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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` from fractions import gcd from collections import Counter, deque, defaultdict from heapq import heappush, heappop, heappushpop, heapify, heapreplace, merge from bisect import bisect_left, bisect_right, bisect, insort_left, insort_right, insort from itertools import product, combinations,permutations from copy import deepcopy import sys sys.setrecursionlimit(4100000) if __name__ == '__main__': N = int(input()) A = list(map(int, input().split())) acc_A = [] acc = 0 for a in A: acc += a acc_A.append(acc) minv = 1001001001 for c in acc_A: minv = min(abs(c-(acc_A[-1]-c)), minv) print(minv) ```
instruction
0
33,215
16
66,430
No
output
1
33,215
16
66,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it. They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card. Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|. Constraints * 2 \leq N \leq 2 \times 10^5 * -10^{9} \leq a_i \leq 10^{9} * a_i is an integer. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_{N} Output Print the answer. Examples Input 6 1 2 3 4 5 6 Output 1 Input 2 10 -10 Output 20 Submitted Solution: ``` N = int(input()) a = list(map(int,input().split())) x = a[0] y = sum(a[1:]) ans = abs(x-y) for i in range(N-1): x += a[i+1] y -= a[i+1] ans = min(ans, abs(x-y)) print(ans) ```
instruction
0
33,216
16
66,432
No
output
1
33,216
16
66,433
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,217
16
66,434
"Correct Solution: ``` a=int(input()) ans=a//11*2 a%=11 if 6>=a>=1:ans+=1 elif a!=0:ans+=2 print(ans) ```
output
1
33,217
16
66,435
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,218
16
66,436
"Correct Solution: ``` n=int(input());print((n//11)*2+([0]+[1]*6+[2]*4)[n%11]) ```
output
1
33,218
16
66,437
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,219
16
66,438
"Correct Solution: ``` x=int(input()) n=(x//11)*2+(x%11)//6 if (x%11)%6==0: print(n) else: print(n+1) ```
output
1
33,219
16
66,439
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,220
16
66,440
"Correct Solution: ``` iX=int(input())-1 print((iX//11)*2+((iX%11)//6)+1) ```
output
1
33,220
16
66,441
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,221
16
66,442
"Correct Solution: ``` n = int(input()) ret = (n-1)//11*2+1 if (n-1)%11 >= 6: ret += 1 print(ret) ```
output
1
33,221
16
66,443
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,222
16
66,444
"Correct Solution: ``` import math x = int(input()) if x == 6 or (x-6)%11 == 0: x -= 1 print(math.ceil(x/5.5)) ```
output
1
33,222
16
66,445
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,223
16
66,446
"Correct Solution: ``` x = int(input()) a = x // 11 * 2 b = x % 11 res = a + (b + 5) // 6 print(res) ```
output
1
33,223
16
66,447
Provide a correct Python 3 solution for this coding contest problem. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801
instruction
0
33,224
16
66,448
"Correct Solution: ``` p, q = divmod(int(input()), 11) print(p*2 + (q and [1, 2][q > 6])) ```
output
1
33,224
16
66,449
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` import math x = int(input()) print(2*math.ceil(x/11.0)+(-1 if 1 <= x%11 <= 6 else 0)) ```
instruction
0
33,225
16
66,450
Yes
output
1
33,225
16
66,451
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` x=int(input()) n=x//11 if x%11==0: print(2*n) elif x%11<=6: print(2*n+1) else: print(2*n+2) ```
instruction
0
33,226
16
66,452
Yes
output
1
33,226
16
66,453
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` N=int(input()) ans1=N//11*2 ans2=(0<N%11)+(6<N%11) print(ans1+ans2) ```
instruction
0
33,227
16
66,454
Yes
output
1
33,227
16
66,455
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` x=int(input()) q,r = divmod(x,11) if r==0:a=0 elif r <= 6:a = 1 else:a = 2 print(2*q+a) ```
instruction
0
33,228
16
66,456
Yes
output
1
33,228
16
66,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` x = int(input()) print(x//5.5+1) ```
instruction
0
33,229
16
66,458
No
output
1
33,229
16
66,459
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` x=int(input()) ans=x/11*2 if x%11==0: print(ans) elif x%11<=6: print(ans+1) else: print(ans+2) ```
instruction
0
33,230
16
66,460
No
output
1
33,230
16
66,461
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` x = int(input()) # 5 or 6 if x % 11 == 0: ans = x // 11 * 2 elif x % 11 <= 5: ans = x // 11 * 2 + 1 else: ans = x // 11 * 2 + 2 print(ans) ```
instruction
0
33,231
16
66,462
No
output
1
33,231
16
66,463
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has decided to play with a six-sided die. Each of its six sides shows an integer 1 through 6, and two numbers on opposite sides always add up to 7. Snuke will first put the die on the table with an arbitrary side facing upward, then repeatedly perform the following operation: * Operation: Rotate the die 90° toward one of the following directions: left, right, front (the die will come closer) and back (the die will go farther). Then, obtain y points where y is the number written in the side facing upward. For example, let us consider the situation where the side showing 1 faces upward, the near side shows 5 and the right side shows 4, as illustrated in the figure. If the die is rotated toward the right as shown in the figure, the side showing 3 will face upward. Besides, the side showing 4 will face upward if the die is rotated toward the left, the side showing 2 will face upward if the die is rotated toward the front, and the side showing 5 will face upward if the die is rotated toward the back. 864abc2e4a08c26015ffd007a30aab03.png Find the minimum number of operation Snuke needs to perform in order to score at least x points in total. Constraints * 1 ≦ x ≦ 10^{15} * x is an integer. Input The input is given from Standard Input in the following format: x Output Print the answer. Examples Input 7 Output 2 Input 149696127901 Output 27217477801 Submitted Solution: ``` a, b = divmod(int(input()), 11) print(a * 2 + (b > 6) + 1) ```
instruction
0
33,232
16
66,464
No
output
1
33,232
16
66,465
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,034
16
68,068
"Correct Solution: ``` N = int(input()) A = list(map(int, input().split())) i = 1 for a in A: if a == i: i += 1 if i == 1: print(-1) else: print(N-i+1) ```
output
1
34,034
16
68,069
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,035
16
68,070
"Correct Solution: ``` N=int(input()) A=list(map(int,input().split())) k=0 for i in range(N): if A[i]==k+1: k+=1 if k==0: k=N+1 print(N-k) ```
output
1
34,035
16
68,071
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,036
16
68,072
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) s=1 for i in range(n): if a[i]==s: s+=1 if s==1: print(-1) else: print(n-(s-1)) ```
output
1
34,036
16
68,073
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,037
16
68,074
"Correct Solution: ``` N=int(input()) A=list(map(int,input().split())) cnt=0 for a in A: cnt+=1 if cnt+1==a else 0 print(N-cnt if cnt>0 else -1) ```
output
1
34,037
16
68,075
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,038
16
68,076
"Correct Solution: ``` N=int(input()) a=list(map(int,input().split())) t=1 for i in a: if t==i: t+=1 if t==1: print(-1) else: print(N-t+1) ```
output
1
34,038
16
68,077
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,039
16
68,078
"Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) m=1 for i in range(n): if a[i]==m: m+=1 if m==1: print(-1) else: print(n-m+1) ```
output
1
34,039
16
68,079
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,040
16
68,080
"Correct Solution: ``` N=int(input()) A=list(map(int,input().split())) t=0 for i in range(N): if A[i]==t+1: t+=1 print((-1,N-t)[t>0]) ```
output
1
34,040
16
68,081
Provide a correct Python 3 solution for this coding contest problem. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0
instruction
0
34,041
16
68,082
"Correct Solution: ``` N = int(input()) a = map(int, input().split()) A = 0 C = 1 for i in a: if i == C: C += 1 else: A += 1 print(-1 if C == 1 else A) ```
output
1
34,041
16
68,083
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` n=int(input()) ar=list(map(int,input().split())) m=0 for i in ar: if i-1==m: m=i if m: print(n-m) else: print(-1) ```
instruction
0
34,042
16
68,084
Yes
output
1
34,042
16
68,085
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) now = 1 for x in a: if x == now: now += 1 print(-1 if now == 1 else n-now+1) ```
instruction
0
34,043
16
68,086
Yes
output
1
34,043
16
68,087
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` n=int(input()) a=[int(x) for x in input().split()] x=0 for i in range(n): if a[i]==x+1: x+=1 if x!=0: print(n-x) else: print(-1) ```
instruction
0
34,044
16
68,088
Yes
output
1
34,044
16
68,089
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` N=int(input()) a=[int(x) for x in input().split()] cnt=1 for x in a: if x==cnt: cnt+=1 print(-1 if cnt==1 else N-cnt+1) ```
instruction
0
34,045
16
68,090
Yes
output
1
34,045
16
68,091
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` def babble_sort(arr): length = len(arr) count = 0 for i in range(length): for j in reversed(range(i+1, length)): if arr[j-1] > arr[j]: count += 1 arr[j-1], arr[j] = arr[j], arr[j-1] print(count//2) return arr N = int(input()) an = list(map(int, input().split(' '))) babble_sort(an) ```
instruction
0
34,046
16
68,092
No
output
1
34,046
16
68,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` N = int(input()) A = list(map(int,input().split())) count = 0 k=0 while k<len(A): if A[k] == k+1: k += 1 else: count += 1 A.pop(k) if count == N: print(-1) else: print(count) ```
instruction
0
34,047
16
68,094
No
output
1
34,047
16
68,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` import sys input = sys.stdin.readline n = int(input()) li = list(map(int,input().split())) breakpoint = 0 stoppoint = 0 for i in range(n): for j in range(stoppoint,n): if li[j] != i+1: breakpoint += 1 else: stoppoint = j+1 break if breakpoint == n: breakpoint = -1 break print(breakpoint) ```
instruction
0
34,048
16
68,096
No
output
1
34,048
16
68,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N bricks arranged in a row from left to right. The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it. Among them, you can break at most N-1 bricks of your choice. Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it. Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print `-1` instead. Constraints * All values in input are integers. * 1 \leq N \leq 200000 * 1 \leq a_i \leq N Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print `-1` if his desire is unsatisfiable. Examples Input 3 2 1 2 Output 1 Input 3 2 2 2 Output -1 Input 10 3 1 4 1 5 9 2 6 5 3 Output 7 Input 1 1 Output 0 Submitted Solution: ``` # 初期入力 N = int(input()) #A = list(map(int, input().split())) A = list(map(int, input().split())) # 1の左側は砕く、以降数字が大きくなるほど右側にあればいいが、順番が違うと砕く必要あり。 from copy import deepcopy x = 0 y =0 z = 0 for i in range(1,N+1): if i in A[x:]: y = A[x:].index(i ) #z.append(y) z +=1 x += y #if y==0: # break else: y = -1 break # renga_kudaku = 0 if z ==0 and y==-1: renga_kudaku = -1 elif z ==0: renga_kudaku = 0 else: renga_kudaku=N-z # 求める物=全体ー残る要素数、zは残る文字の配列 print(renga_kudaku) ```
instruction
0
34,049
16
68,098
No
output
1
34,049
16
68,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N jewels, numbered 1 to N. The color of these jewels are represented by integers between 1 and K (inclusive), and the color of Jewel i is C_i. Also, these jewels have specified values, and the value of Jewel i is V_i. Snuke would like to choose some of these jewels to exhibit. Here, the set of the chosen jewels must satisfy the following condition: * For each chosen jewel, there is at least one more jewel of the same color that is chosen. For each integer x such that 1 \leq x \leq N, determine if it is possible to choose exactly x jewels, and if it is possible, find the maximum possible sum of the values of chosen jewels in that case. Constraints * 1 \leq N \leq 2 \times 10^5 * 1 \leq K \leq \lfloor N/2 \rfloor * 1 \leq C_i \leq K * 1 \leq V_i \leq 10^9 * For each of the colors, there are at least two jewels of that color. * All values in input are integers. Input Input is given from Standard Input in the following format: N K C_1 V_1 C_2 V_2 : C_N V_N Output Print N lines. In the i-th line, if it is possible to choose exactly i jewels, print the maximum possible sum of the values of chosen jewels in that case, and print -1 otherwise. Examples Input 5 2 1 1 1 2 1 3 2 4 2 5 Output -1 9 6 14 15 Input 5 2 1 1 1 2 2 3 2 4 2 5 Output -1 9 12 12 15 Input 8 4 3 2 2 3 4 5 1 7 3 11 4 13 1 17 2 19 Output -1 24 -1 46 -1 64 -1 77 Input 15 5 3 87 1 25 1 27 3 58 2 85 5 19 5 39 1 58 3 12 4 13 5 54 4 100 2 33 5 13 2 55 Output -1 145 173 285 318 398 431 491 524 576 609 634 653 666 678 Submitted Solution: ``` N, K = map(int, input().split()) X = [[] for _ in range(K)] Y = [] for i in range(N): c, v = map(int, input().split()) X[c-1].append(v) Z = [] ii = 0 for i in range(K): X[i] = sorted(X[i])[::-1] if len(X[i]) == 2: Z.append(sum(X[i])) else: Y.append([]) Y[ii] = [0] * (len(X[i]) + 1) Y[ii][1] = -1 Y[ii][2] = X[i][0]+X[i][1] for j in range(2, len(X[i])): Y[ii][j+1] = Y[ii][j] + X[i][j] ii += 1 if len(Z) > 0: Z = sorted(Z)[::-1] Y.append([-1]*(len(Z)*2+1)) Y[-1][0] = 0 for i in range(len(Z)): Y[-1][2*(i+1)] = Y[-1][2*i] + Z[i] post = [0] pre = [] for i in range(K): pre = post post = [a for a in pre] + [-1] * (len(Y[i]) - 1) for j in range(len(pre)): for k in range(2, len(Y[i])): if j == 0 or pre[j]>0: post[j+k] = max(post[j+k], pre[j]+Y[i][k]) for a in post[1:]: print(a) ```
instruction
0
36,699
16
73,398
No
output
1
36,699
16
73,399
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N jewels, numbered 1 to N. The color of these jewels are represented by integers between 1 and K (inclusive), and the color of Jewel i is C_i. Also, these jewels have specified values, and the value of Jewel i is V_i. Snuke would like to choose some of these jewels to exhibit. Here, the set of the chosen jewels must satisfy the following condition: * For each chosen jewel, there is at least one more jewel of the same color that is chosen. For each integer x such that 1 \leq x \leq N, determine if it is possible to choose exactly x jewels, and if it is possible, find the maximum possible sum of the values of chosen jewels in that case. Constraints * 1 \leq N \leq 2 \times 10^5 * 1 \leq K \leq \lfloor N/2 \rfloor * 1 \leq C_i \leq K * 1 \leq V_i \leq 10^9 * For each of the colors, there are at least two jewels of that color. * All values in input are integers. Input Input is given from Standard Input in the following format: N K C_1 V_1 C_2 V_2 : C_N V_N Output Print N lines. In the i-th line, if it is possible to choose exactly i jewels, print the maximum possible sum of the values of chosen jewels in that case, and print -1 otherwise. Examples Input 5 2 1 1 1 2 1 3 2 4 2 5 Output -1 9 6 14 15 Input 5 2 1 1 1 2 2 3 2 4 2 5 Output -1 9 12 12 15 Input 8 4 3 2 2 3 4 5 1 7 3 11 4 13 1 17 2 19 Output -1 24 -1 46 -1 64 -1 77 Input 15 5 3 87 1 25 1 27 3 58 2 85 5 19 5 39 1 58 3 12 4 13 5 54 4 100 2 33 5 13 2 55 Output -1 145 173 285 318 398 431 491 524 576 609 634 653 666 678 Submitted Solution: ``` N, K = map(int, input().split()) X = [[] for _ in range(K)] Y = [0] * K for i in range(N): c, v = map(int, input().split()) X[c-1].append(v) for i in range(K): X[i] = sorted(X[i])[::-1] Y[i] = [0] * (len(X[i]) + 1) Y[i][1] = -1 Y[i][2] = X[i][0]+X[i][1] for j in range(2, len(X[i])): Y[i][j+1] = Y[i][j] + X[i][j] post = [0] pre = [] for i in range(K): pre = post post = [a for a in pre] + [-1] * (len(Y[i]) - 1) for j in range(len(pre)): for k in range(2, len(Y[i])): if j == 0 or pre[j]>0: post[j+k] = max(post[j+k], pre[j]+Y[i][k]) for a in post[1:]: print(a) ```
instruction
0
36,700
16
73,400
No
output
1
36,700
16
73,401
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N jewels, numbered 1 to N. The color of these jewels are represented by integers between 1 and K (inclusive), and the color of Jewel i is C_i. Also, these jewels have specified values, and the value of Jewel i is V_i. Snuke would like to choose some of these jewels to exhibit. Here, the set of the chosen jewels must satisfy the following condition: * For each chosen jewel, there is at least one more jewel of the same color that is chosen. For each integer x such that 1 \leq x \leq N, determine if it is possible to choose exactly x jewels, and if it is possible, find the maximum possible sum of the values of chosen jewels in that case. Constraints * 1 \leq N \leq 2 \times 10^5 * 1 \leq K \leq \lfloor N/2 \rfloor * 1 \leq C_i \leq K * 1 \leq V_i \leq 10^9 * For each of the colors, there are at least two jewels of that color. * All values in input are integers. Input Input is given from Standard Input in the following format: N K C_1 V_1 C_2 V_2 : C_N V_N Output Print N lines. In the i-th line, if it is possible to choose exactly i jewels, print the maximum possible sum of the values of chosen jewels in that case, and print -1 otherwise. Examples Input 5 2 1 1 1 2 1 3 2 4 2 5 Output -1 9 6 14 15 Input 5 2 1 1 1 2 2 3 2 4 2 5 Output -1 9 12 12 15 Input 8 4 3 2 2 3 4 5 1 7 3 11 4 13 1 17 2 19 Output -1 24 -1 46 -1 64 -1 77 Input 15 5 3 87 1 25 1 27 3 58 2 85 5 19 5 39 1 58 3 12 4 13 5 54 4 100 2 33 5 13 2 55 Output -1 145 173 285 318 398 431 491 524 576 609 634 653 666 678 Submitted Solution: ``` N, K = map(int, input().split()) X = [[] for _ in range(K)] Y = [] for i in range(N): c, v = map(int, input().split()) X[c-1].append(v) Z = [] ii = 0 for i in range(K): X[i] = sorted(X[i])[::-1] if len(X[i]) == 2: Z.append(sum(X[i])) else: Y.append([]) Y[ii] = [0] * (len(X[i]) + 1) Y[ii][1] = -1 Y[ii][2] = X[i][0]+X[i][1] for j in range(2, len(X[i])): Y[ii][j+1] = Y[ii][j] + X[i][j] ii += 1 if len(Z) > 0: Z = sorted(Z)[::-1] Y.append([-1]*(len(Z)*2+3)) Y[-1][0] = 0 for i in range(len(Z)): Y[-1][2*(i+1)] = Y[-1][2*i] + Z[i] post = [0] pre = [] for i in range(K): pre = post post = [a for a in pre] + [-1] * (len(Y[i]) - 1) for j in range(len(pre)): for k in range(2, len(Y[i])): if j == 0 or pre[j]>0: post[j+k] = max(post[j+k], pre[j]+Y[i][k]) for a in post[1:]: print(a) ```
instruction
0
36,701
16
73,402
No
output
1
36,701
16
73,403
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N jewels, numbered 1 to N. The color of these jewels are represented by integers between 1 and K (inclusive), and the color of Jewel i is C_i. Also, these jewels have specified values, and the value of Jewel i is V_i. Snuke would like to choose some of these jewels to exhibit. Here, the set of the chosen jewels must satisfy the following condition: * For each chosen jewel, there is at least one more jewel of the same color that is chosen. For each integer x such that 1 \leq x \leq N, determine if it is possible to choose exactly x jewels, and if it is possible, find the maximum possible sum of the values of chosen jewels in that case. Constraints * 1 \leq N \leq 2 \times 10^5 * 1 \leq K \leq \lfloor N/2 \rfloor * 1 \leq C_i \leq K * 1 \leq V_i \leq 10^9 * For each of the colors, there are at least two jewels of that color. * All values in input are integers. Input Input is given from Standard Input in the following format: N K C_1 V_1 C_2 V_2 : C_N V_N Output Print N lines. In the i-th line, if it is possible to choose exactly i jewels, print the maximum possible sum of the values of chosen jewels in that case, and print -1 otherwise. Examples Input 5 2 1 1 1 2 1 3 2 4 2 5 Output -1 9 6 14 15 Input 5 2 1 1 1 2 2 3 2 4 2 5 Output -1 9 12 12 15 Input 8 4 3 2 2 3 4 5 1 7 3 11 4 13 1 17 2 19 Output -1 24 -1 46 -1 64 -1 77 Input 15 5 3 87 1 25 1 27 3 58 2 85 5 19 5 39 1 58 3 12 4 13 5 54 4 100 2 33 5 13 2 55 Output -1 145 173 285 318 398 431 491 524 576 609 634 653 666 678 Submitted Solution: ``` giveup ```
instruction
0
36,702
16
73,404
No
output
1
36,702
16
73,405
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,376
16
76,752
"Correct Solution: ``` N, A, B, C, D = map(int, input().split()) S = input() if '##' in S[A-1:max(C, D)]: print('No') elif C < D: print('Yes') else: print('Yes' if '...' in S[B-2:D+1] else 'No') ```
output
1
38,376
16
76,753
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,377
16
76,754
"Correct Solution: ``` n,a,b,c,d = map(int,input().split()) S = input() if ('##' in S[a:c-1]) or ('##' in S[b:d-1]): print('No') else: if d < c: if ('...' in S[b-2:d+1]): print('Yes') else: print('No') else: print('Yes') ```
output
1
38,377
16
76,755
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,378
16
76,756
"Correct Solution: ``` N, A, B, C, D = map(lambda x: int(x)-1, input().split()) L = input() reachable = not ("##" in L[A:C+1] or "##" in L[B:D+1]) interupt = "..." in L[B-1:D+2] if reachable and (C < D or interupt): print("Yes") else: print("No") ```
output
1
38,378
16
76,757
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,379
16
76,758
"Correct Solution: ``` n, a, b, c, d = map(int, input().split()) s = input() if "##" in s[a - 1:max(c, d)]: print("No") exit() elif c > d and not "..." in s[b - 2:d + 1]: print("No") exit() print("Yes") ```
output
1
38,379
16
76,759
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,380
16
76,760
"Correct Solution: ``` n, a, b, c, d = map(int, input().split()) s = input() if c < d: print("Yes" if s[a - 1:d].count("##") == 0 else "No") else: print("Yes" if s[a - 1:c].count("##") == 0 and s[b - 2:d + 1].count("...") > 0 else "No") ```
output
1
38,380
16
76,761
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,381
16
76,762
"Correct Solution: ``` N, A, B, C, D = map(int, input().split()) S = input() print('No' if '##' in S[A:C-1] or '##' in S[B:D-1] or C == D or C > D and '...' not in S[B-2:D+1] else 'Yes') ```
output
1
38,381
16
76,763
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,382
16
76,764
"Correct Solution: ``` from copy import* n,a,b,c,d=map(int,input().split()) s=input() if "##" in s[a-1:c] or "##" in s[b-1:d]: print("No") else: if c<d: print("Yes") else: if "..." in s[max(0,b-2):min(d+1,n)]: print("Yes") else: print("No") ```
output
1
38,382
16
76,765
Provide a correct Python 3 solution for this coding contest problem. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes
instruction
0
38,383
16
76,766
"Correct Solution: ``` n, a, b, c, d = map(int, input().split()) s = input() a -= 1 b -= 1 c -= 1 d -= 1 # 2個以上の岩があればNG if "##" in s[a:max(c,d)]: print("No") exit() # AがBを抜けるかどうか if d < c and not "..." in s[b-1:d+2]: print("No") exit() print("Yes") ```
output
1
38,383
16
76,767
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes Submitted Solution: ``` N,A,B,C,D=map(int,input().split()) S=input() if "##" in S[A-1:max(C,D)] or ("..." not in S[B-2:min(C,D)+1] and C>D): print("No") else: print("Yes") ```
instruction
0
38,384
16
76,768
Yes
output
1
38,384
16
76,769
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes Submitted Solution: ``` N, A, B, C, D = map(int, input().split()) S = input() if ("##" in S[A:C+1]) or ("##" in S[B:D+1]): print("No") else: if C < D: print("Yes") else: if "..." in S[B-2:D+1]: print("Yes") else: print("No") ```
instruction
0
38,385
16
76,770
Yes
output
1
38,385
16
76,771
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes Submitted Solution: ``` n, a, b, c, d = map(int, input().split()) s = input() lbound = min(a, b) - 1 if "##" in s[a - 1 : c] or "##" in s[b - 1 : d]: print("No") elif ((a > b) ^ (c > d)) and "..." not in s[max(a, b) - 2 : min(c, d) + 1]: print("No") else: print("Yes") ```
instruction
0
38,386
16
76,772
Yes
output
1
38,386
16
76,773
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty. In the beginning, Snuke stands on Square A, and Fnuke stands on Square B. You can repeat the following operation any number of times: * Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person. You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D. Determine whether this is possible. Constraints * 4 \leq N \leq 200\ 000 * S is a string of length N consisting of `.` and `#`. * 1 \leq A, B, C, D \leq N * Square A, B, C and D do not contain a rock. * A, B, C and D are all different. * A < B * A < C * B < D Input Input is given from Standard Input in the following format: N A B C D S Output Print `Yes` if the objective is achievable, and `No` if it is not. Examples Input 7 1 3 6 7 .#..#.. Output Yes Input 7 1 3 7 6 .#..#.. Output No Input 15 1 3 15 13 ...#.#...#.#... Output Yes Submitted Solution: ``` n, a, b, c, d = map(int, input().split()) S = input() if c < d and (S[a-1:d+1].count("##") == 0): print("Yes") exit() if c > d and (S[b-2:d+1].count("...") >= 1) and (S[a-1:d+1].count("##") == 0): print("Yes") exit() print("No") ```
instruction
0
38,387
16
76,774
Yes
output
1
38,387
16
76,775