117, 117, 118, 120, 120, 121, 121, 123, 124, 125, 125, 125, 127, 127, 128, 128, 128, 131, 131, 133, 134, 134, 135, 137, 137, 138, 138, 138, 139, 139, 140, 140, 141, 144, 144, 144, 145, 146, 146, 146, 148, 148, 151, 152, 153, 154, 154, 155, 155, 156, 157, 160, 160, 160, 162, 163, 163, 164, 165, 165, 166, 167, 168, 169, 169, 170, 170, 171, 172, 172, 172, 174, 176, 178, 178, 179, 180, 181, 183, 184, 187, 187, 188, 189, 190, 193, 195, 195, 196, 196, 197, 198, 200, 200, 202, 203, 203, 206, 206, 206, 206, 206, 207, 207, 207, 209, 210, 210, 211, 211, 211, 213, 214, 214, 214, 217, 218, 218, 218, 219, 219, 221, 223, 223, 226, 226, 227, 230, 230, 232, 233, 234, 237, 241, 241, 241, 242, 243, 244, 245, 246, 246, 246, 246, 249, 250, 250, 251, 251, 255, 256, 257, 257, 258, 258, 258, 259, 259, 260, 261, 262, 263, 264, 264, 265, 265, 267, 268, 268, 269, 269, 270, 271, 271, 272, 272, 272, 274, 275, 275, 276, 280, 281, 281, 284, 284, 285, 285, 286, 288, 288, 289, 289, 289, 291, 292, 293, 294, 294, 296, 296, 296, 297, 298, 298, 299, 299, 302, 302, 303, 303, 305, 306, 307, 308, 309, 311, 312, 312, 313, 315, 316, 316, 317, 317, 318, 318, 323, 325, 325, 326, 329, 329, 330, 330, 332, 332, 332, 333, 333, 333, 333, 334, 334, 335, 335, 336, 337, 338, 338, 338, 338, 341, 342, 342, 342, 344, 344, 346, 346, 347, 347, 347, 347, 348, 348, 348, 349, 350, 351, 352, 353, 353, 354, 354, 354, 355, 355, 355, 356, 356, 356, 358, 359, 359, 362, 362, 363, 369, 370, 371, 371, 373, 373, 377, 377, 377, 378, 378, 379, 379, 381, 381, 381, 381, 382, 383, 384, 388, 389, 389, 390, 391, 391, 394, 395, 395, 396, 397, 398, 399, 400, 400, 401, 403, 403, 403, 404, 404, 405, 405, 405, 407, 407, 408, 410, 411, 411, 411, 411, 411, 411, 412, 412, 413, 413, 415, 417, 417, 418, 418, 420, 421, 422, 422, 423, 423, 423, 423, 425, 425, 426, 428, 430, 430, 432, 433, 433, 434, 437, 439, 440, 441, 441, 441, 442, 442, 444, 444, 448, 454, 458, 458, 458, 458, 458, 459, 462, 462, 463, 464, 465, 465, 465, 466, 468, 469, 471, 471, 472, 472, 473, 473, 475, 476, 476, 477, 478, 479, 480, 482, 482, 482, 485, 486, 488, 488, 488, 488, 489, 491, 491, 492, 492, 492, 493, 494, 495, 495, 496, 496, 499, 501, 501, 502, 503, 506, 506, 506, 506, 507, 507, 511, 512, 512, 513, 513, 514, 514, 515, 515, 516, 518, 518, 518, 520, 521, 522, 522, 525, 525, 525, 527, 528, 528, 529, 532, 532, 532, 535, 536, 537, 538, 538, 539, 542, 543, 547, 547, 548, 548, 550, 552, 552, 552, 553, 553, 553, 553, 554, 556, 556, 556, 558, 558, 558, 560, 562, 563, 564, 565, 567, 568, 569, 569, 571, 572, 573, 575, 576, 576, 576, 577, 579, 580, 583, 584, 584, 585, 585, 590, 590, 590, 591, 593, 595, 596, 596, 597, 597, 597, 599, 604, 606, 607, 608, 609, 610, 612, 613, 613, 614, 615, 617, 619, 620, 621, 622, 624, 624, 625, 626, 627, 627, 629, 631, 632, 632, 633, 633, 633, 633, 633, 635, 637, 637, 638, 639, 640, 641, 642, 644, 645, 646, 646, 647, 647, 647, 649, 650, 654, 654, 654, 654, 655, 655, 656, 656, 657, 657, 657, 658, 660, 661, 665, 665, 669, 670, 670, 671, 672, 673, 673, 675, 676, 676, 679, 680, 680, 680, 681, 682, 684, 689, 690, 690, 691, 691, 692, 695, 696, 697, 697, 699, 699, 699, 700, 700, 701, 702, 702, 703, 704, 706, 707, 709, 709, 709, 710, 711, 711, 718, 719, 720, 723, 725, 726, 726, 728, 728, 729, 729, 730, 730, 731, 731, 732, 732, 737, 738, 738, 739, 739, 740, 741, 741, 741, 742, 742, 743, 743, 743, 743, 744, 745, 745, 747, 747, 748, 749, 749, 750, 750, 752, 755, 755, 757, 758, 758, 759, 760, 761, 762, 762, 763, 764, 764, 764, 766, 766, 767, 768, 768, 768, 769, 770, 771, 771, 771, 772, 773, 774, 774, 774, 777, 778, 778, 779, 779, 779, 783, 783, 784, 784, 784, 785, 787, 788, 791, 791, 792, 792, 792, 793, 793, 796, 796, 797, 797, 798, 798, 799, 801, 801, 802, 804, 806, 808, 810, 811, 814, 814, 814, 815, 815, 815, 816, 817, 818, 818, 818, 818, 819, 821, 822, 826, 827, 828, 830, 832, 833, 835, 836, 838, 838, 839, 841, 842, 843, 845, 846, 846, 848, 849, 849, 850, 853, 853, 854, 857, 857, 859, 860, 860, 862, 863, 863, 864, 864, 864, 865, 866, 866, 867, 867, 867, 868, 868, 871, 872, 872, 874, 874, 876, 876, 876, 877, 878, 879, 880, 881, 883, 883, 885, 887, 888, 889, 889, 889, 890, 892, 894, 895, 897, 897, 898, 899, 899, 901, 901, 903, 903, 905, 906, 907, 908, 909, 911, 911, 912, 916, 916, 917, 918, 918, 918, 919, 920, 920, 920, 922, 922, 923, 923, 926, 927, 929, 930, 930, 931, 932, 934, 935, 935, 936, 937, 940, 940, 940, 941, 942, 944, 945, 945, 945, 946, 947, 947, 949, 950, 951, 952, 955, 956, 956, 958, 960, 960, 960, 961, 963, 963, 964, 964, 965, 966, 967, 970, 970, 972, 973, 974, 975, 976, 976, 977, 978, 978, 981, 983, 987, 987, 988, 989, 992, 993, 993, 994, 995, 996, 997, 998, 998, 999, 999, 999, 1000, 1000, 1002, 1003, 1004, 1005, 1005, 1006, 1007, 1008, 1008, 1008, 1009, 1009, 1009, 1009, 1011, 1012, 1014, 1015, 1016, 1017, 1019, 1019, 1020, 1020, 1022, 1024, 1025, 1026, 1026, 1029, 1029, 1029, 1030, 1031, 1032, 1032, 1034, 1036, 1036, 1036, 1037, 1037, 1037, 1037, 1039, 1040, 1040, 1041, 1042, 1043, 1043, 1045, 1045, 1046, 1046, 1046, 1048, 1049, 1050, 1052, 1053, 1053, 1053, 1054, 1055, 1056, 1056, 1057, 1057, 1058, 1058, 1059, 1060, 1061, 1061, 1062, 1067, 1067, 1068, 1070, 1070, 1070, 1071, 1072, 1076, 1078, 1079, 1082, 1084, 1084, 1085, 1085, 1087, 1087, 1088, 1089, 1089, 1090, 1090, 1090, 1090, 1091, 1092, 1092, 1093, 1094, 1095, 1097, 1099, 1099, 1100, 1100, 1101, 1103, 1103, 1104, 1105, 1106, 1108, 1112, 1112, 1112, 1114, 1114, 1117, 1118, 1121, 1121, 1122, 1123, 1123, 1123, 1124, 1124, 1125, 1126, 1126, 1127, 1128, 1128, 1129, 1129, 1129, 1130, 1131, 1133, 1133, 1134, 1135, 1136, 1136, 1136, 1136, 1138, 1138, 1140, 1140, 1141, 1143, 1147, 1148, 1150, 1150, 1150, 1152, 1154, 1155, 1155, 1155, 1155, 1155, 1155, 1156, 1157, 1158, 1158, 1160, 1160, 1162, 1162, 1164, 1164, 1165, 1165, 1165, 1166, 1166, 1166, 1167, 1167, 1168, 1168, 1169, 1169, 1172, 1172, 1173, 1173, 1173, 1175, 1175, 1176, 1176, 1177, 1177, 1177, 1179, 1179, 1181, 1182, 1183, 1185, 1186, 1186, 1187, 1187, 1190, 1190, 1192, 1192, 1193, 1193, 1195, 1195, 1195, 1196, 1197, 1199, 1201, 1203, 1205, 1206, 1207, 1207, 1207, 1207, 1208, 1209, 1209, 1212, 1212, 1212, 1213, 1213, 1214, 1215, 1216, 1216, 1216, 1217, 1218, 1218, 1219, 1220, 1221, 1222, 1222, 1223, 1223, 1223, 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18941, 18941, 18941, 18942, 18947, 18949, 18950, 18950, 18951, 18952, 18954, 18954, 18954, 18955, 18956, 18956, 18957, 18959, 18959, 18960, 18960, 18960, 18960, 18961, 18964, 18965, 18965, 18966, 18967, 18968, 18968, 18968, 18968, 18970, 18970, 18978, 18978, 18978, 18980, 18980, 18982, 18983, 18985, 18985, 18986, 18986, 18986, 18987, 18988, 18988, 18988, 18988, 18991, 18992, 18992, 18992, 18993, 18994, 18995, 18996, 18996, 18996, 18998, 19000, 19001, 19001, 19001, 19003, 19004, 19005, 19006, 19010, 19013, 19019, 19019, 19021, 19023, 19023, 19024, 19026, 19026, 19028, 19028, 19029, 19029, 19030, 19030, 19031, 19032, 19032, 19032, 19033, 19033, 19035, 19035, 19036, 19036, 19037, 19037, 19040, 19040, 19041, 19041, 19041, 19042, 19043, 19045, 19046, 19047, 19047, 19048, 19049, 19050, 19050, 19051, 19051, 19058, 19058, 19059, 19059, 19060, 19060, 19060, 19062, 19063, 19063, 19063, 19064, 19065, 19066, 19067, 19067, 19068, 19070, 19070, 19071, 19071, 19072, 19073, 19074, 19074, 19075, 19075, 19075, 19075, 19077, 19079, 19079, 19080, 19080, 19081, 19085, 19087, 19087, 19088, 19089, 19090, 19092, 19092, 19093, 19093, 19093, 19094, 19095, 19096, 19097, 19098, 19098, 19099, 19100, 19101, 19102, 19102, 19103, 19105, 19106, 19106, 19110, 19111, 19111, 19111, 19116, 19117, 19117, 19118, 19119, 19120, 19120, 19121, 19121, 19123, 19125, 19126, 19127, 19130, 19131, 19134, 19134, 19134, 19135, 19135, 19136, 19136, 19136, 19137, 19137, 19139, 19139, 19140, 19140, 19141, 19141, 19143, 19145, 19145, 19145, 19147, 19148, 19148, 19148, 19149, 19149, 19152, 19152, 19152, 19153, 19153, 19154, 19155, 19155, 19155, 19157, 19157, 19157, 19158, 19160, 19161, 19161, 19162, 19162, 19165, 19165, 19166, 19166, 19166, 19166, 19167, 19167, 19168, 19169, 19170, 19171, 19171, 19171, 19172, 19174, 19175, 19176, 19176, 19177, 19177, 19179, 19179, 19180, 19181, 19181, 19184, 19185, 19186, 19186, 19187, 19188, 19188, 19188, 19188, 19192, 19193, 19197, 19197, 19198, 19199, 19199, 19201, 19203, 19204, 19204, 19206, 19206, 19207, 19207, 19208, 19209, 19211, 19211, 19211, 19213, 19213, 19213, 19213, 19214, 19217, 19218, 19220, 19221, 19221, 19221, 19222, 19226, 19228, 19229, 19230, 19231, 19232, 19233, 19234, 19238, 19238, 19238, 19239, 19240, 19240, 19244, 19245, 19245, 19246, 19246, 19247, 19247, 19247, 19247, 19248, 19248, 19248, 19250, 19250, 19255, 19256, 19256, 19256, 19257, 19258, 19258, 19258, 19260, 19262, 19262, 19262, 19264, 19265, 19267, 19269, 19270, 19271, 19272, 19274, 19274, 19276, 19278, 19281, 19281, 19282, 19282, 19283, 19283, 19284, 19286, 19288, 19291, 19291, 19291, 19292, 19295, 19296, 19297, 19298, 19298, 19298, 19299, 19301, 19303, 19304, 19306, 19306, 19306, 19306, 19306, 19308, 19309, 19309, 19309, 19310, 19310, 19311, 19312, 19313, 19314, 19315, 19316, 19316, 19316, 19316, 19317, 19317, 19318, 19318, 19319, 19319, 19319, 19320, 19321, 19321, 19323, 19325, 19327, 19327, 19329, 19329, 19330, 19330, 19331, 19331, 19332, 19333, 19334, 19334, 19335, 19336, 19336, 19337, 19338, 19338, 19339, 19340, 19340, 19341, 19341, 19342, 19342, 19343, 19345, 19348, 19348, 19348, 19349, 19351, 19351, 19352, 19352, 19353, 19355, 19355, 19355, 19356, 19357, 19359, 19359, 19362, 19363, 19364, 19364, 19365, 19368, 19371, 19372, 19375, 19375, 19375, 19375, 19375, 19376, 19377, 19378, 19380, 19382, 19383, 19384, 19384, 19385, 19385, 19385, 19386, 19386, 19387, 19387, 19391, 19391, 19393, 19393, 19394, 19394, 19395, 19395, 19398, 19399, 19399, 19400, 19401, 19402, 19402, 19404, 19405, 19406, 19406, 19407, 19409, 19410, 19410, 19410, 19410, 19411, 19412, 19412, 19412, 19414, 19414, 19417, 19418, 19419, 19419, 19420, 19421, 19422, 19423, 19424, 19425, 19427, 19429, 19429, 19430, 19431, 19433, 19433, 19433, 19433, 19434, 19436, 19438, 19439, 19441, 19442, 19442, 19443, 19444, 19444, 19444, 19444, 19445, 19445, 19445, 19446, 19446, 19447, 19447, 19448, 19449, 19449, 19450, 19450, 19454, 19454, 19455, 19455, 19455, 19456, 19456, 19457, 19457, 19457, 19460, 19461, 19462, 19464, 19465, 19466, 19467, 19467, 19468, 19468, 19469, 19470, 19470, 19472, 19473, 19474, 19474, 19475, 19476, 19476, 19476, 19476, 19477, 19477, 19478, 19480, 19482, 19486, 19486, 19487, 19490, 19491, 19492, 19493, 19493, 19494, 19496, 19497, 19497, 19497, 19497, 19497, 19499, 19499, 19501, 19501, 19501, 19502, 19503, 19503, 19503, 19505, 19505, 19506, 19506, 19508, 19510, 19512, 19512, 19512, 19513, 19515, 19516, 19516, 19517, 19517, 19518, 19518, 19521, 19522, 19522, 19524, 19524, 19524, 19525, 19526, 19526, 19527, 19528, 19528, 19530, 19530, 19532, 19533, 19534, 19534, 19536, 19539, 19540, 19541, 19541, 19542, 19543, 19544, 19544, 19544, 19545, 19546, 19547, 19548, 19549, 19550, 19551, 19551, 19552, 19552, 19553, 19555, 19556, 19556, 19556, 19557, 19558, 19559, 19563, 19563, 19565, 19566, 19569, 19569, 19569, 19571, 19573, 19574, 19575, 19575, 19575, 19578, 19580, 19580, 19581, 19582, 19583, 19585, 19585, 19585, 19587, 19589, 19591, 19591, 19591, 19592, 19592, 19593, 19593, 19593, 19593, 19595, 19595, 19595, 19596, 19598, 19599, 19599, 19599, 19600, 19601, 19601, 19601, 19601, 19602, 19603, 19603, 19603, 19603, 19604, 19604, 19604, 19605, 19605, 19606, 19607, 19607, 19607, 19609, 19609, 19610, 19611, 19611, 19612, 19614, 19615, 19617, 19618, 19618, 19619, 19621, 19621, 19623, 19625, 19625, 19627, 19628, 19629, 19629, 19629, 19630, 19630, 19631, 19631, 19631, 19632, 19633, 19634, 19634, 19635, 19635, 19636, 19638, 19639, 19641, 19641, 19641, 19643, 19643, 19643, 19644, 19646, 19648, 19649, 19650, 19650, 19650, 19653, 19653, 19655, 19655, 19656, 19657, 19657, 19657, 19657, 19660, 19660, 19662, 19663, 19664, 19665, 19667, 19670, 19670, 19671, 19672, 19673, 19673, 19673, 19673, 19674, 19674, 19674, 19675, 19675, 19677, 19680, 19683, 19683, 19684, 19685, 19686, 19687, 19688, 19688, 19689, 19690, 19691, 19691, 19691, 19692, 19692, 19692, 19693, 19693, 19694, 19694, 19695, 19696, 19696, 19697, 19700, 19700, 19700, 19701, 19702, 19703, 19704, 19706, 19708, 19708, 19709, 19709, 19709, 19710, 19710, 19711, 19711, 19712, 19712, 19713, 19715, 19715, 19716, 19716, 19717, 19719, 19720, 19723, 19724, 19724, 19726, 19727, 19727, 19728, 19729, 19729, 19729, 19730, 19730, 19731, 19735, 19737, 19737, 19740, 19743, 19743, 19746, 19747, 19749, 19750, 19754, 19754, 19754, 19754, 19755, 19756, 19757, 19759, 19759, 19760, 19760, 19761, 19761, 19761, 19762, 19762, 19762, 19764, 19764, 19764, 19765, 19767, 19768, 19768, 19769, 19769, 19771, 19771, 19772, 19772, 19773, 19774, 19774, 19774, 19776, 19777, 19778, 19779, 19779, 19779, 19779, 19781, 19782, 19782, 19783, 19783, 19783, 19784, 19785, 19786, 19786, 19786, 19787, 19789, 19791, 19791, 19792, 19792, 19792, 19794, 19795, 19795, 19797, 19797, 19797, 19797, 19798, 19798, 19799, 19801, 19802, 19803, 19804, 19806, 19807, 19808, 19809, 19810, 19810, 19811, 19812, 19812, 19814, 19814, 19815, 19816, 19816, 19817, 19817, 19819, 19819, 19819, 19819, 19820, 19821, 19822, 19823, 19825, 19826, 19826, 19826, 19826, 19827, 19829, 19830, 19831, 19831, 19832, 19834, 19835, 19837, 19837, 19838, 19839, 19841, 19841, 19842, 19842, 19842, 19842, 19843, 19843, 19845, 19847, 19851, 19851, 19853, 19854, 19854, 19857, 19858, 19858, 19858, 19858, 19861, 19861, 19862, 19863, 19867, 19868, 19868, 19869, 19869, 19869, 19870, 19870, 19871, 19872, 19873, 19873, 19875, 19876, 19878, 19879, 19879, 19879, 19880, 19880, 19880, 19880, 19882, 19883, 19883, 19883, 19885, 19885, 19887, 19887, 19887, 19888, 19889, 19889, 19891, 19892, 19893, 19895, 19896, 19897, 19898, 19899, 19899, 19899, 19899, 19900, 19901, 19901, 19905, 19905, 19908, 19911, 19911, 19912, 19913, 19913, 19913, 19914, 19914, 19915, 19915, 19915, 19917, 19919, 19920, 19921, 19922, 19923, 19923, 19924, 19925, 19926, 19927, 19928, 19928, 19930, 19930, 19931, 19932, 19933, 19933, 19933, 19934, 19935, 19935, 19936, 19936, 19937, 19938, 19938, 19939, 19941, 19941, 19942, 19943, 19943, 19946, 19947, 19947, 19950, 19950, 19951, 19952, 19952, 19953, 19954, 19957, 19959, 19961, 19961, 19961, 19962, 19963, 19963, 19965, 19966, 19968, 19970, 19971, 19971, 19972, 19972, 19975, 19976, 19978, 19979, 19979, 19979, 19980, 19982, 19983, 19983, 19983, 19984, 19987, 19987, 19989, 19990, 19991, 19992, 19993, 19993, 19997, 19997, 19998, 19999, 20000, 20000, 20001, 20001, 20002, 20002, 20002, 20005, 20006, 20007, 20007, 20007, 20008, 20008, 20008, 20009, 20009, 20009, 20009, 20010, 20010, 20010, 20011, 20013, 20013, 20014, 20015, 20015, 20016, 20016, 20016, 20017, 20018, 20018, 20019, 20021, 20025, 20025, 20026, 20026, 20026, 20027, 20027, 20028, 20028, 20029, 20030, 20030, 20031, 20032, 20033, 20033, 20033, 20034, 20035, 20035, 20035, 20037, 20037, 20038, 20038, 20038, 20039, 20040, 20040, 20041, 20041, 20041, 20042, 20043, 20046, 20049, 20050, 20050, 20051, 20052, 20052, 20053, 20053, 20054, 20054, 20054, 20054, 20055, 20056, 20057, 20058, 20058, 20059, 20060, 20060, 20060, 20062, 20063, 20063, 20063, 20065, 20066, 20067, 20068, 20068, 20069, 20070, 20070, 20071, 20071, 20071, 20072, 20072, 20072, 20073, 20074, 20079, 20080, 20080, 20081, 20083, 20085, 20086, 20087, 20087, 20088, 20089, 20089, 20090, 20090, 20091, 20092, 20094, 20095, 20096, 20097, 20098, 20098, 20098, 20099, 20099, 20101, 20101, 20103, 20104, 20104, 20107, 20109, 20109, 20111, 20112, 20112, 20117, 20117, 20117, 20117, 20117, 20119, 20121, 20121, 20122, 20123, 20125, 20125, 20127, 20130, 20131, 20133, 20134, 20137, 20137, 20138, 20139, 20139, 20140, 20141, 20142, 20143, 20144, 20145, 20145, 20146, 20146, 20147, 20150, 20150, 20154, 20154, 20155, 20155, 20155, 20156, 20156, 20158, 20159, 20159, 20161, 20161, 20162, 20164, 20165, 20165, 20166, 20167, 20167, 20168, 20168, 20170, 20170, 20170, 20170, 20173, 20173, 20174, 20175, 20175, 20175, 20176, 20177, 20178, 20178, 20179, 20179, 20180, 20181, 20181, 20182, 20182, 20182, 20183, 20183, 20183, 20184, 20184, 20185, 20187, 20187, 20188, 20188, 20189, 20191, 20194, 20194, 20195, 20195, 20196, 20197, 20197, 20198, 20199, 20199, 20199, 20201, 20202, 20202, 20202, 20203, 20205, 20206, 20206, 20207, 20209, 20210, 20212, 20214, 20215, 20219, 20221, 20221, 20222, 20223, 20223, 20225, 20225, 20226, 20226, 20226, 20228, 20228, 20229, 20230, 20230, 20231, 20231, 20232, 20235, 20235, 20236, 20237, 20239, 20240, 20240, 20241, 20241, 20241, 20242, 20245, 20246, 20252, 20252, 20253, 20254, 20254, 20255, 20256, 20260, 20261, 20261, 20261, 20262, 20262, 20263, 20263, 20266, 20268, 20268, 20269, 20271, 20272, 20272, 20273, 20274, 20276, 20278, 20278, 20278, 20279, 20279, 20279, 20281, 20282, 20284, 20286, 20287, 20287, 20287, 20288, 20288, 20289, 20290, 20291, 20292, 20292, 20296, 20299, 20299, 20299, 20300, 20304, 20306, 20307, 20309, 20309, 20309, 20309, 20310, 20311, 20311, 20311, 20312, 20313, 20313, 20313, 20314, 20315, 20316, 20317, 20318, 20318, 20318, 20318, 20319, 20320, 20320, 20320, 20321, 20321, 20322, 20324, 20324, 20325, 20328, 20328, 20329, 20329, 20331, 20332, 20333, 20334, 20338, 20341, 20341, 20342, 20343, 20343, 20345, 20345, 20345, 20346, 20346, 20347, 20347, 20348, 20350, 20350, 20350, 20351, 20351, 20352, 20354, 20356, 20356, 20356, 20357, 20359, 20359, 20359, 20360, 20361, 20361, 20364, 20365, 20367, 20368, 20371, 20372, 20375, 20375, 20378, 20378, 20383, 20383, 20384, 20385, 20389, 20389, 20390, 20390, 20391, 20391, 20392, 20393, 20393, 20393, 20395, 20397, 20398, 20400, 20401, 20402, 20403, 20406, 20407, 20407, 20411, 20411, 20413, 20414, 20415, 20417, 20418, 20418, 20420, 20421, 20422, 20423, 20423, 20423, 20423, 20425, 20426, 20431, 20431, 20433, 20435, 20437, 20437, 20439, 20439, 20441, 20446, 20446, 20449, 20449, 20452, 20454, 20454, 20455, 20456, 20456, 20457, 20457, 20459, 20460, 20461, 20461, 20461, 20463, 20464, 20466, 20466, 20466, 20467, 20470, 20470, 20472, 20472, 20473, 20474, 20474, 20475, 20476, 20476, 20479, 20479, 20479, 20479, 20481, 20481, 20482, 20484, 20484, 20485, 20486, 20488, 20489, 20490, 20490, 20490, 20490, 20492, 20492, 20493, 20494, 20495, 20496, 20498, 20499, 20500, 20500, 20501, 20502, 20503, 20504, 20506, 20508, 20509, 20509, 20510, 20511, 20511, 20514, 20515, 20516, 20517, 20518, 20519, 20520, 20520, 20521, 20522, 20525, 20525, 20525, 20527, 20528, 20529, 20529, 20529, 20529, 20530, 20531, 20531, 20532, 20532, 20532, 20533, 20533, 20534, 20535, 20537, 20537, 20537, 20538, 20538, 20539, 20539, 20542, 20542, 20543, 20543, 20543, 20545, 20545, 20546, 20549, 20549, 20549, 20550, 20551, 20552, 20556, 20557, 20557, 20558, 20560, 20562, 20562, 20563, 20563, 20563, 20563, 20564, 20564, 20566, 20566, 20567, 20567, 20568, 20568, 20569, 20569, 20570, 20572, 20573, 20573, 20574, 20574, 20575, 20576, 20576, 20577, 20578, 20579, 20580, 20581, 20581, 20581, 20581, 20583, 20584, 20584, 20584, 20585, 20586, 20586, 20588, 20590, 20591, 20592, 20594, 20595, 20596, 20598, 20598, 20598, 20599, 20600, 20600, 20601, 20601, 20601, 20602, 20602, 20603, 20603, 20606, 20608, 20608, 20609, 20609, 20609, 20609, 20610, 20611, 20611, 20611, 20614, 20616, 20619, 20619, 20620, 20620, 20622, 20625, 20625, 20625, 20625, 20628, 20629, 20629, 20632, 20632, 20633, 20634, 20635, 20635, 20635, 20636, 20636, 20637, 20638, 20638, 20639, 20640, 20643, 20644, 20644, 20645, 20647, 20648, 20653, 20654, 20654, 20656, 20656, 20663, 20666, 20667, 20668, 20671, 20671, 20672, 20673, 20674, 20674, 20674, 20678, 20678, 20679, 20679, 20680, 20683, 20683, 20684, 20684, 20685, 20689, 20690, 20692, 20692, 20692, 20693, 20694, 20697, 20698, 20698, 20699, 20702, 20703, 20703, 20707, 20708, 20710, 20712, 20714, 20714, 20715, 20715, 20716, 20717, 20717, 20718, 20718, 20719, 20719, 20719, 20719, 20719, 20720, 20721, 20722, 20723, 20723, 20723, 20724, 20724, 20725, 20726, 20726, 20727, 20727, 20728, 20729, 20729, 20730, 20732, 20732, 20733, 20733, 20735, 20737, 20737, 20737, 20738, 20739, 20740, 20742, 20742, 20745, 20745, 20746, 20747, 20750, 20750, 20751, 20751, 20751, 20753, 20755, 20756, 20757, 20758, 20759, 20760, 20761, 20761, 20762, 20762, 20763, 20765, 20766, 20766, 20766, 20768, 20768, 20769, 20769, 20770, 20772, 20772, 20773, 20776, 20777, 20778, 20780, 20780, 20781, 20782, 20784, 20787, 20787, 20787, 20788, 20789, 20789, 20790, 20790, 20791, 20793, 20793, 20794, 20795, 20795, 20795, 20795, 20799, 20799, 20800, 20801, 20802, 20803, 20803, 20804, 20805, 20805, 20805, 20805, 20807, 20808, 20808, 20810, 20810, 20811, 20813, 20814, 20814, 20814, 20816, 20816, 20818, 20820, 20820, 20823, 20824, 20825, 20825, 20825, 20826, 20826, 20828, 20831, 20831, 20831, 20832, 20833, 20833, 20833, 20834, 20836, 20836, 20838, 20839, 20840, 20840, 20842, 20844, 20844, 20844, 20844, 20844, 20846, 20846, 20846, 20847, 20847, 20849, 20849, 20849, 20851, 20852, 20852, 20853, 20854, 20854, 20855, 20856, 20857, 20857, 20858, 20860, 20860, 20860, 20861, 20862, 20864, 20864, 20865, 20866, 20866, 20866, 20867, 20867, 20868, 20868, 20869, 20870, 20871, 20874, 20875, 20876, 20876, 20877, 20878, 20878, 20878, 20879, 20881, 20881, 20883, 20884, 20884, 20888, 20888, 20889, 20890, 20892, 20892, 20895, 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39080, 39080, 39081, 39082, 39083, 39085, 39086, 39086, 39087, 39087, 39088, 39089, 39089, 39091, 39092, 39093, 39093, 39093, 39094, 39094, 39095, 39097, 39097, 39098, 39098, 39099, 39100, 39100, 39101, 39103, 39104, 39104, 39105, 39105, 39106, 39106, 39106, 39106, 39107, 39107, 39108, 39108, 39108, 39109, 39109, 39110, 39111, 39113, 39114, 39114, 39114, 39115, 39116, 39116, 39116, 39117, 39118, 39118, 39119, 39120, 39120, 39121, 39122, 39125, 39125, 39126, 39128, 39129, 39131, 39131, 39131, 39131, 39131, 39133, 39133, 39133, 39134, 39134, 39135, 39136, 39137, 39137, 39139, 39141, 39142, 39142, 39142, 39143, 39145, 39146, 39146, 39146, 39148, 39149, 39149, 39149, 39151, 39152, 39153, 39154, 39156, 39156, 39157, 39157, 39159, 39160, 39161, 39162, 39163, 39165, 39167, 39168, 39168, 39169, 39170, 39172, 39173, 39173, 39173, 39174, 39174, 39175, 39177, 39179, 39179, 39179, 39180, 39183, 39184, 39186, 39186, 39187, 39188, 39192, 39192, 39194, 39194, 39195, 39196, 39197, 39198, 39198, 39198, 39199, 39199, 39200, 39200, 39201, 39203, 39204, 39209, 39209, 39209, 39211, 39212, 39212, 39213, 39214, 39215, 39215, 39216, 39216, 39218, 39218, 39219, 39219, 39219, 39220, 39222, 39224, 39225, 39225, 39227, 39227, 39228, 39231, 39231, 39234, 39234, 39235, 39236, 39236, 39236, 39237, 39238, 39238, 39238, 39241, 39243, 39244, 39245, 39245, 39246, 39247, 39248, 39249, 39250, 39251, 39251, 39253, 39254, 39256, 39256, 39257, 39258, 39259, 39259, 39259, 39260, 39261, 39261, 39261, 39263, 39265, 39266, 39266, 39267, 39267, 39267, 39267, 39267, 39268, 39269, 39270, 39272, 39274, 39274, 39275, 39277, 39277, 39277, 39278, 39278, 39279, 39281, 39281, 39282, 39282, 39283, 39283, 39283, 39285, 39286, 39286, 39287, 39288, 39289, 39292, 39294, 39295, 39295, 39297, 39297, 39298, 39299, 39300, 39301, 39302, 39302, 39303, 39304, 39304, 39308, 39309, 39309, 39312, 39314, 39314, 39314, 39314, 39318, 39318, 39319, 39320, 39321, 39321, 39321, 39322, 39322, 39323, 39323, 39324, 39325, 39327, 39327, 39328, 39328, 39329, 39329, 39330, 39330, 39330, 39330, 39332, 39332, 39334, 39334, 39334, 39339, 39341, 39343, 39344, 39344, 39344, 39344, 39347, 39348, 39349, 39349, 39350, 39352, 39354, 39354, 39358, 39358, 39360, 39361, 39363, 39365, 39368, 39368, 39369, 39370, 39371, 39374, 39374, 39376, 39376, 39377, 39377, 39378, 39380, 39381, 39382, 39383, 39384, 39384, 39384, 39384, 39385, 39386, 39386, 39386, 39387, 39392, 39392, 39392, 39394, 39395, 39395, 39396, 39397, 39397, 39400, 39401, 39402, 39403, 39404, 39406, 39407, 39411, 39411, 39412, 39412, 39414, 39416, 39418, 39419, 39420, 39421, 39421, 39421, 39422, 39422, 39423, 39424, 39426, 39427, 39427, 39427, 39430, 39430, 39431, 39432, 39432, 39433, 39435, 39435, 39436, 39437, 39441, 39442, 39446, 39446, 39447, 39448, 39450, 39451, 39452, 39453, 39453, 39454, 39454, 39454, 39454, 39455, 39456, 39456, 39456, 39457, 39459, 39460, 39461, 39461, 39461, 39462, 39464, 39465, 39468, 39469, 39470, 39470, 39471, 39472, 39475, 39479, 39480, 39480, 39482, 39482, 39483, 39484, 39484, 39486, 39487, 39489, 39493, 39495, 39496, 39497, 39498, 39499, 39499, 39500, 39500, 39500, 39501, 39502, 39503, 39504, 39504, 39505, 39506, 39508, 39509, 39509, 39509, 39509, 39510, 39510, 39510, 39512, 39513, 39514, 39514, 39516, 39516, 39518, 39520, 39524, 39525, 39526, 39526, 39527, 39530, 39531, 39531, 39531, 39532, 39532, 39533, 39534, 39537, 39537, 39539, 39540, 39540, 39541, 39542, 39542, 39543, 39545, 39546, 39546, 39547, 39549, 39550, 39552, 39553, 39553, 39553, 39555, 39555, 39556, 39556, 39557, 39559, 39559, 39559, 39563, 39564, 39564, 39564, 39565, 39565, 39565, 39566, 39566, 39567, 39570, 39570, 39571, 39571, 39572, 39572, 39574, 39575, 39576, 39576, 39578, 39579, 39579, 39580, 39584, 39585, 39586, 39586, 39587, 39588, 39588, 39588, 39588, 39588, 39589, 39590, 39591, 39591, 39591, 39591, 39592, 39593, 39593, 39593, 39596, 39596, 39599, 39599, 39600, 39601, 39602, 39602, 39602, 39602, 39604, 39604, 39604, 39611, 39611, 39612, 39612, 39613, 39613, 39617, 39617, 39618, 39619, 39619, 39620, 39621, 39622, 39622, 39623, 39626, 39626, 39629, 39629, 39629, 39631, 39631, 39633, 39633, 39634, 39634, 39636, 39637, 39639, 39639, 39640, 39641, 39641, 39641, 39642, 39644, 39645, 39646, 39647, 39647, 39647, 39647, 39648, 39649, 39650, 39652, 39652, 39652, 39654, 39656, 39657, 39658, 39659, 39659, 39660, 39660, 39660, 39662, 39664, 39666, 39667, 39667, 39668, 39668, 39669, 39669, 39670, 39671, 39671, 39673, 39674, 39676, 39676, 39677, 39677, 39677, 39677, 39677, 39677, 39680, 39682, 39683, 39683, 39683, 39683, 39684, 39685, 39688, 39689, 39693, 39693, 39693, 39694, 39694, 39695, 39695, 39697, 39697, 39697, 39698, 39698, 39698, 39699, 39700, 39700, 39702, 39703, 39703, 39708, 39708, 39708, 39709, 39709, 39709, 39712, 39712, 39713, 39714, 39716, 39716, 39717, 39717, 39718, 39718, 39718, 39719, 39720, 39722, 39722, 39722, 39723, 39723, 39725, 39728, 39728, 39728, 39729, 39729, 39730, 39732, 39735, 39737, 39737, 39737, 39738, 39738, 39739, 39740, 39740, 39741, 39742, 39742, 39743, 39743, 39744, 39745, 39746, 39750, 39751, 39755, 39757, 39758, 39758, 39758, 39760, 39761, 39762, 39764, 39765, 39768, 39771, 39771, 39772, 39775, 39775, 39775, 39776, 39777, 39778, 39780, 39780, 39781, 39781, 39782, 39783, 39784, 39786, 39790, 39791, 39792, 39792, 39793, 39794, 39796, 39796, 39797, 39797, 39798, 39800, 39803, 39803, 39804, 39804, 39804, 39805, 39805, 39806, 39814, 39815, 39815, 39816, 39817, 39817, 39818, 39819, 39820, 39820, 39821, 39824, 39824, 39827, 39829, 39829, 39832, 39834, 39834, 39834, 39835, 39835, 39836, 39836, 39836, 39838, 39838, 39838, 39839, 39839, 39839, 39839, 39841, 39841, 39842, 39843, 39844, 39846, 39846, 39846, 39851, 39851, 39852, 39852, 39854, 39854, 39856, 39857, 39859, 39861, 39862, 39863, 39863, 39863, 39865, 39868, 39868, 39868, 39869, 39870, 39870, 39870, 39873, 39875, 39875, 39877, 39878, 39879, 39880, 39880, 39882, 39883, 39884, 39884, 39886, 39886, 39890, 39890, 39891, 39891, 39891, 39891, 39892, 39892, 39892, 39893, 39893, 39895, 39896, 39896, 39899, 39900, 39901, 39901, 39901, 39901, 39902, 39902, 39902, 39903, 39903, 39903, 39906, 39911, 39911, 39911, 39913, 39913, 39916, 39916, 39916, 39916, 39917, 39917, 39918, 39918, 39918, 39919, 39919, 39921, 39921, 39923, 39923, 39924, 39925, 39926, 39926, 39926, 39926, 39926, 39927, 39927, 39928, 39928, 39929, 39930, 39930, 39931, 39932, 39933, 39935, 39935, 39936, 39939, 39939, 39941, 39941, 39942, 39942, 39943, 39943, 39943, 39943, 39943, 39945, 39946, 39946, 39946, 39947, 39947, 39947, 39947, 39949, 39950, 39950, 39953, 39954, 39956, 39956, 39956, 39958, 39958, 39959, 39963, 39964, 39964, 39965, 39965, 39966, 39966, 39967, 39969, 39969, 39969, 39970, 39971, 39972, 39972, 39974, 39974, 39975, 39976, 39976, 39977, 39977, 39980, 39981, 39982, 39983, 39984, 39985, 39985, 39986, 39987, 39988, 39988, 39989, 39989, 39990, 39990, 39990, 39991, 39991, 39991, 39992, 39993, 39993, 39993, 39994, 39994, 39995, 39995, 39995, 39997, 39998, 40000, 40001, 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40263, 40264, 40264, 40265, 40265, 40266, 40267, 40268, 40268, 40269, 40269, 40270, 40270, 40270, 40270, 40271, 40273, 40273, 40275, 40275, 40276, 40276, 40276, 40278, 40280, 40281, 40281, 40281, 40281, 40285, 40285, 40286, 40288, 40288, 40289, 40291, 40293, 40295, 40296, 40296, 40300, 40301, 40301, 40302, 40304, 40306, 40306, 40307, 40307, 40308, 40308, 40308, 40309, 40311, 40311, 40311, 40314, 40314, 40315, 40316, 40316, 40316, 40318, 40319, 40319, 40319, 40322, 40323, 40323, 40323, 40327, 40329, 40331, 40333, 40333, 40335, 40335, 40335, 40337, 40337, 40338, 40340, 40340, 40340, 40341, 40341, 40343, 40343, 40343, 40343, 40346, 40350, 40350, 40352, 40353, 40353, 40355, 40356, 40356, 40357, 40358, 40359, 40360, 40361, 40361, 40364, 40365, 40366, 40367, 40369, 40370, 40370, 40371, 40372, 40373, 40373, 40373, 40373, 40375, 40376, 40376, 40377, 40378, 40380, 40381, 40381, 40381, 40382, 40382, 40382, 40384, 40387, 40388, 40388, 40388, 40389, 40391, 40392, 40393, 40393, 40396, 40396, 40397, 40397, 40397, 40397, 40399, 40400, 40400, 40401, 40401, 40401, 40404, 40405, 40406, 40406, 40407, 40408, 40410, 40410, 40410, 40411, 40412, 40413, 40413, 40413, 40414, 40416, 40416, 40418, 40420, 40420, 40420, 40421, 40422, 40422, 40422, 40423, 40424, 40425, 40425, 40429, 40431, 40432, 40434, 40436, 40437, 40438, 40438, 40440, 40440, 40441, 40441, 40441, 40442, 40443, 40444, 40445, 40447, 40447, 40448, 40450, 40450, 40450, 40450, 40451, 40452, 40454, 40454, 40454, 40454, 40454, 40455, 40456, 40457, 40458, 40458, 40459, 40460, 40460, 40462, 40462, 40462, 40463, 40464, 40464, 40465, 40465, 40466, 40466, 40467, 40468, 40469, 40470, 40471, 40473, 40473, 40473, 40474, 40474, 40474, 40475, 40476, 40477, 40479, 40480, 40480, 40480, 40481, 40481, 40482, 40482, 40484, 40484, 40484, 40487, 40488, 40490, 40491, 40491, 40494, 40494, 40496, 40497, 40498, 40499, 40500, 40503, 40504, 40505, 40506, 40507, 40513, 40514, 40517, 40517, 40520, 40522, 40522, 40523, 40523, 40523, 40523, 40524, 40525, 40525, 40526, 40527, 40527, 40528, 40530, 40533, 40534, 40534, 40534, 40535, 40537, 40537, 40539, 40539, 40539, 40542, 40545, 40545, 40547, 40547, 40547, 40550, 40552, 40553, 40553, 40554, 40556, 40556, 40557, 40558, 40559, 40562, 40566, 40567, 40567, 40574, 40574, 40575, 40579, 40579, 40579, 40580, 40580, 40580, 40580, 40581, 40584, 40585, 40585, 40586, 40587, 40589, 40590, 40590, 40591, 40592, 40593, 40594, 40594, 40595, 40597, 40598, 40601, 40602, 40606, 40607, 40609, 40610, 40613, 40614, 40615, 40615, 40616, 40617, 40617, 40618, 40618, 40618, 40619, 40624, 40625, 40625, 40625, 40625, 40625, 40626, 40626, 40627, 40628, 40628, 40628, 40633, 40634, 40634, 40636, 40636, 40636, 40636, 40638, 40639, 40640, 40641, 40641, 40642, 40642, 40644, 40644, 40644, 40645, 40645, 40646, 40647, 40647, 40651, 40654, 40656, 40657, 40657, 40658, 40659, 40659, 40661, 40661, 40662, 40663, 40664, 40664, 40666, 40667, 40668, 40668, 40669, 40669, 40670, 40671, 40673, 40673, 40677, 40679, 40679, 40680, 40682, 40683, 40684, 40684, 40684, 40685, 40685, 40686, 40686, 40688, 40688, 40688, 40689, 40690, 40692, 40692, 40693, 40694, 40695, 40696, 40697, 40697, 40698, 40698, 40699, 40699, 40699, 40700, 40700, 40700, 40700, 40703, 40703, 40706, 40706, 40708, 40708, 40709, 40710, 40712, 40713, 40714, 40717, 40717, 40717, 40717, 40719, 40719, 40721, 40722, 40722, 40723, 40724, 40724, 40724, 40725, 40725, 40726, 40727, 40727, 40727, 40728, 40731, 40731, 40732, 40733, 40734, 40734, 40734, 40736, 40738, 40740, 40741, 40742, 40743, 40743, 40744, 40745, 40745, 40746, 40749, 40751, 40751, 40752, 40752, 40754, 40755, 40756, 40756, 40757, 40758, 40762, 40762, 40762, 40764, 40764, 40765, 40766, 40767, 40767, 40768, 40768, 40768, 40770, 40770, 40770, 40771, 40771, 40771, 40771, 40773, 40773, 40774, 40774, 40775, 40775, 40775, 40776, 40776, 40776, 40776, 40778, 40779, 40779, 40780, 40781, 40783, 40783, 40783, 40784, 40785, 40786, 40787, 40787, 40789, 40790, 40790, 40791, 40792, 40794, 40796, 40798, 40798, 40802, 40802, 40803, 40803, 40804, 40804, 40804, 40805, 40805, 40806, 40807, 40808, 40808, 40808, 40809, 40810, 40811, 40812, 40815, 40815, 40816, 40816, 40816, 40818, 40819, 40819, 40820, 40823, 40823, 40824, 40826, 40826, 40827, 40829, 40829, 40831, 40831, 40836, 40838, 40839, 40839, 40839, 40840, 40841, 40842, 40843, 40844, 40844, 40844, 40844, 40845, 40849, 40849, 40850, 40850, 40850, 40852, 40854, 40858, 40858, 40859, 40859, 40860, 40860, 40862, 40863, 40863, 40864, 40865, 40867, 40867, 40871, 40871, 40873, 40874, 40875, 40876, 40876, 40876, 40877, 40877, 40877, 40877, 40881, 40883, 40883, 40885, 40885, 40887, 40887, 40887, 40888, 40890, 40891, 40892, 40895, 40899, 40900, 40901, 40901, 40904, 40907, 40907, 40911, 40911, 40912, 40913, 40914, 40914, 40915, 40917, 40919, 40919, 40920, 40920, 40920, 40923, 40923, 40924, 40924, 40924, 40925, 40926, 40932, 40935, 40937, 40937, 40940, 40941, 40941, 40943, 40943, 40943, 40944, 40944, 40945, 40945, 40945, 40951, 40951, 40956, 40957, 40957, 40962, 40963, 40963, 40965, 40965, 40966, 40968, 40971, 40971, 40971, 40974, 40974, 40975, 40976, 40976, 40977, 40978, 40979, 40980, 40980, 40982, 40983, 40983, 40983, 40983, 40984, 40984, 40985, 40985, 40989, 40991, 40991, 40992, 40993, 40993, 40994, 40995, 40997, 40997, 40998, 41000, 41000, 41000, 41004, 41004, 41006, 41006, 41008, 41008, 41008, 41010, 41011, 41011, 41012, 41014, 41015, 41016, 41017, 41017, 41017, 41018, 41020, 41021, 41022, 41024, 41024, 41024, 41025, 41025, 41026, 41027, 41029, 41029, 41030, 41031, 41031, 41034, 41035, 41036, 41038, 41038, 41040, 41041, 41042, 41043, 41044, 41045, 41046, 41046, 41046, 41047, 41047, 41048, 41048, 41051, 41052, 41056, 41056, 41056, 41057, 41057, 41058, 41061, 41063, 41064, 41065, 41065, 41067, 41068, 41071, 41071, 41072, 41072, 41074, 41074, 41076, 41078, 41078, 41078, 41078, 41079, 41079, 41079, 41079, 41080, 41082, 41082, 41083, 41084, 41084, 41086, 41087, 41088, 41088, 41088, 41090, 41090, 41091, 41092, 41092, 41093, 41094, 41094, 41097, 41097, 41097, 41098, 41099, 41099, 41102, 41102, 41104, 41105, 41105, 41107, 41108, 41108, 41109, 41109, 41109, 41110, 41111, 41114, 41114, 41115, 41115, 41115, 41119, 41119, 41119, 41120, 41123, 41123, 41123, 41124, 41125, 41125, 41126, 41126, 41127, 41129, 41129, 41130, 41130, 41131, 41131, 41132, 41133, 41133, 41135, 41135, 41136, 41137, 41138, 41138, 41139, 41140, 41140, 41140, 41140, 41140, 41141, 41141, 41142, 41142, 41142, 41143, 41143, 41144, 41144, 41144, 41149, 41149, 41150, 41152, 41153, 41155, 41159, 41159, 41159, 41160, 41161, 41162, 41162, 41163, 41164, 41164, 41167, 41167, 41171, 41171, 41172, 41172, 41172, 41172, 41173, 41173, 41174, 41175, 41175, 41177, 41177, 41178, 41179, 41179, 41182, 41183, 41185, 41185, 41185, 41186, 41186, 41189, 41190, 41190, 41191, 41193, 41193, 41195, 41196, 41198, 41198, 41198, 41199, 41201, 41202, 41203, 41204, 41206, 41206, 41206, 41209, 41212, 41213, 41213, 41214, 41214, 41215, 41217, 41217, 41218, 41218, 41219, 41219, 41221, 41221, 41222, 41223, 41223, 41224, 41224, 41226, 41228, 41230, 41233, 41233, 41233, 41235, 41235, 41235, 41238, 41240, 41241, 41243, 41244, 41244, 41245, 41246, 41247, 41248, 41248, 41249, 41249, 41250, 41252, 41252, 41252, 41253, 41253, 41253, 41254, 41254, 41254, 41255, 41257, 41257, 41258, 41261, 41261, 41261, 41262, 41265, 41267, 41267, 41271, 41274, 41277, 41278, 41278, 41279, 41280, 41282, 41283, 41283, 41283, 41283, 41284, 41284, 41285, 41289, 41291, 41292, 41294, 41297, 41297, 41301, 41302, 41303, 41305, 41306, 41306, 41306, 41307, 41307, 41312, 41312, 41313, 41315, 41315, 41315, 41316, 41316, 41317, 41317, 41318, 41318, 41318, 41319, 41321, 41322, 41322, 41323, 41324, 41329, 41329, 41330, 41330, 41331, 41335, 41335, 41337, 41338, 41338, 41339, 41340, 41340, 41342, 41347, 41349, 41350, 41350, 41351, 41352, 41352, 41352, 41353, 41353, 41355, 41356, 41356, 41358, 41358, 41360, 41360, 41362, 41363, 41363, 41363, 41363, 41363, 41365, 41366, 41366, 41367, 41369, 41371, 41372, 41372, 41373, 41373, 41374, 41374, 41375, 41375, 41376, 41376, 41377, 41377, 41378, 41380, 41380, 41381, 41381, 41382, 41383, 41383, 41385, 41386, 41386, 41387, 41389, 41390, 41390, 41391, 41392, 41392, 41393, 41393, 41394, 41394, 41396, 41396, 41397, 41398, 41399, 41399, 41399, 41400, 41404, 41406, 41409, 41410, 41410, 41411, 41412, 41412, 41416, 41416, 41417, 41417, 41417, 41418, 41418, 41419, 41422, 41423, 41423, 41423, 41424, 41424, 41424, 41425, 41427, 41428, 41430, 41431, 41432, 41435, 41436, 41437, 41438, 41438, 41439, 41439, 41439, 41440, 41441, 41442, 41442, 41443, 41444, 41445, 41445, 41446, 41446, 41447, 41447, 41448, 41449, 41450, 41450, 41451, 41452, 41452, 41454, 41456, 41457, 41459, 41460, 41462, 41462, 41465, 41465, 41465, 41465, 41465, 41466, 41466, 41466, 41468, 41470, 41471, 41471, 41472, 41473, 41476, 41478, 41478, 41478, 41480, 41480, 41483, 41483, 41483, 41483, 41484, 41485, 41485, 41486, 41486, 41487, 41489, 41489, 41490, 41490, 41491, 41492, 41492, 41493, 41493, 41494, 41494, 41494, 41494, 41495, 41496, 41497, 41498, 41499, 41499, 41500, 41500, 41501, 41501, 41501, 41502, 41504, 41504, 41505, 41505, 41505, 41506, 41507, 41507, 41508, 41509, 41509, 41509, 41510, 41511, 41513, 41513, 41515, 41515, 41515, 41516, 41517, 41518, 41518, 41521, 41522, 41523, 41524, 41524, 41525, 41526, 41526, 41527, 41527, 41527, 41531, 41531, 41532, 41535, 41535, 41535, 41536, 41537, 41538, 41538, 41538, 41540, 41542, 41542, 41542, 41542, 41543, 41543, 41543, 41544, 41545, 41546, 41546, 41546, 41549, 41550, 41550, 41550, 41550, 41550, 41551, 41551, 41551, 41552, 41552, 41554, 41555, 41555, 41555, 41556, 41558, 41559, 41560, 41560, 41562, 41562, 41563, 41563, 41564, 41564, 41565, 41566, 41566, 41567, 41567, 41568, 41569, 41570, 41570, 41570, 41572, 41573, 41573, 41573, 41573, 41577, 41578, 41578, 41578, 41580, 41580, 41580, 41580, 41583, 41584, 41584, 41586, 41586, 41586, 41589, 41589, 41591, 41591, 41594, 41595, 41595, 41596, 41597, 41598, 41599, 41599, 41600, 41600, 41601, 41601, 41601, 41605, 41608, 41608, 41610, 41611, 41611, 41611, 41614, 41619, 41620, 41621, 41621, 41622, 41623, 41624, 41624, 41625, 41626, 41628, 41630, 41635, 41636, 41636, 41637, 41642, 41642, 41643, 41643, 41647, 41648, 41648, 41648, 41650, 41654, 41654, 41655, 41655, 41655, 41656, 41657, 41658, 41660, 41661, 41661, 41662, 41667, 41669, 41673, 41674, 41674, 41677, 41677, 41678, 41679, 41679, 41680, 41680, 41682, 41682, 41683, 41684, 41684, 41685, 41685, 41686, 41686, 41686, 41687, 41688, 41689, 41690, 41690, 41690, 41695, 41695, 41698, 41698, 41699, 41699, 41702, 41703, 41705, 41705, 41706, 41707, 41708, 41712, 41712, 41712, 41712, 41713, 41713, 41714, 41714, 41714, 41716, 41716, 41716, 41717, 41717, 41719, 41719, 41720, 41724, 41727, 41728, 41728, 41728, 41729, 41730, 41730, 41732, 41734, 41734, 41734, 41735, 41735, 41737, 41737, 41737, 41738, 41739, 41740, 41740, 41741, 41743, 41743, 41744, 41745, 41745, 41745, 41746, 41748, 41748, 41749, 41750, 41755, 41758, 41758, 41759, 41759, 41759, 41759, 41761, 41762, 41763, 41764, 41764, 41768, 41768, 41768, 41769, 41769, 41769, 41769, 41770, 41770, 41772, 41773, 41773, 41774, 41774, 41776, 41777, 41777, 41777, 41777, 41778, 41778, 41779, 41779, 41779, 41780, 41783, 41783, 41783, 41784, 41784, 41785, 41787, 41789, 41789, 41790, 41791, 41791, 41792, 41792, 41792, 41793, 41794, 41794, 41795, 41795, 41796, 41796, 41797, 41798, 41799, 41801, 41802, 41803, 41804, 41805, 41805, 41806, 41807, 41807, 41807, 41807, 41808, 41809, 41810, 41810, 41811, 41813, 41813, 41817, 41817, 41817, 41817, 41819, 41821, 41822, 41822, 41823, 41823, 41825, 41825, 41825, 41826, 41826, 41827, 41827, 41828, 41828, 41828, 41829, 41829, 41830, 41831, 41832, 41832, 41832, 41835, 41835, 41838, 41839, 41840, 41840, 41840, 41841, 41841, 41842, 41843, 41843, 41844, 41844, 41844, 41846, 41847, 41847, 41848, 41849, 41849, 41850, 41851, 41855, 41855, 41856, 41856, 41858, 41858, 41858, 41860, 41861, 41862, 41862, 41864, 41864, 41864, 41865, 41865, 41867, 41869, 41870, 41870, 41872, 41873, 41873, 41875, 41876, 41876, 41876, 41876, 41877, 41878, 41878, 41879, 41881, 41883, 41883, 41886, 41886, 41888, 41889, 41889, 41890, 41891, 41891, 41893, 41894, 41894, 41895, 41895, 41895, 41895, 41896, 41896, 41896, 41897, 41897, 41898, 41898, 41901, 41901, 41901, 41903, 41904, 41905, 41905, 41905, 41905, 41906, 41906, 41908, 41908, 41909, 41910, 41912, 41912, 41912, 41913, 41913, 41914, 41915, 41916, 41917, 41918, 41920, 41920, 41921, 41924, 41924, 41924, 41926, 41926, 41926, 41926, 41927, 41927, 41927, 41927, 41928, 41928, 41928, 41928, 41929, 41931, 41931, 41931, 41932, 41932, 41933, 41933, 41934, 41935, 41935, 41936, 41936, 41937, 41938, 41939, 41940, 41942, 41943, 41944, 41945, 41946, 41946, 41946, 41948, 41949, 41949, 41950, 41950, 41950, 41951, 41954, 41955, 41956, 41957, 41958, 41958, 41960, 41960, 41963, 41964, 41964, 41964, 41964, 41967, 41969, 41973, 41973, 41974, 41976, 41977, 41979, 41979, 41979, 41979, 41979, 41980, 41982, 41983, 41984, 41985, 41986, 41986, 41986, 41987, 41990, 41990, 41991, 41992, 41992, 41994, 41994, 41995, 41997, 41997, 41998, 42001, 42001, 42002, 42002, 42002, 42002, 42003, 42004, 42008, 42009, 42009, 42009, 42010, 42011, 42013, 42015, 42016, 42018, 42019, 42020, 42020, 42021, 42022, 42022, 42022, 42022, 42023, 42024, 42024, 42024, 42025, 42027, 42029, 42029, 42030, 42032, 42032, 42032, 42033, 42035, 42035, 42036, 42038, 42042, 42042, 42043, 42043, 42044, 42048, 42050, 42050, 42051, 42051, 42053, 42055, 42055, 42056, 42057, 42058, 42059, 42060, 42060, 42060, 42061, 42062, 42062, 42063, 42064, 42064, 42065, 42066, 42068, 42069, 42070, 42070, 42071, 42072, 42072, 42073, 42073, 42073, 42074, 42076, 42076, 42077, 42077, 42077, 42077, 42077, 42078, 42081, 42081, 42082, 42082, 42083, 42084, 42084, 42084, 42086, 42086, 42086, 42088, 42088, 42090, 42092, 42096, 42096, 42097, 42098, 42098, 42101, 42102, 42102, 42102, 42104, 42106, 42106, 42107, 42108, 42109, 42111, 42111, 42111, 42112, 42112, 42112, 42113, 42114, 42115, 42116, 42118, 42118, 42119, 42119, 42119, 42120, 42121, 42121, 42121, 42122, 42122, 42124, 42125, 42125, 42125, 42125, 42127, 42127, 42128, 42130, 42131, 42132, 42133, 42134, 42136, 42136, 42137, 42137, 42138, 42138, 42140, 42141, 42142, 42143, 42143, 42144, 42147, 42149, 42150, 42150, 42151, 42152, 42153, 42155, 42155, 42155, 42157, 42157, 42158, 42159, 42162, 42162, 42163, 42164, 42164, 42165, 42165, 42165, 42167, 42171, 42172, 42173, 42174, 42174, 42176, 42177, 42178, 42178, 42181, 42182, 42182, 42184, 42184, 42185, 42186, 42186, 42187, 42188, 42188, 42188, 42188, 42188, 42189, 42189, 42189, 42189, 42191, 42191, 42192, 42192, 42194, 42194, 42195, 42195, 42196, 42198, 42201, 42202, 42203, 42203, 42203, 42204, 42204, 42204, 42204, 42204, 42204, 42205, 42205, 42206, 42207, 42208, 42208, 42209, 42209, 42210, 42213, 42214, 42214, 42215, 42215, 42216, 42216, 42216, 42218, 42218, 42219, 42219, 42220, 42220, 42221, 42222, 42222, 42223, 42225, 42225, 42227, 42228, 42228, 42229, 42229, 42230, 42230, 42231, 42232, 42232, 42232, 42233, 42234, 42234, 42236, 42237, 42238, 42238, 42239, 42240, 42241, 42241, 42241, 42241, 42242, 42243, 42243, 42244, 42245, 42247, 42247, 42248, 42249, 42249, 42249, 42250, 42250, 42250, 42251, 42251, 42256, 42256, 42256, 42258, 42258, 42259, 42259, 42260, 42261, 42265, 42266, 42267, 42267, 42268, 42269, 42270, 42271, 42272, 42272, 42273, 42273, 42273, 42274, 42274, 42275, 42276, 42277, 42277, 42281, 42281, 42281, 42281, 42282, 42283, 42283, 42283, 42284, 42285, 42287, 42289, 42293, 42294, 42296, 42298, 42298, 42299, 42299, 42299, 42301, 42302, 42304, 42305, 42306, 42307, 42307, 42309, 42309, 42310, 42310, 42312, 42313, 42313, 42316, 42317, 42318, 42319, 42320, 42320, 42320, 42321, 42321, 42321, 42322, 42322, 42323, 42323, 42323, 42324, 42324, 42327, 42327, 42329, 42329, 42330, 42332, 42332, 42333, 42334, 42334, 42334, 42335, 42335, 42336, 42336, 42337, 42337, 42338, 42339, 42343, 42344, 42344, 42345, 42345, 42346, 42347, 42347, 42349, 42353, 42353, 42354, 42355, 42355, 42356, 42357, 42358, 42361, 42361, 42363, 42363, 42365, 42365, 42366, 42368, 42369, 42370, 42371, 42371, 42372, 42372, 42373, 42373, 42374, 42374, 42376, 42377, 42377, 42378, 42378, 42379, 42379, 42382, 42382, 42383, 42383, 42383, 42384, 42384, 42384, 42385, 42385, 42385, 42386, 42386, 42386, 42387, 42387, 42388, 42389, 42389, 42390, 42391, 42392, 42393, 42393, 42394, 42395, 42397, 42398, 42400, 42403, 42404, 42405, 42407, 42409, 42410, 42410, 42413, 42413, 42415, 42416, 42416, 42417, 42418, 42418, 42419, 42419, 42420, 42422, 42422, 42422, 42423, 42424, 42424, 42424, 42424, 42426, 42426, 42427, 42428, 42429, 42430, 42430, 42431, 42435, 42435, 42438, 42439, 42439, 42440, 42440, 42441, 42444, 42444, 42449, 42449, 42450, 42450, 42450, 42450, 42451, 42452, 42454, 42454, 42455, 42456, 42456, 42458, 42459, 42459, 42460, 42461, 42462, 42464, 42466, 42467, 42467, 42470, 42471, 42472, 42472, 42472, 42472, 42473, 42475, 42476, 42477, 42477, 42478, 42480, 42480, 42481, 42482, 42483, 42484, 42485, 42485, 42486, 42489, 42490, 42492, 42493, 42494, 42494, 42497, 42497, 42498, 42498, 42499, 42499, 42500, 42500, 42501, 42501, 42503, 42503, 42503, 42504, 42506, 42506, 42509, 42509, 42509, 42509, 42511, 42513, 42513, 42515, 42517, 42518, 42518, 42519, 42519, 42520, 42521, 42522, 42525, 42526, 42526, 42526, 42527, 42528, 42529, 42529, 42532, 42532, 42533, 42533, 42533, 42534, 42534, 42536, 42536, 42537, 42537, 42537, 42538, 42542, 42542, 42542, 42543, 42544, 42546, 42546, 42546, 42550, 42551, 42554, 42555, 42557, 42557, 42558, 42559, 42561, 42561, 42562, 42562, 42562, 42565, 42567, 42568, 42569, 42569, 42570, 42571, 42571, 42572, 42572, 42572, 42572, 42573, 42573, 42573, 42574, 42578, 42578, 42583, 42585, 42587, 42588, 42588, 42589, 42589, 42590, 42591, 42592, 42593, 42593, 42593, 42593, 42596, 42596, 42598, 42598, 42604, 42604, 42606, 42608, 42608, 42609, 42610, 42611, 42611, 42612, 42613, 42613, 42613, 42614, 42615, 42616, 42616, 42617, 42617, 42618, 42618, 42618, 42625, 42625, 42626, 42627, 42629, 42630, 42631, 42631, 42631, 42631, 42632, 42634, 42634, 42635, 42635, 42635, 42637, 42637, 42638, 42639, 42639, 42639, 42639, 42639, 42640, 42641, 42641, 42641, 42644, 42645, 42646, 42650, 42650, 42652, 42652, 42652, 42654, 42660, 42660, 42660, 42661, 42661, 42665, 42665, 42665, 42667, 42667, 42668, 42669, 42671, 42671, 42673, 42673, 42674, 42674, 42675, 42678, 42679, 42679, 42679, 42681, 42681, 42682, 42682, 42684, 42684, 42685, 42685, 42685, 42685, 42686, 42688, 42689, 42689, 42690, 42691, 42692, 42693, 42693, 42693, 42695, 42695, 42696, 42696, 42697, 42698, 42701, 42701, 42701, 42701, 42701, 42702, 42703, 42704, 42707, 42707, 42709, 42709, 42709, 42710, 42710, 42710, 42711, 42712, 42716, 42716, 42720, 42720, 42723, 42723, 42725, 42725, 42727, 42727, 42727, 42728, 42729, 42730, 42730, 42731, 42732, 42732, 42732, 42733, 42734, 42735, 42737, 42738, 42738, 42739, 42740, 42741, 42741, 42742, 42743, 42744, 42745, 42745, 42746, 42746, 42747, 42747, 42750, 42750, 42751, 42752, 42752, 42752, 42752, 42753, 42753, 42755, 42757, 42758, 42760, 42761, 42762, 42763, 42766, 42766, 42767, 42770, 42772, 42773, 42774, 42777, 42777, 42779, 42780, 42780, 42780, 42783, 42783, 42783, 42785, 42786, 42786, 42787, 42787, 42788, 42790, 42790, 42790, 42792, 42792, 42792, 42793, 42793, 42795, 42795, 42798, 42798, 42798, 42798, 42799, 42799, 42800, 42801, 42802, 42804, 42805, 42806, 42808, 42809, 42811, 42812, 42812, 42812, 42813, 42813, 42814, 42819, 42823, 42825, 42830, 42831, 42832, 42833, 42835, 42835, 42835, 42837, 42839, 42839, 42840, 42841, 42841, 42841, 42841, 42842, 42846, 42846, 42847, 42847, 42848, 42848, 42850, 42851, 42851, 42853, 42854, 42856, 42857, 42860, 42860, 42860, 42862, 42862, 42863, 42863, 42864, 42865, 42865, 42867, 42867, 42868, 42868, 42868, 42869, 42869, 42869, 42872, 42873, 42874, 42874, 42875, 42876, 42876, 42878, 42879, 42880, 42881, 42883, 42884, 42885, 42885, 42886, 42887, 42888, 42889, 42891, 42891, 42895, 42899, 42901, 42902, 42902, 42903, 42904, 42905, 42905, 42906, 42906, 42907, 42908, 42908, 42909, 42910, 42910, 42911, 42912, 42914, 42916, 42916, 42916, 42917, 42919, 42919, 42919, 42920, 42920, 42921, 42925, 42927, 42928, 42928, 42929, 42929, 42931, 42933, 42933, 42935, 42937, 42937, 42941, 42942, 42942, 42943, 42943, 42943, 42945, 42945, 42945),42945), 1) + } + + test("test5") { + assertEquals(Main.minimumAddedCoins(List(1, 3, 3, 5, 7, 7, 8, 10, 13, 13, 15, 20, 21, 21, 22, 24, 25, 27, 27, 29, 30, 31, 33, 36, 41, 42, 43, 47, 48, 48, 50, 50, 53, 54, 55, 57, 57, 60, 60, 60, 61, 62, 63, 64, 64, 67, 67, 68, 69, 69, 70, 70, 71, 75, 79, 79, 79, 80, 82, 82, 83, 85, 86, 88, 88, 88, 91, 92, 94, 94, 94, 96, 97, 99, 102, 103, 105, 105, 107, 108, 108, 110, 110, 113, 113, 113, 113, 116, 119, 124, 129, 130, 133, 134, 134, 135, 137, 138, 139, 142, 144, 150, 150, 152, 153, 155, 155, 156, 157, 158, 159, 159, 159, 160, 160, 162, 163, 164, 164, 165, 166, 167, 169, 177, 177, 178, 179, 181, 182, 183, 190, 190, 194, 195, 197, 197, 198, 199, 200, 200, 200, 201, 202, 204, 204, 205, 206, 206, 206, 207, 208, 213, 215, 215, 215, 220, 221, 221, 226, 227, 227, 228, 232, 233, 238, 240, 241, 242, 243, 246, 248, 249, 249, 251, 251, 253, 256, 257, 257, 257, 258, 258, 258, 260, 261, 263, 264, 268, 269, 270, 270, 272, 272, 272, 275, 279, 280, 283, 284, 284, 284, 284, 285, 287, 287, 290, 293, 296, 296, 296, 297, 300, 301, 301, 301, 302, 303, 305, 306, 311, 314, 322, 327, 327, 328, 328, 328, 329, 330, 335, 336, 340, 341, 341, 344, 345, 350, 350, 350, 350, 352, 352, 353, 354, 356, 357, 357, 359, 360, 360, 362, 363, 364, 366, 367, 368, 368, 370, 370, 371, 371, 373, 375, 377, 380, 383, 384, 385, 385, 385, 386, 386, 387, 391, 393, 394, 395, 395, 396, 397, 397, 399, 399, 401, 404, 405, 407, 409, 409, 409, 413, 415, 416, 418, 419, 420, 421, 421, 422, 430, 435, 435, 440, 441, 441, 442, 443, 443, 444, 444, 444, 448, 450, 452, 453, 453, 455, 455, 457, 460, 463, 464, 464, 466, 467, 475, 476, 477, 481, 481, 482, 482, 482, 482, 484, 484, 484, 485, 488, 489, 489, 494, 494, 495, 496, 499, 499, 500, 503, 503, 504, 509, 509, 510, 511, 511, 512, 513, 514, 514, 515, 515, 516, 518, 521, 523, 524, 525, 526, 527, 527, 527, 527, 528, 529, 529, 529, 530, 531, 531, 536, 537, 538, 538, 538, 538, 539, 540, 541, 541, 543, 550, 551, 551, 552, 552, 552, 553, 556, 557, 557, 560, 561, 561, 562, 564, 564, 565, 566, 568, 569, 569, 570, 575, 575, 578, 580, 581, 584, 586, 589, 589, 590, 595, 595, 595, 597, 597, 597, 598, 600, 601, 602, 604, 609, 611, 612, 612, 613, 613, 613, 615, 616, 616, 620, 621, 622, 623, 624, 624, 625, 625, 627, 627, 629, 632, 634, 634, 635, 635, 638, 642, 642, 643, 643, 647, 648, 648, 648, 649, 650, 650, 651, 652, 653, 654, 657, 658, 658, 660, 660, 664, 665, 666, 666, 666, 667, 669, 670, 671, 672, 672, 675, 679, 680, 682, 683, 685, 687, 688, 690, 692, 692, 693, 694, 694, 696, 698, 698, 699, 703, 704, 704, 705, 706, 707, 707, 707, 708, 710, 710, 710, 712, 712, 715, 717, 717, 721, 723, 724, 727, 727, 728, 729, 731, 737, 739, 742, 743, 743, 743, 744, 744, 745, 748, 751, 752, 754, 756, 757, 758, 759, 760, 762, 762, 763, 765, 766, 767, 772, 773, 774, 779, 779, 780, 781, 783, 783, 788, 789, 789, 794, 794, 794, 797, 801, 801, 802, 803, 806, 806, 807, 807, 808, 811, 812, 815, 816, 820, 820, 821, 824, 827, 827, 828, 831, 836, 836, 837, 839, 839, 840, 842, 843, 843, 843, 850, 851, 851, 852, 852, 854, 854, 854, 854, 855, 856, 857, 858, 860, 860, 863, 866, 867, 868, 869, 872, 873, 873, 876, 876, 877, 878, 882, 884, 885, 886, 891, 891, 891, 893, 895, 895, 895, 897, 899, 900, 903, 905, 905, 907, 908, 910, 910, 911, 912, 915, 916, 917, 920, 921, 922, 923, 923, 923, 925, 926, 927, 929, 931, 932, 932, 932, 932, 933, 933, 937, 941, 942, 944, 945, 945, 945, 948, 948, 952, 952, 952, 954, 956, 958, 960, 960, 962, 963, 966, 968, 968, 972, 973, 975, 975, 986, 986, 986, 987, 988, 989, 993, 993, 997, 997, 998, 999, 1000, 1001, 1001, 1005, 1005, 1005, 1006, 1007, 1009, 1009, 1010, 1011, 1013, 1014, 1015, 1017, 1018, 1019, 1021, 1021, 1021, 1022, 1023, 1023, 1024, 1024, 1026, 1027, 1028, 1028, 1029, 1031, 1036, 1041, 1042, 1043, 1044, 1046, 1047, 1049, 1051, 1052, 1053, 1055, 1055, 1055, 1055, 1057, 1059, 1059, 1061, 1062, 1063, 1063, 1065, 1066, 1068, 1069, 1069, 1070, 1071, 1073, 1074, 1081, 1085, 1088, 1091, 1092, 1092, 1098, 1105, 1105, 1107, 1107, 1107, 1110, 1111, 1112, 1112, 1114, 1115, 1116, 1117, 1117, 1119, 1121, 1122, 1122, 1125, 1126, 1126, 1126, 1127, 1130, 1130, 1133, 1134, 1136, 1143, 1145, 1147, 1149, 1151, 1152, 1154, 1155, 1156, 1156, 1157, 1158, 1158, 1159, 1160, 1161, 1165, 1165, 1166, 1169, 1169, 1169, 1169, 1170, 1170, 1171, 1173, 1174, 1175, 1175, 1176, 1176, 1177, 1178, 1179, 1180, 1181, 1181, 1183, 1186, 1186, 1186, 1187, 1187, 1188, 1189, 1190, 1192, 1193, 1194, 1196, 1196, 1197, 1198, 1199, 1201, 1206, 1207, 1207, 1208, 1210, 1210, 1211, 1213, 1214, 1214, 1217, 1219, 1222, 1223, 1223, 1224, 1225, 1227, 1227, 1229, 1229, 1233, 1233, 1237, 1237, 1237, 1238, 1238, 1239, 1241, 1243, 1244, 1247, 1248, 1249, 1253, 1256, 1257, 1258, 1258, 1259, 1259, 1261, 1263, 1274, 1275, 1276, 1276, 1278, 1278, 1282, 1283, 1283, 1285, 1286, 1288, 1289, 1292, 1292, 1293, 1293, 1294, 1296, 1298, 1298, 1302, 1303, 1306, 1306, 1307, 1307, 1308, 1308, 1308, 1310, 1311, 1314, 1314, 1317, 1318, 1318, 1318, 1320, 1323, 1323, 1324, 1327, 1328, 1330, 1330, 1333, 1333, 1336, 1336, 1338, 1338, 1339, 1342, 1344, 1346, 1347, 1350, 1356, 1356, 1361, 1361, 1363, 1363, 1366, 1369, 1369, 1371, 1371, 1372, 1373, 1375, 1377, 1379, 1380, 1382, 1384, 1385, 1385, 1385, 1385, 1386, 1387, 1390, 1392, 1392, 1397, 1397, 1397, 1397, 1398, 1399, 1401, 1401, 1404, 1404, 1406, 1407, 1408, 1408, 1410, 1411, 1412, 1412, 1415, 1416, 1416, 1416, 1417, 1417, 1418, 1419, 1421, 1421, 1422, 1423, 1423, 1426, 1427, 1428, 1429, 1430, 1430, 1431, 1433, 1433, 1435, 1436, 1436, 1439, 1441, 1442, 1444, 1444, 1444, 1445, 1447, 1448, 1448, 1450, 1450, 1457, 1461, 1462, 1464, 1465, 1466, 1466, 1466, 1469, 1475, 1476, 1477, 1479, 1480, 1483, 1486, 1486, 1490, 1492, 1494, 1495, 1495, 1495, 1497, 1498, 1501, 1501, 1502, 1503, 1503, 1504, 1505, 1506, 1508, 1509, 1511, 1513, 1513, 1514, 1514, 1514, 1517, 1518, 1520, 1523, 1525, 1529, 1530, 1531, 1532, 1532, 1534, 1536, 1536, 1536, 1542, 1542, 1543, 1543, 1544, 1547, 1548, 1555, 1556, 1557, 1558, 1558, 1560, 1563, 1565, 1566, 1567, 1568, 1569, 1569, 1570, 1571, 1574, 1575, 1578, 1581, 1583, 1584, 1586, 1586, 1588, 1588, 1588, 1589, 1590, 1593, 1595, 1596, 1596, 1597, 1598, 1598, 1600, 1606, 1606, 1606, 1606, 1607, 1608, 1608, 1615, 1618, 1619, 1620, 1620, 1625, 1625, 1627, 1633, 1633, 1640, 1640, 1641, 1642, 1642, 1646, 1647, 1648, 1648, 1649, 1650, 1650, 1651, 1656, 1657, 1658, 1658, 1658, 1660, 1664, 1668, 1669, 1669, 1669, 1669, 1669, 1673, 1674, 1676, 1679, 1679, 1680, 1684, 1685, 1685, 1686, 1686, 1687, 1687, 1687, 1690, 1692, 1693, 1696, 1696, 1696, 1697, 1699, 1699, 1700, 1700, 1702, 1707, 1707, 1709, 1710, 1711, 1712, 1714, 1714, 1715, 1717, 1718, 1720, 1720, 1720, 1721, 1722, 1722, 1724, 1724, 1725, 1726, 1728, 1728, 1729, 1729, 1730, 1731, 1732, 1735, 1735, 1737, 1737, 1738, 1740, 1741, 1741, 1742, 1743, 1744, 1745, 1745, 1750, 1751, 1754, 1754, 1756, 1759, 1759, 1760, 1760, 1761, 1765, 1765, 1766, 1768, 1769, 1771, 1772, 1772, 1773, 1773, 1773, 1774, 1775, 1775, 1777, 1778, 1780, 1780, 1781, 1782, 1783, 1786, 1788, 1789, 1789, 1789, 1793, 1793, 1794, 1794, 1798, 1800, 1802, 1803, 1803, 1804, 1805, 1805, 1805, 1809, 1813, 1813, 1816, 1816, 1820, 1821, 1821, 1822, 1822, 1823, 1823, 1825, 1828, 1834, 1834, 1837, 1839, 1840, 1844, 1844, 1848, 1848, 1849, 1849, 1851, 1852, 1853, 1856, 1857, 1857, 1857, 1858, 1859, 1861, 1861, 1861, 1862, 1864, 1866, 1867, 1869, 1871, 1876, 1877, 1879, 1879, 1883, 1883, 1884, 1884, 1886, 1887, 1888, 1888, 1888, 1890, 1892, 1892, 1894, 1894, 1895, 1895, 1898, 1901, 1902, 1904, 1905, 1905, 1907, 1909, 1909, 1911, 1915, 1915, 1917, 1917, 1918, 1919, 1919, 1920, 1920, 1921, 1922, 1922, 1922, 1923, 1928, 1930, 1930, 1931, 1931, 1932, 1932, 1934, 1934, 1941, 1941, 1944, 1948, 1951, 1953, 1953, 1953, 1953, 1954, 1954, 1954, 1955, 1956, 1960, 1960, 1962, 1963, 1965, 1965, 1968, 1968, 1969, 1970, 1972, 1974, 1974, 1976, 1979, 1980, 1986, 1986, 1987, 1987, 1989, 1990, 1992, 1994, 1995, 1996, 1996, 1996, 1996, 1999, 1999, 2000, 2003, 2004, 2005, 2008, 2009, 2011, 2012, 2013, 2013, 2015, 2019, 2022, 2022, 2023, 2023, 2027, 2030, 2032, 2033, 2033, 2033, 2034, 2034, 2035, 2037, 2039, 2039, 2041, 2041, 2042, 2044, 2046, 2046, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2057, 2058, 2067, 2067, 2068, 2070, 2070, 2072, 2073, 2073, 2074, 2074, 2076, 2076, 2078, 2079, 2082, 2083, 2083, 2084, 2093, 2094, 2094, 2096, 2100, 2101, 2102, 2103, 2104, 2106, 2108, 2110, 2111, 2112, 2112, 2112, 2114, 2115, 2117, 2117, 2117, 2118, 2119, 2122, 2123, 2124, 2125, 2125, 2126, 2128, 2129, 2129, 2130, 2130, 2130, 2133, 2133, 2134, 2134, 2135, 2137, 2139, 2141, 2142, 2142, 2145, 2148, 2151, 2153, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2163, 2164, 2168, 2171, 2172, 2172, 2175, 2176, 2181, 2181, 2181, 2181, 2184, 2185, 2185, 2188, 2188, 2188, 2189, 2190, 2191, 2195, 2196, 2197, 2199, 2199, 2201, 2203, 2203, 2205, 2206, 2207, 2214, 2214, 2216, 2216, 2218, 2218, 2220, 2220, 2220, 2221, 2224, 2224, 2225, 2228, 2229, 2229, 2230, 2233, 2233, 2233, 2233, 2235, 2236, 2239, 2239, 2239, 2241, 2242, 2243, 2243, 2243, 2244, 2244, 2245, 2248, 2249, 2251, 2251, 2254, 2255, 2255, 2257, 2258, 2260, 2262, 2262, 2262, 2262, 2262, 2275, 2275, 2277, 2278, 2279, 2281, 2281, 2282, 2282, 2282, 2282, 2282, 2283, 2284, 2284, 2285, 2287, 2287, 2287, 2293, 2295, 2296, 2297, 2297, 2302, 2302, 2303, 2305, 2309, 2309, 2310, 2311, 2318, 2319, 2320, 2320, 2321, 2321, 2321, 2322, 2323, 2330, 2331, 2332, 2335, 2337, 2340, 2344, 2347, 2347, 2349, 2349, 2351, 2351, 2352, 2353, 2354, 2354, 2355, 2355, 2356, 2356, 2357, 2357, 2358, 2358, 2359, 2360, 2361, 2361, 2361, 2364, 2365, 2365, 2367, 2371, 2373, 2373, 2373, 2375, 2376, 2376, 2378, 2378, 2379, 2379, 2379, 2380, 2385, 2385, 2385, 2386, 2387, 2388, 2389, 2391, 2392, 2394, 2394, 2394, 2395, 2396, 2398, 2398, 2399, 2399, 2399, 2403, 2404, 2407, 2407, 2409, 2411, 2413, 2416, 2417, 2418, 2420, 2421, 2422, 2424, 2427, 2428, 2429, 2431, 2431, 2432, 2433, 2436, 2436, 2437, 2437, 2439, 2440, 2441, 2441, 2444, 2445, 2446, 2446, 2447, 2451, 2452, 2456, 2456, 2458, 2458, 2459, 2460, 2461, 2461, 2463, 2465, 2469, 2472, 2473, 2474, 2476, 2477, 2478, 2480, 2481, 2484, 2485, 2485, 2486, 2487, 2488, 2490, 2491, 2492, 2494, 2494, 2495, 2498, 2499, 2500, 2501, 2501, 2503, 2504, 2505, 2506, 2508, 2508, 2508, 2509, 2511, 2512, 2513, 2513, 2514, 2514, 2516, 2516, 2518, 2518, 2518, 2518, 2519, 2519, 2520, 2521, 2524, 2528, 2529, 2530, 2531, 2533, 2534, 2537, 2537, 2537, 2537, 2540, 2540, 2544, 2546, 2546, 2547, 2547, 2548, 2549, 2552, 2552, 2554, 2555, 2555, 2556, 2559, 2559, 2561, 2564, 2564, 2565, 2565, 2567, 2569, 2570, 2571, 2571, 2576, 2577, 2577, 2579, 2579, 2581, 2583, 2583, 2584, 2585, 2585, 2586, 2587, 2590, 2590, 2591, 2591, 2595, 2595, 2595, 2596, 2597, 2597, 2598, 2600, 2601, 2604, 2604, 2606, 2608, 2609, 2611, 2612, 2612, 2613, 2613, 2615, 2617, 2618, 2618, 2619, 2620, 2620, 2621, 2622, 2623, 2627, 2629, 2630, 2635, 2636, 2636, 2637, 2637, 2640, 2641, 2641, 2646, 2646, 2648, 2649, 2649, 2653, 2655, 2659, 2660, 2664, 2666, 2668, 2668, 2668, 2669, 2670, 2671, 2671, 2672, 2673, 2673, 2686, 2689, 2690, 2691, 2692, 2693, 2693, 2696, 2696, 2699, 2699, 2700, 2700, 2701, 2701, 2707, 2707, 2710, 2710, 2715, 2717, 2718, 2718, 2718, 2720, 2726, 2727, 2728, 2728, 2728, 2728, 2729, 2733, 2734, 2734, 2734, 2735, 2736, 2736, 2737, 2738, 2739, 2739, 2746, 2746, 2749, 2750, 2750, 2751, 2753, 2753, 2753, 2757, 2757, 2758, 2760, 2761, 2763, 2766, 2767, 2769, 2771, 2774, 2777, 2778, 2778, 2781, 2782, 2784, 2784, 2784, 2785, 2785, 2788, 2789, 2789, 2790, 2791, 2791, 2794, 2798, 2799, 2799, 2801, 2803, 2803, 2805, 2806, 2808, 2810, 2810, 2811, 2812, 2813, 2813, 2814, 2815, 2816, 2818, 2818, 2819, 2819, 2820, 2820, 2821, 2823, 2823, 2823, 2824, 2825, 2825, 2827, 2828, 2830, 2830, 2831, 2832, 2832, 2832, 2834, 2835, 2837, 2838, 2838, 2838, 2838, 2838, 2839, 2839, 2839, 2840, 2840, 2841, 2844, 2848, 2849, 2849, 2855, 2857, 2857, 2859, 2859, 2863, 2864, 2864, 2864, 2866, 2867, 2867, 2868, 2868, 2871, 2871, 2872, 2872, 2872, 2874, 2875, 2875, 2877, 2879, 2880, 2881, 2882, 2882, 2882, 2883, 2885, 2886, 2886, 2887, 2887, 2892, 2902, 2902, 2903, 2904, 2905, 2905, 2908, 2908, 2909, 2912, 2913, 2914, 2914, 2916, 2919, 2919, 2922, 2924, 2924, 2924, 2927, 2927, 2927, 2927, 2929, 2929, 2931, 2932, 2932, 2935, 2937, 2938, 2944, 2945, 2947, 2949, 2949, 2952, 2954, 2958, 2959, 2959, 2959, 2961, 2962, 2962, 2966, 2967, 2969, 2971, 2973, 2973, 2974, 2975, 2976, 2976, 2977, 2979, 2981, 2985, 2986, 2988, 2989, 2989, 2990, 2991, 2996, 2996, 2997, 2997, 2998, 3001, 3001, 3002, 3004, 3004, 3004, 3011, 3011, 3012, 3014, 3015, 3017, 3019, 3022, 3023, 3027, 3027, 3028, 3028, 3028, 3031, 3033, 3038, 3038, 3039, 3040, 3041, 3042, 3043, 3043, 3043, 3044, 3049, 3050, 3051, 3054, 3054, 3055, 3063, 3063, 3065, 3066, 3066, 3068, 3069, 3069, 3070, 3071, 3071, 3072, 3072, 3073, 3074, 3074, 3074, 3075, 3077, 3078, 3079, 3080, 3081, 3081, 3083, 3083, 3088, 3089, 3089, 3091, 3093, 3094, 3094, 3095, 3097, 3098, 3098, 3099, 3100, 3103, 3104, 3104, 3107, 3110, 3110, 3110, 3111, 3118, 3121, 3123, 3124, 3124, 3125, 3125, 3129, 3131, 3131, 3131, 3132, 3132, 3133, 3133, 3135, 3138, 3138, 3139, 3142, 3142, 3143, 3144, 3146, 3146, 3148, 3149, 3151, 3151, 3153, 3155, 3157, 3161, 3162, 3164, 3165, 3167, 3169, 3171, 3171, 3172, 3173, 3174, 3174, 3175, 3177, 3178, 3178, 3179, 3179, 3181, 3182, 3182, 3183, 3186, 3188, 3188, 3189, 3190, 3190, 3191, 3192, 3192, 3195, 3200, 3201, 3201, 3203, 3205, 3207, 3207, 3209, 3210, 3210, 3210, 3211, 3211, 3211, 3211, 3212, 3214, 3215, 3216, 3216, 3218, 3220, 3220, 3220, 3224, 3224, 3225, 3229, 3230, 3231, 3235, 3236, 3237, 3237, 3238, 3244, 3245, 3245, 3246, 3246, 3247, 3247, 3249, 3250, 3251, 3251, 3253, 3254, 3256, 3258, 3258, 3261, 3261, 3263, 3264, 3268, 3269, 3271, 3272, 3274, 3275, 3276, 3276, 3277, 3279, 3286, 3287, 3289, 3291, 3297, 3298, 3299, 3301, 3302, 3304, 3306, 3307, 3308, 3310, 3312, 3313, 3313, 3314, 3314, 3314, 3317, 3317, 3319, 3321, 3321, 3323, 3324, 3325, 3325, 3325, 3326, 3326, 3327, 3327, 3328, 3328, 3329, 3330, 3333, 3335, 3336, 3341, 3342, 3343, 3347, 3348, 3349, 3351, 3353, 3353, 3353, 3353, 3356, 3357, 3357, 3358, 3359, 3359, 3360, 3360, 3362, 3363, 3365, 3366, 3367, 3369, 3372, 3372, 3373, 3373, 3373, 3374, 3374, 3375, 3375, 3376, 3376, 3378, 3378, 3381, 3382, 3382, 3384, 3386, 3386, 3387, 3387, 3387, 3388, 3389, 3389, 3391, 3392, 3392, 3392, 3394, 3394, 3396, 3396, 3396, 3397, 3399, 3399, 3401, 3402, 3404, 3404, 3405, 3406, 3407, 3408, 3410, 3411, 3413, 3414, 3414, 3416, 3417, 3418, 3419, 3419, 3422, 3423, 3423, 3424, 3427, 3427, 3431, 3432, 3432, 3433, 3434, 3434, 3435, 3437, 3440, 3442, 3442, 3443, 3447, 3447, 3449, 3450, 3458, 3458, 3460, 3460, 3461, 3461, 3462, 3463, 3466, 3468, 3468, 3468, 3470, 3472, 3472, 3472, 3476, 3477, 3478, 3482, 3483, 3484, 3486, 3486, 3487, 3487, 3491, 3492, 3492, 3493, 3493, 3494, 3497, 3498, 3500, 3501, 3505, 3507, 3507, 3508, 3509, 3510, 3513, 3513, 3513, 3515, 3515, 3516, 3516, 3519, 3521, 3522, 3523, 3523, 3524, 3526, 3528, 3529, 3531, 3533, 3533, 3534, 3536, 3537, 3540, 3541, 3542, 3543, 3543, 3543, 3544, 3545, 3549, 3550, 3551, 3552, 3552, 3553, 3557, 3561, 3565, 3566, 3569, 3570, 3570, 3571, 3574, 3576, 3577, 3578, 3578, 3578, 3580, 3583, 3584, 3586, 3587, 3588, 3591, 3591, 3591, 3600, 3601, 3603, 3605, 3605, 3606, 3606, 3606, 3610, 3612, 3613, 3614, 3615, 3617, 3618, 3624, 3625, 3626, 3626, 3627, 3627, 3628, 3632, 3633, 3633, 3636, 3636, 3636, 3641, 3642, 3643, 3644, 3645, 3645, 3647, 3648, 3649, 3652, 3652, 3652, 3654, 3655, 3656, 3656, 3656, 3659, 3659, 3660, 3660, 3663, 3664, 3666, 3667, 3668, 3668, 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53872, 53872, 53874, 53874, 53877, 53879, 53881, 53881, 53882, 53883, 53883, 53886, 53888, 53890, 53891, 53894, 53896, 53900, 53901, 53903, 53906, 53906, 53908, 53909, 53912, 53913, 53913, 53914, 53917, 53917, 53917, 53918, 53919, 53921, 53921, 53922, 53923, 53929, 53929, 53930, 53931, 53931, 53934, 53937, 53939, 53939, 53944, 53944, 53947, 53952, 53952, 53957, 53959, 53962, 53963, 53964, 53966, 53968, 53970, 53971, 53973, 53974, 53974, 53974, 53975, 53975, 53976, 53977, 53977, 53978, 53980, 53984, 53987, 53990, 53991, 53992, 53992, 53994, 53994, 53995, 53999, 54000, 54001, 54001, 54003, 54003, 54004, 54005, 54007, 54008, 54009, 54010, 54013, 54014, 54014, 54014, 54015, 54015, 54015, 54016, 54016, 54016, 54018, 54018, 54020, 54020, 54022, 54024, 54026, 54028, 54029, 54030, 54032, 54032, 54036, 54036, 54039, 54042, 54046, 54050, 54050, 54051, 54053, 54054, 54057, 54057, 54057, 54058, 54058, 54060, 54060, 54060, 54061, 54061, 54064, 54064, 54065, 54066, 54070, 54071, 54071, 54072, 54073, 54074, 54076, 54076, 54078, 54079, 54079, 54080, 54080, 54081, 54081, 54082, 54082, 54083, 54083, 54083, 54083, 54084, 54084, 54085, 54088, 54092, 54093, 54095, 54095, 54097, 54103, 54103, 54105, 54107, 54108, 54110, 54112, 54113, 54115, 54119, 54121, 54124, 54125, 54125, 54128, 54132, 54133, 54135, 54136, 54136, 54137, 54140, 54141, 54142, 54145, 54146, 54146, 54150, 54151, 54151, 54155, 54157, 54159, 54160, 54161, 54162, 54162, 54164, 54164, 54166, 54170, 54170, 54172, 54174, 54174, 54180, 54182, 54183, 54185, 54188, 54188, 54189, 54190, 54191, 54193, 54194, 54195, 54196, 54200, 54200, 54202, 54203, 54205, 54206, 54209, 54209, 54209, 54210, 54211, 54212, 54216, 54217, 54218, 54218, 54221, 54223, 54224, 54225, 54226, 54226, 54227, 54229, 54231, 54232, 54233, 54234, 54234, 54235, 54236, 54236, 54237, 54238, 54239, 54239, 54240, 54241, 54241, 54244, 54247, 54249, 54249, 54250, 54251, 54251, 54254, 54254, 54254, 54255, 54257, 54257, 54262, 54263, 54266, 54267, 54267, 54268, 54271, 54271, 54275, 54276, 54277, 54277, 54279, 54280, 54281, 54286, 54286, 54286, 54287, 54287, 54289, 54289, 54289, 54290, 54292, 54292, 54294, 54294, 54302, 54302, 54303, 54303, 54303, 54304, 54304, 54306, 54308, 54309, 54311, 54312, 54314, 54315, 54315, 54317, 54320, 54321, 54322, 54324, 54327, 54327, 54332, 54333, 54334, 54335, 54337, 54338, 54339, 54339, 54340, 54340, 54340, 54341, 54344, 54344, 54346, 54349, 54349, 54351, 54353, 54354, 54355, 54357, 54357, 54357, 54361, 54361, 54361, 54363, 54363, 54363, 54364, 54364, 54365, 54367, 54368, 54369, 54370, 54370, 54370, 54372, 54374, 54374, 54376, 54376, 54380, 54380, 54382, 54383, 54386, 54386, 54387, 54390, 54390, 54391, 54392, 54392, 54393, 54393, 54393, 54394, 54396, 54397, 54399, 54399, 54405, 54406, 54406, 54407, 54408, 54410, 54410, 54410, 54413, 54413, 54414, 54417, 54417, 54418, 54420, 54421, 54422, 54422, 54424, 54424, 54426, 54427, 54429, 54430, 54432, 54432, 54433, 54433, 54435, 54436, 54436, 54439, 54439, 54441, 54441, 54442, 54445, 54445, 54448, 54448, 54453, 54456, 54461, 54462, 54463, 54464, 54466, 54466, 54468, 54470, 54475, 54476, 54478, 54479, 54480, 54483, 54485, 54485, 54487, 54490, 54491, 54491, 54492, 54495, 54496, 54496, 54502, 54504, 54504, 54505, 54505, 54506, 54508, 54508, 54509, 54511, 54512, 54512, 54514, 54516, 54517, 54517, 54522, 54523, 54523, 54523, 54524, 54524, 54525, 54526, 54527, 54528, 54528, 54530, 54530, 54533, 54533, 54534, 54539, 54539, 54539, 54539, 54541, 54541, 54544, 54544, 54545, 54546, 54548, 54552, 54552, 54553, 54555, 54557, 54559, 54561, 54562, 54563, 54563, 54564, 54566, 54570, 54574, 54575, 54575, 54576, 54578, 54578, 54579, 54581, 54583, 54586, 54587, 54587, 54587, 54592, 54593, 54593, 54594, 54594, 54594, 54595, 54595, 54598, 54600, 54604, 54606, 54608, 54610, 54613, 54613, 54615, 54616, 54620, 54623, 54627, 54628, 54629, 54629, 54632, 54632, 54635, 54635, 54636, 54637, 54639, 54640, 54641, 54641, 54642, 54643, 54644, 54644, 54645, 54645, 54646, 54648, 54648, 54649, 54650, 54651, 54651, 54652, 54653, 54654, 54655, 54656, 54663, 54667, 54667, 54668, 54670, 54670, 54672, 54674, 54676, 54676, 54678, 54680, 54683, 54683, 54685, 54686, 54687, 54689, 54690, 54691, 54697, 54697, 54698, 54700, 54702, 54703, 54703, 54704, 54705, 54706, 54708, 54708, 54711, 54712, 54713, 54714, 54715, 54716, 54716, 54718, 54718, 54718, 54720, 54721, 54729, 54729, 54731, 54734, 54735, 54738, 54739, 54739, 54743, 54744, 54747, 54751, 54751, 54752, 54754, 54754, 54755, 54755, 54755, 54758, 54760, 54762, 54762, 54765, 54766, 54766, 54767, 54767, 54768, 54768, 54768, 54769, 54770, 54770, 54772, 54772, 54773, 54773, 54774, 54777, 54778, 54781, 54782, 54783, 54784, 54786, 54788, 54790, 54790, 54791, 54792, 54793, 54795, 54803, 54804, 54805, 54807, 54809, 54810, 54810, 54811, 54811, 54813, 54815, 54818, 54821, 54821, 54825, 54828, 54828, 54829, 54830, 54831, 54831, 54832, 54832, 54834, 54836, 54837, 54837, 54838, 54838, 54839, 54840, 54840, 54840, 54840, 54841, 54853, 54853, 54853, 54854, 54855, 54856, 54857, 54858, 54862, 54863, 54863, 54863, 54864, 54868, 54870, 54871, 54873, 54874, 54874, 54875, 54880, 54880, 54881, 54881, 54883, 54883, 54884, 54885, 54885, 54886, 54888, 54890, 54892, 54893, 54893, 54894, 54894, 54895, 54898, 54898, 54898, 54898, 54899, 54901, 54902, 54902, 54903, 54909, 54909, 54909, 54910, 54913, 54913, 54915, 54916, 54917, 54918, 54919, 54919, 54920, 54924, 54925, 54926, 54927, 54927, 54932, 54934, 54935, 54944, 54951, 54951, 54952, 54956, 54958, 54958, 54960, 54963, 54963, 54964, 54967, 54968, 54976, 54978, 54979, 54979, 54979, 54983, 54984, 54985, 54988, 54988, 54988, 54988, 54989, 54989, 54990, 54991, 54992, 54993, 54994, 54996, 54996, 54999, 55001, 55001, 55001, 55005, 55005, 55008, 55009, 55010, 55010, 55013, 55015, 55015, 55015, 55016, 55017, 55019, 55020, 55020, 55023, 55024, 55026, 55027, 55028, 55030, 55031, 55037, 55039, 55039, 55042, 55043, 55046, 55047, 55048, 55048, 55051, 55052, 55053, 55056, 55056, 55057, 55057, 55058, 55064, 55065, 55066, 55066, 55067, 55068, 55068, 55069, 55071, 55071, 55074, 55076, 55077, 55079, 55080, 55080, 55085, 55087, 55088, 55089, 55090, 55090, 55090, 55091, 55092, 55093, 55094, 55094, 55098, 55099, 55099, 55100, 55101, 55102, 55103, 55108, 55109, 55109, 55110, 55112, 55112, 55113, 55115, 55115, 55117, 55120, 55120, 55121, 55122, 55122, 55122, 55123, 55123, 55123, 55125, 55125, 55126, 55127, 55128, 55128, 55129, 55129, 55130, 55130, 55132, 55133, 55133, 55133, 55134, 55134, 55134, 55136, 55137, 55138, 55139, 55139, 55140, 55141, 55142, 55144, 55146, 55146, 55148, 55148, 55148, 55150, 55150, 55150, 55152, 55153, 55154, 55155, 55158, 55164, 55165, 55166, 55168, 55169, 55172, 55172, 55173, 55173, 55176, 55176, 55177, 55179, 55179, 55182, 55182, 55182, 55183, 55184, 55185, 55187, 55187, 55189, 55190, 55193, 55195, 55197, 55203, 55204, 55204, 55204, 55205, 55205, 55208, 55209, 55210, 55212, 55216, 55216, 55216, 55218, 55219, 55219, 55223, 55223, 55224, 55231, 55233, 55236, 55238, 55239, 55239, 55240, 55242, 55243, 55244, 55244, 55248, 55248, 55249, 55250, 55251, 55253, 55254, 55254, 55255, 55257, 55258, 55260, 55261, 55261, 55262, 55262, 55264, 55266, 55270, 55270, 55271, 55271, 55272, 55275, 55276, 55277, 55278, 55279, 55279, 55280, 55281, 55281, 55282, 55283, 55284, 55285, 55286, 55289, 55289, 55290, 55292, 55293, 55294, 55295, 55296, 55298, 55301, 55302, 55303, 55304, 55304, 55306, 55307, 55308, 55309, 55309, 55311, 55312, 55315, 55315, 55318, 55320, 55320, 55321, 55322, 55323, 55323, 55327, 55332, 55333, 55337, 55338, 55338, 55339, 55340, 55340, 55341, 55341, 55342, 55344, 55345, 55345, 55345, 55346, 55346, 55346, 55351, 55351, 55354, 55356, 55357, 55361, 55363, 55364, 55367, 55368, 55368, 55369, 55369, 55370, 55370, 55371, 55372, 55373, 55377, 55378, 55378, 55378, 55378, 55380, 55380, 55383, 55383, 55384, 55384, 55387, 55387, 55387, 55389, 55389, 55391, 55391, 55392, 55392, 55392, 55394, 55395, 55397, 55397, 55400, 55400, 55400, 55400, 55401, 55408, 55408, 55412, 55413, 55420, 55423, 55423, 55424, 55424, 55426, 55426, 55426, 55429, 55433, 55433, 55434, 55434, 55436, 55442, 55448, 55449, 55450, 55451, 55452, 55452, 55453, 55454, 55454, 55456, 55458, 55460, 55460, 55461, 55462, 55465, 55468, 55469, 55469, 55470, 55473, 55474, 55475, 55477, 55479, 55480, 55481, 55483, 55483, 55485, 55485, 55485, 55485, 55485, 55486, 55486, 55487, 55487, 55490, 55491, 55492, 55494, 55495, 55496, 55496, 55496, 55498, 55499, 55501, 55502, 55503, 55503, 55504, 55506, 55507, 55509, 55509, 55510, 55511, 55514, 55517, 55517, 55519, 55519, 55520, 55521, 55523, 55524, 55525, 55526, 55528, 55528, 55529, 55530, 55531, 55533, 55534, 55535, 55543, 55544, 55545, 55549, 55549, 55550, 55552, 55552, 55554, 55555, 55557, 55557, 55557, 55567, 55568, 55569, 55571, 55574, 55574, 55574, 55575, 55577, 55578, 55578, 55579, 55581, 55581, 55581, 55581, 55583, 55586, 55588, 55589, 55591, 55592, 55595, 55597, 55599, 55600, 55601, 55601, 55601, 55602, 55604, 55607, 55609, 55611, 55611, 55614, 55615, 55616, 55616, 55617, 55617, 55618, 55619, 55620, 55621, 55622, 55622, 55624, 55624, 55625, 55626, 55628, 55630, 55630, 55637),55640), 1) + } + + test("test6") { + assertEquals(Main.minimumAddedCoins(List(28, 92, 134, 168, 169, 170, 176, 180, 188, 200, 253, 278, 328, 348, 382, 389, 390, 402, 445, 492, 497, 523, 526, 538, 585, 587, 595, 608, 687, 693, 696, 758, 759, 792, 797, 799, 810, 849, 920, 925, 940, 969, 972, 977, 1023, 1042, 1074, 1096, 1106, 1135, 1155, 1177, 1193, 1219, 1234, 1296, 1300, 1305, 1341, 1413, 1420, 1453, 1464, 1477, 1508, 1508, 1516, 1539, 1552, 1561, 1571, 1585, 1587, 1622, 1624, 1647, 1690, 1697, 1711, 1714, 1732, 1736, 1753, 1768, 1813, 1829, 1836, 1886, 1886, 1912, 1927, 1969, 1973, 1988, 1989, 2008, 2030, 2060, 2086, 2111, 2190, 2217, 2258, 2278, 2311, 2313, 2323, 2348, 2365, 2366, 2392, 2416, 2426, 2447, 2466, 2496, 2513, 2536, 2582, 2583, 2591, 2595, 2596, 2599, 2603, 2633, 2650, 2655, 2683, 2697, 2711, 2756, 2796, 2827, 2838, 2854, 2865, 2873, 2902, 2921, 2921, 2941, 2965, 2978, 2979, 2985, 3000, 3050, 3089, 3096, 3116, 3135, 3155, 3197, 3204, 3213, 3226, 3243, 3255, 3261, 3267, 3281, 3290, 3327, 3327, 3360, 3388, 3392, 3423, 3423, 3434, 3445, 3458, 3461, 3505, 3512, 3520, 3542, 3594, 3611, 3628, 3630, 3662, 3669, 3721, 3724, 3777, 3799, 3814, 3831, 3840, 3849, 3875, 3908, 3949, 3986, 3987, 3996, 4005, 4028, 4036, 4108, 4202, 4246, 4265, 4288, 4305, 4316, 4323, 4345, 4402, 4407, 4412, 4417, 4452, 4461, 4475, 4503, 4538, 4539, 4573, 4580, 4589, 4596, 4597, 4640, 4654, 4676, 4678, 4690, 4696, 4701, 4736, 4756, 4776, 4811, 4815, 4854, 4856, 4859, 4866, 4907, 4921, 4945, 4956, 4957, 4992, 5006, 5066, 5137, 5143, 5145, 5193, 5201, 5204, 5216, 5228, 5240, 5296, 5370, 5465, 5494, 5499, 5555, 5574, 5575, 5585, 5644, 5665, 5680, 5686, 5686, 5697, 5708, 5774, 5777, 5818, 5837, 5844, 5860, 5863, 5864, 5874, 5974, 5995, 6035, 6056, 6141, 6155, 6158, 6185, 6186, 6199, 6246, 6250, 6336, 6356, 6358, 6360, 6363, 6379, 6387, 6401, 6421, 6453, 6462, 6471, 6491, 6508, 6558, 6562, 6574, 6598, 6600, 6630, 6633, 6637, 6663, 6703, 6744, 6772, 6795, 6824, 6900, 6908, 6924, 6929, 6933, 7060, 7067, 7071, 7085, 7107, 7116, 7128, 7158, 7171, 7172, 7215, 7249, 7288, 7297, 7371, 7373, 7377, 7414, 7439, 7473, 7475, 7480, 7482, 7507, 7579, 7646, 7672, 7719, 7726, 7726, 7734, 7750, 7816, 7852, 7880, 7918, 7963, 8005, 8031, 8085, 8107, 8177, 8208, 8226, 8273, 8277, 8286, 8311, 8311, 8322, 8325, 8339, 8381, 8384, 8393, 8404, 8419, 8426, 8437, 8467, 8486, 8507, 8520, 8558, 8590, 8606, 8613, 8626, 8636, 8686, 8719, 8725, 8730, 8730, 8770, 8829, 8842, 8965, 9002, 9010, 9018, 9029, 9075, 9091, 9113, 9160, 9187, 9234, 9235, 9240, 9244, 9322, 9325, 9327, 9337, 9337, 9351, 9386, 9404, 9419, 9436, 9449, 9454, 9460, 9499, 9504, 9512, 9536, 9536, 9557, 9652, 9667, 9675, 9675, 9737, 9756, 9788, 9839, 9891, 9896, 9929, 9967, 10000, 10025, 10026, 10042, 10062, 10067, 10100, 10100, 10116, 10128, 10141, 10146, 10148, 10154, 10166, 10168, 10212, 10254, 10276, 10282, 10282, 10317, 10321, 10335, 10336, 10345, 10359, 10378, 10387, 10417, 10445, 10474, 10511, 10524, 10542, 10543, 10543, 10552, 10563, 10567, 10568, 10609, 10610, 10614, 10636, 10639, 10654, 10694, 10726, 10735, 10778, 10787, 10788, 10812, 10856, 10871, 10903, 10905, 10909, 10918, 10918, 10919, 10929, 10955, 10962, 11035, 11044, 11076, 11085, 11160, 11161, 11184, 11190, 11228, 11282, 11304, 11332, 11356, 11362, 11373, 11380, 11387, 11410, 11466, 11474, 11484, 11495, 11508, 11531, 11559, 11570, 11573, 11607, 11620, 11634, 11715, 11720, 11754, 11769, 11787, 11801, 11947, 11971, 11990, 11992, 12031, 12040, 12048, 12080, 12097, 12141, 12147, 12180, 12183, 12194, 12223, 12277, 12278, 12354, 12370, 12384, 12404, 12425, 12427, 12463, 12483, 12488, 12513, 12516, 12538, 12543, 12618, 12641, 12648, 12650, 12682, 12816, 12844, 12860, 12864, 12864, 12874, 12876, 12878, 12912, 12936, 12980, 12981, 13014, 13023, 13036, 13098, 13121, 13125, 13155, 13189, 13202, 13213, 13223, 13254, 13265, 13277, 13297, 13335, 13355, 13374, 13441, 13456, 13461, 13489, 13495, 13538, 13624, 13624, 13650, 13675, 13679, 13680, 13689, 13698, 13784, 13790, 13811, 13823, 13842, 13846, 13846, 13867, 13891, 13899, 13913, 13991, 14018, 14035, 14035, 14039, 14050, 14064, 14070, 14073, 14106, 14129, 14186, 14336, 14341, 14344, 14392, 14419, 14488, 14641, 14642, 14721, 14726, 14729, 14730, 14804, 14805, 14812, 14854, 14856, 14873, 14898, 14908, 14914, 14934, 14942, 15022, 15046, 15104, 15159, 15188, 15192, 15197, 15201, 15215, 15256, 15272, 15273, 15292, 15300, 15322, 15342, 15361, 15372, 15381, 15393, 15411, 15437, 15477, 15483, 15489, 15529, 15581, 15611, 15635, 15639, 15678, 15693, 15707, 15778, 15826, 15858, 15865, 15869, 15873, 15896, 15899, 15913, 15940, 15942, 15958, 15973, 15987, 16004, 16021, 16022, 16023, 16048, 16068, 16107, 16118, 16127, 16136, 16167, 16188, 16190, 16220, 16242, 16249, 16301, 16307, 16315, 16386, 16400, 16414, 16449, 16475, 16516, 16525, 16533, 16533, 16544, 16640, 16675, 16698, 16712, 16717, 16718, 16741, 16745, 16797, 16804, 16872, 16873, 16878, 16896, 16972, 17000, 17008, 17056, 17078, 17090, 17116, 17146, 17165, 17193, 17258, 17283, 17300, 17393, 17403, 17410, 17437, 17437, 17472, 17476, 17478, 17483, 17484, 17498, 17504, 17519, 17528, 17532, 17549, 17551, 17559, 17595, 17606, 17615, 17616, 17658, 17728, 17744, 17757, 17786, 17820, 17824, 17829, 17829, 17845, 17855, 17858, 17882, 17928, 17999, 17999, 18029, 18046, 18047, 18091, 18120, 18125, 18128, 18145, 18162, 18172, 18186, 18194, 18221, 18229, 18235, 18302, 18319, 18363, 18384, 18387, 18400, 18405, 18440, 18456, 18458, 18464, 18476, 18485, 18521, 18529, 18575, 18625, 18659, 18685, 18708, 18710, 18716, 18722, 18753, 18758, 18824, 18832, 18848, 18851, 18871, 18875, 18876, 18881, 18889, 18897, 18926, 18944, 18970, 18976, 19011, 19061, 19128, 19142, 19168, 19182, 19197, 19212, 19243, 19246, 19277, 19306, 19307, 19320, 19331, 19347, 19358, 19364, 19382, 19392, 19423, 19426, 19457, 19499, 19519, 19574, 19585, 19587, 19597, 19599, 19625, 19670, 19705, 19747, 19749, 19754, 19777, 19817, 19832, 19842, 19851, 19858, 19876, 19878, 19891, 19896, 19949, 20000, 20008, 20042, 20042, 20057, 20061, 20091, 20258, 20328, 20338, 20342, 20441, 20453, 20467, 20495, 20509, 20512, 20525, 20531, 20535, 20640, 20666, 20686, 20698, 20700, 20763, 20775, 20798, 20821, 20840, 20850, 20850, 20858, 20887, 20914, 20966, 20969, 20988, 21015, 21018, 21034, 21046, 21084, 21138, 21160, 21167, 21237, 21262, 21288, 21341, 21342, 21348, 21348, 21373, 21376, 21425, 21441, 21535, 21552, 21604, 21633, 21639, 21651, 21667, 21707, 21749, 21760, 21780, 21786, 21879, 21954, 21993, 22026, 22044, 22123, 22167, 22244, 22265, 22273, 22278, 22283, 22286, 22291, 22311, 22325, 22353, 22369, 22401, 22408, 22432, 22445, 22474, 22491, 22506, 22507, 22533, 22546, 22593, 22627, 22646, 22663, 22721, 22818, 22826, 22832, 22835, 22902, 22933, 22949, 22959, 23028, 23037, 23056, 23074, 23084, 23102, 23146, 23182, 23188, 23188, 23222, 23262, 23320, 23324, 23333, 23351, 23353, 23370, 23428, 23445, 23512, 23530, 23576, 23599, 23612, 23613, 23616, 23624, 23664, 23715, 23722, 23740, 23752, 23818, 23860, 23929, 23937, 23942, 24005, 24014, 24070, 24075, 24091, 24098, 24114, 24122, 24124, 24147, 24219, 24264, 24291, 24332, 24384, 24401, 24415, 24479, 24486, 24500, 24505, 24522, 24595, 24631, 24638, 24643, 24650, 24669, 24693, 24705, 24772, 24774, 24799, 24840, 24840, 24853, 24859, 24864, 24884, 24885, 24930, 24932, 24942, 24948, 24964, 25059, 25063, 25070, 25115, 25131, 25158, 25202, 25217, 25228, 25300, 25363, 25400, 25409, 25426, 25427, 25446, 25473, 25474, 25504, 25510, 25527, 25536, 25637, 25676, 25676, 25705, 25757, 25759, 25791, 25812, 25836, 25873, 25909, 25938, 25954, 25958, 26028, 26064, 26114, 26115, 26172, 26202, 26261, 26263, 26283, 26293, 26295, 26300, 26303, 26396, 26409, 26410, 26501, 26504, 26538, 26565, 26568, 26589, 26623, 26639, 26649, 26669, 26691, 26768, 26791, 26814, 26850, 26865, 26927, 26979, 27015, 27093, 27112, 27114, 27117, 27122, 27133, 27142, 27189, 27198, 27203, 27243, 27244, 27267, 27297, 27308, 27331, 27346, 27360, 27363, 27408, 27418, 27422, 27423, 27474, 27502, 27511, 27511, 27516, 27557, 27605, 27612, 27614, 27690, 27702, 27722, 27735, 27755, 27779, 27812, 27878, 27927, 27936, 27997, 28066, 28086, 28103, 28107, 28123, 28131, 28178, 28179, 28278, 28284, 28311, 28323, 28369, 28418, 28425, 28428, 28447, 28497, 28502, 28557, 28561, 28587, 28676, 28722, 28797, 28832, 28885, 28896, 28924, 28932, 28985, 29009, 29010, 29023, 29064, 29090, 29094, 29121, 29128, 29187, 29188, 29211, 29213, 29280, 29358, 29380, 29424, 29453, 29466, 29472, 29473, 29546, 29578, 29591, 29597, 29612, 29641, 29669, 29672, 29688, 29708, 29715, 29752, 29780, 29783, 29784, 29823, 29834, 29839, 29840, 29848, 29893, 29897, 29927, 29956, 29982, 30001, 30028, 30031, 30048, 30069, 30076, 30096, 30103, 30115, 30125, 30129, 30175, 30204, 30290, 30349, 30364, 30415, 30469, 30546, 30551, 30557, 30584, 30615, 30651, 30711, 30716, 30743, 30755, 30792, 30815, 30864, 30869, 30883, 30902, 30915, 30918, 30928, 30970, 31063, 31075, 31090, 31119, 31139, 31140, 31170, 31237, 31268, 31284, 31285, 31300, 31301, 31306, 31356, 31384, 31397, 31419, 31424, 31440, 31474, 31492, 31508, 31508, 31534, 31577, 31648, 31660, 31661, 31682, 31716, 31717, 31745, 31765, 31831, 31845, 31856, 31889, 31897, 31916, 31928, 31966, 32056, 32085, 32113, 32157, 32180, 32203, 32233, 32263, 32320, 32325, 32348, 32350, 32366, 32373, 32380, 32396, 32403, 32417, 32476, 32493, 32509, 32522, 32539, 32555, 32574, 32585, 32632, 32656, 32691, 32712, 32801, 32822, 32865, 32867, 32877, 32890, 32907, 32920, 32940, 32949, 32950, 32953, 32972, 32992, 33012, 33141, 33215, 33234, 33234, 33271, 33276, 33280, 33314, 33320, 33323, 33328, 33365, 33367, 33384, 33384, 33411, 33437, 33444, 33493, 33513, 33570, 33617, 33622, 33638, 33674, 33678, 33706, 33733, 33735, 33738, 33771, 33871, 33882, 33902, 33905, 33909, 33918, 33952, 33953, 33954, 33957, 33992, 33995, 34063, 34091, 34108, 34119, 34126, 34148, 34162, 34169, 34177, 34192, 34237, 34295, 34300, 34346, 34361, 34362, 34432, 34439, 34447, 34457, 34469, 34500, 34503, 34558, 34577, 34590, 34627, 34640, 34641, 34691, 34695, 34699, 34707, 34782, 34795, 34838, 34875, 34887, 34911, 34983, 35008, 35008, 35014, 35019, 35050, 35080, 35093, 35164, 35200, 35206, 35216, 35240, 35267, 35275, 35304, 35325, 35339, 35357, 35380, 35381, 35384, 35437, 35439, 35495, 35518, 35523, 35529, 35537, 35566, 35569, 35576, 35592, 35598, 35604, 35609, 35639, 35647, 35701, 35709, 35726, 35732, 35746, 35765, 35770, 35773, 35818, 35820, 35827, 35831, 35847, 35859, 35922, 35924, 35926, 35939, 35942, 35947, 35948, 35955, 36030, 36039, 36073, 36081, 36088, 36123, 36131, 36144, 36146, 36173, 36267, 36274, 36278, 36356, 36390, 36418, 36441, 36452, 36493, 36507, 36522, 36542, 36591, 36614, 36617, 36661, 36663, 36671, 36679, 36693, 36715, 36716, 36731, 36756, 36768, 36772, 36796, 36838, 36842, 36844, 36901, 36931, 36933, 36942, 37044, 37095, 37111, 37159, 37161, 37201, 37274, 37300, 37316, 37367, 37372, 37373, 37386, 37389, 37422, 37423, 37482, 37488, 37496, 37515, 37556, 37581, 37583, 37592, 37600, 37620, 37641, 37660, 37667, 37674, 37679, 37683, 37700, 37707, 37733, 37784, 37787, 37795, 37802, 37816, 37833, 37876, 37917, 37918, 37919, 37944, 37951, 37952, 38025, 38064, 38096, 38143, 38162, 38164, 38169, 38195, 38208, 38226, 38240, 38263, 38279, 38282, 38285, 38331, 38353, 38391, 38394, 38417, 38420, 38428, 38431, 38433, 38468, 38476, 38490, 38490, 38493, 38512, 38524, 38527, 38545, 38552, 38601, 38629, 38735, 38744, 38745, 38754, 38812, 38815, 38820, 38883, 38915, 38921, 38940, 38941, 38960, 38983, 38984, 39030, 39112, 39128, 39141, 39161, 39162, 39187, 39195, 39214, 39278, 39280, 39330, 39359, 39380, 39403, 39446, 39451, 39461, 39461, 39474, 39483, 39504, 39508, 39550, 39563, 39577, 39610, 39648, 39655, 39725, 39738, 39747, 39758, 39833, 39851, 39860, 39864, 39917, 40004, 40040, 40067, 40135, 40175, 40231, 40253, 40271, 40317, 40339, 40340, 40353, 40373, 40394, 40428, 40520, 40521, 40527, 40554, 40588, 40625, 40640, 40659, 40681, 40685, 40692, 40723, 40726, 40740, 40758, 40780, 40825, 40829, 40843, 40849, 40853, 40864, 40865, 40870, 40971, 41001, 41009, 41019, 41028, 41059, 41059, 41065, 41164, 41188, 41215, 41249, 41270, 41328, 41343, 41381, 41400, 41420, 41439, 41477, 41482, 41491, 41491, 41509, 41540, 41566, 41612, 41645, 41664, 41664, 41676, 41678, 41680, 41700, 41701, 41702, 41702, 41720, 41828, 41832, 41846, 41846, 41871, 41893, 41965, 42009, 42069, 42118, 42122, 42189, 42200, 42206, 42234, 42268, 42274, 42305, 42314, 42352, 42394, 42411, 42425, 42429, 42429, 42431, 42443, 42443, 42545, 42558, 42566, 42587, 42618, 42628, 42804, 42825, 42856, 42865, 42875, 42884, 42900, 42919, 42937, 42938, 42953, 42963, 43001, 43041, 43047, 43048, 43112, 43119, 43127, 43129, 43132, 43138, 43144, 43175, 43182, 43211, 43221, 43290, 43301, 43303, 43310, 43315, 43350, 43351, 43364, 43423, 43427, 43442, 43461, 43474, 43514, 43515, 43529, 43571, 43578, 43587, 43603, 43669, 43722, 43748, 43834, 43873, 43882, 43884, 43904, 43946, 43949, 43968, 43990, 44043, 44045, 44077, 44083, 44084, 44093, 44108, 44109, 44118, 44133, 44177, 44193, 44213, 44239, 44254, 44268, 44285, 44318, 44330, 44332, 44362, 44367, 44376, 44410, 44431, 44470, 44478, 44486, 44501, 44509, 44533, 44550, 44592, 44622, 44630, 44635, 44697, 44702, 44714, 44747, 44756, 44763, 44773, 44780, 44785, 44812, 44831, 44841, 44846, 44852, 44854, 44877, 44888, 44894, 44914, 44938, 44997, 45006, 45008, 45056, 45070, 45077, 45087, 45193, 45266, 45384, 45386, 45402, 45410, 45442, 45451, 45468, 45505, 45555, 45574, 45579, 45587, 45601, 45621, 45625, 45629, 45638, 45676, 45710, 45724, 45827, 45836, 45863, 45878, 45933, 45957, 45979, 46011, 46023, 46058, 46063, 46082, 46116, 46143, 46155, 46189, 46212, 46236, 46265, 46281, 46284, 46328, 46337, 46340, 46353, 46358, 46371, 46389, 46427, 46480, 46551, 46553, 46564, 46584, 46587, 46600, 46611, 46611, 46621, 46697, 46698, 46730, 46750, 46757, 46773, 46811, 46822, 46831, 46833, 46837, 46848, 46878, 46888, 46919, 46928, 46936, 46961, 46966, 47024, 47025, 47032, 47082, 47083, 47088, 47090, 47099, 47127, 47158, 47166, 47179, 47195, 47234, 47238, 47342, 47376, 47393, 47397, 47442, 47450, 47472, 47521, 47545, 47598, 47605, 47642, 47662, 47696, 47701, 47730, 47745, 47781, 47933, 48023, 48038, 48048, 48057, 48099, 48111, 48112, 48150, 48161, 48171, 48192, 48222, 48283, 48297, 48335, 48346, 48366, 48372, 48392, 48425, 48425, 48446, 48454, 48473, 48607, 48645, 48673, 48691, 48701, 48702, 48705, 48706, 48730, 48732, 48737, 48742, 48766, 48808, 48815, 48819, 48823, 48845, 48868, 48888, 48901, 48910, 48958, 49004, 49045, 49079, 49189, 49229, 49355, 49392, 49396, 49417, 49435, 49435, 49443, 49465, 49476, 49486, 49495, 49505, 49508, 49516, 49573, 49583, 49593, 49599, 49657, 49663, 49721, 49725, 49734, 49737, 49765, 49774, 49803, 49844, 49844, 49853, 49856, 49913, 49918, 49985, 50020, 50032, 50059, 50119, 50142, 50142, 50146, 50154, 50156, 50157, 50198, 50226, 50234, 50237, 50241, 50245, 50246, 50249, 50265, 50282, 50321, 50360, 50397, 50420, 50434, 50443, 50465, 50472, 50474, 50483, 50491, 50511, 50530, 50542, 50558, 50568, 50569, 50591, 50593, 50593, 50603, 50659, 50706, 50720, 50720, 50746, 50763, 50770, 50788, 50797, 50811, 50839, 50899, 50902, 50919, 51016, 51028, 51030, 51048, 51080, 51120, 51129, 51132, 51135, 51157, 51166, 51183, 51219, 51242, 51256, 51266, 51410, 51418, 51422, 51461, 51481, 51550, 51572, 51587, 51599, 51617, 51662, 51692, 51720, 51729, 51739, 51764, 51773, 51799, 51815, 51854, 51871, 51872, 51922, 51944, 51960, 51996, 52003, 52017, 52079, 52094, 52112, 52128, 52136, 52153, 52164, 52193, 52196, 52215, 52217, 52230, 52244, 52251, 52276, 52278, 52288, 52288, 52346, 52405, 52452, 52488, 52511, 52517, 52547, 52548, 52551, 52586, 52603, 52604, 52647, 52670, 52682, 52696, 52828, 52857, 52900, 52917, 52920, 52947, 52947, 52998, 53032, 53040, 53053, 53057, 53077, 53140, 53141, 53184, 53193, 53219, 53229, 53239, 53268, 53276, 53307, 53308, 53365, 53381, 53390, 53395, 53444, 53449, 53458, 53469, 53470, 53487, 53495, 53513, 53560, 53580, 53607, 53629, 53637, 53677, 53688, 53701, 53723, 53734, 53738, 53756, 53765, 53767, 53769, 53771, 53796, 53799, 53870, 53885, 53896, 53904, 53920, 53923, 53975, 53997, 54006, 54039, 54071, 54090, 54096, 54096, 54122, 54123, 54130, 54150, 54150, 54200, 54216, 54234, 54274, 54283, 54310, 54332, 54368, 54411, 54523, 54547, 54549, 54552, 54556, 54566, 54576, 54588, 54588, 54601, 54622, 54624, 54659, 54665, 54670, 54736, 54744, 54747, 54747, 54756, 54847, 54849, 54875, 54895, 54896, 54896, 54904, 54938, 54953, 54964, 55001, 55031, 55061, 55069, 55146, 55150, 55181, 55182, 55197, 55225, 55242, 55267, 55317, 55365, 55378, 55402, 55421, 55443, 55449, 55461, 55504, 55558, 55571, 55596, 55787, 55799, 55872, 55879, 55895, 55929, 55943, 55956, 55993, 56020, 56021, 56025, 56029, 56047, 56067, 56074, 56117, 56119, 56222, 56226, 56260, 56318, 56318, 56320, 56353, 56372, 56386, 56397, 56445, 56445, 56449, 56465, 56491, 56497, 56506, 56545, 56635, 56720, 56742, 56771, 56808, 56815, 56846, 56896, 56900, 56922, 57034, 57034, 57059, 57072, 57074, 57118, 57128, 57130, 57133, 57138, 57139, 57140, 57146, 57155, 57161, 57167, 57189, 57239, 57276, 57358, 57361, 57368, 57387, 57439, 57445, 57451, 57461, 57474, 57480, 57486, 57500, 57535, 57537, 57558, 57587, 57643, 57661, 57668, 57721, 57726, 57753, 57772, 57772, 57790, 57842, 57876, 57929, 57932, 57935, 58001, 58009, 58013, 58043, 58049, 58114, 58119, 58150, 58152, 58158, 58178, 58180, 58208, 58242, 58252, 58255, 58324, 58360, 58380, 58405, 58442, 58448, 58489, 58498, 58512, 58548, 58555, 58607, 58630, 58666, 58700, 58782, 58830, 58855, 58860, 58861, 58904, 58937, 58978, 58982, 58988, 59008, 59044, 59093, 59114, 59132, 59159, 59233, 59239, 59241, 59263, 59284, 59288, 59315, 59338, 59387, 59404, 59447, 59472, 59495, 59538, 59573, 59585, 59594, 59597, 59611, 59669, 59680, 59700, 59741, 59745, 59761, 59791, 59901, 59921, 59961, 60059, 60191, 60192, 60206, 60221, 60255, 60255, 60259, 60309, 60321, 60345, 60352, 60378, 60449, 60450, 60462, 60471, 60477, 60508, 60546),60589), 6) + } + + test("test7") { + assertEquals(Main.minimumAddedCoins(List(1, 1, 2, 3, 3, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 12, 12, 13, 13, 13, 13, 15, 15, 15, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 23, 23, 25, 26, 26, 28, 28, 29, 31, 32, 33, 33, 33, 35, 35, 37, 37, 37, 37, 38, 38, 38, 38, 39, 40, 40, 40, 40, 44, 44, 44, 44, 45, 46, 46, 49, 49, 52, 53, 53, 53, 54, 55, 55, 56, 57, 57, 57, 58, 58, 59, 59, 59, 60, 60, 60, 60, 60, 61, 63, 63, 63, 63, 63, 64, 64, 64, 65, 65, 66, 67, 67, 67, 67, 68, 68, 69, 69, 69, 70, 70, 71, 72, 72, 73, 73, 73, 74, 75, 75, 76, 76, 77, 78, 78, 78, 78, 79, 81, 81, 82, 83, 83, 84, 85, 85, 86, 86, 87, 87, 88, 88, 89, 89, 89, 89, 90, 90, 91, 91, 91, 92, 92, 92, 94, 95, 96, 96, 98, 99, 99, 99, 100, 101, 101, 102, 102, 102, 102, 104, 104, 105, 106, 107, 108, 108, 108, 108, 108, 109, 110, 110, 112, 112, 113, 114, 115, 116, 116, 116, 117, 118, 120, 120, 121, 121, 123, 124, 124, 125, 126, 128, 128, 129, 129, 130, 130, 130, 131, 131, 131, 131, 132, 134, 135, 136, 137, 137, 137, 138, 138, 139, 139, 140, 140, 141, 142, 143, 143, 143, 144, 144, 145, 145, 145, 147, 149, 150, 150, 150, 150, 152, 154, 155, 155, 156, 156, 158, 159, 160, 160, 160, 162, 162, 163, 166, 167, 167, 168, 169, 170, 170, 170, 171, 171, 172, 172, 172, 174, 174, 175, 175, 175, 176, 177, 177, 177, 178, 178, 179, 180, 180, 181, 182, 182, 182, 183, 183, 184, 184, 185, 185, 186, 186, 187, 187, 187, 188, 188, 188, 189, 192, 192, 192, 194, 194, 196, 197, 197, 198, 199, 199, 201, 201, 202, 202, 204, 204, 204, 206, 206, 207, 207, 208, 208, 208, 209, 209, 210, 210, 210, 211, 212, 212, 212, 212, 212, 213, 213, 213, 213, 213, 213, 213, 214, 214, 215, 215, 216, 216, 217, 217, 217, 217, 218, 218, 218, 219, 220, 220, 220, 221, 222, 222, 223, 225, 225, 225, 226, 226, 227, 227, 228, 228, 228, 228, 230, 230, 232, 232, 232, 233, 233, 234, 234, 234, 235, 235, 235, 235, 236, 236, 238, 239, 239, 240, 240, 240, 241, 242, 243, 243, 243, 243, 243, 244, 245, 246, 246, 250, 250, 250, 251, 251, 251, 252, 252, 253, 253, 254, 254, 255, 257, 257, 258, 260, 261, 262, 262, 262, 263, 263, 264, 264, 264, 265, 265, 267, 267, 268, 268, 269, 269, 269, 271, 271, 271, 272, 273, 275, 276, 276, 276, 276, 278, 279, 280, 280, 280, 280, 281, 282, 282, 283, 283, 283, 285, 286, 286, 286, 286, 286, 286, 287, 288, 288, 288, 289, 289, 290, 290, 291, 292, 292, 292, 294, 294, 295, 295, 295, 295, 296, 298, 298, 298, 299, 299, 299, 299, 299, 301, 301, 301, 301, 302, 303, 303, 304, 304, 305, 305, 305, 305, 306, 306, 306, 307, 307, 308, 309, 309, 309, 309, 310, 310, 311, 312, 314, 316, 317, 318, 319, 319, 320, 320, 320, 320, 321, 321, 321, 323, 323, 324, 324, 324, 324, 325, 325, 326, 327, 328, 328, 329, 329, 330, 330, 332, 332, 333, 333, 333, 333, 334, 334, 334, 334, 334, 335, 335, 336, 336, 336, 337, 337, 338, 338, 338, 339, 339, 339, 340, 341, 342, 342, 343, 343, 343, 343, 344, 346, 349, 350, 351, 354, 355, 355, 355, 355, 356, 357, 357, 357, 357, 357, 358, 359, 360, 360, 361, 363, 364, 364, 367, 367, 369, 369, 369, 370, 370, 371, 373, 374, 374, 375, 375, 376, 377, 377, 380, 381, 382, 382, 383, 383, 386, 387, 387, 388, 388, 388, 389, 389, 390, 391, 391, 391, 392, 392, 392, 393, 393, 395, 395, 396, 396, 396, 397, 397, 398, 398, 398, 399, 400, 400, 400, 400, 401, 401, 401, 401, 401, 402, 403, 403, 404, 404, 406, 406, 407, 408, 408, 408, 409, 409, 410, 411, 411, 412, 412, 412, 413, 413, 414, 414, 415, 415, 415, 416, 418, 419, 419, 420, 420, 421, 421, 421, 421, 422, 423, 424, 424, 425, 426, 426, 426, 428, 429, 430, 430, 430, 431, 431, 433, 433, 433, 433, 434, 435, 435, 437, 439, 440, 441, 442, 442, 442, 442, 443, 443, 444, 445, 447, 448, 449, 449, 450, 450, 450, 451, 451, 452, 455, 456, 456, 457, 457, 458, 459, 460, 460, 463, 463, 463, 463, 464, 466, 469, 470, 470, 470, 471, 471, 471, 472, 475, 475, 475, 476, 476, 477, 478, 478, 480, 481, 481, 482, 484, 485, 485, 487, 488, 488, 488, 491, 491, 491, 492, 494, 495, 495, 495, 496, 498, 499, 499, 499, 499, 500, 500, 500, 500, 501, 501, 501, 502, 502, 502, 502, 504, 504, 507, 508, 508, 508, 508, 508, 509, 509, 509, 510, 511, 511, 511, 511, 511, 512, 512, 513, 513, 515, 515, 516, 516, 516, 518, 518, 519, 519, 519, 519, 521, 522, 522, 522, 523, 524, 525, 525, 526, 526, 527, 528, 528, 528, 530, 530, 531, 531, 531, 532, 532, 532, 532, 533, 534, 534, 536, 536, 537, 537, 537, 539, 539, 539, 540, 540, 541, 542, 542, 542, 543, 544, 545, 545, 545, 546, 546, 547, 547, 549, 549, 549, 550, 550, 553, 553, 555, 555, 556, 557, 557, 558, 561, 561, 561, 561, 562, 562, 562, 563, 563, 563, 563, 563, 564, 565, 565, 566, 566, 566, 566, 566, 567, 567, 568, 569, 570, 570, 570, 570, 571, 572, 572, 573, 573, 574, 574, 575, 575, 575, 576, 577, 577, 578, 578, 578, 579, 579, 582, 582, 582, 582, 583, 585, 587, 587, 588, 588, 589, 589, 590, 592, 592, 592, 592, 593, 594, 595, 597, 598, 599, 599, 599, 600, 602, 602, 603, 603, 603, 603, 603, 604, 604, 604, 604, 605, 606, 607, 607, 607, 608, 608, 609, 609, 609, 611, 613, 613, 613, 615, 615, 615, 615, 615, 617, 617, 618, 619, 619, 619, 620, 621, 621, 622, 622, 622, 623, 623, 624, 625, 625, 625, 626, 626, 626, 627, 627, 628, 628, 630, 630, 630, 632, 632, 634, 634, 635, 636, 636, 637, 637, 638, 638, 639, 639, 640, 640, 642, 642, 645, 645, 646, 646, 649, 651, 652, 653, 655, 655, 657, 658, 658, 659, 659, 662, 662, 666, 667, 668, 668, 668, 669, 669, 671, 672, 672, 672, 673, 673, 673, 674, 674, 674, 674, 675, 675, 675, 678, 679, 679, 679, 680, 680, 680, 680, 681, 681, 682, 683, 684, 684, 686, 686, 688, 688, 689, 689, 690, 690, 690, 691, 692, 693, 694, 694, 694, 695, 695, 695, 696, 696, 697, 697, 701, 702, 702, 703, 705, 706, 706, 707, 708, 710, 711, 711, 711, 714, 714, 714, 714, 714, 715, 716, 718, 719, 719, 722, 723, 724, 724, 724, 725, 726, 727, 727, 727, 728, 729, 729, 731, 732, 732, 733, 733, 733, 733, 733, 733, 734, 734, 734, 734, 735, 735, 736, 736, 736, 736, 737, 738, 738, 740, 742, 742, 742, 743, 744, 745, 746, 746, 748, 749, 751, 751, 751, 753, 754, 754, 754, 754, 755, 756, 756, 757, 757, 757, 758, 760, 761, 761, 761, 762, 762, 762, 763, 764, 764, 765, 766, 766, 767, 768, 768, 768, 770, 770, 771, 771, 773, 773, 775, 776, 776, 776, 777, 778, 779, 779, 780, 781, 781, 781, 782, 782, 783, 784, 786, 787, 787, 788, 788, 788, 790, 790, 790, 791, 791, 792, 793, 793, 794, 794, 794, 794, 796, 797, 797, 798, 799, 799, 799, 800, 801, 801, 801, 801, 802, 802, 803, 803, 804, 804, 805, 805, 806, 806, 806, 807, 807, 808, 808, 808, 809, 810, 810, 811, 811, 812, 812, 815, 816, 817, 818, 821, 822, 822, 823, 823, 823, 824, 825, 827, 827, 828, 828, 829, 829, 830, 830, 830, 831, 832, 835, 837, 837, 838, 838, 841, 841, 842, 843, 843, 843, 844, 844, 844, 844, 846, 846, 847, 847, 847, 849, 849, 850, 850, 850, 852, 852, 853, 853, 856, 856, 858, 859, 861, 861, 866, 866, 866, 867, 867, 868, 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23263, 23263, 23263, 23265, 23266, 23267, 23268, 23268, 23269, 23270, 23270, 23271, 23272, 23273, 23274, 23274, 23275, 23275, 23277, 23277, 23277, 23277, 23278, 23278, 23278, 23279, 23279, 23279, 23279, 23279, 23281, 23281, 23283, 23283, 23284, 23284, 23284, 23285, 23286, 23286, 23288, 23288, 23288, 23289, 23289, 23290, 23290, 23290, 23290, 23290, 23290, 23291, 23292, 23292, 23293, 23294, 23295, 23295, 23296, 23296, 23296, 23297, 23297, 23298, 23299, 23300, 23301, 23301, 23301, 23301, 23303, 23303, 23303, 23303, 23304, 23304, 23304, 23305, 23305, 23307, 23308, 23308, 23308, 23309, 23310, 23310, 23310, 23311, 23312, 23312, 23313, 23314, 23314, 23314, 23314, 23314, 23315, 23316, 23316, 23316, 23316, 23316, 23317, 23317, 23318, 23319, 23320, 23321, 23321, 23322, 23322, 23322, 23323, 23325, 23325, 23326, 23326, 23326, 23326, 23326, 23327, 23327, 23328, 23329, 23330, 23330, 23331, 23331, 23332, 23332, 23333, 23333, 23334, 23334, 23335, 23335, 23336, 23336, 23336, 23336, 23336, 23336, 23337, 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35314, 35314, 35314, 35315, 35319, 35320, 35321, 35321, 35324, 35326, 35327, 35327, 35329, 35329, 35329, 35329, 35329, 35330, 35331, 35332, 35333, 35334, 35334, 35334, 35334, 35335, 35336, 35336, 35337, 35340, 35342, 35342, 35343, 35343, 35344, 35344, 35345, 35345, 35345, 35345, 35346, 35346, 35346, 35347, 35349, 35349, 35349, 35351, 35351, 35351, 35352, 35353, 35353, 35354, 35355, 35355, 35355, 35356, 35357, 35358, 35359, 35360, 35360, 35360, 35361, 35361, 35362, 35363, 35363, 35364, 35364, 35365, 35365, 35366, 35366, 35367, 35368, 35368, 35368, 35368, 35370, 35370, 35371, 35372, 35373, 35375, 35375, 35375, 35376, 35376, 35379, 35379, 35380, 35380, 35380, 35380, 35381, 35381, 35382, 35382, 35383, 35384, 35384, 35385, 35385, 35385, 35385, 35385, 35386, 35386, 35386, 35388, 35388, 35388, 35388, 35388, 35389, 35390, 35390, 35391, 35391, 35391, 35392, 35393, 35393, 35394, 35394, 35395, 35395, 35395, 35397, 35397, 35397, 35397, 35398, 35401, 35401, 35401, 35402, 35403, 35403, 35403, 35403, 35403, 35404, 35404, 35404, 35406, 35406, 35406, 35407, 35407, 35408, 35408, 35408, 35409, 35410, 35411, 35411, 35412, 35413, 35413, 35413, 35413, 35415, 35417, 35418, 35418, 35419, 35419, 35419, 35419, 35420, 35420, 35420, 35421, 35421, 35422, 35422, 35423, 35423, 35424, 35425, 35425, 35425, 35425, 35426, 35427, 35428, 35428, 35428, 35428, 35428, 35429, 35429, 35429, 35430, 35430, 35430, 35430, 35431, 35432, 35433, 35433, 35434, 35437, 35439, 35440, 35441, 35441, 35442, 35443, 35443, 35445, 35445, 35445, 35446, 35447, 35447, 35448, 35448, 35448, 35449, 35449, 35450, 35450, 35452, 35453, 35453, 35454, 35454, 35455, 35455, 35456, 35456, 35456, 35457, 35458, 35458, 35458, 35458, 35458, 35459, 35459, 35459, 35459, 35460, 35460, 35461, 35463, 35464, 35465, 35465, 35465, 35466, 35466, 35467, 35467, 35467, 35468, 35469, 35469, 35471, 35471, 35471, 35473, 35474, 35474, 35476, 35477, 35477, 35478, 35479, 35480, 35480, 35480, 35481, 35481, 35482, 35483, 35483, 35483, 35484, 35486, 35486, 35487, 35487, 35489, 35490, 35492, 35493, 35493, 35493, 35494, 35494, 35494, 35495, 35496, 35497, 35497, 35498, 35498, 35499, 35500, 35500, 35501, 35502, 35503, 35503, 35503, 35504, 35505, 35505, 35506, 35506, 35507, 35507, 35508, 35509, 35511, 35511, 35511, 35511, 35512, 35512, 35513, 35513, 35515, 35515, 35516, 35516, 35516, 35517, 35518, 35518, 35518, 35519, 35520, 35521, 35524, 35524, 35525, 35526, 35526, 35527, 35527, 35527, 35527, 35528, 35528, 35529, 35530, 35530, 35531, 35531, 35531, 35533, 35533, 35535, 35536, 35536, 35538, 35538, 35539, 35541, 35542, 35542, 35543, 35543, 35543, 35544, 35547, 35547, 35548, 35549, 35549, 35550, 35550, 35551, 35552, 35552, 35552, 35553, 35553, 35554, 35555, 35555, 35556, 35556, 35557, 35557, 35559, 35559, 35560, 35562, 35562, 35562, 35563, 35563, 35563, 35563, 35564, 35564, 35564, 35564, 35565, 35565, 35566, 35570, 35572, 35572, 35572, 35574, 35574, 35575, 35575, 35575, 35575, 35575, 35576, 35577, 35577, 35578, 35580, 35581, 35581, 35583, 35585, 35585, 35588, 35589, 35590, 35591, 35591, 35591, 35592, 35592, 35593, 35594, 35594, 35594, 35594, 35594, 35595, 35595, 35595, 35595, 35596, 35596, 35596, 35597, 35600, 35601, 35601, 35601, 35602, 35602, 35603, 35603, 35603, 35604, 35604, 35605, 35605, 35607, 35608, 35608, 35608, 35608, 35609, 35610, 35611, 35612, 35612, 35613, 35614, 35615, 35615, 35616, 35617, 35618, 35618, 35618, 35618, 35618, 35618, 35619, 35619, 35619, 35620, 35620, 35621, 35621, 35621, 35622, 35624, 35625, 35625, 35626, 35626, 35626, 35626, 35626, 35627, 35627, 35628, 35630, 35630, 35631, 35632, 35634, 35634, 35634, 35635, 35635, 35636, 35636, 35636, 35637, 35637, 35637, 35637, 35638, 35638, 35639, 35639, 35639, 35640, 35640, 35640, 35641, 35643, 35644, 35645, 35646, 35646, 35646, 35648, 35649, 35650, 35650, 35650, 35651, 35651, 35651, 35651, 35652, 35652, 35653, 35653, 35653, 35654, 35654, 35654, 35654, 35654, 35655, 35655, 35655, 35656, 35657, 35657, 35657, 35658, 35660, 35660, 35661, 35661, 35662, 35663, 35663, 35663, 35664, 35666, 35667, 35667, 35668, 35669, 35670, 35671, 35671, 35672, 35672, 35673, 35674, 35674, 35675, 35676, 35676, 35677, 35677, 35678, 35678, 35679, 35679, 35679, 35680, 35680, 35681, 35682, 35682, 35682, 35683, 35683, 35684, 35684, 35684, 35685, 35686, 35687, 35688, 35689, 35689, 35689, 35690, 35690, 35691, 35691, 35692, 35692, 35692, 35693, 35693, 35693, 35694, 35696, 35696, 35696, 35698, 35698, 35699, 35699, 35700, 35700, 35702, 35702, 35702, 35702, 35702, 35704, 35705, 35705, 35708, 35708, 35709, 35709, 35710, 35710, 35710, 35711, 35712, 35712, 35713, 35713, 35713, 35714, 35715, 35715, 35715, 35715, 35716, 35716, 35718, 35719, 35719, 35719, 35719, 35719, 35721, 35721, 35721, 35722, 35723, 35724, 35724, 35726, 35726, 35727, 35727, 35727, 35727, 35727, 35728, 35729, 35729, 35730, 35730, 35730, 35731, 35731, 35731, 35731, 35732, 35733, 35734, 35734, 35735, 35735, 35735, 35736, 35736, 35739, 35739, 35740, 35740, 35740, 35741, 35742, 35744, 35744, 35745, 35747, 35748, 35748, 35748, 35749, 35749, 35750, 35752, 35753, 35753, 35754, 35755, 35756, 35759, 35759, 35759, 35760, 35762, 35763, 35763, 35764, 35766, 35766, 35768, 35768, 35768, 35769, 35769, 35770, 35771, 35771, 35771, 35772, 35773, 35773, 35773, 35774, 35775, 35775, 35775, 35777, 35778, 35779, 35780, 35780, 35781, 35781, 35781, 35781, 35781, 35781, 35782, 35783, 35783, 35783, 35785, 35785, 35785, 35786, 35786, 35786, 35788, 35790, 35790, 35790, 35792, 35792, 35793, 35794, 35794, 35795, 35795, 35795, 35795, 35795, 35796, 35796, 35796, 35797, 35797, 35797, 35798, 35798, 35798, 35799, 35799, 35800, 35800, 35800, 35801, 35801, 35803, 35804, 35805, 35805, 35807, 35809, 35809, 35810, 35810, 35810, 35811, 35811, 35811, 35812, 35814, 35814, 35816, 35816, 35817, 35817, 35817, 35817, 35818, 35818, 35818, 35819, 35819, 35819, 35820, 35820, 35821, 35821, 35822, 35822, 35823, 35823, 35825, 35825, 35826, 35826, 35827, 35828, 35829, 35829, 35831, 35831, 35831, 35831, 35831, 35833, 35833, 35834, 35834, 35835, 35835, 35836, 35836, 35836, 35837, 35839, 35839, 35839, 35840, 35841, 35841, 35842, 35842, 35842, 35842, 35842, 35843, 35843, 35843, 35843, 35844, 35844, 35845, 35845, 35845, 35845, 35845, 35845, 35845, 35845, 35845, 35846, 35846, 35846, 35846, 35847, 35847, 35848, 35848, 35849, 35850, 35851, 35852, 35852, 35852, 35854, 35854, 35855, 35855, 35856, 35857, 35858, 35859, 35859, 35859, 35859, 35860, 35862, 35863, 35863, 35865, 35865, 35865, 35868, 35868, 35868, 35868, 35868, 35868, 35869, 35869, 35869, 35869, 35870, 35870, 35872, 35874, 35876, 35877, 35877, 35877, 35878, 35879, 35879, 35880, 35881, 35881, 35882, 35883, 35883, 35884, 35885, 35885, 35886, 35887, 35887, 35888, 35888, 35888, 35889, 35889, 35890, 35890, 35891, 35892, 35892, 35893, 35893, 35894, 35894, 35896, 35896, 35898, 35898, 35898, 35899, 35899, 35899, 35900, 35901, 35902, 35902, 35903, 35903, 35903, 35905, 35905, 35906, 35907, 35907, 35910, 35911, 35912, 35913, 35914, 35914, 35914, 35916, 35916, 35917, 35918, 35919, 35920, 35921, 35921, 35921, 35922, 35925, 35925, 35925, 35925, 35925, 35926, 35928, 35928, 35928, 35931, 35932, 35932, 35933, 35933, 35934, 35934, 35934, 35936, 35938, 35938, 35939, 35939, 35940, 35941, 35942, 35942, 35943, 35943, 35944, 35944, 35945, 35945, 35946, 35947, 35948, 35948, 35949, 35949, 35949, 35950, 35951, 35952, 35952, 35953, 35953, 35954, 35954, 35955, 35955, 35957, 35957, 35957, 35957, 35957, 35958, 35960, 35960, 35962, 35963, 35963, 35964, 35964, 35964, 35967, 35967, 35969, 35969, 35970, 35971, 35972, 35972, 35973, 35973, 35973, 35974, 35975, 35975, 35975, 35977, 35978, 35978, 35978, 35978, 35979, 35979, 35979, 35979, 35980, 35980, 35981, 35981, 35982, 35983, 35984, 35984, 35985, 35985, 35985, 35987, 35987, 35987, 35987, 35989, 35989, 35990, 35991, 35991, 35992, 35993, 35994, 35994, 35994, 35996, 35996, 35997, 35999, 36000, 36000, 36000, 36000, 36000, 36002, 36003, 36003, 36004, 36004, 36005, 36005, 36006, 36006, 36007, 36007, 36008, 36008, 36008, 36010, 36010, 36010, 36011, 36012, 36012, 36012, 36013, 36013, 36014, 36014, 36015, 36015, 36016, 36018, 36020, 36021, 36021, 36021, 36022, 36023, 36023, 36024, 36024, 36025, 36026, 36027, 36028, 36028, 36029, 36030, 36031, 36031, 36031, 36033, 36033, 36035, 36037, 36038, 36038, 36038, 36040, 36040, 36040, 36042, 36042, 36043, 36043, 36044, 36045, 36045, 36045, 36046, 36046, 36046, 36047, 36047, 36047, 36048, 36048, 36048, 36048, 36048, 36050, 36051, 36051, 36052, 36052, 36055, 36056, 36056, 36057, 36059, 36059, 36059, 36060, 36061, 36061, 36062, 36062, 36062, 36063, 36067, 36068, 36068, 36071, 36074, 36074, 36074, 36077, 36077, 36077, 36079, 36079, 36080, 36080, 36081, 36081, 36081, 36082, 36083, 36083, 36084, 36085, 36085, 36085, 36086, 36086, 36086, 36087, 36087, 36087, 36088, 36089, 36089, 36090, 36091, 36092, 36092, 36093, 36094, 36094, 36094, 36094, 36095, 36095, 36096, 36097, 36097, 36097, 36099, 36100, 36100, 36100, 36100, 36101, 36101, 36101, 36102, 36103, 36103, 36104, 36105, 36106, 36107, 36108, 36108, 36109, 36110, 36110, 36112, 36112, 36113, 36115, 36115, 36116, 36117, 36117, 36120, 36120, 36120, 36121, 36121, 36121, 36121, 36123, 36123, 36124, 36125, 36126, 36127, 36127, 36127, 36128, 36130, 36131, 36131, 36131, 36132, 36133, 36133, 36134, 36134, 36135, 36135, 36135, 36136, 36137, 36137, 36138, 36138, 36139, 36139, 36139, 36141, 36141, 36142, 36142, 36143, 36144, 36145, 36146, 36147, 36148, 36149, 36149, 36149, 36150, 36151, 36152, 36152, 36152, 36153, 36153, 36153, 36158, 36158, 36158, 36158, 36159, 36159, 36162, 36163, 36164, 36164, 36165, 36166, 36167, 36168, 36168, 36168, 36169, 36169, 36170, 36170, 36172, 36174, 36175, 36175, 36175, 36176, 36178, 36178, 36179, 36180, 36181, 36181, 36183, 36183, 36183, 36184, 36185, 36185, 36185, 36185, 36187, 36188, 36188, 36191, 36192, 36192, 36193, 36194, 36194, 36194, 36194, 36195, 36196, 36197, 36198, 36198, 36200, 36201, 36201, 36202, 36203, 36203, 36203, 36204, 36204, 36204, 36206, 36206, 36208, 36208, 36209, 36209, 36209, 36210, 36212, 36212, 36213, 36213, 36214, 36215, 36215, 36217, 36218, 36218, 36218, 36219, 36220, 36221, 36221, 36221, 36221, 36221, 36221, 36221, 36221, 36222, 36222, 36222, 36222, 36224, 36225, 36225, 36226, 36228, 36228, 36229, 36231, 36232, 36233, 36234, 36234, 36235, 36235, 36235, 36235, 36235, 36236, 36237, 36237, 36237, 36237, 36238, 36238, 36238, 36239, 36240, 36241, 36242, 36242, 36243, 36243, 36244, 36244, 36244, 36245, 36245, 36246, 36246, 36247, 36247, 36247, 36247, 36248, 36250, 36250, 36251, 36251, 36251, 36253, 36254, 36254, 36255, 36255, 36255, 36255, 36255, 36256, 36257, 36257, 36258, 36258, 36260, 36260, 36262, 36263, 36263, 36265, 36265, 36266, 36266, 36267, 36268, 36268, 36268, 36268, 36269, 36269, 36270, 36270, 36271, 36271, 36272, 36274, 36274, 36276, 36277, 36278, 36279, 36279, 36280, 36280, 36281, 36281, 36282, 36282, 36284, 36284, 36285, 36285, 36285, 36286, 36289, 36289, 36289, 36290, 36291, 36292, 36292, 36292, 36293, 36293, 36294, 36296, 36296, 36297, 36298, 36298, 36299, 36299, 36299, 36300, 36300, 36300, 36301, 36301, 36303, 36303, 36303, 36303, 36304, 36304, 36305, 36307, 36307, 36307, 36308, 36309, 36309, 36310, 36310, 36311, 36312, 36312, 36312, 36312, 36314, 36316, 36317, 36317, 36317, 36318, 36318, 36319, 36319, 36320, 36320, 36320, 36321, 36324, 36324, 36324, 36325, 36325, 36325, 36326, 36326, 36327, 36327, 36328, 36328, 36329, 36330, 36330, 36330, 36331, 36331, 36331, 36331, 36331, 36332, 36332, 36332, 36332, 36333, 36333, 36334, 36334, 36335, 36336, 36337, 36337, 36337, 36338, 36339, 36341, 36341, 36343, 36344, 36345, 36345, 36346, 36347, 36347, 36347, 36348, 36349, 36349, 36350, 36350, 36351, 36351, 36352, 36353, 36355, 36356, 36356, 36357, 36358, 36359, 36360, 36360, 36360, 36361, 36363, 36363, 36367, 36367, 36367, 36367, 36367, 36367, 36367, 36368, 36368, 36371, 36372, 36372, 36374, 36374, 36374, 36375, 36376, 36377, 36378, 36378, 36378, 36380, 36380, 36380, 36380, 36382, 36383, 36383, 36384, 36386, 36386, 36388, 36389, 36390, 36390, 36392, 36392, 36392, 36395, 36395, 36395, 36396, 36396, 36398, 36398, 36399, 36399, 36399, 36399, 36402, 36402, 36402, 36403, 36404, 36405, 36405, 36405, 36406, 36406, 36406, 36407, 36407, 36408, 36408, 36408, 36409, 36409, 36410, 36413, 36413, 36415, 36416, 36416, 36417, 36418, 36418, 36419, 36419, 36420, 36420, 36422, 36423, 36424, 36424, 36425, 36426, 36426, 36427, 36427, 36427, 36427, 36428, 36428, 36430, 36432, 36433, 36436, 36437, 36437, 36438, 36438, 36438, 36440, 36442, 36442, 36444, 36444, 36445, 36445, 36445, 36445, 36445, 36445, 36446, 36447, 36448, 36448, 36448, 36450, 36450, 36451, 36452, 36452, 36453, 36454, 36454, 36455, 36455, 36455, 36455, 36456, 36458, 36458, 36459, 36459, 36461, 36461, 36462, 36463, 36463, 36465, 36466, 36466, 36466, 36467, 36468, 36468, 36469, 36469, 36470, 36471, 36472, 36472, 36473, 36473, 36474, 36476, 36478, 36478, 36478, 36478, 36480, 36480, 36480, 36480, 36480, 36481, 36482, 36482, 36483, 36484, 36485, 36486, 36486, 36489, 36490, 36491, 36491, 36492, 36493, 36493, 36493, 36494, 36494, 36494, 36495, 36495, 36496, 36496, 36496, 36500, 36501, 36501, 36501, 36502, 36502, 36503, 36503, 36504, 36504, 36504, 36505, 36505, 36506, 36506, 36506, 36507, 36508, 36508, 36509, 36510, 36510, 36510, 36510, 36511, 36511, 36511, 36512, 36512, 36513, 36513, 36514, 36514, 36514, 36515, 36515, 36516, 36516, 36518, 36518, 36520, 36520, 36520, 36521, 36521, 36521, 36523, 36524, 36524, 36525, 36525, 36526, 36526, 36527, 36528, 36528, 36529, 36531, 36532, 36532, 36533, 36534, 36534, 36534, 36534, 36534, 36534, 36535, 36535, 36535, 36536, 36536, 36539, 36539, 36540, 36540, 36540, 36541, 36542, 36542, 36542, 36543, 36543, 36546, 36547, 36547, 36549, 36550, 36550, 36550, 36551, 36552, 36555, 36555, 36557, 36557, 36558, 36559, 36559, 36560, 36560, 36561, 36561, 36561, 36561, 36561, 36562, 36564, 36564, 36564, 36565, 36565, 36566, 36566, 36567, 36567, 36568, 36569, 36570, 36571, 36571, 36571, 36572, 36572, 36573, 36574, 36575, 36576, 36576, 36577, 36577, 36577, 36577, 36577, 36579, 36579, 36579, 36580, 36580, 36580, 36581, 36581, 36581, 36584, 36585, 36586, 36586, 36586, 36587, 36587, 36587, 36588, 36588, 36589, 36590, 36590, 36591, 36592, 36592, 36595, 36595, 36595, 36595, 36596, 36596, 36596, 36597, 36597, 36599, 36599, 36600, 36600, 36601, 36602, 36603, 36603, 36603, 36604, 36606, 36606, 36608, 36610, 36611, 36611, 36612, 36612, 36613, 36614, 36614, 36614, 36614, 36614, 36615, 36615, 36616, 36616, 36616, 36616, 36617, 36617, 36619, 36619, 36619, 36620, 36621, 36621, 36621, 36621, 36622, 36622, 36623, 36623, 36625, 36625, 36625, 36625, 36626, 36626, 36627, 36627, 36627, 36628, 36629, 36630, 36630, 36630, 36631, 36631, 36632, 36632, 36632, 36632, 36633, 36633, 36634, 36635, 36636, 36636, 36638, 36638, 36638, 36639, 36642, 36643, 36643, 36643, 36644, 36644, 36644, 36645, 36645, 36645, 36646, 36646, 36647, 36648, 36649, 36649, 36649, 36649, 36649, 36649, 36650, 36650, 36651, 36651, 36651),36652), 0) + } + + test("test8") { + assertEquals(Main.minimumAddedCoins(List(1, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 7, 7, 7, 9, 10, 10, 11, 12, 13, 14, 14, 19, 20, 20, 20, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 27, 28, 28, 28, 30, 31, 32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 36, 39, 39, 40, 40, 41, 41, 41, 42, 42, 45, 45, 46, 47, 48, 48, 49, 51, 51, 52, 52, 52, 53, 53, 54, 55, 55, 55, 56, 56, 57, 57, 58, 59, 60, 60, 61, 61, 61, 61, 64, 64, 65, 65, 66, 66, 66, 67, 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 69, 70, 71, 71, 72, 73, 73, 73, 73, 74, 75, 75, 76, 76, 77, 78, 79, 80, 80, 80, 82, 82, 82, 84, 86, 86, 86, 87, 87, 87, 88, 88, 88, 88, 89, 89, 89, 89, 89, 90, 90, 91, 91, 92, 93, 93, 93, 93, 94, 95, 95, 96, 97, 98, 98, 98, 99, 100, 100, 100, 103, 104, 105, 106, 107, 107, 108, 108, 111, 111, 111, 111, 112, 112, 112, 113, 113, 113, 113, 114, 115, 115, 115, 116, 116, 117, 117, 117, 117, 117, 118, 118, 121, 122, 122, 122, 122, 123, 123, 123, 123, 123, 125, 125, 125, 127, 127, 128, 129, 130, 131, 131, 131, 132, 133, 135, 138, 138, 138, 139, 139, 139, 140, 141, 143, 143, 144, 144, 144, 145, 147, 147, 148, 148, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, 154, 154, 157, 157, 157, 158, 158, 159, 159, 160, 160, 160, 161, 161, 162, 162, 164, 164, 164, 166, 166, 167, 167, 168, 168, 168, 168, 169, 169, 170, 170, 171, 171, 171, 172, 172, 172, 172, 173, 173, 173, 173, 176, 176, 176, 177, 177, 177, 177, 178, 178, 178, 179, 179, 180, 180, 180, 181, 181, 181, 181, 182, 182, 184, 185, 186, 187, 187, 187, 187, 188, 190, 191, 191, 191, 191, 192, 193, 194, 194, 195, 195, 195, 196, 196, 197, 197, 197, 197, 198, 199, 200, 201, 202, 202, 202, 205, 205, 205, 206, 206, 206, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 213, 213, 213, 213, 213, 213, 213, 213, 216, 216, 216, 217, 217, 217, 218, 220, 221, 222, 222, 222, 223, 224, 224, 225, 226, 226, 227, 228, 228, 230, 230, 230, 231, 231, 231, 233, 234, 234, 234, 234, 235, 235, 236, 236, 236, 236, 238, 238, 239, 239, 241, 241, 242, 242, 245, 245, 245, 246, 247, 248, 249, 249, 250, 250, 251, 251, 251, 251, 252, 252, 252, 253, 254, 256, 256, 257, 257, 258, 258, 258, 258, 259, 260, 261, 262, 263, 263, 263, 263, 264, 264, 266, 266, 266, 267, 267, 268, 268, 268, 269, 269, 271, 271, 275, 275, 275, 275, 275, 276, 277, 277, 277, 277, 277, 277, 278, 278, 279, 279, 280, 280, 280, 281, 281, 281, 281, 282, 282, 282, 282, 282, 283, 283, 284, 285, 285, 285, 285, 287, 287, 288, 290, 290, 290, 291, 292, 292, 293, 294, 294, 295, 296, 297, 297, 297, 297, 297, 299, 299, 299, 300, 300, 300, 300, 300, 301, 302, 302, 304, 304, 305, 305, 305, 305, 306, 306, 307, 307, 307, 308, 308, 309, 309, 309, 310, 310, 311, 311, 311, 312, 314, 314, 314, 314, 314, 315, 316, 316, 316, 317, 318, 319, 321, 322, 322, 322, 322, 323, 323, 323, 324, 326, 326, 326, 327, 327, 328, 328, 328, 329, 329, 331, 333, 333, 334, 334, 335, 336, 336, 336, 337, 338, 339, 339, 339, 341, 341, 341, 341, 342, 342, 342, 343, 343, 344, 344, 345, 345, 345, 345, 345, 346, 346, 346, 346, 347, 347, 347, 347, 348, 349, 349, 349, 350, 351, 352, 352, 353, 354, 354, 355, 356, 356, 356, 357, 359, 360, 363, 364, 365, 365, 365, 365, 366, 367, 368, 368, 368, 368, 368, 368, 368, 369, 369, 370, 372, 373, 373, 373, 375, 376, 376, 377, 380, 381, 382, 382, 382, 383, 386, 386, 386, 386, 387, 387, 387, 388, 389, 389, 390, 390, 390, 390, 391, 393, 393, 393, 394, 394, 395, 396, 397, 398, 400, 401, 401, 402, 402, 402, 402, 404, 404, 405, 406, 406, 407, 408, 409, 410, 411, 411, 412, 412, 413, 413, 414, 415, 417, 417, 417, 419, 420, 420, 421, 421, 421, 422, 422, 423, 423, 423, 423, 426, 427, 428, 428, 429, 429, 430, 431, 432, 433, 433, 434, 434, 434, 434, 435, 437, 437, 439, 439, 441, 441, 442, 442, 443, 443, 444, 445, 445, 446, 448, 450, 451, 451, 452, 452, 454, 454, 455, 457, 458, 459, 460, 462, 462, 464, 464, 464, 464, 465, 466, 467, 468, 468, 468, 469, 469, 469, 469, 470, 470, 471, 472, 473, 474, 474, 475, 475, 475, 475, 477, 478, 479, 479, 480, 481, 481, 482, 483, 483, 484, 484, 484, 485, 486, 487, 487, 488, 488, 489, 489, 489, 490, 491, 492, 493, 493, 494, 495, 495, 495, 496, 497, 497, 497, 497, 498, 499, 499, 499, 501, 502, 502, 503, 503, 504, 504, 504, 505, 505, 506, 506, 506, 507, 508, 508, 509, 510, 512, 512, 512, 512, 513, 514, 514, 517, 518, 518, 520, 521, 521, 521, 521, 522, 522, 523, 524, 524, 524, 525, 525, 525, 526, 526, 526, 527, 527, 527, 528, 528, 529, 530, 530, 531, 531, 532, 533, 533, 533, 534, 536, 536, 536, 536, 537, 538, 539, 539, 540, 540, 540, 541, 542, 544, 545, 545, 546, 547, 547, 548, 548, 548, 550, 551, 551, 551, 552, 553, 553, 554, 554, 554, 555, 555, 555, 555, 556, 557, 557, 558, 560, 560, 560, 561, 561, 561, 561, 563, 563, 564, 564, 564, 564, 564, 565, 566, 568, 568, 571, 571, 571, 572, 572, 573, 573, 573, 576, 576, 578, 579, 580, 581, 582, 583, 584, 584, 585, 586, 587, 587, 587, 588, 588, 590, 590, 591, 591, 591, 591, 591, 591, 593, 593, 594, 594, 594, 597, 597, 598, 599, 599, 599, 599, 600, 600, 601, 601, 602, 603, 603, 604, 605, 606, 606, 606, 607, 607, 608, 608, 608, 608, 608, 609, 609, 609, 610, 611, 611, 612, 613, 613, 615, 615, 615, 616, 616, 616, 617, 617, 618, 618, 618, 618, 619, 619, 619, 620, 620, 620, 622, 623, 623, 624, 625, 625, 626, 626, 626, 626, 626, 627, 629, 629, 630, 630, 630, 631, 631, 631, 631, 631, 632, 633, 633, 634, 634, 634, 634, 635, 635, 635, 635, 635, 635, 636, 637, 637, 638, 638, 639, 640, 640, 641, 641, 642, 642, 642, 642, 642, 643, 643, 643, 643, 644, 644, 645, 646, 646, 647, 647, 647, 647, 647, 647, 648, 648, 650, 651, 651, 651, 651, 651, 651, 651, 652, 653, 653, 654, 655, 656, 656, 657, 658, 659, 659, 659, 660, 660, 660, 660, 661, 661, 661, 662, 662, 662, 662, 663, 664, 664, 665, 665, 666, 666, 666, 667, 667, 669, 670, 670, 671, 671, 671, 671, 673, 674, 674, 674, 674, 674, 674, 675, 675, 676, 677, 677, 677, 678, 678, 678, 678, 679, 679, 682, 682, 682, 683, 684, 684, 685, 685, 687, 688, 688, 688, 689, 689, 690, 691, 691, 692, 692, 692, 692, 693, 693, 693, 693, 695, 695, 696, 696, 696, 696, 696, 696, 697, 697, 698, 698, 699, 700, 700, 701, 702, 702, 702, 703, 704, 704, 709, 709, 709, 710, 710, 713, 713, 714, 714, 714, 715, 715, 715, 716, 717, 717, 717, 718, 718, 721, 721, 721, 721, 721, 722, 722, 722, 722, 722, 723, 723, 723, 724, 724, 725, 726, 726, 727, 727, 728, 730, 731, 731, 731, 734, 734, 734, 734, 736, 736, 738, 738, 739, 739, 739, 740, 741, 741, 742, 743, 743, 745, 745, 745, 745, 745, 746, 748, 750, 750, 751, 752, 753, 754, 755, 756, 756, 756, 756, 757, 757, 758, 758, 759, 761, 761, 761, 762, 763, 763, 763, 763, 764, 765, 768, 768, 769, 769, 770, 770, 771, 772, 772, 772, 773, 773, 774, 774, 775, 775, 776, 776, 776, 778, 778, 778, 779, 779, 780, 781, 781, 781, 782, 783, 783, 784, 784, 785, 785, 785, 786, 787, 788, 790, 790, 790, 790, 792, 793, 793, 794, 794, 794, 794, 795, 796, 797, 797, 798, 798, 798, 798, 798, 799, 799, 799, 799, 802, 802, 805, 805, 805, 805, 806, 806, 806, 806, 807, 807, 807, 807, 809, 810, 810, 812, 813, 815, 815, 816, 816, 817, 817, 817, 818, 818, 819, 819, 821, 822, 822, 823, 823, 824, 824, 824, 824, 825, 825, 826, 826, 827, 827, 827, 829, 829, 830, 830, 830, 831, 831, 833, 833, 834, 834, 834, 835, 836, 836, 837, 837, 839, 840, 840, 843, 843, 843, 843, 844, 844, 845, 846, 848, 849, 849, 849, 850, 850, 850, 853, 853, 853, 853, 853, 854, 854, 854, 854, 855, 856, 856, 856, 857, 858, 858, 859, 859, 859, 860, 862, 862, 863, 866, 867, 867, 867, 869, 869, 873, 873, 873, 874, 875, 875, 876, 877, 877, 877, 878, 878, 878, 879, 879, 880, 880, 881, 882, 882, 883, 885, 886, 886, 887, 889, 889, 891, 891, 892, 893, 893, 893, 894, 894, 894, 895, 895, 895, 896, 898, 899, 899, 899, 899, 900, 903, 903, 904, 904, 905, 906, 906, 906, 906, 907, 907, 907, 907, 908, 909, 912, 912, 913, 913, 914, 914, 915, 915, 915, 916, 917, 917, 917, 917, 917, 917, 918, 918, 918, 919, 919, 919, 920, 920, 920, 921, 921, 923, 925, 925, 925, 925, 926, 926, 927, 929, 929, 929, 930, 931, 931, 931, 931, 931, 933, 933, 934, 934, 935, 935, 936, 936, 936, 936, 936, 936, 937, 938, 939, 940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943, 943, 944, 944, 945, 946, 946, 947, 949, 949, 950, 950, 951, 952, 953, 953, 954, 955, 955, 956, 956, 958, 958, 958, 959, 959, 960, 961, 961, 961, 962, 963, 963, 965, 965, 966, 966, 966, 966, 968, 968, 969, 970, 970, 971, 971, 971, 972, 972, 973, 973, 975, 976, 977, 977, 978, 978, 979, 979, 980, 980, 981, 981, 982, 982, 982, 982, 983, 983, 984, 984, 984, 985, 986, 986, 986, 986, 986, 987, 987, 987, 988, 989, 990, 990, 990, 990, 991, 991, 993, 993, 994, 995, 996, 996, 996, 997, 997, 998, 998, 999, 999, 999, 999, 999, 1000, 1001, 1001, 1001, 1003, 1004, 1007, 1007, 1007, 1008, 1008, 1009, 1009, 1010, 1010, 1010, 1010, 1010, 1011, 1012, 1013, 1014, 1016, 1016, 1016, 1016, 1018, 1018, 1021, 1024, 1024, 1025, 1025, 1025, 1025, 1026, 1027, 1027, 1027, 1029, 1030, 1031, 1031, 1032, 1032, 1032, 1033, 1033, 1033, 1034, 1034, 1034, 1035, 1036, 1037, 1037, 1037, 1038, 1038, 1038, 1040, 1040, 1041, 1041, 1042, 1043, 1043, 1045, 1045, 1045, 1045, 1045, 1045, 1046, 1046, 1046, 1046, 1047, 1047, 1048, 1048, 1049, 1050, 1050, 1050, 1051, 1052, 1052, 1052, 1053, 1053, 1054, 1054, 1055, 1055, 1055, 1056, 1056, 1057, 1058, 1058, 1061, 1062, 1062, 1063, 1063, 1063, 1064, 1064, 1065, 1066, 1066, 1067, 1067, 1068, 1068, 1068, 1069, 1070, 1070, 1071, 1071, 1071, 1071, 1072, 1073, 1075, 1076, 1079, 1080, 1080, 1082, 1082, 1082, 1082, 1083, 1083, 1083, 1084, 1084, 1086, 1086, 1086, 1086, 1088, 1088, 1089, 1089, 1089, 1090, 1092, 1092, 1093, 1093, 1093, 1094, 1094, 1095, 1095, 1095, 1096, 1097, 1098, 1098, 1098, 1100, 1100, 1101, 1101, 1101, 1101, 1102, 1102, 1102, 1102, 1102, 1104, 1104, 1106, 1106, 1106, 1107, 1108, 1109, 1109, 1109, 1110, 1111, 1111, 1111, 1111, 1112, 1113, 1114, 1114, 1115, 1115, 1116, 1116, 1117, 1118, 1119, 1119, 1119, 1119, 1120, 1120, 1120, 1121, 1121, 1121, 1123, 1124, 1124, 1124, 1124, 1124, 1125, 1125, 1126, 1126, 1126, 1126, 1127, 1127, 1127, 1127, 1127, 1128, 1129, 1129, 1129, 1130, 1130, 1130, 1130, 1130, 1131, 1131, 1131, 1132, 1132, 1132, 1134, 1134, 1135, 1137, 1139, 1139, 1142, 1144, 1144, 1144, 1145, 1145, 1145, 1146, 1147, 1148, 1148, 1150, 1151, 1152, 1152, 1154, 1154, 1154, 1155, 1155, 1155, 1156, 1157, 1157, 1158, 1158, 1159, 1159, 1159, 1159, 1159, 1160, 1160, 1161, 1161, 1162, 1163, 1163, 1163, 1163, 1164, 1165, 1165, 1166, 1167, 1168, 1168, 1168, 1169, 1169, 1169, 1170, 1172, 1172, 1173, 1174, 1175, 1175, 1176, 1177, 1177, 1177, 1177, 1177, 1177, 1178, 1181, 1183, 1183, 1183, 1184, 1184, 1184, 1184, 1185, 1185, 1185, 1186, 1186, 1186, 1187, 1187, 1187, 1188, 1189, 1189, 1190, 1191, 1191, 1191, 1194, 1194, 1194, 1195, 1198, 1198, 1198, 1199, 1199, 1199, 1200, 1200, 1202, 1202, 1202, 1203, 1204, 1204, 1205, 1206, 1206, 1206, 1207, 1207, 1208, 1209, 1209, 1209, 1209, 1211, 1212, 1212, 1213, 1214, 1214, 1214, 1215, 1218, 1219, 1220, 1220, 1220, 1220, 1222, 1222, 1222, 1222, 1223, 1223, 1223, 1223, 1224, 1225, 1225, 1225, 1225, 1225, 1226, 1226, 1226, 1228, 1228, 1229, 1230, 1231, 1231, 1232, 1232, 1232, 1233, 1234, 1234, 1235, 1235, 1235, 1235, 1236, 1236, 1236, 1237, 1238, 1238, 1239, 1240, 1241, 1242, 1242, 1242, 1244, 1245, 1245, 1245, 1245, 1246, 1246, 1246, 1248, 1249, 1250, 1251, 1251, 1252, 1252, 1253, 1253, 1253, 1253, 1253, 1254, 1254, 1255, 1256, 1257, 1257, 1257, 1258, 1258, 1259, 1259, 1259, 1260, 1260, 1260, 1261, 1261, 1263, 1263, 1263, 1264, 1264, 1264, 1266, 1266, 1266, 1266, 1268, 1268, 1269, 1271, 1272, 1274, 1275, 1275, 1276, 1276, 1276, 1276, 1277, 1278, 1278, 1278, 1278, 1278, 1279, 1279, 1280, 1281, 1282, 1282, 1283, 1283, 1283, 1285, 1285, 1287, 1288, 1289, 1290, 1290, 1290, 1291, 1292, 1292, 1293, 1293, 1293, 1294, 1294, 1294, 1294, 1296, 1296, 1297, 1298, 1298, 1298, 1299, 1300, 1300, 1300, 1301, 1301, 1302, 1303, 1305, 1305, 1306, 1306, 1306, 1308, 1308, 1308, 1308, 1308, 1309, 1309, 1309, 1310, 1310, 1310, 1311, 1312, 1312, 1313, 1313, 1315, 1315, 1316, 1316, 1317, 1317, 1318, 1318, 1318, 1319, 1320, 1320, 1321, 1321, 1321, 1323, 1323, 1323, 1323, 1325, 1325, 1325, 1325, 1328, 1329, 1329, 1329, 1330, 1331, 1332, 1332, 1332, 1332, 1334, 1334, 1334, 1335, 1335, 1336, 1336, 1336, 1336, 1336, 1337, 1339, 1339, 1339, 1341, 1341, 1342, 1342, 1343, 1343, 1345, 1345, 1346, 1346, 1346, 1347, 1347, 1347, 1347, 1348, 1350, 1350, 1350, 1350, 1352, 1353, 1354, 1354, 1354, 1355, 1355, 1355, 1356, 1356, 1357, 1357, 1358, 1358, 1358, 1358, 1358, 1359, 1360, 1360, 1360, 1362, 1363, 1363, 1365, 1365, 1366, 1366, 1367, 1367, 1368, 1368, 1368, 1368, 1369, 1369, 1371, 1372, 1372, 1373, 1374, 1375, 1375, 1376, 1376, 1377, 1377, 1380, 1380, 1380, 1382, 1382, 1382, 1383, 1383, 1385, 1386, 1386, 1387, 1388, 1388, 1389, 1390, 1390, 1391, 1391, 1391, 1392, 1393, 1393, 1393, 1394, 1394, 1395, 1396, 1397, 1397, 1397, 1397, 1398, 1398, 1398, 1398, 1398, 1399, 1399, 1399, 1399, 1400, 1400, 1401, 1401, 1401, 1401, 1401, 1401, 1401, 1402, 1402, 1404, 1404, 1404, 1404, 1404, 1405, 1405, 1405, 1406, 1406, 1407, 1407, 1407, 1407, 1407, 1408, 1409, 1409, 1410, 1410, 1411, 1412, 1412, 1413, 1413, 1414, 1414, 1415, 1416, 1416, 1417, 1418, 1418, 1419, 1420, 1420, 1420, 1420, 1420, 1421, 1421, 1422, 1422, 1422, 1422, 1422, 1423, 1424, 1425, 1427, 1427, 1427, 1427, 1427, 1427, 1428, 1428, 1429, 1430, 1430, 1432, 1432, 1433, 1433, 1433, 1434, 1434, 1434, 1435, 1435, 1436, 1436, 1436, 1437, 1437, 1438, 1440, 1441, 1442, 1442, 1442, 1443, 1443, 1443, 1443, 1443, 1444, 1445, 1445, 1446, 1447, 1448, 1449, 1449, 1449, 1449, 1451, 1452, 1453, 1454, 1454, 1454, 1454, 1455, 1455, 1455, 1457, 1457, 1458, 1458, 1459, 1460, 1461, 1461, 1461, 1461, 1463, 1464, 1465, 1466, 1467, 1467, 1467, 1467, 1467, 1468, 1468, 1468, 1468, 1468, 1469, 1469, 1471, 1472, 1472, 1473, 1474, 1474, 1475, 1475, 1475, 1477, 1477, 1477, 1478, 1478, 1478, 1479, 1480, 1480, 1481, 1482, 1483, 1483, 1484, 1485, 1485, 1486, 1487, 1487, 1487, 1488, 1488, 1489, 1490, 1490, 1491, 1492, 1492, 1493, 1493, 1495, 1495, 1495, 1498, 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19955, 19956, 19957, 19958, 19958, 19959, 19959, 19961, 19962, 19962, 19964, 19964, 19964, 19965, 19965, 19965, 19967, 19967, 19969, 19969, 19970, 19971, 19971, 19971, 19972, 19972, 19973, 19973, 19973, 19974, 19976, 19976, 19976, 19977, 19977, 19977, 19977, 19978, 19980, 19980, 19981, 19981, 19981, 19982, 19982, 19982, 19983, 19984, 19984, 19984, 19985, 19986, 19986, 19986, 19987, 19987, 19988, 19988, 19988, 19989, 19989, 19990, 19990, 19990, 19991, 19991, 19992, 19994, 19994, 19995, 19995, 19995, 19996, 19996, 19996, 19997, 19997, 19998, 19998, 19999, 19999, 19999, 20001, 20001, 20001, 20001, 20002, 20002, 20002, 20003, 20003, 20003, 20003, 20003, 20004, 20006, 20006, 20009, 20009, 20009, 20010, 20011, 20011, 20011, 20012, 20012, 20012, 20012, 20013, 20014, 20014, 20016, 20017, 20017, 20017, 20017, 20018, 20020, 20020, 20020, 20021, 20022, 20022, 20022, 20022, 20023, 20024, 20025, 20025, 20025, 20025, 20026, 20026, 20028, 20028, 20029, 20029, 20030, 20031, 20032, 20033, 20034, 20034, 20034, 20035, 20035, 20035, 20036, 20037, 20038, 20039, 20039, 20040, 20041, 20041, 20041, 20043, 20043, 20044, 20045, 20046, 20047, 20048, 20048, 20049, 20049, 20054, 20054, 20054, 20054, 20055, 20056, 20056, 20057, 20057, 20057, 20058, 20058, 20058, 20059, 20060, 20061, 20061, 20061, 20062, 20062, 20063, 20064, 20065, 20066, 20067, 20068, 20070, 20070, 20072, 20072, 20073, 20073, 20073, 20074, 20075, 20075, 20076, 20076, 20077, 20077, 20078, 20081, 20081, 20081, 20082, 20084, 20084, 20084, 20084, 20086, 20086, 20086, 20086, 20087, 20087, 20087, 20088, 20089, 20089, 20089, 20089, 20090, 20090, 20090, 20090, 20090, 20091, 20091, 20091, 20091, 20091, 20093, 20094, 20094, 20095, 20095, 20095, 20096, 20096, 20097, 20098, 20099, 20099, 20100, 20100, 20101, 20102, 20102, 20102, 20103, 20105, 20105, 20106, 20107, 20107, 20107, 20107, 20107, 20107, 20107, 20109, 20109, 20109, 20110, 20110, 20111, 20111, 20111, 20111, 20114, 20114, 20114, 20115, 20115, 20116, 20116, 20116, 20118, 20120, 20120, 20120, 20120, 20121, 20121, 20122, 20122, 20122, 20123, 20123, 20124, 20124, 20124, 20125, 20126, 20126, 20126, 20126, 20127, 20127, 20127, 20127, 20127, 20127, 20127, 20128, 20129, 20129, 20129, 20129, 20132, 20132, 20133, 20135, 20136, 20137, 20137, 20139, 20139, 20140, 20140, 20141, 20142, 20142, 20143, 20143, 20144, 20145, 20146, 20146, 20147, 20148, 20148, 20149, 20150, 20150, 20151, 20151, 20151, 20153, 20153, 20154, 20154, 20156, 20157, 20157, 20157, 20158, 20158, 20159, 20159, 20161, 20164, 20164, 20165, 20165, 20167, 20167, 20168, 20168, 20169, 20170, 20171, 20171, 20172, 20172, 20172, 20174, 20174, 20174, 20175, 20175, 20175, 20175, 20175, 20176, 20176, 20177, 20177, 20177, 20178, 20179, 20179, 20179, 20179, 20180, 20181, 20181, 20182, 20182, 20183, 20185, 20185, 20186, 20186, 20186, 20186, 20187, 20187, 20187, 20188, 20188, 20188, 20188, 20189, 20189, 20190, 20190, 20191, 20192, 20192, 20194, 20194, 20195, 20195, 20195, 20195, 20197, 20198, 20199, 20200, 20200, 20200, 20201, 20201, 20201, 20202, 20203, 20203, 20203, 20206, 20206, 20206, 20207, 20208, 20208, 20208, 20209, 20209, 20209, 20209, 20211, 20211, 20212, 20213, 20213, 20216, 20217, 20220, 20220, 20221, 20222, 20223, 20224, 20224, 20225, 20226, 20226, 20226, 20227, 20228, 20228, 20228, 20229, 20229, 20229, 20229, 20230, 20232, 20233, 20234, 20236, 20236, 20237, 20237, 20237, 20237, 20238, 20239, 20239, 20240, 20240, 20240, 20241, 20242, 20244, 20245, 20245, 20246, 20248, 20248, 20248, 20249, 20249, 20249, 20251, 20251, 20252, 20252, 20254, 20256, 20257, 20258, 20258, 20258, 20259, 20259, 20260, 20260, 20261, 20261, 20261, 20262, 20263, 20263, 20263, 20264, 20264, 20264, 20264, 20265, 20265, 20266, 20267, 20267, 20269, 20269, 20269, 20270, 20270, 20270, 20271, 20271, 20271, 20271, 20272, 20273, 20274, 20275, 20276, 20276, 20278, 20279, 20280, 20280, 20281, 20281, 20281, 20282, 20283, 20283, 20285, 20285, 20286, 20287, 20287, 20287, 20288, 20288, 20289, 20290, 20291, 20291, 20291, 20293, 20293, 20294, 20294, 20294, 20294, 20295, 20296, 20296, 20296, 20296, 20297, 20298, 20298, 20298, 20298, 20298, 20299, 20299, 20299, 20299, 20300, 20300, 20300, 20300, 20301, 20301, 20302, 20302, 20302, 20302, 20304, 20305, 20306, 20306, 20308, 20308, 20310, 20311, 20311, 20311, 20311, 20312, 20313, 20313, 20313, 20314, 20314, 20317, 20317, 20317, 20317, 20318, 20318, 20318, 20318, 20319, 20319, 20320, 20320, 20320, 20320, 20320, 20320, 20321, 20321, 20322, 20322, 20322, 20322, 20323, 20323, 20325, 20326, 20326, 20326, 20327, 20327, 20328, 20328, 20328, 20328, 20328, 20329, 20331, 20331, 20332, 20332, 20332, 20332, 20332, 20332, 20334, 20334, 20334, 20335, 20335, 20335, 20336, 20337, 20338, 20339, 20340, 20340, 20341, 20341, 20342, 20342, 20343, 20345, 20345, 20345, 20346, 20346, 20346, 20346, 20347, 20347, 20347, 20348, 20350, 20350, 20351, 20352, 20352, 20352, 20352, 20354, 20354, 20354, 20355, 20357, 20359, 20359, 20359, 20361, 20361, 20365, 20366, 20366, 20368, 20368, 20369, 20369, 20370, 20370, 20370, 20372, 20373, 20373, 20373, 20374, 20374, 20375, 20376, 20376, 20378, 20378, 20378, 20378, 20382, 20383, 20383, 20383, 20383, 20384, 20384, 20385, 20385, 20385, 20386, 20386, 20387, 20387, 20388, 20389, 20389, 20389, 20390, 20390, 20390, 20390, 20391, 20392, 20395, 20397, 20399, 20400, 20400, 20400, 20401, 20401, 20402, 20402, 20402, 20402, 20402, 20403, 20403, 20403, 20404, 20405, 20406, 20407, 20407, 20407, 20407, 20407, 20408, 20408, 20409, 20409, 20409, 20410, 20412, 20412, 20413, 20413, 20413, 20414, 20414, 20414, 20415, 20415, 20415, 20416, 20417, 20417, 20418, 20419, 20419, 20421, 20422, 20423, 20424, 20425, 20425, 20428, 20429, 20429, 20429, 20429, 20430, 20430, 20431, 20432, 20432, 20432, 20433, 20433, 20434, 20435, 20436, 20436, 20436, 20436, 20436, 20437, 20437, 20438, 20438, 20439, 20439, 20441, 20442, 20442, 20442, 20442, 20443, 20443, 20443, 20444, 20444, 20445, 20445, 20445, 20446, 20446, 20447, 20447, 20449, 20449, 20449, 20450, 20451, 20452, 20452, 20452, 20452, 20452, 20452, 20453, 20453, 20453, 20453, 20454, 20454, 20456, 20457, 20457, 20458, 20458, 20458, 20458, 20459, 20459, 20459, 20459, 20462, 20462, 20462, 20462, 20463, 20463, 20463, 20464, 20464, 20466, 20466, 20469, 20470, 20470, 20470, 20471, 20471, 20472, 20474, 20475, 20475, 20476, 20477, 20478, 20478, 20478, 20479, 20480, 20480, 20481, 20481, 20481, 20482, 20482, 20482, 20482, 20483, 20483, 20484, 20485, 20485, 20488, 20489, 20489, 20489, 20491, 20491, 20491, 20492, 20492, 20492, 20493, 20494, 20494, 20495, 20495, 20496, 20496, 20496, 20497, 20498, 20499, 20499, 20500, 20501, 20501, 20502, 20502, 20502, 20502, 20504, 20504, 20504, 20504, 20505, 20505, 20506, 20508, 20508, 20509, 20510, 20510, 20511, 20511, 20513, 20513, 20513, 20514, 20514, 20514, 20515, 20515, 20515, 20516, 20517, 20517, 20518, 20518, 20518, 20520, 20521, 20521, 20521, 20522, 20524, 20525, 20525, 20525, 20525, 20525, 20525, 20525, 20525, 20527, 20527, 20527, 20528, 20529, 20530, 20531, 20533, 20533, 20534, 20534, 20535, 20536, 20538, 20538, 20539, 20539, 20541, 20543, 20543, 20543, 20543, 20543, 20544, 20545, 20545, 20545, 20546, 20546, 20546, 20548, 20548, 20548, 20549, 20549, 20550, 20550, 20551, 20551, 20552, 20552, 20553, 20553, 20554, 20555, 20556, 20556, 20556, 20556, 20556, 20557, 20557, 20557, 20557, 20558, 20560, 20560, 20561, 20561, 20561, 20561, 20563, 20563, 20563, 20563, 20564, 20564, 20565, 20566, 20566, 20566, 20567, 20569, 20569, 20570, 20570, 20570, 20571, 20571, 20571, 20572, 20572, 20574, 20575, 20575, 20576, 20577, 20577, 20578, 20578, 20579, 20579, 20579, 20579, 20580, 20580, 20580, 20580, 20581, 20581, 20582, 20582, 20583, 20583, 20584, 20584, 20584, 20585, 20586, 20587, 20587, 20588, 20589, 20589, 20589, 20590, 20590, 20591, 20592, 20592, 20593, 20593, 20594, 20595, 20596, 20596, 20596, 20597, 20597, 20598, 20598, 20598, 20599, 20599, 20600, 20601, 20601, 20602, 20602, 20602, 20602, 20603, 20603, 20605, 20608, 20608, 20609, 20609, 20610, 20610, 20612, 20612, 20613, 20614, 20615, 20615, 20616, 20616, 20617, 20618, 20619, 20620, 20620, 20620, 20620, 20620, 20621, 20621, 20622, 20623, 20624, 20624, 20624, 20625, 20626, 20626, 20626, 20626, 20626, 20627, 20627, 20629, 20630, 20630, 20630, 20631, 20631, 20632, 20632, 20633, 20634, 20635, 20637, 20638, 20638, 20638, 20639, 20639, 20640, 20640, 20641, 20641, 20641, 20642, 20642, 20644, 20644, 20645, 20647, 20648, 20649, 20649, 20650, 20650, 20650, 20650, 20652, 20652, 20652, 20652, 20653, 20653, 20653, 20653, 20654, 20654, 20654, 20654, 20655, 20656, 20656, 20656, 20656, 20657, 20657, 20657, 20657, 20658, 20659, 20660, 20661, 20661, 20661, 20661, 20661, 20662, 20662, 20662, 20663, 20663, 20663, 20664, 20665, 20666, 20668, 20670, 20670, 20671, 20672, 20673, 20673, 20673, 20674, 20674, 20675, 20675, 20675, 20676, 20676, 20677, 20678, 20678, 20679, 20679, 20681, 20681, 20681, 20682, 20683, 20684, 20685, 20686, 20687, 20687, 20687, 20688, 20689, 20689, 20690, 20691, 20691, 20691, 20691, 20692, 20692, 20692, 20693, 20693, 20693, 20694, 20694, 20695, 20696, 20696, 20697, 20698, 20700, 20701, 20701, 20701, 20703, 20704, 20704, 20704, 20705, 20705, 20705, 20706, 20706, 20706, 20708, 20708, 20708, 20709, 20710, 20711, 20711, 20711, 20712, 20712, 20713, 20713, 20714, 20715, 20716, 20716, 20716, 20717, 20717, 20717, 20717, 20717, 20718, 20718, 20718, 20719, 20720, 20720, 20721, 20721, 20721, 20722, 20722, 20722, 20724, 20724, 20724, 20724, 20725, 20725, 20727, 20728, 20728, 20729, 20729, 20729, 20730, 20730, 20731, 20731, 20732, 20732, 20732, 20733, 20734, 20734, 20736, 20736, 20737, 20737, 20738, 20739, 20740, 20740, 20743, 20744, 20745, 20745, 20746, 20747, 20748, 20749, 20750, 20750, 20751, 20751, 20752, 20752, 20752, 20752, 20753, 20754, 20755, 20755, 20755, 20755, 20756, 20756, 20756, 20756, 20758, 20758, 20758, 20759, 20759, 20760, 20760, 20760, 20761, 20762, 20762, 20762, 20763, 20765, 20766, 20768, 20768, 20770, 20771, 20771, 20773, 20774, 20774, 20774, 20774, 20775, 20775, 20775, 20776, 20778, 20778, 20779, 20779, 20779, 20780, 20782, 20783, 20783, 20785, 20785, 20785, 20785, 20787, 20787, 20787, 20787, 20788, 20788, 20789, 20789, 20790, 20790, 20790, 20791, 20792, 20793, 20793, 20793, 20793, 20795, 20795, 20796, 20796, 20797, 20797, 20798, 20798, 20798, 20799, 20799, 20801, 20801, 20801, 20802, 20803, 20803, 20804, 20804, 20805, 20806, 20806, 20807, 20807, 20808, 20808, 20808, 20809, 20809, 20809, 20809, 20810, 20810, 20811, 20811, 20811, 20811, 20811, 20811, 20812, 20813, 20813, 20814, 20815, 20815, 20816, 20816, 20816, 20817, 20819, 20819, 20819, 20819, 20820, 20820, 20820, 20820, 20821, 20821, 20821, 20822, 20823, 20823, 20824, 20824, 20825, 20825, 20826, 20826, 20827, 20827, 20827, 20828, 20829, 20829, 20829, 20829, 20829, 20829, 20829, 20830, 20830, 20831, 20832, 20832, 20832, 20832, 20834, 20834, 20835, 20836, 20837, 20837, 20837, 20838, 20838, 20838, 20838, 20838, 20840, 20841, 20841, 20841, 20843, 20843, 20844, 20845, 20845, 20845, 20846, 20846, 20848, 20848, 20849, 20850, 20851, 20854, 20854, 20854, 20856, 20856, 20856, 20856, 20856, 20857, 20857, 20858, 20858, 20859, 20859, 20859, 20859, 20861, 20862, 20862, 20863, 20863, 20864, 20865, 20865, 20865, 20866, 20868, 20871, 20871, 20872, 20872, 20872, 20873, 20873, 20874, 20874, 20874, 20874, 20876, 20877, 20877, 20877, 20877, 20877, 20877, 20877, 20877, 20879, 20880, 20880, 20880, 20881, 20881, 20881, 20882, 20882, 20884, 20885, 20886, 20886, 20887, 20887, 20888, 20888, 20888, 20889, 20889, 20889, 20890, 20890, 20890, 20890, 20891, 20891, 20891, 20891, 20892, 20893, 20894, 20894, 20895, 20896, 20897, 20897, 20898, 20899, 20900, 20900, 20901, 20902, 20902, 20902, 20902, 20903, 20904, 20904, 20904, 20904, 20904, 20904, 20905, 20906, 20909, 20910, 20910, 20910, 20910, 20911, 20912, 20912, 20912, 20913, 20913, 20915, 20915, 20916, 20918, 20918, 20918, 20918, 20919, 20920, 20922, 20924, 20924, 20926, 20926, 20926, 20926, 20927, 20927, 20928, 20929, 20931, 20933, 20933, 20936, 20937, 20937, 20937, 20937, 20939, 20940, 20941, 20941, 20942, 20943, 20944, 20947, 20948, 20948, 20949, 20950, 20951, 20952, 20952, 20953, 20953, 20953, 20956, 20956, 20959, 20959, 20959, 20960, 20961, 20962, 20963, 20963, 20963, 20965, 20965, 20966, 20967, 20968, 20968, 20968, 20968, 20968, 20969, 20969, 20970, 20970, 20970, 20972, 20972, 20973, 20973, 20975, 20975, 20975, 20975, 20977, 20978, 20979, 20980, 20980, 20981, 20981, 20981, 20982, 20982, 20982, 20983, 20983, 20983, 20983, 20984, 20985, 20985, 20985, 20986, 20986, 20987, 20988, 20988, 20989, 20989, 20989, 20990, 20990, 20990, 20990, 20990, 20990, 20991, 20992, 20992, 20993, 20993, 20993, 20994, 20994, 20995, 20996, 20996, 20997, 20997, 20997, 20999, 20999, 20999, 21001, 21001, 21001, 21001, 21002, 21002, 21003, 21003, 21004, 21005, 21006, 21006, 21006, 21006, 21006, 21006, 21007, 21008, 21008, 21008, 21008, 21009, 21009, 21009, 21010, 21011, 21011, 21012, 21012, 21012, 21013, 21013, 21013, 21014, 21014, 21015, 21015, 21016, 21016, 21016, 21016, 21016, 21016, 21017, 21018, 21018, 21018, 21019, 21020, 21020, 21022, 21022, 21022, 21023, 21023, 21023, 21024, 21025, 21025, 21026, 21026, 21028, 21028, 21028, 21029, 21029, 21029, 21032, 21033, 21033, 21034, 21034, 21035, 21035, 21037, 21037, 21037, 21038, 21038, 21039, 21039, 21039, 21040, 21040, 21040, 21041, 21042, 21042, 21044, 21045, 21045, 21046, 21046, 21046, 21048, 21048, 21049, 21049, 21050, 21050, 21050, 21051, 21053, 21054, 21055, 21055, 21055, 21055, 21056, 21059, 21059, 21060, 21060, 21060, 21060, 21062, 21063, 21064, 21064, 21064, 21064, 21064, 21064, 21066, 21066, 21067, 21067, 21067, 21067, 21067, 21069, 21070, 21070, 21070, 21071, 21072, 21072, 21072, 21073, 21073, 21074, 21078, 21079, 21079, 21079, 21080, 21081, 21082, 21084, 21084, 21084, 21085, 21085, 21086, 21087, 21087, 21088, 21088, 21089, 21089, 21089, 21089, 21090, 21092, 21092, 21093, 21093, 21094, 21094, 21094, 21094, 21095, 21095, 21096, 21097, 21099, 21100, 21100, 21101, 21101, 21103, 21104, 21106, 21106, 21107, 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45311, 45312, 45312, 45314, 45314, 45314, 45315, 45315, 45316, 45316, 45317, 45317, 45317, 45317, 45317, 45319, 45320, 45321, 45321, 45322, 45322, 45323, 45323, 45323, 45323, 45324, 45325, 45326, 45326, 45326, 45327, 45327, 45328, 45328, 45328, 45328, 45329, 45329, 45330, 45330, 45332, 45332, 45332, 45332, 45334, 45335, 45336, 45336, 45338, 45338, 45339, 45339, 45340, 45342, 45344, 45345, 45345, 45346, 45346, 45347, 45347, 45348, 45348, 45350, 45350, 45350, 45350, 45350, 45351, 45352, 45353, 45354, 45354, 45355, 45355, 45355, 45356, 45356, 45357, 45357, 45357, 45358, 45358, 45358, 45361, 45361, 45361, 45362, 45362, 45363, 45363, 45364, 45364, 45365, 45366, 45367, 45367, 45367, 45367, 45368, 45369, 45369, 45370, 45370, 45370, 45371, 45371, 45371, 45372, 45372, 45373, 45373, 45373, 45374, 45374, 45374, 45375, 45375, 45376, 45377, 45377, 45377, 45378, 45378, 45379, 45379, 45379, 45379, 45380, 45382, 45382, 45382, 45383, 45384, 45384, 45384, 45385, 45385, 45385, 45386, 45386, 45387, 45387, 45387, 45387, 45388, 45388, 45389, 45389, 45390, 45391, 45392, 45392, 45392, 45393, 45393, 45393, 45394, 45396, 45396, 45396, 45396, 45398, 45399, 45400, 45400, 45400, 45401, 45401, 45401, 45401, 45402, 45403, 45403, 45404, 45406, 45406, 45407, 45408, 45408, 45410, 45412, 45413, 45413, 45413, 45414, 45415, 45416, 45416, 45419, 45420, 45421, 45421, 45421, 45421, 45422, 45422, 45422, 45422, 45423, 45423, 45424, 45424, 45425, 45426, 45426, 45426, 45428, 45428, 45429, 45429, 45429, 45429, 45430, 45431, 45432, 45432, 45432, 45432, 45433, 45433, 45433, 45434, 45434, 45434, 45435, 45436, 45436, 45437, 45438, 45438, 45438, 45439, 45439, 45439, 45440, 45440, 45440, 45441, 45441, 45442, 45444, 45445, 45445, 45445, 45446, 45447, 45447, 45448, 45448, 45448, 45449, 45449, 45449, 45449, 45451, 45452, 45452, 45453, 45454, 45455, 45455, 45456, 45456, 45456, 45457, 45457, 45457, 45458, 45458, 45458, 45459, 45459, 45459, 45459, 45459, 45459, 45461, 45461, 45462, 45462, 45465, 45466, 45467, 45467, 45468, 45468, 45468, 45468, 45470, 45470, 45471, 45472, 45473, 45474, 45475, 45476, 45476, 45478, 45478, 45478, 45479, 45479, 45479, 45480, 45480, 45480, 45482, 45482, 45482, 45482, 45482, 45483, 45483, 45483),45483), 0) + } + + test("test9") { + assertEquals(Main.minimumAddedCoins(List(1, 1, 2, 3, 3, 4, 4, 4, 4, 6, 9, 9, 12, 13, 20, 22, 22, 24, 25, 25, 31, 32, 36, 36, 40, 48, 48, 50, 51, 54, 54, 60, 60, 62, 63, 64, 64, 66, 70, 72, 72, 73, 74, 76, 77, 82, 84, 84, 85, 86, 86, 89, 90, 92, 92, 97, 98, 99, 100, 103, 103, 104, 105, 110, 110, 111, 111, 112, 120, 123, 124, 128, 129, 131, 133, 133, 135, 135, 138, 142, 143, 146, 146, 147, 152, 155, 156, 156, 159, 159, 162, 164, 164, 173, 173, 174, 177, 182, 183, 183, 185, 188, 190, 191, 193, 193, 194, 198, 200, 201, 203, 206, 209, 213, 221, 221, 221, 225, 226, 228, 230, 232, 233, 233, 233, 235, 236, 236, 238, 240, 240, 240, 240, 241, 241, 241, 242, 245, 245, 245, 248, 250, 253, 254, 260, 260, 260, 260, 260, 262, 263, 267, 270, 272, 274, 274, 276, 277, 280, 280, 281, 282, 285, 285, 286, 287, 289, 290, 291, 291, 291, 298, 302, 302, 303, 305, 309, 311, 312, 314, 317, 318, 319, 321, 324, 325, 326, 327, 329, 331, 333, 335, 335, 336, 337, 343, 346, 346, 346, 351, 354, 355, 357, 357, 361, 362, 362, 364, 365, 367, 368, 371, 373, 377, 377, 378, 379, 380, 380, 380, 381, 381, 390, 392, 393, 399, 400, 402, 405, 405, 406, 408, 408, 409, 409, 411, 414, 419, 420, 420, 420, 426, 426, 426, 429, 432, 434, 436, 437, 439, 439, 441, 442, 442, 443, 444, 445, 449, 450, 454, 457, 458, 458, 459, 459, 459, 460, 462, 465, 466, 466, 471, 473, 473, 473, 474, 475, 475, 476, 476, 478, 478, 487, 488, 489, 490, 493, 495, 496, 496, 496, 497, 498, 499, 504, 506, 511, 511, 511, 514, 515, 515, 521, 521, 521, 529, 529, 531, 534, 535, 537, 539, 540, 540, 540, 542, 543, 544, 545, 546, 549, 550, 554, 555, 557, 557, 558, 559, 559, 562, 565, 569, 571, 572, 575, 578, 583, 584, 585, 591, 592, 592, 595, 598, 600, 600, 601, 603, 603, 605, 605, 605, 607, 607, 608, 608, 610, 613, 613, 613, 614, 617, 618, 620, 620, 623, 629, 630, 633, 635, 636, 637, 638, 638, 639, 641, 641, 641, 643, 643, 644, 644, 646, 649, 651, 654, 655, 657, 666, 666, 669, 670, 673, 677, 677, 677, 679, 680, 681, 687, 688, 688, 689, 690, 693, 694, 695, 699, 702, 703, 707, 709, 709, 711, 714, 716, 717, 718, 719, 720, 720, 721, 724, 725, 729, 729, 731, 732, 732, 733, 735, 737, 738, 740, 743, 745, 745, 753, 753, 754, 755, 758, 759, 760, 762, 762, 763, 766, 771, 776, 782, 785, 785, 786, 786, 786, 786, 787, 788, 790, 790, 794, 796, 798, 799, 801, 801, 803, 804, 806, 807, 808, 809, 810, 811, 811, 813, 816, 816, 822, 827, 828, 828, 829, 831, 837, 838, 839, 840, 844, 846, 846, 846, 847, 856, 857, 858, 858, 861, 863, 863, 863, 863, 866, 867, 869, 871, 873, 875, 877, 878, 878, 879, 885, 887, 888, 890, 890, 890, 890, 894, 896, 897, 899, 900, 901, 903, 912, 914, 915, 917, 917, 918, 918, 919, 920, 923, 924, 925, 925, 928, 929, 930, 930, 932, 936, 936, 941, 941, 941, 942, 943, 945, 946, 947, 948, 948, 949, 949, 950, 951, 955, 956, 958, 959, 960, 961, 962, 962, 963, 964, 965, 969, 969, 970, 975, 976, 978, 979, 981, 983, 983, 984, 985, 987, 987, 988, 990, 993, 993, 994, 994, 1004, 1006, 1008, 1009, 1010, 1011, 1011, 1011, 1014, 1018, 1018, 1025, 1027, 1028, 1028, 1029, 1031, 1034, 1041, 1041, 1045, 1045, 1045, 1046, 1049, 1049, 1051, 1052, 1052, 1053, 1054, 1054, 1056, 1058, 1059, 1060, 1060, 1061, 1067, 1069, 1069, 1070, 1071, 1072, 1075, 1079, 1082, 1084, 1086, 1090, 1093, 1093, 1094, 1094, 1095, 1097, 1097, 1099, 1101, 1103, 1106, 1113, 1113, 1115, 1116, 1118, 1123, 1128, 1133, 1133, 1136, 1137, 1137, 1140, 1140, 1141, 1142, 1143, 1145, 1146, 1148, 1149, 1151, 1151, 1151, 1155, 1156, 1157, 1162, 1162, 1163, 1164, 1166, 1168, 1168, 1169, 1176, 1178, 1182, 1188, 1190, 1191, 1192, 1193, 1193, 1193, 1194, 1195, 1195, 1195, 1195, 1197, 1199, 1199, 1200, 1200, 1201, 1208, 1212, 1213, 1216, 1217, 1218, 1219, 1220, 1222, 1224, 1224, 1227, 1227, 1229, 1230, 1235, 1241, 1241, 1244, 1244, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1255, 1256, 1257, 1259, 1268, 1269, 1273, 1276, 1277, 1277, 1279, 1280, 1282, 1285, 1287, 1288, 1289, 1290, 1296, 1296, 1298, 1298, 1308, 1311, 1312, 1321, 1326, 1327, 1334, 1336, 1336, 1338, 1339, 1339, 1339, 1341, 1347, 1349, 1351, 1352, 1354, 1354, 1356, 1360, 1360, 1360, 1361, 1362, 1362, 1362, 1369, 1373, 1375, 1377, 1378, 1380, 1382, 1385, 1388, 1392, 1393, 1394, 1394, 1398, 1399, 1399, 1402, 1403, 1406, 1408, 1410, 1413, 1413, 1417, 1418, 1418, 1420, 1421, 1423, 1423, 1423, 1425, 1427, 1431, 1431, 1433, 1438, 1439, 1441, 1442, 1443, 1444, 1447, 1450, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1458, 1461, 1462, 1462, 1465, 1466, 1466, 1471, 1472, 1472, 1472, 1474, 1475, 1479, 1481, 1484, 1484, 1486, 1487, 1488, 1491, 1493, 1497, 1499, 1499, 1504, 1506, 1506, 1508, 1511, 1515, 1518, 1519, 1520, 1521, 1526, 1526, 1528, 1532, 1532, 1535, 1536, 1538, 1538, 1539, 1546, 1546, 1550, 1550, 1552, 1552, 1558, 1558, 1559, 1564, 1566, 1566, 1566, 1568, 1569, 1570, 1571, 1572, 1574, 1574, 1575, 1575, 1577, 1584, 1585, 1587, 1588, 1589, 1591, 1591, 1592, 1592, 1596, 1598, 1598, 1600, 1600, 1601, 1602, 1603, 1605, 1606, 1609, 1617, 1618, 1619, 1620, 1621, 1621, 1623, 1623, 1624, 1628, 1631, 1631, 1634, 1635, 1635, 1637, 1638, 1639, 1642, 1644, 1645, 1645, 1647, 1650, 1653, 1654, 1654, 1655, 1658, 1669, 1674, 1675, 1677, 1677, 1680, 1683, 1683, 1683, 1683, 1684, 1684, 1685, 1690, 1691, 1701, 1706, 1706, 1707, 1710, 1710, 1711, 1712, 1712, 1714, 1715, 1716, 1717, 1717, 1723, 1724, 1726, 1726, 1726, 1728, 1730, 1732, 1733, 1734, 1735, 1735, 1737, 1738, 1742, 1744, 1746, 1747, 1749, 1749, 1750, 1751, 1753, 1756, 1758, 1765, 1765, 1767, 1767, 1768, 1768, 1769, 1769, 1771, 1771, 1775, 1776, 1780, 1782, 1785, 1787, 1788, 1788, 1793, 1794, 1796, 1799, 1801, 1803, 1803, 1803, 1808, 1812, 1813, 1817, 1817, 1820, 1824, 1825, 1825, 1827, 1831, 1832, 1832, 1840, 1840, 1841, 1841, 1843, 1849, 1854, 1856, 1861, 1862, 1863, 1864, 1865, 1865, 1865, 1868, 1869, 1870, 1873, 1874, 1877, 1881, 1881, 1882, 1882, 1883, 1886, 1889, 1892, 1893, 1895, 1896, 1896, 1896, 1899, 1902, 1902, 1904, 1912, 1912, 1913, 1914, 1915, 1917, 1917, 1920, 1921, 1922, 1924, 1926, 1927, 1927, 1930, 1930, 1931, 1932, 1933, 1934, 1936, 1937, 1939, 1942, 1945, 1946, 1948, 1956, 1956, 1956, 1957, 1958, 1958, 1963, 1963, 1965, 1965, 1966, 1969, 1971, 1972, 1972, 1975, 1976, 1981, 1981, 1982, 1982, 1986, 1988, 1989, 1990, 1990, 1991, 1992, 1994, 1996, 1996, 1996, 2001, 2002, 2003, 2004, 2007, 2007, 2007, 2010, 2010, 2011, 2013, 2013, 2014, 2017, 2018, 2019, 2020, 2021, 2023, 2027, 2030, 2034, 2036, 2036, 2038, 2038, 2038, 2040, 2042, 2043, 2044, 2047, 2047, 2049, 2051, 2051, 2053, 2054, 2057, 2058, 2059, 2061, 2063, 2065, 2065, 2066, 2066, 2068, 2070, 2070, 2070, 2074, 2075, 2075, 2076, 2077, 2078, 2081, 2081, 2082, 2083, 2084, 2085, 2087, 2089, 2089, 2091, 2093, 2096, 2099, 2103, 2105, 2106, 2114, 2120, 2121, 2121, 2121, 2122, 2123, 2124, 2126, 2128, 2132, 2139, 2139, 2140, 2140, 2140, 2141, 2145, 2147, 2150, 2150, 2152, 2154, 2154, 2156, 2159, 2162, 2163, 2165, 2168, 2168, 2169, 2172, 2172, 2172, 2173, 2173, 2177, 2178, 2178, 2182, 2185, 2187, 2188, 2189, 2189, 2191, 2191, 2191, 2192, 2193, 2195, 2196, 2197, 2200, 2200, 2200, 2200, 2203, 2203, 2205, 2210, 2212, 2215, 2216, 2218, 2219, 2220, 2221, 2222, 2225, 2226, 2226, 2230, 2230, 2234, 2236, 2237, 2237, 2242, 2243, 2243, 2246, 2246, 2248, 2249, 2252, 2256, 2258, 2263, 2264, 2264, 2266, 2267, 2273, 2276, 2277, 2278, 2279, 2281, 2282, 2285, 2285, 2287, 2287, 2293, 2297, 2298, 2300, 2301, 2305, 2306, 2306, 2307, 2308, 2309, 2310, 2311, 2313, 2313, 2313, 2315, 2320, 2321, 2321, 2321, 2322, 2322, 2322, 2326, 2328, 2329, 2332, 2334, 2336, 2337, 2338, 2339, 2340, 2342, 2343, 2344, 2349, 2352, 2353, 2354, 2354, 2355, 2360, 2361, 2363, 2367, 2369, 2370, 2376, 2377, 2379, 2380, 2382, 2382, 2388, 2391, 2393, 2394, 2396, 2396, 2398, 2408, 2408, 2409, 2413, 2415, 2419, 2422, 2424, 2425, 2431, 2431, 2436, 2442, 2445, 2445, 2449, 2452, 2452, 2458, 2458, 2459, 2464, 2464, 2464, 2468, 2469, 2474, 2475, 2475, 2477, 2482, 2482, 2484, 2489, 2491, 2491, 2492, 2492, 2493, 2493, 2496, 2496, 2498, 2498, 2499, 2504, 2513, 2516, 2516, 2518, 2519, 2521, 2523, 2524, 2525, 2527, 2529, 2530, 2530, 2532, 2535, 2543, 2545, 2547, 2551, 2551, 2552, 2555, 2557, 2557, 2560, 2561, 2561, 2562, 2565, 2566, 2568, 2568, 2569, 2571, 2573, 2574, 2574, 2575, 2575, 2576, 2577, 2577, 2577, 2579, 2580, 2588, 2588, 2589, 2593, 2594, 2596, 2596, 2596, 2596, 2596, 2597, 2602, 2603, 2604, 2611, 2613, 2616, 2617, 2619, 2619, 2631, 2633, 2635, 2639, 2640, 2640, 2641, 2645, 2648, 2650, 2651, 2653, 2656, 2657, 2663, 2664, 2669, 2670, 2676, 2676, 2679, 2679, 2680, 2681, 2685, 2689, 2689, 2692, 2692, 2699, 2700, 2700, 2700, 2701, 2702, 2704, 2705, 2711, 2717, 2720, 2721, 2723, 2724, 2728, 2729, 2731, 2732, 2733, 2734, 2734, 2734, 2736, 2738, 2738, 2740, 2742, 2743, 2744, 2745, 2746, 2747, 2747, 2749, 2754, 2757, 2758, 2758, 2759, 2762, 2762, 2762, 2764, 2765, 2766, 2767, 2769, 2770, 2771, 2773, 2775, 2777, 2780, 2780, 2780, 2786, 2791, 2792, 2798, 2799, 2799, 2805, 2805, 2806, 2806, 2809, 2809, 2810, 2812, 2812, 2812, 2814, 2817, 2821, 2824, 2824, 2829, 2829, 2830, 2830, 2833, 2834, 2835, 2839, 2840, 2841, 2846, 2851, 2852, 2858, 2859, 2860, 2861, 2866, 2867, 2869, 2870, 2870, 2871, 2873, 2874, 2875, 2875, 2878, 2878, 2880, 2882, 2882, 2887, 2891, 2891, 2891, 2895, 2903, 2905, 2906, 2906, 2913, 2913, 2918, 2921, 2922, 2924, 2925, 2927, 2934, 2938, 2939, 2939, 2940, 2940, 2943, 2944, 2946, 2955, 2955, 2956, 2957, 2958, 2959, 2959, 2962, 2963, 2964, 2970, 2971, 2974, 2975, 2976, 2980, 2982, 2985, 2987, 2989, 2991, 2992, 2992, 2994, 2996, 2997, 2997, 3000, 3001, 3003, 3005, 3006, 3007, 3009, 3010, 3015, 3015, 3016, 3016, 3017, 3021, 3021, 3025, 3030, 3030, 3031, 3031, 3031, 3033, 3033, 3035, 3036, 3036, 3041, 3042, 3042, 3044, 3045, 3047, 3047, 3048, 3049, 3049, 3050, 3053, 3057, 3057, 3060, 3061, 3062, 3063, 3065, 3067, 3067, 3068, 3069, 3070, 3072, 3072, 3072, 3074, 3077, 3083, 3084, 3088, 3093, 3096, 3098, 3099, 3099, 3100, 3103, 3104, 3105, 3108, 3108, 3112, 3113, 3114, 3117, 3117, 3118, 3120, 3122, 3125, 3125, 3134, 3137, 3138, 3139, 3139, 3142, 3143, 3144, 3146, 3146, 3148, 3148, 3148, 3149, 3150, 3151, 3152, 3156, 3162, 3162, 3165, 3175, 3175, 3176, 3176, 3178, 3181, 3183, 3184, 3184, 3185, 3188, 3196, 3200, 3202, 3205, 3206, 3207, 3210, 3210, 3211, 3211, 3214, 3214, 3214, 3216, 3216, 3219, 3219, 3221, 3222, 3225, 3226, 3227, 3230, 3232, 3232, 3236, 3236, 3237, 3239, 3241, 3243, 3244, 3247, 3249, 3250, 3253, 3256, 3257, 3261, 3261, 3265, 3267, 3271, 3272, 3272, 3278, 3278, 3280, 3282, 3284, 3288, 3288, 3289, 3291, 3293, 3302, 3302, 3303, 3303, 3303, 3312, 3314, 3316, 3316, 3319, 3319, 3322, 3322, 3322, 3323, 3326, 3326, 3328, 3328, 3329, 3331, 3333, 3335, 3338, 3341, 3341, 3342, 3343, 3343, 3344, 3344, 3345, 3345, 3347, 3348, 3348, 3349, 3350, 3355, 3355, 3356, 3356, 3361, 3363, 3365, 3365, 3369, 3369, 3371, 3371, 3372, 3373, 3375, 3375, 3375, 3376, 3378, 3379, 3380, 3380, 3381, 3382, 3382, 3386, 3387, 3387, 3390, 3391, 3392, 3395, 3397, 3400, 3402, 3405, 3406, 3409, 3410, 3413, 3416, 3417, 3417, 3418, 3418, 3419, 3421, 3421, 3426, 3426, 3428, 3429, 3429, 3433, 3435, 3437, 3438, 3439, 3440, 3441, 3443, 3445, 3445, 3448, 3448, 3448, 3451, 3453, 3453, 3455, 3455, 3458, 3458, 3460, 3462, 3465, 3465, 3467, 3471, 3473, 3474, 3474, 3476, 3478, 3480, 3481, 3482, 3484, 3485, 3486, 3486, 3486, 3489, 3491, 3492, 3493, 3493, 3494, 3495, 3495, 3499, 3499, 3499, 3500, 3504, 3504, 3505, 3505, 3509, 3511, 3511, 3518, 3519, 3519, 3519, 3519, 3524, 3524, 3524, 3524, 3526, 3526, 3530, 3530, 3532, 3532, 3532, 3533, 3535, 3537, 3538, 3544, 3546, 3547, 3547, 3549, 3549, 3551, 3554, 3556, 3557, 3557, 3562, 3562, 3562, 3564, 3564, 3565, 3565, 3572, 3573, 3574, 3575, 3576, 3579, 3580, 3581, 3585, 3586, 3588, 3590, 3592, 3593, 3600, 3600, 3601, 3605, 3606, 3606, 3607, 3609, 3611, 3614, 3615, 3616, 3616, 3617, 3618, 3618, 3619, 3627, 3628, 3632, 3637, 3637, 3644, 3646, 3652, 3654, 3655, 3660, 3660, 3661, 3662, 3663, 3664, 3664, 3665, 3666, 3666, 3668, 3669, 3671, 3672, 3674, 3677, 3683, 3684, 3686, 3686, 3689, 3690, 3695, 3702, 3705, 3714, 3715, 3715, 3715, 3718, 3719, 3720, 3722, 3724, 3726, 3726, 3728, 3729, 3732, 3733, 3733, 3733, 3734, 3736, 3737, 3740, 3742, 3744, 3745, 3748, 3749, 3751, 3752, 3753, 3753, 3754, 3754, 3754, 3755, 3758, 3760, 3760, 3761, 3762, 3766, 3769, 3771, 3772, 3773, 3773, 3774, 3775, 3776, 3777, 3777, 3779, 3781, 3783, 3785, 3786, 3788, 3788, 3789, 3792, 3793, 3795, 3797, 3798, 3799, 3800, 3804, 3804, 3804, 3805, 3806, 3807, 3808, 3810, 3814, 3816, 3819, 3820, 3822, 3824, 3824, 3826, 3827, 3828, 3829, 3831, 3831, 3832, 3832, 3832, 3832, 3832, 3833, 3834, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3841, 3841, 3844, 3844, 3845, 3849, 3849, 3852, 3859, 3860, 3862, 3864, 3869, 3870, 3882, 3884, 3884, 3884, 3887, 3894, 3895, 3898, 3898, 3898, 3902, 3904, 3911, 3913, 3920, 3920, 3921, 3922, 3925, 3926, 3927, 3929, 3932, 3932, 3935, 3935, 3936, 3937, 3938, 3942, 3942, 3943, 3943, 3953, 3954, 3954, 3955, 3957, 3958, 3959, 3960, 3962, 3963, 3965, 3968, 3969, 3969, 3970, 3972, 3973, 3976, 3977, 3979, 3980, 3984, 3987, 3987, 3993, 3995, 3996, 3997, 3997, 3999, 4007, 4011, 4014, 4014, 4015, 4016, 4018, 4021, 4023, 4030, 4031, 4033, 4033, 4033, 4034, 4034, 4038, 4039, 4040, 4040, 4041, 4042, 4044, 4045, 4048, 4051, 4055, 4057, 4059, 4059, 4060, 4066, 4071, 4072, 4073, 4074, 4075, 4077, 4080, 4082, 4083, 4084, 4085, 4086, 4089, 4089, 4089, 4094, 4094, 4099, 4100, 4100, 4102, 4104, 4107, 4108, 4109, 4110, 4112, 4114, 4117, 4119, 4119, 4123, 4125, 4125, 4127, 4129, 4134, 4134, 4135, 4136, 4137, 4144, 4145, 4148, 4151, 4152, 4152, 4161, 4161, 4161, 4163, 4163, 4163, 4166, 4166, 4168, 4168, 4171, 4175, 4175, 4178, 4184, 4185, 4186, 4186, 4187, 4188, 4190, 4191, 4192, 4198, 4200, 4201, 4201, 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38263, 38265, 38267, 38267, 38269, 38270, 38271, 38273, 38275, 38275, 38276, 38276, 38277, 38277, 38277, 38277, 38281, 38281, 38283, 38283, 38284, 38286, 38288, 38295, 38299, 38302, 38304, 38307, 38311, 38315, 38315, 38315, 38317, 38317, 38317, 38334, 38334, 38339, 38340, 38343, 38344, 38344, 38345, 38348, 38350, 38355, 38358, 38359, 38362, 38365, 38366, 38366, 38368, 38368, 38369, 38370, 38370, 38370, 38371, 38375, 38376, 38377, 38379, 38381, 38382, 38383, 38383, 38384, 38384, 38388, 38389, 38390, 38392, 38392, 38397, 38398, 38403, 38405, 38405, 38406, 38407, 38409, 38409, 38410, 38410, 38415, 38416, 38422, 38423, 38423, 38426, 38426, 38428, 38434, 38434, 38437, 38438, 38439, 38444, 38447, 38449, 38450, 38450, 38452, 38453, 38454, 38455, 38456, 38457, 38460, 38464, 38464, 38465, 38468, 38468, 38470, 38471, 38472, 38472, 38472, 38473, 38480, 38482, 38483, 38486, 38489, 38490, 38491, 38491, 38492, 38494, 38496, 38497, 38497, 38497, 38499, 38499, 38499, 38499, 38501, 38502, 38504, 38504, 38505, 38514, 38520, 38521, 38523, 38524, 38524, 38526, 38528, 38532, 38537, 38538, 38538, 38539, 38541, 38543, 38544, 38547, 38547, 38550, 38551, 38557, 38557, 38558, 38559, 38561, 38570, 38573, 38576, 38578, 38578, 38579, 38585, 38585, 38585, 38587, 38587, 38590, 38592, 38593, 38597, 38597, 38597, 38598, 38598, 38604, 38608, 38608, 38608, 38609, 38609, 38610, 38611, 38620, 38620, 38621, 38622, 38624, 38626, 38626, 38627, 38627, 38629, 38633, 38636, 38636, 38637, 38640, 38641, 38644, 38645, 38646, 38650, 38650, 38652, 38652, 38654, 38655, 38657, 38658, 38660, 38665, 38667, 38669, 38672, 38673, 38677, 38679, 38681, 38681, 38682, 38684, 38684, 38684, 38685, 38687, 38687, 38689, 38692, 38692, 38693, 38694, 38695, 38700, 38703, 38705, 38707, 38710, 38710, 38711, 38713, 38716, 38717, 38719, 38720, 38721, 38722, 38730, 38730, 38736, 38736, 38739, 38739, 38740, 38746, 38747, 38750, 38751, 38755, 38760, 38762, 38764, 38765, 38769, 38770, 38770, 38775, 38775, 38777, 38783, 38784, 38784, 38786, 38787, 38788, 38788, 38789, 38790, 38792, 38794, 38795, 38795, 38795, 38797, 38798, 38798, 38799, 38801, 38801, 38801, 38802, 38803, 38803, 38804, 38809, 38811, 38812, 38813, 38814, 38814, 38819, 38823, 38827, 38828, 38828, 38830, 38830, 38832, 38833, 38837, 38839, 38841, 38841, 38845, 38847, 38847, 38848, 38849, 38852, 38855, 38858, 38859, 38863, 38863, 38866, 38866, 38869, 38869, 38875, 38876, 38880, 38881, 38883, 38885, 38891, 38892, 38892, 38896, 38896, 38899, 38904, 38904, 38908, 38908, 38909, 38909, 38913, 38914, 38918, 38918, 38924, 38926, 38926, 38927, 38928, 38936, 38938, 38939, 38939, 38942, 38946, 38946, 38948, 38950, 38955, 38955, 38957, 38960, 38964, 38966, 38966, 38970, 38970, 38972, 38973, 38973, 38973, 38975, 38975, 38975, 38977, 38978, 38979, 38979, 38983, 38983, 38985, 38986, 38989, 38989, 38991, 38998, 39000, 39004, 39007, 39009, 39011, 39012, 39020, 39022, 39025, 39034, 39034, 39035, 39035, 39036, 39041, 39041, 39042, 39042, 39043, 39044, 39047, 39049, 39054, 39056, 39058, 39059, 39060, 39060, 39061, 39065, 39065, 39066, 39070, 39071, 39072, 39072, 39075, 39075, 39075, 39077, 39078, 39079, 39080, 39081, 39084, 39089, 39090, 39091, 39092, 39098, 39107, 39107, 39110, 39111, 39111, 39113, 39114, 39115, 39116, 39118, 39118, 39119, 39122, 39122, 39124, 39136, 39139, 39141, 39142, 39143, 39146, 39147, 39148, 39149, 39152, 39154, 39154, 39155, 39155, 39158, 39162, 39163, 39166, 39167, 39167, 39169, 39173, 39179, 39185, 39185, 39187, 39187, 39187, 39190, 39192, 39195, 39195, 39198, 39204, 39208, 39210, 39211, 39211, 39212, 39214, 39216, 39217, 39218, 39219, 39223, 39223, 39224, 39225, 39226, 39226, 39227, 39227, 39229, 39233, 39236, 39238, 39239, 39241, 39242, 39243, 39244, 39244, 39245, 39246, 39249, 39249, 39250, 39251, 39251, 39251, 39253, 39254, 39255, 39255, 39255, 39261, 39264, 39266, 39270, 39270, 39274, 39275, 39279, 39284, 39286, 39286, 39296, 39300, 39307, 39308, 39310, 39311, 39312, 39314, 39316, 39318, 39320, 39322, 39328, 39329, 39329, 39332, 39332, 39333, 39334, 39337, 39339, 39339, 39341, 39342, 39345, 39348, 39349, 39349, 39351, 39353, 39354, 39355, 39355, 39357, 39358, 39363, 39365, 39369, 39369, 39370, 39373, 39374, 39377, 39384, 39385, 39385, 39386, 39388, 39390, 39393, 39395, 39395, 39397, 39399, 39399, 39400, 39401, 39402, 39404, 39404, 39404, 39404, 39411, 39413, 39415, 39418, 39418, 39419, 39422, 39423, 39426, 39427, 39429, 39430, 39435, 39435, 39438, 39438, 39438, 39440, 39445, 39450, 39451, 39451, 39452, 39455, 39459, 39460, 39460, 39461, 39462, 39462, 39469, 39470, 39471, 39471, 39472, 39477, 39481, 39482, 39484, 39486, 39487, 39488, 39488, 39489, 39489, 39490, 39490, 39492, 39493, 39498, 39498, 39511, 39511, 39512, 39513, 39515, 39516, 39522, 39523, 39524, 39525, 39527, 39527, 39539, 39540, 39541, 39541, 39545, 39546, 39547, 39548, 39549, 39555, 39560, 39560, 39561, 39562, 39564, 39565, 39566, 39572, 39576, 39578, 39581, 39582, 39583, 39584, 39586, 39590, 39591, 39591, 39595, 39596, 39600, 39603, 39603, 39605, 39606, 39607, 39611, 39615, 39616, 39617, 39619, 39620, 39621, 39623, 39627, 39630, 39631, 39632, 39633, 39636, 39637, 39638, 39640, 39644, 39649, 39650, 39651, 39655, 39665, 39669, 39669, 39672, 39673, 39673, 39673, 39677, 39678, 39680, 39689, 39690, 39690, 39692, 39698, 39700, 39700, 39700, 39700, 39700, 39700, 39700, 39701, 39701, 39702, 39703, 39707, 39709, 39711, 39712, 39712, 39714, 39715, 39716, 39717, 39719, 39720, 39722, 39723, 39726, 39727, 39731, 39734, 39736, 39737, 39737, 39737, 39738, 39738, 39739, 39740, 39740, 39741, 39741, 39744, 39745, 39748, 39756, 39757, 39759, 39759, 39760, 39761, 39762, 39763, 39765, 39765, 39765, 39768, 39770, 39772, 39776, 39779, 39784, 39791, 39794, 39795, 39798, 39801, 39802, 39804, 39806, 39811, 39813, 39817, 39818, 39826, 39826, 39827, 39827, 39827, 39829, 39829, 39831, 39835, 39836, 39841, 39845, 39845, 39847, 39847, 39848, 39849, 39853, 39853, 39853, 39858, 39858, 39862, 39862, 39862, 39865, 39866, 39866, 39867, 39877, 39877, 39878, 39886, 39886, 39887, 39888, 39889, 39896, 39900, 39904, 39906, 39908, 39913, 39914, 39914, 39916, 39918, 39921, 39923, 39923, 39923, 39924, 39927, 39929, 39930, 39932, 39932, 39938, 39938, 39939, 39939, 39940, 39940, 39941, 39943, 39944, 39945, 39946, 39948, 39951, 39953, 39955, 39956, 39956, 39956, 39961, 39961, 39962, 39962, 39964, 39965, 39966, 39967, 39970, 39971, 39972, 39974, 39975, 39976, 39982, 39987, 39988, 39989, 39991, 39993, 39998, 39998, 39998, 39999, 39999, 40003, 40003, 40004, 40006, 40011, 40013, 40014, 40019, 40020, 40020, 40022, 40022, 40025, 40026, 40028, 40029, 40033, 40035, 40036, 40036, 40037, 40037, 40045, 40045, 40045, 40047, 40047, 40050, 40051, 40051, 40056, 40057, 40059, 40064, 40065, 40067, 40069, 40071, 40072, 40077, 40081, 40082, 40083, 40085, 40091, 40095, 40095, 40097, 40098, 40102, 40102, 40105, 40105, 40105, 40106, 40106, 40106, 40108, 40109, 40114, 40122, 40123, 40125, 40129, 40131, 40133, 40134, 40135, 40139, 40143, 40144, 40144, 40146, 40148, 40151, 40152, 40155, 40158, 40159, 40161, 40163, 40163, 40166, 40167, 40167, 40168, 40172, 40174, 40176, 40177, 40180, 40181, 40182, 40182, 40182, 40184, 40186, 40187, 40190, 40190, 40192, 40193, 40194, 40197, 40201, 40201, 40205, 40206, 40208, 40208, 40209, 40210, 40217, 40218, 40220, 40223, 40223, 40225, 40227, 40228, 40230, 40230, 40231, 40232, 40233, 40235, 40237, 40239, 40240, 40245, 40245, 40245, 40245, 40247, 40247, 40248, 40253, 40253, 40255, 40260, 40261, 40262, 40264, 40266, 40268, 40270, 40273, 40274, 40275, 40276, 40276, 40279, 40280, 40285, 40289, 40289, 40290, 40290, 40292, 40293, 40293, 40299, 40300, 40301, 40302, 40303, 40304, 40305, 40307, 40311, 40318, 40320, 40321, 40321, 40327, 40327, 40328, 40329, 40329, 40330, 40333, 40334, 40335, 40336, 40339, 40344, 40344, 40345, 40346, 40351, 40351, 40352, 40354, 40355, 40357, 40358, 40359, 40360, 40360, 40364, 40364, 40366, 40367, 40368, 40369, 40370, 40372, 40373, 40374, 40380, 40384, 40385, 40387, 40389, 40389, 40390, 40390, 40391, 40394, 40398, 40399, 40399, 40404, 40405, 40405, 40407, 40409, 40409, 40410, 40412, 40412, 40414, 40414, 40415, 40417, 40422, 40422, 40423, 40425, 40426, 40430, 40430, 40431, 40432, 40432, 40433, 40436, 40437, 40438, 40439, 40440, 40441, 40443, 40444, 40445, 40445, 40446, 40447, 40450, 40450, 40451, 40452, 40452, 40454, 40457, 40459, 40462, 40462, 40463, 40464, 40465, 40465, 40466, 40466, 40471, 40472, 40474, 40475, 40475, 40476, 40477, 40478, 40480, 40480, 40481, 40488, 40489, 40492, 40492, 40493, 40494, 40496, 40497, 40498, 40499, 40500, 40500, 40505, 40507, 40507, 40513, 40513, 40513, 40513, 40515, 40515, 40516, 40517, 40517, 40520, 40520, 40523, 40524, 40524, 40525, 40525, 40529, 40529, 40534, 40535, 40536, 40538, 40539, 40540, 40541, 40544, 40545, 40545, 40549, 40550, 40553, 40557, 40557, 40560, 40562, 40565, 40565, 40565, 40566, 40568, 40569, 40569, 40570, 40570, 40570, 40572, 40577, 40578, 40578, 40580, 40581, 40585, 40592, 40593, 40593, 40595, 40598, 40598, 40599, 40602, 40604, 40605, 40606, 40608, 40612, 40616, 40617, 40618, 40619, 40620, 40621, 40623, 40631, 40631, 40634, 40634, 40636, 40641, 40641, 40643, 40643, 40643, 40644, 40644, 40646, 40648, 40648, 40650, 40651, 40652, 40652, 40655, 40658, 40660, 40664, 40665, 40666, 40666, 40666, 40669, 40671, 40674, 40675, 40677, 40678, 40681, 40688, 40688, 40694, 40694, 40694, 40694, 40696, 40696, 40698, 40703, 40705, 40706, 40707, 40709, 40712, 40713, 40714, 40716, 40718, 40719, 40721, 40722, 40724, 40726, 40728, 40730, 40735, 40739, 40740, 40741, 40744, 40745, 40747, 40747, 40749, 40751, 40751, 40753, 40753, 40758, 40761, 40761, 40764, 40767, 40767, 40769, 40771, 40771, 40772, 40772, 40775, 40777, 40781, 40782, 40784, 40785, 40787, 40791, 40792, 40792, 40795, 40800, 40801, 40806, 40807, 40808, 40808, 40810, 40813, 40814, 40816, 40817, 40818, 40820, 40823, 40823, 40824, 40824, 40824, 40828, 40834, 40835, 40836, 40841, 40842, 40842, 40842, 40842, 40843, 40848, 40851, 40853, 40855, 40857, 40858, 40858, 40860, 40860, 40861, 40862, 40863, 40866, 40868, 40869, 40871, 40873, 40875, 40877, 40878, 40878, 40879, 40886, 40886, 40886, 40887, 40888, 40889, 40890, 40897, 40899, 40901, 40902, 40904, 40904, 40905, 40908, 40909, 40911, 40913, 40914, 40920, 40921, 40922, 40926, 40929, 40929, 40930, 40933, 40933, 40934, 40935, 40935, 40936, 40936, 40937, 40942, 40943, 40948, 40950, 40950, 40951, 40953, 40956, 40959, 40961, 40962, 40962, 40965, 40971, 40973, 40973, 40974, 40976, 40977, 40977, 40982, 40982, 40983, 40983, 40989, 40990, 40991, 40996, 41000, 41001, 41002, 41003, 41004, 41005, 41010, 41012, 41015, 41018, 41020, 41022, 41023, 41025, 41029, 41030, 41032, 41034, 41034, 41035, 41041, 41045, 41047, 41049, 41053, 41058, 41059, 41059, 41060, 41062, 41063, 41064, 41072, 41074, 41075, 41077, 41080, 41081, 41083, 41088, 41089, 41091, 41094, 41096, 41099, 41101, 41107, 41111, 41112, 41112, 41113, 41117, 41118, 41121, 41124, 41124, 41128, 41129, 41132, 41133, 41134, 41135, 41135, 41138, 41141, 41141, 41142, 41143, 41143, 41146, 41147, 41147, 41148, 41148, 41152, 41154, 41154, 41154, 41157, 41158, 41160, 41160, 41164, 41164, 41165, 41166, 41166, 41167, 41168, 41169, 41171, 41178, 41185, 41186, 41186, 41187, 41190, 41195, 41196, 41197, 41203, 41205, 41206, 41207, 41209, 41209, 41213, 41219, 41222, 41223, 41224, 41230, 41230, 41234, 41234, 41236, 41241, 41241, 41241, 41241, 41244, 41247, 41247, 41247, 41248, 41249, 41251, 41252, 41258, 41259, 41259, 41264, 41264, 41272, 41277, 41279, 41280, 41282, 41285, 41286, 41286, 41287, 41291, 41294, 41295, 41298, 41298, 41303, 41306, 41306, 41312, 41313, 41314, 41314, 41318, 41322, 41323, 41325, 41326, 41326, 41329, 41330, 41332, 41332, 41333, 41334, 41334, 41336, 41340, 41341, 41343, 41347, 41348, 41348, 41348, 41349, 41351, 41353, 41357, 41359, 41361, 41367, 41368, 41371, 41372, 41372, 41372, 41377, 41379, 41380, 41382, 41387, 41388, 41388, 41390, 41391, 41397, 41400, 41400, 41401, 41403, 41404, 41405, 41407, 41408, 41409, 41411, 41415, 41418, 41419, 41420, 41420, 41421, 41421, 41424, 41424, 41425, 41432, 41435, 41435, 41435, 41438, 41439, 41441, 41442, 41443, 41446, 41448, 41453, 41454, 41455, 41455, 41456, 41456, 41459, 41461, 41463, 41463, 41465, 41467, 41471, 41475, 41476, 41477, 41477, 41477, 41477, 41480, 41480, 41482, 41486, 41488, 41492, 41493, 41495, 41495, 41498, 41500, 41507, 41508, 41510, 41513, 41515, 41520, 41524, 41525, 41532, 41532, 41535, 41536, 41537, 41541, 41543, 41545, 41548, 41553, 41555, 41557, 41557, 41557, 41558, 41558, 41561, 41564, 41566, 41567, 41568, 41568, 41569, 41570, 41572, 41583, 41587, 41588, 41589, 41591, 41594, 41595, 41604, 41606, 41610, 41612, 41612, 41612, 41613, 41614, 41615, 41616, 41616, 41616, 41619, 41621, 41621, 41622, 41623, 41627, 41628, 41629, 41630, 41630, 41633, 41635, 41635, 41637, 41638, 41642, 41643, 41645, 41648, 41653, 41654, 41656, 41657, 41657, 41658, 41658, 41660, 41663, 41663, 41665, 41666, 41669, 41670, 41672, 41674, 41679, 41683, 41684, 41685, 41692, 41693, 41693, 41694, 41694, 41696, 41698, 41698, 41700, 41701, 41702, 41702, 41705, 41706, 41706, 41707, 41711, 41711, 41711, 41712, 41713, 41717, 41722, 41722, 41723, 41724, 41724, 41727, 41728, 41729, 41729, 41729, 41732, 41735, 41736, 41737, 41740, 41743, 41744, 41747, 41747, 41748, 41749, 41752, 41754, 41754, 41754, 41755, 41756, 41764, 41764, 41765, 41765, 41766, 41766, 41766, 41769, 41773, 41774, 41777, 41779, 41780, 41780, 41781, 41781, 41781, 41782, 41788, 41789, 41790, 41793, 41794, 41799, 41799, 41800, 41800, 41801, 41804, 41805, 41805, 41806, 41808, 41808, 41810, 41813, 41814, 41815, 41817, 41819, 41821, 41821, 41822, 41823, 41824, 41825, 41827, 41827, 41828, 41829, 41829, 41831, 41834, 41836, 41838, 41839, 41844, 41847, 41849, 41851, 41852, 41852, 41852, 41852, 41857, 41858, 41858, 41859, 41859, 41860, 41860, 41861, 41863, 41864, 41864, 41865, 41866, 41868, 41869, 41871, 41871, 41875, 41875, 41876, 41877, 41880, 41881, 41881, 41881, 41882, 41891, 41892, 41895, 41897, 41902, 41903, 41904, 41911, 41912, 41913, 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84107, 84109, 84112, 84113, 84113, 84116, 84116, 84118, 84118, 84120, 84120, 84120, 84121, 84121, 84124, 84127, 84127, 84132, 84134, 84134, 84137, 84137, 84137, 84138, 84141, 84143, 84145, 84145, 84145, 84145, 84153, 84155, 84160, 84161, 84164, 84165, 84165, 84167, 84169, 84170, 84170, 84171, 84173, 84174, 84176, 84177, 84180, 84181, 84185, 84187, 84188, 84188, 84191, 84192, 84192, 84194, 84194, 84194, 84198, 84203, 84207, 84208, 84210, 84211, 84213, 84213, 84217, 84218, 84228, 84228, 84230, 84232, 84233, 84234, 84236, 84239, 84239, 84240, 84241, 84242, 84243, 84245, 84248, 84250, 84252, 84255, 84257, 84258, 84259, 84261, 84261, 84267, 84272, 84274, 84274, 84275, 84275, 84280, 84284, 84290, 84290, 84295, 84295, 84296, 84297, 84298, 84298, 84298, 84303, 84305, 84305, 84305, 84308, 84310, 84311, 84312, 84312, 84315, 84315, 84316, 84317, 84320, 84320, 84324, 84324, 84326, 84326, 84327, 84330, 84331, 84331, 84331, 84333, 84333, 84333, 84334, 84335, 84343, 84343, 84343, 84343, 84350, 84351, 84354, 84356, 84357, 84359, 84359, 84360, 84361, 84366, 84369, 84370, 84370, 84373, 84373, 84374, 84377, 84380, 84382, 84388, 84390, 84390, 84392, 84394, 84395, 84395, 84396, 84396, 84397, 84398, 84398, 84399, 84402, 84403, 84404, 84405, 84414, 84414, 84416, 84418, 84419, 84421, 84422, 84422, 84425, 84425, 84425, 84430, 84431, 84433, 84435, 84438, 84439, 84441, 84445, 84447, 84449, 84451, 84451, 84452, 84453, 84455, 84456, 84459, 84459, 84462, 84463, 84465, 84466, 84467, 84470, 84470, 84471, 84474, 84474, 84474, 84476, 84477, 84478, 84479, 84479, 84481, 84481, 84482, 84483, 84488, 84491, 84491, 84493, 84498, 84500, 84505, 84507, 84507, 84508, 84510, 84510, 84510, 84512, 84512, 84516, 84517, 84517, 84519, 84520, 84521, 84521, 84523, 84533, 84536, 84542, 84543, 84544, 84545, 84546, 84551, 84553, 84555, 84556, 84556, 84557, 84558, 84560, 84561, 84562, 84564, 84565, 84567, 84568, 84569, 84573, 84573, 84574, 84574, 84575, 84575, 84576, 84577, 84579, 84579, 84582, 84584, 84586, 84588, 84589, 84590, 84590, 84600, 84605, 84608, 84608, 84616, 84621, 84621, 84622, 84624, 84628, 84629, 84630, 84631, 84631, 84637, 84640, 84641, 84644, 84644, 84645, 84646, 84649, 84649, 84649, 84651, 84651, 84653, 84653, 84658, 84658, 84658, 84659, 84661, 84664, 84666, 84669, 84669, 84670, 84670, 84671, 84676, 84679, 84681, 84684, 84685, 84685, 84689, 84689, 84689, 84691, 84693, 84695, 84698, 84698, 84700, 84701, 84703, 84704, 84705, 84706, 84709, 84709, 84710, 84712, 84714, 84720, 84723, 84724, 84724, 84725, 84727, 84727, 84729, 84732, 84732, 84733, 84736, 84736, 84739, 84739, 84739, 84740, 84740, 84740, 84749, 84751, 84753, 84755, 84755, 84757, 84762, 84763, 84765, 84765, 84766, 84766, 84766, 84769, 84774, 84774, 84776, 84779, 84780, 84783, 84785, 84786, 84786, 84786, 84786, 84786, 84787, 84788, 84788, 84792, 84792, 84794, 84795, 84796, 84801, 84802, 84805, 84807, 84809, 84818, 84821, 84825, 84825, 84825, 84825, 84830, 84836, 84839, 84839, 84841, 84842, 84843, 84845, 84846, 84848, 84848, 84851, 84852, 84852, 84854, 84856, 84857, 84858, 84860, 84860, 84863, 84864, 84864, 84864, 84866, 84868, 84877, 84879, 84879, 84882, 84883, 84884, 84887, 84889, 84889, 84891, 84897, 84899, 84900, 84900, 84908, 84911, 84911, 84917, 84921, 84921, 84923, 84923, 84924, 84926, 84926, 84928, 84930, 84934, 84935, 84939, 84941, 84945, 84946, 84949, 84951, 84955, 84957, 84958, 84962, 84962, 84964, 84967, 84967, 84967, 84968, 84969, 84974, 84975, 84975, 84977, 84978, 84979, 84980, 84982, 84983, 84983, 84984, 84985, 84988, 84988, 84997, 85000, 85001, 85002, 85005, 85005, 85005, 85006, 85006, 85011, 85016, 85021, 85021, 85022, 85023, 85025, 85030, 85030, 85030, 85031, 85031, 85034, 85037, 85037, 85041, 85041, 85042, 85042, 85043, 85045, 85046, 85048, 85051, 85052, 85059, 85059, 85061, 85062, 85064, 85066, 85068, 85069, 85070, 85072, 85072, 85074, 85075, 85077, 85078, 85080, 85081, 85081, 85082, 85083, 85084, 85086, 85087, 85087, 85087, 85089, 85091, 85094, 85095, 85101, 85105, 85111, 85113, 85115, 85115, 85115, 85115, 85116, 85118, 85119, 85120, 85120, 85122, 85123, 85123, 85123, 85123, 85127, 85128, 85129, 85131, 85131, 85131, 85135, 85135, 85140, 85141, 85141, 85143, 85144, 85147, 85148, 85149, 85152, 85154, 85157, 85158, 85159, 85159, 85160, 85164, 85167, 85169, 85170, 85170, 85171, 85174, 85176, 85177, 85179, 85181, 85181, 85183, 85184, 85185, 85186, 85187, 85188, 85189, 85191, 85192, 85192, 85194, 85195, 85195, 85196, 85199, 85200, 85200, 85200, 85202, 85202, 85202, 85204, 85205, 85206, 85207, 85207, 85209, 85211, 85212, 85215, 85218, 85219, 85226, 85226, 85226, 85227, 85229, 85231, 85232, 85234, 85237, 85237, 85241, 85242, 85243, 85244, 85246, 85249, 85249, 85251, 85251, 85254, 85255, 85260, 85260, 85265, 85267, 85270, 85270, 85271, 85271, 85272, 85274, 85276, 85276, 85276, 85279, 85280, 85281, 85281, 85282, 85282, 85284, 85287, 85288, 85288, 85289, 85294, 85295, 85295, 85296, 85297, 85298, 85299, 85300, 85302, 85305, 85305, 85305, 85305, 85306, 85307, 85307, 85307, 85309, 85310, 85310, 85313, 85317, 85319, 85321, 85326, 85327, 85331, 85331, 85334, 85337, 85338, 85339, 85340, 85342, 85342, 85343, 85344, 85344, 85345, 85345, 85350, 85358, 85362, 85365, 85369, 85372, 85372, 85374, 85375, 85376, 85376, 85379, 85383, 85386, 85387, 85387, 85388, 85389, 85390, 85392, 85392, 85393, 85395, 85395, 85397, 85397, 85397, 85399, 85401, 85403, 85403, 85403, 85403, 85403, 85404, 85404, 85406, 85406, 85408, 85412, 85422, 85423, 85424, 85425, 85426, 85426, 85428, 85428, 85436, 85439, 85440, 85441, 85443, 85445, 85446, 85447, 85449, 85453, 85454, 85463, 85465, 85470, 85471, 85473, 85475, 85476, 85479, 85480, 85481, 85485, 85486, 85488, 85495, 85496, 85497, 85502, 85503, 85507, 85507, 85508, 85510, 85510, 85514, 85515, 85517, 85517, 85518, 85519, 85521, 85523, 85526, 85528, 85531, 85532, 85534, 85537, 85542, 85543, 85543, 85544, 85546, 85549, 85552, 85554, 85555, 85556, 85557, 85558, 85559, 85559, 85567, 85567, 85569, 85569, 85574, 85574, 85577, 85577, 85579, 85584, 85588, 85591, 85592, 85594, 85595, 85596, 85597, 85600, 85600, 85603, 85617, 85620, 85621, 85622, 85623, 85625, 85626, 85626, 85628, 85629, 85630, 85631, 85633, 85634, 85635, 85637, 85640, 85642, 85647, 85649, 85650, 85652, 85654, 85654, 85656, 85656, 85659, 85661, 85662, 85665, 85666, 85668, 85672, 85672, 85673, 85675, 85675, 85675, 85680, 85681, 85682, 85686, 85687, 85696, 85697, 85697, 85697, 85699, 85704, 85704, 85705, 85706, 85707, 85707, 85708, 85708, 85709, 85710, 85712, 85714, 85716, 85723, 85723, 85723, 85724, 85725, 85726, 85726, 85726, 85731, 85732, 85733, 85734, 85735, 85737, 85737, 85745, 85750, 85752, 85754, 85756, 85757, 85758, 85758, 85765, 85770, 85772, 85772, 85775, 85776, 85780, 85780, 85781, 85788, 85790, 85790, 85790, 85791, 85791, 85793, 85794, 85797, 85797, 85799, 85800, 85800, 85801, 85803, 85803, 85804, 85806, 85809, 85809, 85810, 85811, 85812, 85814, 85815, 85818, 85818, 85819, 85820, 85824, 85825, 85827, 85827, 85829, 85829, 85831, 85831, 85832, 85833, 85833, 85834, 85834, 85842, 85852, 85856, 85858, 85861, 85861, 85862, 85862, 85862, 85862, 85863, 85863, 85864, 85865, 85867, 85871, 85873, 85874, 85881, 85883, 85884, 85884, 85885, 85885, 85890, 85892, 85893, 85894, 85894, 85895, 85895, 85896, 85901, 85902, 85902, 85902, 85905, 85908, 85911, 85913, 85915, 85915, 85916, 85917, 85917, 85919, 85919, 85922, 85923, 85926, 85927, 85928, 85931, 85932, 85934, 85935, 85937, 85938, 85939, 85942, 85943, 85945, 85947, 85950, 85950, 85952, 85952, 85953, 85955, 85956, 85958, 85960, 85961, 85963, 85963, 85964, 85964, 85968, 85971, 85973, 85980, 85982, 85982, 85983, 85983, 85984, 85984, 85985, 85987, 85987, 85988, 85988, 85990, 85993, 85995, 85995, 85997, 86002, 86002),86004), 0) + } + + test("test10") { + assertEquals(Main.minimumAddedCoins(List(3, 6, 7, 8, 8, 10, 11, 11, 12, 12, 16, 17, 18, 20, 22, 22, 22, 23, 26, 27, 29, 30, 31, 32, 36, 37, 38, 39, 40, 40, 40, 41, 41, 42, 44, 45, 46, 47, 49, 49, 49, 50, 60, 64, 64, 64, 67, 69, 70, 71, 72, 72, 78, 78, 79, 79, 80, 80, 80, 81, 82, 82, 84, 84, 86, 88, 89, 90, 93, 93, 94, 95, 99, 99, 101, 103, 104, 105, 106, 107, 108, 109, 109, 109, 110, 112, 113, 114, 114, 114, 116, 116, 120, 121, 121, 121, 122, 123, 124, 124, 125, 126, 126, 132, 132, 133, 134, 135, 136, 137, 139, 139, 139, 141, 142, 142, 143, 147, 148, 149, 149, 149, 149, 150, 151, 152, 152, 154, 155, 157, 157, 161, 163, 164, 167, 167, 168, 170, 170, 170, 171, 172, 174, 176, 177, 177, 181, 181, 181, 181, 182, 183, 184, 185, 185, 185, 185, 191, 191, 192, 194, 198, 199, 201, 202, 203, 204, 204, 205, 207, 208, 209, 210, 214, 215, 216, 217, 219, 219, 219, 220, 221, 226, 229, 233, 234, 235, 235, 236, 238, 238, 238, 238, 239, 240, 241, 245, 246, 248, 249, 249, 257, 257, 260, 261, 262, 263, 263, 264, 269, 271, 271, 271, 273, 276, 276, 276, 276, 278, 278, 278, 278, 281, 281, 283, 285, 286, 286, 288, 289, 290, 292, 292, 293, 294, 297, 300, 301, 302, 302, 303, 303, 305, 306, 307, 308, 310, 314, 318, 318, 320, 320, 320, 320, 321, 325, 325, 326, 327, 329, 331, 331, 332, 333, 334, 335, 339, 341, 342, 342, 343, 347, 348, 349, 349, 350, 354, 355, 356, 356, 357, 358, 358, 358, 360, 364, 369, 369, 370, 371, 371, 371, 373, 373, 376, 377, 377, 378, 379, 381, 381, 382, 384, 384, 384, 387, 387, 388, 390, 393, 394, 395, 395, 395, 397, 399, 399, 401, 401, 402, 406, 410, 410, 412, 412, 412, 413, 415, 418, 418, 420, 421, 424, 426, 427, 427, 427, 428, 428, 428, 429, 431, 431, 432, 432, 434, 438, 439, 440, 441, 441, 443, 444, 448, 450, 450, 451, 451, 452, 452, 452, 453, 454, 455, 456, 457, 459, 460, 460, 462, 462, 463, 464, 465, 465, 465, 465, 467, 468, 470, 472, 473, 477, 479, 480, 483, 483, 485, 485, 486, 487, 488, 489, 490, 491, 491, 492, 492, 495, 497, 498, 499, 499, 499, 501, 502, 502, 503, 503, 505, 505, 505, 508, 508, 508, 510, 511, 513, 516, 517, 519, 520, 520, 520, 521, 521, 522, 522, 524, 526, 526, 526, 527, 528, 528, 529, 529, 530, 530, 531, 532, 532, 537, 537, 538, 539, 540, 540, 541, 542, 543, 546, 547, 548, 548, 548, 550, 553, 555, 556, 557, 558, 558, 559, 560, 561, 561, 563, 564, 565, 567, 568, 569, 570, 570, 571, 573, 574, 574, 577, 579, 582, 583, 583, 584, 589, 591, 592, 592, 592, 593, 595, 595, 597, 598, 598, 600, 602, 603, 603, 605, 606, 607, 607, 614, 615, 616, 617, 617, 618, 618, 619, 622, 622, 622, 622, 623, 627, 627, 628, 631, 632, 633, 633, 633, 636, 638, 639, 639, 639, 640, 641, 642, 644, 645, 647, 649, 650, 651, 651, 654, 655, 655, 656, 656, 657, 658, 662, 662, 662, 663, 663, 665, 667, 667, 672, 673, 673, 673, 675, 677, 677, 679, 679, 680, 680, 681, 682, 683, 684, 686, 688, 688, 690, 690, 694, 696, 701, 702, 702, 703, 704, 706, 709, 710, 710, 711, 711, 711, 711, 712, 713, 714, 714, 717, 717, 717, 719, 720, 723, 725, 726, 728, 728, 729, 729, 731, 732, 732, 735, 735, 736, 736, 736, 736, 738, 740, 743, 744, 745, 746, 747, 747, 749, 749, 750, 750, 752, 754, 755, 755, 756, 757, 759, 761, 762, 767, 768, 768, 769, 769, 769, 770, 771, 776, 778, 779, 779, 779, 780, 781, 782, 782, 783, 783, 786, 786, 789, 789, 790, 792, 793, 794, 794, 795, 797, 797, 798, 798, 799, 800, 801, 802, 802, 803, 804, 804, 806, 807, 807, 807, 810, 812, 814, 816, 817, 817, 819, 819, 820, 821, 822, 823, 824, 825, 826, 827, 827, 828, 828, 828, 829, 829, 834, 834, 836, 839, 839, 841, 841, 842, 844, 844, 847, 853, 853, 853, 854, 855, 856, 858, 859, 859, 860, 861, 863, 863, 863, 865, 866, 868, 869, 870, 871, 871, 872, 872, 872, 876, 878, 878, 879, 880, 880, 881, 882, 883, 884, 885, 885, 886, 889, 889, 891, 893, 893, 898, 900, 902, 904, 904, 907, 907, 908, 914, 915, 918, 918, 919, 919, 920, 922, 923, 925, 925, 926, 927, 928, 929, 929, 931, 932, 933, 933, 935, 937, 939, 941, 941, 942, 944, 945, 948, 948, 948, 949, 949, 949, 951, 952, 952, 953, 954, 957, 957, 957, 957, 959, 960, 964, 966, 968, 970, 972, 973, 976, 977, 979, 979, 979, 980, 980, 980, 985, 985, 986, 987, 987, 989, 990, 993, 996, 996, 996, 997, 998, 998, 1000, 1002, 1005, 1005, 1006, 1006, 1007, 1008, 1008, 1009, 1011, 1012, 1012, 1015, 1016, 1016, 1020, 1023, 1024, 1024, 1024, 1025, 1027, 1027, 1029, 1029, 1030, 1030, 1030, 1031, 1032, 1034, 1034, 1035, 1035, 1037, 1038, 1039, 1041, 1042, 1044, 1047, 1047, 1047, 1048, 1049, 1049, 1051, 1051, 1054, 1057, 1058, 1058, 1059, 1060, 1060, 1061, 1063, 1063, 1063, 1065, 1066, 1066, 1066, 1066, 1067, 1069, 1069, 1069, 1069, 1070, 1070, 1075, 1075, 1076, 1076, 1077, 1077, 1077, 1080, 1080, 1082, 1083, 1084, 1085, 1093, 1093, 1093, 1096, 1096, 1098, 1098, 1101, 1101, 1101, 1102, 1102, 1103, 1104, 1104, 1106, 1107, 1107, 1107, 1108, 1109, 1110, 1110, 1111, 1114, 1114, 1115, 1120, 1120, 1121, 1125, 1127, 1128, 1130, 1130, 1131, 1132, 1132, 1132, 1133, 1133, 1138, 1138, 1139, 1139, 1140, 1140, 1140, 1143, 1145, 1145, 1145, 1145, 1147, 1148, 1149, 1153, 1154, 1157, 1157, 1159, 1162, 1166, 1166, 1167, 1167, 1168, 1173, 1174, 1177, 1178, 1178, 1179, 1180, 1181, 1181, 1182, 1183, 1188, 1190, 1195, 1196, 1197, 1198, 1199, 1204, 1204, 1208, 1208, 1210, 1211, 1212, 1212, 1213, 1216, 1216, 1221, 1222, 1222, 1223, 1228, 1229, 1229, 1232, 1232, 1233, 1234, 1234, 1235, 1235, 1236, 1236, 1237, 1237, 1238, 1239, 1240, 1241, 1243, 1246, 1247, 1247, 1248, 1248, 1249, 1249, 1249, 1251, 1253, 1254, 1255, 1257, 1258, 1260, 1261, 1264, 1266, 1266, 1267, 1271, 1271, 1272, 1272, 1277, 1277, 1277, 1278, 1279, 1280, 1281, 1282, 1285, 1285, 1286, 1287, 1287, 1287, 1289, 1291, 1292, 1294, 1294, 1296, 1296, 1299, 1302, 1302, 1303, 1303, 1303, 1306, 1306, 1306, 1308, 1310, 1310, 1311, 1311, 1311, 1312, 1312, 1312, 1312, 1314, 1315, 1319, 1320, 1322, 1322, 1323, 1323, 1324, 1324, 1325, 1325, 1326, 1326, 1327, 1328, 1330, 1330, 1333, 1337, 1338, 1338, 1339, 1342, 1343, 1344, 1347, 1348, 1350, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1355, 1356, 1356, 1357, 1359, 1361, 1364, 1364, 1369, 1370, 1370, 1372, 1374, 1374, 1374, 1374, 1375, 1375, 1376, 1377, 1380, 1381, 1383, 1383, 1384, 1384, 1390, 1390, 1392, 1393, 1398, 1399, 1399, 1401, 1403, 1404, 1404, 1406, 1408, 1408, 1409, 1410, 1412, 1412, 1412, 1413, 1414, 1417, 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38613, 38613, 38614, 38615, 38616, 38620, 38621, 38621, 38622, 38624, 38627, 38627, 38629, 38629, 38630, 38633, 38635, 38635, 38636, 38637, 38639, 38641, 38645, 38645, 38646, 38646, 38648, 38648, 38648, 38652, 38655, 38657, 38657, 38658, 38659, 38660, 38662, 38663, 38671, 38671, 38671, 38673, 38673, 38674, 38676, 38677, 38678, 38679, 38681, 38683, 38683, 38685, 38685, 38686, 38688, 38688, 38691, 38692, 38692, 38694, 38694, 38698, 38701, 38702, 38703, 38703, 38703, 38704, 38707, 38707, 38707, 38710, 38710, 38712, 38712, 38712, 38713, 38715, 38716, 38716, 38718, 38719, 38720, 38721, 38721, 38723, 38724, 38725, 38726, 38729, 38729, 38730, 38731, 38731, 38731, 38731, 38732, 38734, 38736, 38739, 38741, 38741, 38744, 38744, 38744, 38744, 38744, 38745, 38745, 38745, 38746, 38747, 38748, 38749, 38756, 38757, 38758, 38760, 38760, 38762, 38762, 38763, 38764, 38764, 38764, 38765, 38766, 38767, 38768, 38770, 38772, 38773, 38773, 38776, 38776, 38777, 38779, 38779, 38779, 38781, 38781, 38782, 38783, 38783, 38783, 38784, 38785, 38787, 38787, 38788, 38788, 38788, 38789, 38790, 38791, 38791, 38792, 38793, 38794, 38794, 38795, 38795, 38795, 38797, 38798, 38801, 38801, 38802, 38803, 38804, 38806, 38806, 38807, 38807, 38808, 38810, 38810, 38811, 38811, 38812, 38814, 38815, 38816, 38816, 38818, 38819, 38822, 38822, 38823, 38826, 38826, 38827, 38828, 38828, 38829, 38831, 38832, 38833, 38835, 38837, 38839, 38840, 38841, 38841, 38842, 38845, 38845, 38846, 38846, 38847, 38847, 38847, 38850, 38851, 38851, 38851, 38851, 38852, 38853, 38853, 38857, 38857, 38857, 38860, 38862, 38862, 38864, 38865, 38868, 38869, 38872, 38873, 38875, 38876, 38879, 38880, 38880, 38886, 38887, 38887, 38887, 38888, 38888, 38888, 38889, 38890, 38891, 38897, 38898, 38898, 38900, 38901, 38902, 38904, 38904, 38906, 38907, 38907, 38909, 38911, 38913, 38913, 38914, 38914, 38914, 38915, 38919, 38922, 38923, 38923, 38924, 38926, 38927, 38928, 38929, 38930, 38930, 38933, 38936, 38937, 38938, 38939, 38939, 38941, 38942, 38943, 38947, 38948, 38949, 38949, 38949, 38950, 38950, 38951, 38952, 38952, 38952, 38954, 38954, 38956, 38956, 38959, 38961, 38961, 38962, 38962, 38966, 38969, 38971, 38972, 38972, 38974, 38975, 38975, 38976, 38976, 38976, 38977, 38977, 38978, 38978, 38979, 38979, 38981, 38981, 38982, 38982, 38982, 38983, 38984, 38987, 38987, 38989, 38990, 38990, 38992, 38995, 38995, 38995, 38996, 38996, 38997, 38997, 38998, 38999, 39000, 39000, 39000, 39001, 39002, 39002, 39003, 39003, 39004, 39007, 39010, 39014, 39017, 39020, 39021, 39021, 39022, 39023, 39023, 39023, 39026, 39026, 39026, 39027, 39030, 39032, 39032, 39033, 39035, 39036, 39038, 39039, 39040, 39041, 39042, 39042, 39043, 39044, 39046, 39047, 39048, 39049, 39051, 39054, 39056, 39056, 39058, 39060, 39062, 39062, 39063, 39063, 39065, 39067, 39069, 39070, 39070, 39074, 39075, 39077, 39077, 39078, 39080, 39082, 39082, 39084, 39084, 39086, 39088, 39088, 39089, 39090, 39091, 39092, 39092, 39092, 39094, 39094, 39095, 39095, 39096, 39097, 39098, 39098, 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39265, 39269, 39271, 39271, 39272, 39274, 39277, 39277, 39277, 39277, 39282, 39282, 39284, 39286, 39286, 39289, 39289, 39290, 39291, 39293, 39295, 39295, 39296, 39298, 39299, 39300, 39302, 39302, 39304, 39304, 39305, 39305, 39306, 39306, 39307, 39312, 39314, 39316, 39316, 39320, 39321, 39324, 39325, 39325, 39325, 39326, 39326, 39330, 39333, 39333, 39334, 39335, 39340, 39342, 39343, 39344, 39345, 39345, 39346, 39346, 39347, 39347, 39348, 39348, 39349, 39350, 39351, 39351, 39351, 39352, 39353, 39356, 39357, 39358, 39359, 39359, 39360, 39360, 39361, 39363, 39364, 39367, 39367, 39370, 39372, 39378, 39379, 39383, 39385, 39387, 39387, 39388, 39388, 39388, 39389, 39389, 39390, 39390, 39392, 39394, 39395, 39397, 39397, 39398, 39400, 39400, 39401, 39405, 39406, 39406, 39407, 39407, 39407, 39408, 39408, 39410, 39412, 39413, 39413, 39414, 39415, 39416, 39416, 39420, 39420, 39420, 39421, 39422, 39424, 39425, 39425, 39426, 39427, 39428, 39434, 39434, 39435, 39438, 39438, 39439, 39441, 39443, 39443, 39447, 39447, 39449, 39451, 39452, 39453, 39453, 39453, 39453, 39456, 39456, 39457, 39457, 39457, 39458, 39461, 39462, 39467, 39467, 39469, 39470, 39471, 39472, 39472, 39473, 39473, 39473, 39475, 39475, 39476, 39477, 39477, 39477, 39478, 39481, 39484, 39484, 39484, 39485, 39485, 39487, 39488, 39491, 39491, 39492, 39493, 39493, 39496, 39496, 39497, 39498, 39498, 39499, 39500, 39500, 39500, 39501, 39503, 39503, 39506, 39506, 39509, 39510, 39510, 39511, 39511, 39511, 39512, 39513, 39514, 39516, 39517, 39520, 39521, 39523, 39524, 39525, 39526, 39527, 39528, 39529, 39530, 39530, 39530, 39530, 39533, 39533, 39535, 39536, 39537, 39537, 39537, 39538, 39539, 39539, 39540, 39540, 39542, 39543, 39548, 39551, 39555, 39555, 39556, 39556, 39557, 39557, 39558, 39559, 39559, 39562, 39562, 39568, 39570, 39573, 39574, 39577, 39579, 39581, 39582, 39582, 39582, 39583, 39586, 39588, 39588, 39589, 39591, 39591, 39591, 39591, 39592, 39593, 39593, 39594, 39594, 39594, 39595, 39596, 39597, 39597, 39600, 39601, 39601, 39603, 39603, 39604, 39605, 39606, 39607, 39607, 39610, 39611, 39611, 39614, 39615, 39615, 39616, 39622, 39623, 39624, 39625, 39627, 39628, 39629, 39630, 39631, 39634, 39636, 39636, 39638, 39639, 39641, 39642, 39643, 39645, 39645, 39646, 39646, 39647, 39647, 39647, 39647, 39647, 39647, 39648, 39649, 39649, 39649, 39650, 39650, 39651, 39652, 39652, 39654, 39655, 39656, 39657, 39658, 39658, 39660, 39660, 39666, 39667, 39669, 39670, 39671, 39672, 39674, 39675, 39675, 39675, 39676, 39676, 39676, 39676, 39677, 39678, 39680, 39680, 39682, 39683, 39683, 39684, 39684, 39685, 39688, 39689, 39690, 39690, 39691, 39693, 39694, 39695, 39695, 39696, 39696, 39698, 39701, 39704, 39705, 39706, 39706, 39708, 39708, 39708, 39709, 39709, 39711, 39711, 39715, 39715, 39716, 39717, 39717, 39719, 39719, 39720, 39720, 39721, 39724, 39724, 39726, 39727, 39728, 39730, 39730, 39731, 39732, 39734, 39734, 39735, 39736, 39736, 39738, 39740, 39740, 39741, 39741, 39741, 39741, 39741, 39743, 39743, 39745, 39745, 39745, 39746, 39746, 39750, 39752, 39753, 39754, 39755, 39755, 39755, 39758, 39758, 39759, 39761, 39767, 39767, 39773, 39773, 39773, 39774, 39775, 39776, 39779, 39780, 39782, 39782, 39784, 39785, 39786, 39788, 39794, 39794, 39794, 39798, 39801, 39801, 39802, 39802, 39802, 39806, 39810, 39811, 39811, 39813, 39813, 39814, 39814, 39814, 39814, 39815, 39816, 39816, 39816, 39817, 39817, 39818, 39818, 39819, 39819, 39820, 39825, 39826, 39827, 39829, 39829, 39832, 39833, 39835, 39837, 39837, 39838, 39838, 39838, 39838, 39839, 39839, 39839, 39839, 39841, 39844, 39845, 39846, 39848, 39849, 39849, 39851, 39853, 39854, 39855, 39857, 39858, 39858, 39858, 39859, 39859, 39860, 39860, 39860, 39861, 39862, 39862, 39865, 39865, 39866, 39867, 39867, 39869, 39869, 39871, 39871, 39872, 39873, 39873, 39874, 39875, 39876, 39877, 39878, 39879, 39881, 39883, 39884, 39885, 39885, 39885, 39887, 39890, 39893, 39893, 39894, 39894, 39895, 39896, 39897, 39898, 39898, 39900, 39901, 39901, 39902, 39902, 39903, 39903, 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40278, 40279, 40280, 40282, 40283, 40283, 40285, 40286, 40286, 40286, 40289, 40290, 40290, 40290, 40291, 40292, 40292, 40293, 40294, 40294, 40295, 40295, 40299, 40299, 40299, 40301, 40302, 40302, 40303, 40304, 40305, 40305, 40305, 40306, 40308, 40308, 40309, 40309, 40310, 40311, 40312, 40312, 40312, 40314, 40315, 40315, 40316, 40318, 40320, 40323, 40323, 40324, 40325, 40325, 40329, 40330, 40330, 40333, 40333, 40335, 40338, 40338, 40339, 40340, 40341, 40342, 40342, 40344, 40344, 40345, 40346, 40347, 40347, 40348, 40348, 40349, 40352, 40353, 40354, 40355, 40356, 40356, 40357, 40359, 40359, 40361, 40363, 40363, 40364, 40364, 40364, 40366, 40368, 40368, 40372, 40373, 40373, 40374, 40374, 40375, 40377, 40377, 40380, 40381, 40383, 40384, 40385, 40387, 40387, 40391, 40392, 40395, 40396, 40396, 40397, 40401, 40404, 40406, 40407, 40407, 40410, 40411, 40412, 40414, 40415, 40415, 40416, 40416, 40417, 40417, 40417, 40418, 40421, 40425, 40426, 40427, 40427, 40427, 40428, 40429, 40430, 40431, 40431, 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87463, 87464, 87465, 87465, 87466, 87469, 87473, 87475, 87475, 87475, 87477, 87478, 87479, 87479, 87480, 87481, 87482, 87482, 87484, 87485, 87488, 87490, 87492, 87492, 87493, 87493, 87494, 87496, 87498, 87498, 87498, 87500, 87501, 87503, 87504, 87505, 87507, 87509, 87510, 87511, 87512, 87513, 87514, 87515, 87515, 87515, 87517, 87520, 87522, 87522, 87523, 87527),87527), 2) + } + +} diff --git a/minimum_number_of_groups_to_create_a_valid_assignment/haskell_tests/Main.hs b/minimum_number_of_groups_to_create_a_valid_assignment/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..fc8a0aedbb305a59eedbcc7f89e138a09b42d488 --- /dev/null +++ b/minimum_number_of_groups_to_create_a_valid_assignment/haskell_tests/Main.hs @@ -0,0 +1,41 @@ + +module Main where +import Test.HUnit + +--Program start +minGroupsForValidAssignment :: [Int] -> Int +minGroupsForValidAssignment balls = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minGroupsForValidAssignment [3,2,3,2,3])," 2 (minGroupsForValidAssignment [3,2,3,2,3])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minGroupsForValidAssignment [10,10,10,3,1,1])," 4 (minGroupsForValidAssignment [10,10,10,3,1,1])) + +test3 :: Test +test3 = TestCase (assertEqual "for (minGroupsForValidAssignment [1])," 1 (minGroupsForValidAssignment [1])) + +test4 :: Test +test4 = TestCase (assertEqual "for (minGroupsForValidAssignment [1, 1, 1, 1, 1])," 1 (minGroupsForValidAssignment [1, 1, 1, 1, 1])) + +test5 :: Test +test5 = TestCase (assertEqual "for (minGroupsForValidAssignment [5, 10, 3, 8, 6, 1, 10, 2, 3, 7, 3, 9, 3, 6, 8, 9, 1, 1])," 11 (minGroupsForValidAssignment [5, 10, 3, 8, 6, 1, 10, 2, 3, 7, 3, 9, 3, 6, 8, 9, 1, 1])) + +test6 :: Test +test6 = TestCase (assertEqual "for (minGroupsForValidAssignment [328489075, 777448661, 485716181, 562536635, 394852677, 735230797, 989377182, 202572337, 865848916, 378367776, 473686237, 930647901, 695503056, 21701240, 127622816, 684511019, 861783268, 583525296, 666685682, 311863566, 156815124, 544592291, 41449164, 994827476, 911228444, 978943546, 95938631, 913250617, 232754524, 811192543, 495306211, 876945338, 608068370, 507437188, 369012874, 17880143, 195808561, 392362578, 911576454, 506574619, 329650662, 364678060, 169765332, 117520502, 576349012, 157004121, 945436319, 842844814, 682703375, 847348041, 403348304, 844625548, 952955550, 147630538, 423112184, 208092301, 364595939, 843332245, 232514853, 334567945, 541302780, 112673021, 266172351, 527933543, 416794346, 966414950, 382577227, 101012674, 49204996, 918813636, 425449485, 313129568, 831653977, 644103339, 29133678, 495876301, 389679314, 742674193, 272362689, 269286676, 893382159, 962781220, 258955076, 875286333, 310674491, 958502615, 248984019, 210778724, 560454230, 579358579, 419141866, 964875440, 298501940, 586868042, 379435809, 968350970, 789068896, 665946996, 598900657, 246452346, 73520942, 431307805, 909861317, 259364673, 127693491, 261111909, 875357501, 280687449, 836178873, 398909882, 842774481, 607098173, 772011836, 522319246, 9433479, 396932013, 907448073, 669593222, 35539285, 482077306, 144279331, 261231068, 55494180, 313753191, 296886495, 295642998, 576259775, 640284631, 923071761, 277578448, 139961360, 838326026, 702585394, 897575664, 337852285, 553902210, 345007248, 228293934, 811212621, 762050924, 953299195, 994445604, 553356929, 947565901, 785660913, 545977284, 994345593, 920262115, 639499675, 111730259, 356958208, 571191739, 706971751, 83342586, 763065204, 757805966, 420123630, 307507092, 940311316, 634025461, 526018739, 802581821, 843586941, 54998992, 927645896, 764944009, 590897227, 502382854, 415875693, 879410801, 877609885, 48463467, 68186014, 533648186, 947387471, 807412684, 465906788, 704121872, 20181312, 381333135, 662594681, 73800531, 120521335, 802931174, 744142904, 883696606, 679875419, 292276985, 440536663, 784927004, 589365136, 983422005, 617680736, 55023883, 330544696, 262332949, 184592063, 827171199, 570738790, 454843427, 692120953, 167209044, 605031061, 293618998, 616846631, 454477482, 267464133, 668246637, 506006848, 775469679, 529497046, 963078690, 663470265, 854034495, 518338901, 998538635, 98781800, 717631697, 532358142, 151540905, 520777102, 65251625, 926585121, 426946412, 909883684, 984115261, 204307569, 463884610, 652745053, 489676362, 935297636, 789306234, 236669778, 777446861, 54379212, 356088085, 312611232, 292034130, 625584212, 805427232, 86560747, 780454556, 381456997, 718851780, 305115175, 35853133, 800391356, 384301457, 726733572, 791986536, 339418805, 986729379, 233872540, 502558957, 186198224, 20379846, 893327189, 564586410, 740891449, 917911023, 647773561, 628777771, 333166607, 435638921, 571342980, 851547467, 720777230, 348428408, 922118043, 441002527, 182575940, 17826492, 746155425, 532020664, 75347981, 343760358, 966473173, 487413920, 318948785, 19954531, 301386455, 272950285, 478544114, 354820464, 302865963, 586850751, 664429308, 451064387, 482588978, 485874106, 84096049, 318295885, 554712344, 63858759, 88415634, 566378751, 416348125, 584655316, 596086981, 739666717, 754081977, 701443360, 961269621, 710444965, 795174602, 188150215, 246262283, 35423583, 201358465, 614962414, 505089889, 772490007, 493413827, 158981114, 516903380, 452596500, 15884460, 885133360, 198568619, 583056962, 560141646, 204382592, 185992715, 873132289, 235414019, 127255256, 877941982, 120581864, 33248974, 578940519, 382877313, 332683802, 402051606, 250583938, 53634605, 563327964, 373674207, 950883781, 473131298, 499269227, 719955633, 713943269, 821695142, 20365983, 673733824, 915405527, 300129841, 282518481, 805787745, 304279475, 780478309, 173647996, 538952453, 540917310, 314938291, 419556470, 302092796, 980366140, 497816819, 53041897, 415000491, 515144586, 4168407, 522669678, 773060034, 165544440, 540148053, 320870873, 812947891, 389443222, 246922308, 362049143, 512860240, 44831490, 827929170, 905732873, 746713490, 135471417, 685777799, 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10970951, 197552230, 869954867, 918071518, 556795847, 392162559, 587921223, 390469659, 474793762, 813972446, 72165118, 508485335, 851982314, 489012124, 587784318, 5964699, 689215576, 374213129, 389444446, 14125203, 939932300, 499231188, 231239195, 956881914, 504659777, 885694050, 962313399, 574785599, 461579773, 413865168, 546242936, 888234797, 336186335, 172123361, 93352420, 9910200, 321876904, 896527085, 741217281, 3860860, 102028685, 115520821, 490814416, 9365018, 481723566, 562363762, 22802483, 321363857, 494198867, 703878161, 62237431, 886149949, 261382962, 227151133, 138520134, 432576955, 776964622, 326262701, 430035337, 823113089, 55741210, 732264912, 899874821, 119152178, 456880127, 218963696, 410021013, 518554517, 788656989, 302363086])) + +test7 :: Test +test7 = TestCase (assertEqual "for (minGroupsForValidAssignment [79, 1, 45, 96, 32, 6, 74, 4, 33, 22, 73, 80, 66, 33, 37, 65, 28, 33, 65, 14, 95, 85, 57, 56, 53, 44, 22, 42, 94, 74, 98, 53, 81, 100, 77, 26, 77])," 31 (minGroupsForValidAssignment [79, 1, 45, 96, 32, 6, 74, 4, 33, 22, 73, 80, 66, 33, 37, 65, 28, 33, 65, 14, 95, 85, 57, 56, 53, 44, 22, 42, 94, 74, 98, 53, 81, 100, 77, 26, 77])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_groups_to_create_a_valid_assignment/java_tests/Main.java b/minimum_number_of_groups_to_create_a_valid_assignment/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..d390e850328e502a3aefe5c37b3e50d2d34798c2 --- /dev/null +++ b/minimum_number_of_groups_to_create_a_valid_assignment/java_tests/Main.java @@ -0,0 +1,20 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(2, minGroupsForValidAssignment(Arrays.asList(3,2,3,2,3))); +} +@Test +public void test2() { + assertEquals(4, minGroupsForValidAssignment(Arrays.asList(10,10,10,3,1,1))); +} + +} diff --git a/minimum_number_of_groups_to_create_a_valid_assignment/meta.json b/minimum_number_of_groups_to_create_a_valid_assignment/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..bc1aa00e78d58ea50ba7306cdfb94e5f0130c828 --- /dev/null +++ b/minimum_number_of_groups_to_create_a_valid_assignment/meta.json @@ -0,0 +1,100113 @@ +{ + "id": 3166, + "name": "minimum_number_of_groups_to_create_a_valid_assignment", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimum-number-of-groups-to-create-a-valid-assignment/", + "date": "2023-10-15 00:00:00", + "task_description": "You are given a collection of numbered `balls` and instructed to sort them into boxes for a nearly balanced distribution. There are two rules you must follow: Balls with the same box must have the same value. But, if you have more than one ball with the same number, you can put them in different boxes. The biggest box can only have one more ball than the smallest box. ​Return the _fewest number of boxes_ to sort these balls following these rules. **Example 1: ** **Input: ** balls = [3,2,3,2,3] **Output: ** 2 **Explanation:** We can sort `balls` into boxes as follows: `[3,3,3]` `[2,2]` The size difference between the two boxes doesn't exceed one. **Example 2: ** **Input: ** balls = [10,10,10,3,1,1] **Output: ** 4 **Explanation:** We can sort `balls` into boxes as follows: `[10]` `[10,10]` `[3]` `[1,1]` You can't use fewer than four boxes while still following the rules. For example, putting all three balls numbered 10 in one box would break the rule about the maximum size difference between boxes. **Constraints:** `1 <= nums.length <= 105` `1 <= nums[i] <= 109`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "balls = [3,2,3,2,3]", + "output": "2 " + }, + { + "label": "Example 2", + "input": "balls = [10,10,10,3,1,1]", + "output": "4 " + } + ], + "private_test_cases": [ + { + "input": [ + 1 + ], + "output": 1 + }, + { + "input": [ + 1, + 1, + 1, + 1, + 1 + ], + "output": 1 + }, + { + "input": [ + 5, + 10, + 3, + 8, + 6, + 1, + 10, + 2, + 3, + 7, + 3, + 9, + 3, + 6, + 8, + 9, + 1, + 1 + ], + "output": 11 + }, + { + "input": [ + 328489075, + 777448661, + 485716181, + 562536635, + 394852677, + 735230797, + 989377182, + 202572337, + 865848916, + 378367776, + 473686237, + 930647901, + 695503056, + 21701240, + 127622816, + 684511019, + 861783268, + 583525296, + 666685682, + 311863566, + 156815124, + 544592291, + 41449164, + 994827476, + 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a/minimum_number_of_groups_to_create_a_valid_assignment/ocaml_tests/main.ml b/minimum_number_of_groups_to_create_a_valid_assignment/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..f8702f0357fdea17fba46f088de8cfaff88d7257 --- /dev/null +++ b/minimum_number_of_groups_to_create_a_valid_assignment/ocaml_tests/main.ml @@ -0,0 +1,42 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minGroupsForValidAssignment (balls: int list) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 2 (minGroupsForValidAssignment [3;2;3;2;3]) + +let test2 _ = assert_equal 4 (minGroupsForValidAssignment [10;10;10;3;1;1]) + +let test3 _ = assert_equal 4 (minGroupsForValidAssignment [1]) + +let test4 _ = assert_equal 4 (minGroupsForValidAssignment [1; 1; 1; 1; 1]) + +let test5 _ = assert_equal 4 (minGroupsForValidAssignment [5; 10; 3; 8; 6; 1; 10; 2; 3; 7; 3; 9; 3; 6; 8; 9; 1; 1]) + +let test6 _ = assert_equal 4 (minGroupsForValidAssignment [328489075; 777448661; 485716181; 562536635; 394852677; 735230797; 989377182; 202572337; 865848916; 378367776; 473686237; 930647901; 695503056; 21701240; 127622816; 684511019; 861783268; 583525296; 666685682; 311863566; 156815124; 544592291; 41449164; 994827476; 911228444; 978943546; 95938631; 913250617; 232754524; 811192543; 495306211; 876945338; 608068370; 507437188; 369012874; 17880143; 195808561; 392362578; 911576454; 506574619; 329650662; 364678060; 169765332; 117520502; 576349012; 157004121; 945436319; 842844814; 682703375; 847348041; 403348304; 844625548; 952955550; 147630538; 423112184; 208092301; 364595939; 843332245; 232514853; 334567945; 541302780; 112673021; 266172351; 527933543; 416794346; 966414950; 382577227; 101012674; 49204996; 918813636; 425449485; 313129568; 831653977; 644103339; 29133678; 495876301; 389679314; 742674193; 272362689; 269286676; 893382159; 962781220; 258955076; 875286333; 310674491; 958502615; 248984019; 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320688487; 755518548; 776583389; 671599982; 520321209; 736335496; 626891357; 758088092; 828177040; 575965755; 194153075; 914189727; 501771372; 396797680; 359017440; 888559573; 491883786; 885629376; 494478838; 196563418; 77868288; 545735983; 457940661; 356674955; 990399108; 992170863; 32278640; 193392867; 726895082; 487099832; 753930916; 594622571; 429766850; 61993250; 609891636; 386407700; 406936711; 419572411; 156455879; 993618103; 147621593; 581563364; 164838548; 395487473; 557692650; 153808123; 916634113; 246319727; 45656460; 846131665; 401930976; 181089633; 930458053; 103143236; 773159466; 293976258; 200489859; 163956762; 18478373; 113110443; 820672800; 77427258; 758228160; 899790907; 111802414; 555539901; 850969537; 200883845; 919934750; 861081365; 322416716; 109057148; 711930537; 206460659; 415413040; 868216111; 711570835; 70439824; 49530452; 814676821; 733456802; 471947849; 914832781; 221516370; 120181484; 467817373; 920543856; 356217276; 39847490; 779265546; 393269734; 10970951; 197552230; 869954867; 918071518; 556795847; 392162559; 587921223; 390469659; 474793762; 813972446; 72165118; 508485335; 851982314; 489012124; 587784318; 5964699; 689215576; 374213129; 389444446; 14125203; 939932300; 499231188; 231239195; 956881914; 504659777; 885694050; 962313399; 574785599; 461579773; 413865168; 546242936; 888234797; 336186335; 172123361; 93352420; 9910200; 321876904; 896527085; 741217281; 3860860; 102028685; 115520821; 490814416; 9365018; 481723566; 562363762; 22802483; 321363857; 494198867; 703878161; 62237431; 886149949; 261382962; 227151133; 138520134; 432576955; 776964622; 326262701; 430035337; 823113089; 55741210; 732264912; 899874821; 119152178; 456880127; 218963696; 410021013; 518554517; 788656989; 302363086]) + +let test7 _ = assert_equal 4 (minGroupsForValidAssignment [79; 1; 45; 96; 32; 6; 74; 4; 33; 22; 73; 80; 66; 33; 37; 65; 28; 33; 65; 14; 95; 85; 57; 56; 53; 44; 22; 42; 94; 74; 98; 53; 81; 100; 77; 26; 77]) + + + (* Grouping test cases *) + let suite = "Test Suite for minGroupsForValidAssignment" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_groups_to_create_a_valid_assignment/scala_tests/MySuite.scala b/minimum_number_of_groups_to_create_a_valid_assignment/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..811b3e24cc6c8b3af3beba546b57e481b7a21e9b --- /dev/null +++ b/minimum_number_of_groups_to_create_a_valid_assignment/scala_tests/MySuite.scala @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minGroupsForValidAssignment(List(3,2,3,2,3)), 2) + } + + test("test2") { + assertEquals(Main.minGroupsForValidAssignment(List(10,10,10,3,1,1)), 4) + } + + test("test3") { + assertEquals(Main.minGroupsForValidAssignment(1), 1) + } + + test("test4") { + assertEquals(Main.minGroupsForValidAssignment(1,1,1,1,1), 1) + } + + test("test5") { + assertEquals(Main.minGroupsForValidAssignment(5,10,3,8,6,1,10,2,3,7,3,9,3,6,8,9,1,1), 11) + } + + test("test6") { + assertEquals(Main.minGroupsForValidAssignment(328489075,777448661,485716181,562536635,394852677,735230797,989377182,202572337,865848916,378367776,473686237,930647901,695503056,21701240,127622816,684511019,861783268,583525296,666685682,311863566,156815124,544592291,41449164,994827476,911228444,978943546,95938631,913250617,232754524,811192543,495306211,876945338,608068370,507437188,369012874,17880143,195808561,392362578,911576454,506574619,329650662,364678060,169765332,117520502,576349012,157004121,945436319,842844814,682703375,847348041,403348304,844625548,952955550,147630538,423112184,208092301,364595939,843332245,232514853,334567945,541302780,112673021,266172351,527933543,416794346,966414950,382577227,101012674,49204996,918813636,425449485,313129568,831653977,644103339,29133678,495876301,389679314,742674193,272362689,269286676,893382159,962781220,258955076,875286333,310674491,958502615,248984019,210778724,560454230,579358579,419141866,964875440,298501940,586868042,379435809,968350970,789068896,665946996,598900657,246452346,73520942,431307805,909861317,259364673,127693491,261111909,875357501,280687449,836178873,398909882,842774481,607098173,772011836,522319246,9433479,396932013,907448073,669593222,35539285,482077306,144279331,261231068,55494180,313753191,296886495,295642998,576259775,640284631,923071761,277578448,139961360,838326026,702585394,897575664,337852285,553902210,345007248,228293934,811212621,762050924,953299195,994445604,553356929,947565901,785660913,545977284,994345593,920262115,639499675,111730259,356958208,571191739,706971751,83342586,763065204,757805966,420123630,307507092,940311316,634025461,526018739,802581821,843586941,54998992,927645896,764944009,590897227,502382854,415875693,879410801,877609885,48463467,68186014,533648186,947387471,807412684,465906788,704121872,20181312,381333135,662594681,73800531,120521335,802931174,744142904,883696606,679875419,292276985,440536663,784927004,589365136,983422005,617680736,55023883,330544696,262332949,184592063,827171199,570738790,454843427,692120953,167209044,605031061,293618998,616846631,454477482,267464133,668246637,506006848,775469679,529497046,963078690,663470265,854034495,518338901,998538635,98781800,717631697,532358142,151540905,520777102,65251625,926585121,426946412,909883684,984115261,204307569,463884610,652745053,489676362,935297636,789306234,236669778,777446861,54379212,356088085,312611232,292034130,625584212,805427232,86560747,780454556,381456997,718851780,305115175,35853133,800391356,384301457,726733572,791986536,339418805,986729379,233872540,502558957,186198224,20379846,893327189,564586410,740891449,917911023,647773561,628777771,333166607,435638921,571342980,851547467,720777230,348428408,922118043,441002527,182575940,17826492,746155425,532020664,75347981,343760358,966473173,487413920,318948785,19954531,301386455,272950285,478544114,354820464,302865963,586850751,664429308,451064387,482588978,485874106,84096049,318295885,554712344,63858759,88415634,566378751,416348125,584655316,596086981,739666717,754081977,701443360,961269621,710444965,795174602,188150215,246262283,35423583,201358465,614962414,505089889,772490007,493413827,158981114,516903380,452596500,15884460,885133360,198568619,583056962,560141646,204382592,185992715,873132289,235414019,127255256,877941982,120581864,33248974,578940519,382877313,332683802,402051606,250583938,53634605,563327964,373674207,950883781,473131298,499269227,719955633,713943269,821695142,20365983,673733824,915405527,300129841,282518481,805787745,304279475,780478309,173647996,538952453,540917310,314938291,419556470,302092796,980366140,497816819,53041897,415000491,515144586,4168407,522669678,773060034,165544440,540148053,320870873,812947891,389443222,246922308,362049143,512860240,44831490,827929170,905732873,746713490,135471417,685777799,550522508,275818122,645778242,355750494,962137296,730754404,444818137,940215119,997443229,50922420,378051531,823148013,564536619,58767064,19275780,455423411,399627334,552076161,83526615,992331306,449397085,495539636,868487407,831159290,472589873,801218063,360621438,339613371,679337074,980673172,865259928,561338709,540863945,754801646,588556361,457087048,151730828,22540712,987821221,692565939,907430902,887999233,731645865,699103411,234274942,190013370,410224084,631907202,747235428,826166658,542972193,117871926,762564519,886417522,550855444,631881411,852450516,88782579,973276208,710372827,381728758,271151183,896657552,298617295,384591688,28378863,944021877,678373820,244880082,121050312,741857787,342446045,731934447,920061040,260848310,612857876,273936205,299044960,349779711,157304316,300675056,146412080,501244579,655681897,767019399,37813708,555851343,332334840,964130688,331083797,992717337,742674663,122020499,387278322,697191309,747718926,557469957,3311306,162319350,992853822,761085028,224014636,392808301,22945834,60910403,152737993,542669827,881332503,17167518,748968432,15358369,826561625,948075847,194352222,802574112,537258233,59981739,776891667,423691059,43317206,86721392,691672866,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99990) + } + + test("test7") { + assertEquals(Main.minGroupsForValidAssignment(79,1,45,96,32,6,74,4,33,22,73,80,66,33,37,65,28,33,65,14,95,85,57,56,53,44,22,42,94,74,98,53,81,100,77,26,77), 31) + } + +} diff --git a/minimum_number_of_operations_to_convert_time/.DS_Store b/minimum_number_of_operations_to_convert_time/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..9722ea829b3bbd20ebdae35e5c5f9f815deec5a9 Binary files /dev/null and b/minimum_number_of_operations_to_convert_time/.DS_Store differ diff --git a/minimum_number_of_operations_to_convert_time/haskell_tests/Main.hs b/minimum_number_of_operations_to_convert_time/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..ba76db8d7be484bd0c052636df70630f1f6f6106 --- /dev/null +++ b/minimum_number_of_operations_to_convert_time/haskell_tests/Main.hs @@ -0,0 +1,24 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (convertTime \"02:30 \" \"04:35 \")," 3 (convertTime "02:30" "04:35")) + +test2 :: Test +test2 = TestCase (assertEqual "for (convertTime \"11:00 \" \"11:01 \")," 1 (convertTime "11:00" "11:01")) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_operations_to_convert_time/java_tests/Main.java b/minimum_number_of_operations_to_convert_time/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..0a294c48bab90f4ae6c8ca75f3fe24af15fefe48 --- /dev/null +++ b/minimum_number_of_operations_to_convert_time/java_tests/Main.java @@ -0,0 +1,21 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(3, convertTime("02:30", "04:35")); +} +@Test +public void test2() { + assertEquals(1, convertTime("11:00", "11:01")); +} + +} diff --git a/minimum_number_of_operations_to_convert_time/meta.json b/minimum_number_of_operations_to_convert_time/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..1b7e0c76f0f76c110a26c6c7ae78d42ea3144d3d --- /dev/null +++ b/minimum_number_of_operations_to_convert_time/meta.json @@ -0,0 +1,97 @@ +{ + "id": 2345, + "name": "minimum_number_of_operations_to_convert_time", + "difficulty": "Easy", + "link": "https://leetcode.com/problems/minimum-number-of-operations-to-convert-time/", + "date": "1648339200000", + "task_description": "You are given two strings `current` and `correct` representing two **24-hour times**. 24-hour times are formatted as `\"HH:MM\"`, where `HH` is between `00` and `23`, and `MM` is between `00` and `59`. The earliest 24-hour time is `00:00`, and the latest is `23:59`. In one operation you can increase the time `current` by `1`, `5`, `15`, or `60` minutes. You can perform this operation **any** number of times. Return _the **minimum number of operations** needed to convert _`current`_ to _`correct`. **Example 1:** ``` **Input:** current = \"02:30\", correct = \"04:35\" **Output:** 3 **Explanation: **We can convert current to correct in 3 operations as follows: - Add 60 minutes to current. current becomes \"03:30\". - Add 60 minutes to current. current becomes \"04:30\". - Add 5 minutes to current. current becomes \"04:35\". It can be proven that it is not possible to convert current to correct in fewer than 3 operations. ``` **Example 2:** ``` **Input:** current = \"11:00\", correct = \"11:01\" **Output:** 1 **Explanation:** We only have to add one minute to current, so the minimum number of operations needed is 1. ``` **Constraints:** `current` and `correct` are in the format `\"HH:MM\"` `current <= correct`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "current = \"02:30\", correct = \"04:35\"", + "output": "3 " + }, + { + "label": "Example 2", + "input": "current = \"11:00\", correct = \"11:01\"", + "output": "1 " + } + ], + "private_test_cases": [ + { + "input": [ + "\"07:16\"", + "\"09:14\"" + ], + "output": 9 + }, + { + "input": [ + "\"22:58\"", + "\"23:22\"" + ], + "output": 6 + }, + { + "input": [ + "\"15:13\"", + "\"17:14\"" + ], + "output": 3 + }, + { + "input": [ + "\"13:15\"", + "\"17:22\"" + ], + "output": 7 + }, + { + "input": [ + "\"14:02\"", + "\"17:45\"" + ], + "output": 10 + }, + { + "input": [ + "\"05:30\"", + "\"20:53\"" + ], + "output": 20 + }, + { + "input": [ + "\"04:17\"", + "\"15:12\"" + ], + "output": 15 + }, + { + "input": [ + "14:30", + "14:47" + ], + "output": 3 + }, + { + "input": [ + "16:15", + "22:13" + ], + "output": 13 + }, + { + "input": [ + "23:54", + "23:58" + ], + "output": 4 + } + ], + "haskell_template": "convertTime :: String -> String -> Int\nconvertTime current correct ", + "ocaml_template": "let convertTime (current: string) (correct: string) : int = ", + "scala_template": "def convertTime(current: String,correct: String): Int = { \n \n}", + "java_template": "public static int convertTime(String current, String correct) {\n\n}", + "python_template": "class Solution(object):\n def convertTime(self, current, correct):\n \"\"\"\n :type current: str\n :type correct: str\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_number_of_operations_to_convert_time/ocaml_tests/main.ml b/minimum_number_of_operations_to_convert_time/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..b1bf3724c83cd5b1c66a7b5c8abe6588075ef83e --- /dev/null +++ b/minimum_number_of_operations_to_convert_time/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 3 (convertTime "02:30" "04:35") + +let test2 _ = assert_equal 1 (convertTime "11:00" "11:01") + + + (* Grouping test cases *) + let suite = "Test Suite for convertTime" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_operations_to_convert_time/scala_tests/MySuite.scala b/minimum_number_of_operations_to_convert_time/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..6470d686a911a83f92a5392952c37b38e0d4c1d1 --- /dev/null +++ b/minimum_number_of_operations_to_convert_time/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.convertTime("02:30","04:35"), 3) + } + + test("test2") { + assertEquals(Main.convertTime("11:00","11:01"), 1) + } + +} diff --git a/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/.DS_Store b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..c5b6c901818e2218116a6990b2fe6359c88dd669 Binary files /dev/null and b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/.DS_Store differ diff --git a/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/haskell_tests/Main.hs b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..1ff09d36c80b7b2ba375a3b5d6db6d51f1afd54f --- /dev/null +++ b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/haskell_tests/Main.hs @@ -0,0 +1,24 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minOperations [2,6,3,4])," 4 (minOperations [2,6,3,4])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minOperations [2,10,6,14])," (-1) (minOperations [2,10,6,14])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/java_tests/Main.java b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..16b07603b19bb8db9cd3827efe0b25737c26df56 --- /dev/null +++ b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/java_tests/Main.java @@ -0,0 +1,21 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(4, minOperations(new ArrayList<>(Arrays.asList(2,6,3,4)))); +} +@Test +public void test2() { + assertEquals(-1, minOperations(new ArrayList<>(Arrays.asList(2,10,6,14)))); +} + +} diff --git a/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/meta.json b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..32abf27cf4886f05cc7b6ff6b86f538a3d298bb5 --- /dev/null +++ b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/meta.json @@ -0,0 +1,338 @@ +{ + "id": 2753, + "name": "minimum_number_of_operations_to_make_all_array_elements_equal_to_1", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimum-number-of-operations-to-make-all-array-elements-equal-to-1/", + "date": "1681603200000", + "task_description": "You are given a **0-indexed** array `nums` consisiting of **positive** integers. You can do the following operation on the array **any** number of times: Select an index `i` such that `0 <= i < n - 1` and replace either of `nums[i]` or `nums[i+1]` with their gcd value. Return _the **minimum** number of operations to make all elements of _`nums`_ equal to _`1`. If it is impossible, return `-1`. The gcd of two integers is the greatest common divisor of the two integers. **Example 1:** ``` **Input:** nums = [2,6,3,4] **Output:** 4 **Explanation:** We can do the following operations: - Choose index i = 2 and replace nums[2] with gcd(3,4) = 1. Now we have nums = [2,6,1,4]. - Choose index i = 1 and replace nums[1] with gcd(6,1) = 1. Now we have nums = [2,1,1,4]. - Choose index i = 0 and replace nums[0] with gcd(2,1) = 1. Now we have nums = [1,1,1,4]. - Choose index i = 2 and replace nums[3] with gcd(1,4) = 1. Now we have nums = [1,1,1,1]. ``` **Example 2:** ``` **Input:** nums = [2,10,6,14] **Output:** -1 **Explanation:** It can be shown that it is impossible to make all the elements equal to 1. ``` **Constraints:** `2 <= nums.length <= 50` `1 <= nums[i] <= 106`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [2,6,3,4]", + "output": "4 " + }, + { + "label": "Example 2", + "input": "nums = [2,10,6,14]", + "output": "-1 " + } + ], + "private_test_cases": [ + { + "input": [ + 141675, + 511608, + 149243, + 280842, + 334217, + 562189, + 317281, + 385001, + 870939, + 134786, + 480874, + 562085, + 294259, + 52998, + 115372, + 503728 + ], + "output": 16 + }, + { + "input": [ + 585067, + 478248, + 360455, + 810314 + ], + "output": 4 + }, + { + "input": [ + 473383, + 346442, + 725163, + 566672, + 616031, + 874533, + 495784, + 963595, + 691474, + 350576, + 479032, + 207002, + 608343, + 887318, + 593700, + 419959, + 481506, + 698521, + 25875, + 369616, + 534579, + 365898, + 649037, + 108933 + ], + "output": 24 + }, + { + "input": [ + 550651, + 658447, + 62953, + 149560, + 204631, + 347517, + 590132, + 981452, + 204943, + 392789, + 502656, + 546290, + 134148, + 893810, + 986538, + 283709, + 377752, + 775561, + 960187, + 587982, + 39355, + 128239, + 992774, + 909255, + 409225, + 995900, + 575901, + 59415, + 582830, + 665305, + 891406, + 567654, + 745714, + 771481, + 658514, + 203631, + 304418 + ], + "output": 37 + }, + { + "input": [ + 114287, + 304451, + 813694, + 101610, + 439759, + 573450, + 683066, + 215561, + 73224, + 337881, + 380758, + 248327, + 645784, + 342786, + 858091, + 151547, + 373050, + 460687, + 311099, + 321135, + 179738, + 612966, + 341883, + 970715, + 810627, + 936619, + 127404, + 392433, + 491067, + 280355, + 106032, + 21531, + 852242, + 938290, + 213934, + 254373, + 23533, + 69035, + 454127, + 184313, + 577002, + 787069, + 387496, + 325230, + 113187, + 183742 + ], + "output": 46 + }, + { + "input": [ + 762211, + 771096, + 739895, + 654301, + 186092, + 834557, + 211661, + 611512, + 42413, + 480404, + 483019, + 977791, + 451322, + 687802, + 248082 + ], + "output": 15 + }, + { + "input": [ + 604419, + 993319 + ], + "output": 2 + }, + { + "input": [ + 67929, + 379145, + 924873, + 830307, + 530070, + 239920, + 100076, + 411885, + 649333, + 132958, + 820378, + 637671, + 253685, + 645041, + 253791, + 368434, + 102598, + 468251, + 243249, + 68866, + 851651, + 99122, + 747267, + 600537, + 996073, + 838595, + 272893, + 211624, + 196371, + 59123, + 613897, + 828867, + 293485, + 858296, + 276301, + 753012, + 791914, + 915051, + 378586, + 98949, + 510624, + 670494, + 355265, + 711266, + 602048, + 135616 + ], + "output": 46 + }, + { + "input": [ + 772569, + 814699, + 836393, + 249875, + 592581, + 700278, + 189856, + 433611, + 79841, + 993119, + 528525, + 4789, + 939399, + 584617, + 42124, + 413941, + 662728, + 358887, + 420966, + 672596, + 181319, + 409613, + 40678, + 154813, + 701765, + 632418, + 470872, + 628274, + 106599, + 175782, + 5540, + 685270, + 478971, + 947105, + 298480, + 158273, + 879921 + ], + "output": 37 + }, + { + "input": [ + 561922, + 503595, + 204248, + 996972, + 612501, + 465721, + 633650, + 63287, + 467497, + 897323, + 934516, + 443603, + 518984, + 171173, + 746891, + 330469, + 119276, + 298889, + 539131, + 290768, + 646516, + 679055, + 717678, + 88690, + 554011, + 561741, + 197323, + 886981, + 352776, + 554404, + 632187, + 45071, + 805536, + 378506 + ], + "output": 34 + } + ], + "haskell_template": "minOperations :: [Int] -> Int\nminOperations nums ", + "ocaml_template": "let minOperations (nums: int list) : int = ", + "scala_template": "def minOperations(nums: List[Int]): Int = { \n \n}", + "java_template": "public static int minOperations(List nums) {\n\n}", + "python_template": "class Solution(object):\n def minOperations(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/ocaml_tests/main.ml b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..aa51a82a5d0c052c12e98c3c4c2420ff875cbec8 --- /dev/null +++ b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 4 (minOperations [2;6;3;4]) + +let test2 _ = assert_equal (-1) (minOperations [2;10;6;14]) + + + (* Grouping test cases *) + let suite = "Test Suite for minOperations" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/scala_tests/MySuite.scala b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..7c1ca8c0ed6260272900baa8e1d8d35df53f0836 --- /dev/null +++ b/minimum_number_of_operations_to_make_all_array_elements_equal_to_1/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minOperations(List(2,6,3,4)), 4) + } + + test("test2") { + assertEquals(Main.minOperations(List(2,10,6,14)), -1) + } + +} diff --git a/minimum_number_of_operations_to_make_array_empty/haskell_tests/Main.hs b/minimum_number_of_operations_to_make_array_empty/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..9e66bd9756a4d00348771a8144fa482a33142731 --- /dev/null +++ b/minimum_number_of_operations_to_make_array_empty/haskell_tests/Main.hs @@ -0,0 +1,47 @@ + +module Main where +import Test.HUnit + +--Program start +minOperations :: [Int] -> Int +minOperations nums = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minOperations [2,3,3,2,2,4,2,3,4])," 4 (minOperations [2,3,3,2,2,4,2,3,4])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minOperations [2,1,2,2,3,3])," (-1) (minOperations [2,1,2,2,3,3])) + +test3 :: Test +test3 = TestCase (assertEqual "for (minOperations [939097, 775354, 623573, 53772, 785163, 547762, 971769, 816369, 811329, 825964, 834655, 967637, 854750, 537958, 583613, 280258, 169399, 913462, 166930, 97069, 111136, 578287, 308106, 844229, 991353, 777564, 873211, 948056, 625931, 219304, 720666, 367046, 293371, 952433, 876203, 454184, 966950, 556513, 477307, 848469, 67421, 810735, 854562, 346655, 698891, 86015, 834535, 431606, 316364, 794299, 533859, 948089, 81520, 48141, 667162, 454000, 200920, 331399, 472043, 188051, 181607, 549796, 248185, 782941, 357533, 673661, 289002, 949507, 724283, 6529, 503562, 381352, 400057, 969251, 349631, 307859, 445485, 720369, 235765, 515747, 708719, 400190, 81879, 473095, 765947, 482091, 623258, 493317, 638401, 482904, 655834, 924324, 716527, 278882, 661593, 42853, 890959, 779800, 259945, 502607, 383904, 620854, 631775, 653390, 544530, 390400, 514409, 350637, 443739, 91569, 12155, 601267, 197262, 206064, 530710, 119226, 44250, 374016, 530658, 350068, 599319, 604092, 605913, 478012, 759723, 803103, 183540, 506760, 46004, 63388, 200809, 151286, 173326, 372530, 557344, 216162, 602226, 737413, 927997, 48718, 225578, 962549, 41603, 259367, 176026, 635858, 427779, 259818, 586854, 958431, 621988, 719282, 696155, 78597, 31863, 496987, 459374, 155127, 158913, 486604, 928649, 561556, 497308, 306113, 339190, 897208, 506695, 683855, 219868, 863993, 706655, 533611, 282454, 115412, 858578, 76232, 657309, 462119, 299685, 203161, 560738, 72094, 237105, 295980, 171965, 9884, 215705, 537778, 140988, 213682, 228059, 491893, 167426, 467905, 360559, 127726, 790370, 305388, 315145, 540710, 770084, 109596, 560217, 572157, 676708, 452458, 564480, 648071, 895098, 85556, 456344, 874170, 691613, 273245, 854912, 552870, 316805, 521764, 154855, 498266, 345640, 747188, 741558, 536875, 764661, 213125, 616961, 793108, 423646, 467976, 605004, 688467, 49870, 262479, 832414, 877876, 461209, 731035, 64514, 366609, 124553, 549323, 913630, 791920, 317787, 83302, 648320, 741735, 432146, 686747, 212653, 282490, 834823, 890898, 507776, 13451, 81174, 955034, 896890, 220128, 37689, 348414, 997162, 487560, 131226, 666594, 975059, 993665, 214952, 213648, 340123, 325228, 681253, 151021, 601339, 28349, 385410, 204223, 77780, 972883, 723351, 147720, 881747, 689841, 740231, 637843, 818607, 637859, 341108, 728862, 149437, 159931, 615414, 369034, 66195, 243563, 242897, 49263, 871459, 499220, 395002, 161901, 116524, 68018, 915914, 776144, 348580, 294871, 902365, 411124, 424263, 489384, 159953, 439093, 365289, 630836, 92120, 774424, 931440, 281, 505843, 194887, 628302, 484719, 306239, 851221, 597166, 257331, 752384, 932948, 414972, 815302, 131550, 802709, 938625, 994562, 662446, 14308, 439702, 713820, 999078, 322545, 887099, 697027, 447072, 890734, 257122, 413132, 595686, 654582, 721425, 567636, 754702, 826982, 178469, 114281, 821758, 81722, 418025, 910474, 293303, 394562, 952301, 128491, 439518, 991768, 179865, 633381, 473527, 187768, 91199, 696192, 803116, 402083, 232596, 9346, 943351, 242939, 865854, 529775, 552719, 229342, 180149, 363706, 739936, 714879, 651372, 693584, 230081, 751629, 249682, 80536, 175732, 902726, 256609, 690764, 856348, 965178, 262269, 483990, 789842, 743420, 278582, 212544, 752730, 435398, 235603, 256044, 28746, 965670, 858517, 78644, 443885, 57937, 353416, 202813, 943379, 32524, 919842, 351144, 239497, 667429, 787241, 706499, 95572, 482001, 354725, 192525, 358206, 34148, 340086, 537059, 21563, 364367, 894938, 257484, 893910, 471137, 674040, 680086, 234651, 604536, 469575, 294429, 347220, 424280, 701664, 66790, 484577, 262980, 235058, 750422, 715952, 628340, 249165, 971523, 446688, 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(assertEqual "for (minOperations [413941, 876900, 262860, 277012, 533879, 961809, 545247, 194327, 457898, 911975, 231393, 673851, 370029, 84679, 880303, 83593, 687483, 742907, 678448, 128300, 97454, 647825, 41794, 471, 453484, 994187, 634754, 323595, 115629, 494944, 446710, 320072, 309349, 764820, 88829, 387327, 136267, 431836, 155756, 411802, 543915, 131694, 363371, 622496, 26236, 548557, 155482, 601449, 834651, 417299, 569323, 689971, 411482, 132689, 252501, 115088, 45704, 941637, 903961, 603487, 356387, 135175, 783690, 381112, 244911, 658911, 628259, 148058, 204273, 234241, 932858, 124198, 643299, 699949, 548118, 777087, 934065, 936893, 555135, 33096, 455035, 998240, 849710, 175174, 998072, 429920, 109242, 714649, 725517, 772103, 344405, 110908, 663005, 520852, 546919, 321355, 313906, 607369, 910531, 125941, 103000, 211102, 646748, 467269, 652403, 478738, 666449, 715632, 395195, 203544, 85552, 781278, 33103, 380510, 397235, 16645, 950214, 461931, 585978, 368767, 464291, 645374, 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500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113, 500113])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7, TestLabel "Test8" test8, TestLabel "Test9" test9] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimum_number_of_operations_to_make_array_empty/java_tests/Main.java b/minimum_number_of_operations_to_make_array_empty/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..254dc033d3bb84e990554b8935760d49092b5a17 --- /dev/null +++ b/minimum_number_of_operations_to_make_array_empty/java_tests/Main.java @@ -0,0 +1,20 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(4, minOperations(Arrays.asList(2,3,3,2,2,4,2,3,4))); +} +@Test +public void test2() { + assertEquals(-1, minOperations(Arrays.asList(2,1,2,2,3,3))); +} + +} diff --git a/minimum_number_of_operations_to_make_array_empty/meta.json b/minimum_number_of_operations_to_make_array_empty/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..4aeb3f4994cb5523e0d10a5f4557c65dcdf1ca93 --- /dev/null +++ b/minimum_number_of_operations_to_make_array_empty/meta.json @@ -0,0 +1,363470 @@ +{ + "id": 3094, + "name": "minimum_number_of_operations_to_make_array_empty", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimum-number-of-operations-to-make-array-empty/", + "date": "2023-09-16 00:00:00", + "task_description": "You are given a **0-indexed** array `nums` consisting of positive integers. There are two types of operations that you can apply on the array **any** number of times: Choose **two** elements with **equal** values and **delete** them from the array. Choose **three** elements with **equal** values and **delete** them from the array. Return _the **minimum** number of operations required to make the array empty, or _`-1`_ if it is not possible_. **Example 1:** ``` **Input:** nums = [2,3,3,2,2,4,2,3,4] **Output:** 4 **Explanation:** We can apply the following operations to make the array empty: - Apply the first operation on the elements at indices 0 and 3. The resulting array is nums = [3,3,2,4,2,3,4]. - Apply the first operation on the elements at indices 2 and 4. The resulting array is nums = [3,3,4,3,4]. - Apply the second operation on the elements at indices 0, 1, and 3. The resulting array is nums = [4,4]. - Apply the first operation on the elements at indices 0 and 1. The resulting array is nums = []. It can be shown that we cannot make the array empty in less than 4 operations. ``` **Example 2:** ``` **Input:** nums = [2,1,2,2,3,3] **Output:** -1 **Explanation:** It is impossible to empty the array. ``` **Constraints:** `2 <= nums.length <= 105` `1 <= nums[i] <= 106` **Note:** This question is the same as 2244: Minimum Rounds to Complete All Tasks.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [2,3,3,2,2,4,2,3,4]", + "output": "4 " + }, + { + "label": "Example 2", + "input": "nums = [2,1,2,2,3,3]", + "output": "-1 " + } + ], + "private_test_cases": [ + { + "input": [ + 939097, + 775354, + 623573, + 53772, + 785163, + 547762, + 971769, + 816369, + 811329, + 825964, + 834655, + 967637, + 854750, + 537958, + 583613, + 280258, + 169399, + 913462, + 166930, + 97069, + 111136, + 578287, + 308106, + 844229, + 991353, + 777564, + 873211, + 948056, + 625931, + 219304, + 720666, + 367046, + 293371, + 952433, + 876203, + 454184, + 966950, + 556513, + 477307, + 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"java_template": "class Solution {\n public int minOperations(int[] nums) {\n \n }\n}", + "python_template": "class Solution(object):\n def minOperations(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file