L[z][j])
+ swap(i,j);
+ // nested subtrees?
+ if (L[z][j]<=R[z][i])
+ {
+ ans=2*S[z][i] + S[z][j];
+ goto Done;
+ }
+ // disjoint subtrees
+ ans=2*(S[z][i] + S[z][j]);
+ goto Done;
+ }
+ // different trees
+ if (z1)
+ swap(i,j);
+ ans=2*(S[0][i] + S[1][j]);
+ if ((S[0][i]) && (S[1][j]))
+ ans-=Query(1,0,sz-1,L[0][i]+1,R[0][i],L[1][j]+1,R[1][j]);
+ // update total
+Done:;
+ tot=((LL)tot*12345+ans)%MOD;
+ }
+ //output
+ printf("Case #%d: %d\n",t,tot);
+ }
+ return(0);
+}
\ No newline at end of file
diff --git a/2017/finals/tolls.html b/2017/finals/tolls.html
new file mode 100644
index 0000000000000000000000000000000000000000..9d177144a69763e577eb30339f5af8c0645d57b1
--- /dev/null
+++ b/2017/finals/tolls.html
@@ -0,0 +1,100 @@
+
+A group of N Foxen reside in a peaceful forest community.
+Each Fox's property consists of a tree stump as well as an underground den.
+There are N - 1 two-way paths on the ground running amongst the tree stumps,
+with the ith path connecting the stumps belonging to two different Foxen
+Ai and Bi,
+such that all N stumps can be reached from one another by following a sequence of paths.
+Similarly, there are N - 1 underground tunnels running amongst the dens,
+with the ith tunnel connecting the dens belonging to Foxen
+Ci and Di,
+such that all N dens can be reached from one another.
+There's additionally a passageway connecting the tree stump and den belonging to the 1st Fox,
+which is the only way in the whole forest to get underground from the surface and vice versa.
+
+
+
+At night the Foxen sleep in their dens, but during the daytime, they like to emerge and relax lazily on their tree stumps.
+Each day, every Fox takes a trip from their den to their tree stump,
+taking the unique shortest path through the system of tunnels and paths to get there.
+However, this often requires passing through other Foxen's properties, which they don't appreciate a whole lot.
+To compensate, the Foxen have started charging each other tolls for said passage.
+They don't have much of a currency, but Foxen do love crackers, so those will do.
+Over a given period of M days, on the ith day, two different Foxen
+Wi and Xi will each charge tolls for one of their pieces of property.
+If Yi = "T",
+then Fox Wi will be charging tolls for passage through their tree stump.
+Otherwise, if Yi = "D",
+then Fox Wi will instead be charging tolls for passage through their den.
+Similarly, Fox Xi will be charging tolls for passage through either their tree stump
+(if Zi= "T") or their den (if Zi= "D").
+
+
+
+Each day, whenever a Fox passes through another Fox's den or stump which is subject to tolls on that day,
+they'll normally need to pay up with 2 crackers. However, if they've already paid a toll earlier on that same trip,
+then the property-owning Fox will take pity and only charge them 1 cracker instead of 2.
+As such, a Fox's daily trip may end up costing them at most 3 crackers. A Fox will never charge themselves a toll, of course. If a pair of Foxen both owe each other crackers, they'll still both pay up as normal, rather than attempting to minimize the number of cracker transactions performed.
+
+
+
+The Foxen are having some trouble keeping track of how many crackers they owe one another. On each of the M days, they'd like to count up the total number of crackers which will be charged as part of the tolls for the N trips taken on that day. To avoid dealing with too many large numbers, they'd like to combine these M cracker counts into a single value as follows (where Vi is the ith day's count):
+
+
+
+
+( ... (((V1 * 12,345) + V2) * 12,345 + V3) ... * 12,345 + VM) modulo 1,000,000,007
+
+
+
+Please help the Foxen compute this combined value!
+
+
+Input
+
+
+Input begins with an integer T, the number of different communities of Foxen.
+For each community of Foxen, there is first a line containing the space-separated integers N and M.
+Then N - 1 lines follow, the ith of which contains the space-separated integers
+Ai and Bi.
+Then N - 1 lines follow, the ith of which contains the space-separated integers
+Ci and Di.
+Then M lines follow, the ith of which contains the integers
+Wi and Xi and the characters
+Yi and Zi, all separated by spaces.
+
+
+Output
+
+
+For the ith community of Foxen, print a line containing "Case #i: "
+followed by a single integer, the requested combined value based on the M days' cracker counts, modulo 1,000,000,007.
+
+
+Constraints
+
+
+1 ≤ T ≤ 30
+2 ≤ N ≤ 500,000
+1 ≤ M ≤ 500,000
+1 ≤
+ Ai, Bi,
+ Ci, Di,
+ Wi, Xi
+≤ N
+Both the sum of N values and the sum of M values across all T cases do not exceed 1,500,000.
+
+
+Explanation of Sample
+
+
+In the first case, Fox 1 doesn't need to pay any tolls to get from its den to its tree stump, while Fox 2 must pay 2 crackers to complete its trip due to passing through Fox's 1 tree stump.
+
+
+
+In the second case, 5 crackers will be charged on the first day (the 3 Foxen must pay 0, 2, and 3 crackers, respectively), 2 crackers will be charged on the second day, and none will be charged on the third day. This results in a final answer of (((5 * 12,345) + 2) * 12,345) + 0) modulo 1,000,000,007 = 762,019,815.
+
+
+
+In the third case, 7, 6, and 4 crackers will be charged on each of the three days, respectively.
+
diff --git a/2017/finals/tolls.in b/2017/finals/tolls.in
new file mode 100644
index 0000000000000000000000000000000000000000..c8e361479e70ef32ce03f836e5e723c9b910a55c
--- /dev/null
+++ b/2017/finals/tolls.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1df58783e9feba1244b6e94657061d40c81c94a6d4c1df75f194e0f854256cb0
+size 47154883
diff --git a/2017/finals/tolls.md b/2017/finals/tolls.md
new file mode 100644
index 0000000000000000000000000000000000000000..2e2e7f0135c20c618c2121bd2532de17335f02a0
--- /dev/null
+++ b/2017/finals/tolls.md
@@ -0,0 +1,89 @@
+A group of **N** Foxen reside in a peaceful forest community. Each Fox's
+property consists of a tree stump as well as an underground den. There are
+**N** \- 1 two-way paths on the ground running amongst the tree stumps, with
+the _i_th path connecting the stumps belonging to two different Foxen **Ai**
+and **Bi**, such that all **N** stumps can be reached from one another by
+following a sequence of paths. Similarly, there are **N** \- 1 underground
+tunnels running amongst the dens, with the _i_th tunnel connecting the dens
+belonging to Foxen **Ci** and **Di**, such that all **N** dens can be reached
+from one another. There's additionally a passageway connecting the tree stump
+and den belonging to the 1st Fox, which is the only way in the whole forest to
+get underground from the surface and vice versa.
+
+At night the Foxen sleep in their dens, but during the daytime, they like to
+emerge and relax lazily on their tree stumps. Each day, every Fox takes a trip
+from their den to their tree stump, taking the unique shortest path through
+the system of tunnels and paths to get there. However, this often requires
+passing through other Foxen's properties, which they don't appreciate a whole
+lot. To compensate, the Foxen have started charging each other tolls for said
+passage. They don't have much of a currency, but Foxen do love crackers, so
+those will do. Over a given period of **M** days, on the _i_th day, two
+different Foxen **Wi** and **Xi** will each charge tolls for one of their
+pieces of property. If **Yi** = "T", then Fox **Wi** will be charging tolls
+for passage through their tree stump. Otherwise, if **Yi** = "D", then Fox
+**Wi** will instead be charging tolls for passage through their den.
+Similarly, Fox **Xi** will be charging tolls for passage through either their
+tree stump (if **Zi**= "T") or their den (if **Zi**= "D").
+
+Each day, whenever a Fox passes through another Fox's den or stump which is
+subject to tolls on that day, they'll normally need to pay up with 2 crackers.
+However, if they've already paid a toll earlier on that same trip, then the
+property-owning Fox will take pity and only charge them 1 cracker instead of
+2. As such, a Fox's daily trip may end up costing them at most 3 crackers. A
+Fox will never charge themselves a toll, of course. If a pair of Foxen both
+owe each other crackers, they'll still both pay up as normal, rather than
+attempting to minimize the number of cracker transactions performed.
+
+The Foxen are having some trouble keeping track of how many crackers they owe
+one another. On each of the **M** days, they'd like to count up the total
+number of crackers which will be charged as part of the tolls for the **N**
+trips taken on that day. To avoid dealing with too many large numbers, they'd
+like to combine these **M** cracker counts into a single value as follows
+(where **Vi** is the _i_th day's count):
+
+( ... (((**V1** * 12,345) + **V2**) * 12,345 + **V3**) ... * 12,345 + **VM**)
+modulo 1,000,000,007
+
+Please help the Foxen compute this combined value!
+
+### Input
+
+Input begins with an integer **T**, the number of different communities of
+Foxen. For each community of Foxen, there is first a line containing the
+space-separated integers **N** and **M**. Then **N - 1** lines follow, the
+_i_th of which contains the space-separated integers **Ai** and **Bi**. Then
+**N - 1** lines follow, the _i_th of which contains the space-separated
+integers **Ci** and **Di**. Then **M** lines follow, the _i_th of which
+contains the integers **Wi** and **Xi** and the characters **Yi** and **Zi**,
+all separated by spaces.
+
+### Output
+
+For the _i_th community of Foxen, print a line containing "Case #**i**: "
+followed by a single integer, the requested combined value based on the **M**
+days' cracker counts, modulo 1,000,000,007.
+
+### Constraints
+
+1 ≤ **T** ≤ 30
+2 ≤ **N** ≤ 500,000
+1 ≤ **M** ≤ 500,000
+1 ≤ **Ai**, **Bi**, **Ci**, **Di**, **Wi**, **Xi** ≤ **N**
+Both the sum of **N** values and the sum of **M** values across all **T**
+cases do not exceed 1,500,000.
+
+### Explanation of Sample
+
+In the first case, Fox 1 doesn't need to pay any tolls to get from its den to
+its tree stump, while Fox 2 must pay 2 crackers to complete its trip due to
+passing through Fox's 1 tree stump.
+
+In the second case, 5 crackers will be charged on the first day (the 3 Foxen
+must pay 0, 2, and 3 crackers, respectively), 2 crackers will be charged on
+the second day, and none will be charged on the third day. This results in a
+final answer of (((5 * 12,345) + 2) * 12,345) + 0) modulo 1,000,000,007 =
+762,019,815.
+
+In the third case, 7, 6, and 4 crackers will be charged on each of the three
+days, respectively.
+
diff --git a/2017/finals/tolls.out b/2017/finals/tolls.out
new file mode 100644
index 0000000000000000000000000000000000000000..44b1787fe3c50ccf74f52d98ced5b9f4adf1aa1e
--- /dev/null
+++ b/2017/finals/tolls.out
@@ -0,0 +1,30 @@
+Case #1: 2
+Case #2: 762019815
+Case #3: 66867242
+Case #4: 537335547
+Case #5: 874784450
+Case #6: 2
+Case #7: 24692
+Case #8: 73447302
+Case #9: 669976683
+Case #10: 219446081
+Case #11: 904947270
+Case #12: 409408195
+Case #13: 865385861
+Case #14: 389014816
+Case #15: 181175579
+Case #16: 908478491
+Case #17: 794274425
+Case #18: 546269402
+Case #19: 475069547
+Case #20: 702572093
+Case #21: 326135465
+Case #22: 35062074
+Case #23: 726328157
+Case #24: 388616994
+Case #25: 186249620
+Case #26: 395528232
+Case #27: 912756755
+Case #28: 708169574
+Case #29: 158143482
+Case #30: 67974385
diff --git a/2017/quals/592385891651966.jpg b/2017/quals/592385891651966.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..984472b11c0aec87cae8d6f162ab0d379db0e872
--- /dev/null
+++ b/2017/quals/592385891651966.jpg
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7315bb51ccdf27a89722e1f8450896350098ac723b5090d866dcb18b950d148
+size 5126
diff --git a/2017/quals/fightingthezombie.html b/2017/quals/fightingthezombie.html
new file mode 100644
index 0000000000000000000000000000000000000000..859813622cb3d31a7ac2055aec0c781aae7bbcc7
--- /dev/null
+++ b/2017/quals/fightingthezombie.html
@@ -0,0 +1,86 @@
+
+"Okay, Wizard, cast your spell!"
+
+
+
+But which of your many spells to cast? In the ever-popular role-playing game
+Dungeons & Dragons, or D&D, you determine a spell's damage
+by rolling polyhedral
+dice with 4, 6, 8, 10, 12, or 20 sides. Since there's a lot of dice-rolling
+involved, players use shorthand to denote which dice should be rolled.
+XdY means
+"roll a Y-sided die X times, and sum the rolls''.
+Sometimes, you must add or subtract a value Z after
+you finish rolling, in which case the notation is
+XdY+Z or
+XdY-Z respectively.
+
+
+
+For example, if you roll 2d4+1, you'll end up with a result between 3 and 9
+inclusive. If you roll 1d6-3, your result will be between -2 and 3 inclusive.
+
+
+
+In D&D, wizards are powerful but flimsy spellcasters. As a wizard
+fighting a zombie, your best strategy is to maximize the chance that you can
+kill the zombie with a single spell before it has a chance to retaliate. What
+spell should you cast?
+
+
+
+
+Input
+
+
+Input begins with an integer T, the number of zombies
+you'll fight. For each zombie, there are two lines. The first contains two
+integers, H and S, the minimum amount of
+damage it takes to defeat the zombie, and the number of spells you have prepared,
+respectively. The second line contains S spell descriptions separated by
+single spaces. A spell description is simply the amount of damage a spell does
+in the notation described above.
+
+
+
+
+Output
+
+
+For each zombie, print a line containing the probability of defeating the zombie if you select your spell optimally.
+
+
+
+Absolute and relative errors of up to 1e-6 will be ignored.
+
+
+Constraints
+
+
+1 ≤ T ≤ 1,000
+1 ≤ H ≤ 10,000
+2 ≤ S ≤ 10
+
+
+
+Additionally, the following constraints will hold for each spell:
+
+
+
+1 ≤ X ≤ 20
+Y ∈ {4, 6, 8, 10, 12, 20}
+1 ≤ Z ≤ 10,000, if Z is specified.
+X, Y, and Z
+will be integers with no leading zeros.
+
+
+Explanation of Sample
+
+
+In the first case, you can guarantee a kill with the first spell, which must always do at least 2 damage.
+
+
+
+In the third case, your first spell is the best. If you roll a 4, you'll do the requisite 8 damage. The second spell requires
+rolling a 4 on two dice rather than just one, and the third spell requires rolling a 4 on all three dice.
+
diff --git a/2017/quals/fightingthezombie.in b/2017/quals/fightingthezombie.in
new file mode 100644
index 0000000000000000000000000000000000000000..b7c8a1f9ffb5d31ef6ff39a4acaedde7c73b9a54
--- /dev/null
+++ b/2017/quals/fightingthezombie.in
@@ -0,0 +1,4011 @@
+2005
+2 2
+2d4 1d8
+10 2
+10d6-10 1d6+1
+8 3
+1d4+4 2d4 3d4-4
+40 3
+10d4 5d8 2d20
+10 4
+1d10 1d10+1 1d10+2 1d10+3
+5776 3
+3d20 20d20+8158 8d20-6485
+6906 4
+17d10+6769 3d12 13d20+6694 13d20+6699
+5062 9
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+6590 6
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+1116 4
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+5716 3
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+143 9
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+4538 2
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+534 7
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+7835 5
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+3572 7
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+4928 7
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diff --git a/2017/quals/fightingthezombie.java b/2017/quals/fightingthezombie.java
new file mode 100644
index 0000000000000000000000000000000000000000..bf059cc7c8c8caaadb7ad98ba6445f5ba1918bfb
--- /dev/null
+++ b/2017/quals/fightingthezombie.java
@@ -0,0 +1,107 @@
+// Hacker Cup 2017
+// Qualification Round
+// Fighting The Zombie
+// Wesley May
+
+import java.util.*;
+
+public class FightingTheZombie
+{
+ static int H;
+
+ public static void main(String args[])
+ {
+ double EPS = 0.000001;
+ Scanner scan = new Scanner(System.in);
+ int T = scan.nextInt();
+
+ for(int ca=1;ca <= T;ca++)
+ {
+ H = scan.nextInt();
+ int S = scan.nextInt();
+ Spell[] a = new Spell[S];
+
+ for(int i=0;i < S;i++)
+ {
+ String str = scan.next();
+ int X, Y, Z;
+
+ int didx = str.indexOf("d");
+ int plusidx = str.indexOf("+");
+ int minusidx = str.indexOf("-");
+
+ X = Integer.parseInt(str.substring(0, didx));
+
+ if(plusidx >= 0)
+ {
+ Y = Integer.parseInt(str.substring(didx+1, plusidx));
+ Z = Integer.parseInt(str.substring(plusidx));
+ }
+ else if(minusidx >= 0)
+ {
+ Y = Integer.parseInt(str.substring(didx+1,minusidx));
+ Z = Integer.parseInt(str.substring(minusidx));
+ }
+ else
+ {
+ Y = Integer.parseInt(str.substring(didx+1));
+ Z = 0;
+ }
+
+ a[i] = new Spell(X, Y, Z);
+ }
+
+ Arrays.sort(a);
+
+ System.out.printf("Case #%d: %.6f\n", ca, a[0].p);
+ }
+ }
+
+ static class Spell implements Comparable
+ {
+ int x, y, z;
+ public double p;
+ double[][] dp;
+
+ public Spell(int ix, int iy, int iz)
+ {
+ x = ix;
+ y = iy;
+ z = iz;
+ int newH = H - z;
+
+ if(newH <= 0)
+ {
+ p = 1;
+ return;
+ }
+
+ dp = new double[newH+1][x+1];
+ for(int i=0;i < dp.length;i++)
+ Arrays.fill(dp[i], -1);
+
+ p = f(newH, x);
+ }
+
+ private double f(int h, int d)
+ {
+ if(h <= 0) return 1;
+ if(d == 0) return 0;
+ if(dp[h][d] >= 0) return dp[h][d];
+
+ double ans = 0;
+ for(int i=1;i <= y;i++)
+ {
+ ans += (1.0 / y) * f(h-i, d-1);
+ }
+
+ return dp[h][d] = ans;
+ }
+
+ public int compareTo(Spell that) {
+ if(this.p > that.p) return -1;
+ if(this.p < that.p) return 1;
+ return 0;
+ }
+ }
+}
diff --git a/2017/quals/fightingthezombie.md b/2017/quals/fightingthezombie.md
new file mode 100644
index 0000000000000000000000000000000000000000..f8d82564bfcf209204c3e0dc2b4fde50bea0ba0d
--- /dev/null
+++ b/2017/quals/fightingthezombie.md
@@ -0,0 +1,58 @@
+**"Okay, Wizard, cast your spell!"**
+
+But which of your many spells to cast? In the ever-popular role-playing game
+_Dungeons & Dragons_, or _D&D_, you determine a spell's damage by rolling
+polyhedral dice with 4, 6, 8, 10, 12, or 20 sides. Since there's a lot of
+dice-rolling involved, players use shorthand to denote which dice should be
+rolled. **X**d**Y** means "roll a **Y**-sided die **X** times, and sum the
+rolls''. Sometimes, you must add or subtract a value **Z** after you finish
+rolling, in which case the notation is **X**d**Y**+**Z** or **X**d**Y**-**Z**
+respectively.
+
+For example, if you roll 2d4+1, you'll end up with a result between 3 and 9
+inclusive. If you roll 1d6-3, your result will be between -2 and 3 inclusive.
+
+In _D&D_, wizards are powerful but flimsy spellcasters. As a wizard fighting a
+zombie, your best strategy is to maximize the chance that you can kill the
+zombie with a single spell before it has a chance to retaliate. What spell
+should you cast?
+
+### Input
+
+Input begins with an integer **T**, the number of zombies you'll fight. For
+each zombie, there are two lines. The first contains two integers, **H** and
+**S**, the minimum amount of damage it takes to defeat the zombie, and the
+number of spells you have prepared, respectively. The second line contains
+**S** spell descriptions separated by single spaces. A spell description is
+simply the amount of damage a spell does in the notation described above.
+
+### Output
+
+For each zombie, print a line containing the probability of defeating the
+zombie if you select your spell optimally.
+
+Absolute and relative errors of up to 1e-6 will be ignored.
+
+### Constraints
+
+1 ≤ **T** ≤ 1,000
+1 ≤ **H** ≤ 10,000
+2 ≤ **S** ≤ 10
+
+Additionally, the following constraints will hold for each spell:
+
+1 ≤ **X** ≤ 20
+**Y** ∈ {4, 6, 8, 10, 12, 20}
+1 ≤ **Z** ≤ 10,000, if **Z** is specified.
+**X**, **Y**, and **Z** will be integers with no leading zeros.
+
+### Explanation of Sample
+
+In the first case, you can guarantee a kill with the first spell, which must
+always do at least 2 damage.
+
+In the third case, your first spell is the best. If you roll a 4, you'll do
+the requisite 8 damage. The second spell requires rolling a 4 on two dice
+rather than just one, and the third spell requires rolling a 4 on all three
+dice.
+
diff --git a/2017/quals/fightingthezombie.out b/2017/quals/fightingthezombie.out
new file mode 100644
index 0000000000000000000000000000000000000000..383d492bdb75bfe1439b568bdddb641bb9809f7d
--- /dev/null
+++ b/2017/quals/fightingthezombie.out
@@ -0,0 +1,2005 @@
+Case #1: 1.000000
+Case #2: 0.998520
+Case #3: 0.250000
+Case #4: 0.002500
+Case #5: 0.400000
+Case #6: 1.000000
+Case #7: 0.000233
+Case #8: 1.000000
+Case #9: 1.000000
+Case #10: 1.000000
+Case #11: 0.999959
+Case #12: 1.000000
+Case #13: 0.999869
+Case #14: 0.999892
+Case #15: 1.000000
+Case #16: 1.000000
+Case #17: 1.000000
+Case #18: 1.000000
+Case #19: 1.000000
+Case #20: 0.964421
+Case #21: 0.000000
+Case #22: 0.983925
+Case #23: 0.999995
+Case #24: 1.000000
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diff --git a/2017/quals/lazyloading.html b/2017/quals/lazyloading.html
new file mode 100644
index 0000000000000000000000000000000000000000..84191c238d672d434bd91e39093aef4504468c8b
--- /dev/null
+++ b/2017/quals/lazyloading.html
@@ -0,0 +1,78 @@
+
+Wilson works for a moving company. His primary duty is to load household items into a moving truck.
+Wilson has a bag that he uses to move these items. He puts a bunch of items in the bag, moves them
+to the truck, and then drops the items off.
+
+
+
+Wilson has a bit of a reputation as a lazy worker. Julie is Wilson's supervisor, and she's keen to make sure
+that he doesn't slack off. She wants Wilson to carry at least 50 pounds of items in his bag every time he
+goes to the truck.
+
+
+
+Luckily for Wilson, his bag is opaque. When he carries a bagful of items, Julie can tell how many items are
+in the bag (based on the height of the stack in the bag), and she can tell the weight of the top item. She can't, however,
+tell how much the other items in the bag weigh.
+She assumes that every item in the bag weighs at least as much as this top item, because surely Wilson,
+as lazy as he is, would at least not be so dense as to put heavier items on top of lighter ones. Alas, Julie is woefully
+ignorant of the extent of Wilson's lack of dedication to his duty, and this assumption is frequently incorrect.
+
+
+
+Today there are N items to be moved, and Wilson, paid by the hour as he is, wants to maximize the
+number of trips he makes to move all of them to the truck. What is the maximum number of trips Wilson can make
+without getting berated by Julie?
+
+
+
+Note that Julie is not aware of what items are to be moved today, and she is not keeping track of what Wilson has already
+moved when she examines each bag of items. She simply assumes that each bagful contains a total weight of at least
+k * w
+where k is the number of items in the bag, and w is the weight of the top item.
+
+
+Input
+
+
+Input begins with an integer T, the number of days Wilson "works" at his job.
+For each day, there is first a line containing the integer N.
+Then there are N lines, the ith of which contains a single integer,
+the weight of the ith item, Wi.
+
+
+Output
+
+
+For the ith day, print a line containing "Case #i: " followed by the maximum number
+of trips Wilson can take that day.
+
+
+Constraints
+
+
+1 ≤ T ≤ 500
+1 ≤ N ≤ 100
+1 ≤ Wi ≤ 100
+
+
+
+On every day, it is guaranteed that the total weight of all of the items is at least 50 pounds.
+
+
+
+Explanation of Sample
+
+
+In the first case, Wilson can make two trips by stacking a 30-pound item on top of a 1-pound item,
+making the bag appear to contain 60 pounds.
+
+
+
+In the second case, Wilson needs to put all the items in the bag at once and can only make one trip.
+
+
+
+In the third case, one possible solution is to put the items with odd weight in the bag for the first trip,
+and then the items with even weight in the bag for the second trip, making sure to put the heaviest item on top.
+
diff --git a/2017/quals/lazyloading.in b/2017/quals/lazyloading.in
new file mode 100644
index 0000000000000000000000000000000000000000..5d092edeb62398234660b486b113f326f15ad18b
--- /dev/null
+++ b/2017/quals/lazyloading.in
@@ -0,0 +1,52369 @@
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diff --git a/2017/quals/lazyloading.java b/2017/quals/lazyloading.java
new file mode 100644
index 0000000000000000000000000000000000000000..5dfa3f795727627c9c87776c269cbfea10120aac
--- /dev/null
+++ b/2017/quals/lazyloading.java
@@ -0,0 +1,46 @@
+// Hacker Cup 2017
+// Qualification Round
+// Lazy Loading
+// Wesley May
+
+import java.util.*;
+
+public class LazyLoading
+{
+ public static void main(String args[])
+ {
+ Scanner scan = new Scanner(System.in);
+ int T = scan.nextInt();
+
+ for(int ca=1;ca <= T;ca++)
+ {
+ int N = scan.nextInt();
+
+ int[] W = new int[N];
+
+ for(int i=0;i < N;i++)
+ W[i] = scan.nextInt();
+
+ Arrays.sort(W);
+
+ int ans = 0;
+ int L = 0;
+ int R = N-1;
+
+ while(L <= R)
+ {
+ int count = 1;
+ while(count * W[R] < 50)
+ count++;
+
+ if(count <= R - L + 1)
+ ans++;
+
+ L += count - 1;
+ R--;
+ }
+
+ System.out.println("Case #" + ca + ": " + ans);
+ }
+ }
+}
diff --git a/2017/quals/lazyloading.md b/2017/quals/lazyloading.md
new file mode 100644
index 0000000000000000000000000000000000000000..59715f59ae70b588ee1f5eca319b1f31d2238b85
--- /dev/null
+++ b/2017/quals/lazyloading.md
@@ -0,0 +1,63 @@
+Wilson works for a moving company. His primary duty is to load household items
+into a moving truck. Wilson has a bag that he uses to move these items. He
+puts a bunch of items in the bag, moves them to the truck, and then drops the
+items off.
+
+Wilson has a bit of a reputation as a lazy worker. Julie is Wilson's
+supervisor, and she's keen to make sure that he doesn't slack off. She wants
+Wilson to carry at least 50 pounds of items in his bag every time he goes to
+the truck.
+
+Luckily for Wilson, his bag is opaque. When he carries a bagful of items,
+Julie can tell how many items are in the bag (based on the height of the stack
+in the bag), and she can tell the weight of the top item. She can't, however,
+tell how much the other items in the bag weigh. She assumes that every item in
+the bag weighs at least as much as this top item, because surely Wilson, as
+lazy as he is, would at least not be so dense as to put heavier items on top
+of lighter ones. Alas, Julie is woefully ignorant of the extent of Wilson's
+lack of dedication to his duty, and this assumption is frequently incorrect.
+
+Today there are **N** items to be moved, and Wilson, paid by the hour as he
+is, wants to maximize the number of trips he makes to move all of them to the
+truck. What is the maximum number of trips Wilson can make without getting
+berated by Julie?
+
+Note that Julie is not aware of what items are to be moved today, and she is
+not keeping track of what Wilson has already moved when she examines each bag
+of items. She simply assumes that each bagful contains a total weight of at
+least **k** * **w** where **k** is the number of items in the bag, and **w**
+is the weight of the top item.
+
+### Input
+
+Input begins with an integer **T**, the number of days Wilson "works" at his
+job. For each day, there is first a line containing the integer **N**. Then
+there are **N** lines, the **i**th of which contains a single integer, the
+weight of the **i**th item, **Wi**.
+
+### Output
+
+For the **i**th day, print a line containing "Case #**i**: " followed by the
+maximum number of trips Wilson can take that day.
+
+### Constraints
+
+1 ≤ **T** ≤ 500
+1 ≤ **N** ≤ 100
+1 ≤ **Wi** ≤ 100
+
+On every day, it is guaranteed that the total weight of all of the items is at
+least 50 pounds.
+
+### Explanation of Sample
+
+In the first case, Wilson can make two trips by stacking a 30-pound item on
+top of a 1-pound item, making the bag appear to contain 60 pounds.
+
+In the second case, Wilson needs to put all the items in the bag at once and
+can only make one trip.
+
+In the third case, one possible solution is to put the items with odd weight
+in the bag for the first trip, and then the items with even weight in the bag
+for the second trip, making sure to put the heaviest item on top.
+
diff --git a/2017/quals/lazyloading.out b/2017/quals/lazyloading.out
new file mode 100644
index 0000000000000000000000000000000000000000..24c4fdfdb898d6e888df4a6fe392cfa9b1ece4d1
--- /dev/null
+++ b/2017/quals/lazyloading.out
@@ -0,0 +1,1005 @@
+Case #1: 2
+Case #2: 1
+Case #3: 2
+Case #4: 3
+Case #5: 8
+Case #6: 30
+Case #7: 39
+Case #8: 42
+Case #9: 23
+Case #10: 66
+Case #11: 16
+Case #12: 32
+Case #13: 3
+Case #14: 64
+Case #15: 6
+Case #16: 24
+Case #17: 36
+Case #18: 22
+Case #19: 41
+Case #20: 50
+Case #21: 2
+Case #22: 69
+Case #23: 63
+Case #24: 57
+Case #25: 36
+Case #26: 16
+Case #27: 26
+Case #28: 56
+Case #29: 3
+Case #30: 76
+Case #31: 12
+Case #32: 25
+Case #33: 71
+Case #34: 16
+Case #35: 5
+Case #36: 21
+Case #37: 25
+Case #38: 4
+Case #39: 22
+Case #40: 35
+Case #41: 6
+Case #42: 10
+Case #43: 26
+Case #44: 4
+Case #45: 61
+Case #46: 15
+Case #47: 6
+Case #48: 12
+Case #49: 26
+Case #50: 67
+Case #51: 23
+Case #52: 58
+Case #53: 41
+Case #54: 67
+Case #55: 20
+Case #56: 11
+Case #57: 74
+Case #58: 53
+Case #59: 43
+Case #60: 2
+Case #61: 72
+Case #62: 14
+Case #63: 34
+Case #64: 63
+Case #65: 4
+Case #66: 54
+Case #67: 53
+Case #68: 60
+Case #69: 56
+Case #70: 16
+Case #71: 9
+Case #72: 45
+Case #73: 37
+Case #74: 69
+Case #75: 23
+Case #76: 8
+Case #77: 12
+Case #78: 57
+Case #79: 62
+Case #80: 77
+Case #81: 54
+Case #82: 69
+Case #83: 48
+Case #84: 18
+Case #85: 1
+Case #86: 72
+Case #87: 46
+Case #88: 34
+Case #89: 36
+Case #90: 43
+Case #91: 21
+Case #92: 14
+Case #93: 13
+Case #94: 8
+Case #95: 43
+Case #96: 21
+Case #97: 67
+Case #98: 5
+Case #99: 24
+Case #100: 21
+Case #101: 60
+Case #102: 43
+Case #103: 1
+Case #104: 29
+Case #105: 9
+Case #106: 65
+Case #107: 57
+Case #108: 24
+Case #109: 1
+Case #110: 25
+Case #111: 30
+Case #112: 65
+Case #113: 23
+Case #114: 75
+Case #115: 40
+Case #116: 16
+Case #117: 22
+Case #118: 52
+Case #119: 11
+Case #120: 60
+Case #121: 13
+Case #122: 1
+Case #123: 55
+Case #124: 47
+Case #125: 20
+Case #126: 46
+Case #127: 45
+Case #128: 28
+Case #129: 15
+Case #130: 57
+Case #131: 50
+Case #132: 5
+Case #133: 63
+Case #134: 28
+Case #135: 33
+Case #136: 32
+Case #137: 69
+Case #138: 60
+Case #139: 11
+Case #140: 54
+Case #141: 71
+Case #142: 44
+Case #143: 72
+Case #144: 60
+Case #145: 3
+Case #146: 13
+Case #147: 16
+Case #148: 8
+Case #149: 20
+Case #150: 41
+Case #151: 60
+Case #152: 65
+Case #153: 76
+Case #154: 53
+Case #155: 51
+Case #156: 71
+Case #157: 48
+Case #158: 33
+Case #159: 41
+Case #160: 68
+Case #161: 41
+Case #162: 25
+Case #163: 60
+Case #164: 23
+Case #165: 13
+Case #166: 2
+Case #167: 35
+Case #168: 45
+Case #169: 56
+Case #170: 54
+Case #171: 48
+Case #172: 46
+Case #173: 3
+Case #174: 57
+Case #175: 4
+Case #176: 9
+Case #177: 61
+Case #178: 40
+Case #179: 9
+Case #180: 15
+Case #181: 65
+Case #182: 1
+Case #183: 16
+Case #184: 72
+Case #185: 70
+Case #186: 52
+Case #187: 1
+Case #188: 72
+Case #189: 34
+Case #190: 49
+Case #191: 54
+Case #192: 2
+Case #193: 11
+Case #194: 36
+Case #195: 51
+Case #196: 54
+Case #197: 54
+Case #198: 76
+Case #199: 30
+Case #200: 69
+Case #201: 28
+Case #202: 17
+Case #203: 58
+Case #204: 19
+Case #205: 20
+Case #206: 44
+Case #207: 68
+Case #208: 69
+Case #209: 36
+Case #210: 29
+Case #211: 29
+Case #212: 6
+Case #213: 16
+Case #214: 60
+Case #215: 66
+Case #216: 72
+Case #217: 38
+Case #218: 30
+Case #219: 54
+Case #220: 39
+Case #221: 13
+Case #222: 5
+Case #223: 11
+Case #224: 19
+Case #225: 7
+Case #226: 23
+Case #227: 7
+Case #228: 68
+Case #229: 53
+Case #230: 33
+Case #231: 65
+Case #232: 7
+Case #233: 14
+Case #234: 15
+Case #235: 69
+Case #236: 7
+Case #237: 48
+Case #238: 24
+Case #239: 23
+Case #240: 64
+Case #241: 70
+Case #242: 16
+Case #243: 27
+Case #244: 54
+Case #245: 54
+Case #246: 39
+Case #247: 22
+Case #248: 42
+Case #249: 37
+Case #250: 68
+Case #251: 23
+Case #252: 40
+Case #253: 24
+Case #254: 57
+Case #255: 55
+Case #256: 77
+Case #257: 25
+Case #258: 26
+Case #259: 38
+Case #260: 24
+Case #261: 59
+Case #262: 48
+Case #263: 14
+Case #264: 21
+Case #265: 56
+Case #266: 61
+Case #267: 8
+Case #268: 57
+Case #269: 7
+Case #270: 32
+Case #271: 29
+Case #272: 13
+Case #273: 37
+Case #274: 27
+Case #275: 47
+Case #276: 75
+Case #277: 47
+Case #278: 41
+Case #279: 12
+Case #280: 1
+Case #281: 16
+Case #282: 27
+Case #283: 73
+Case #284: 1
+Case #285: 52
+Case #286: 60
+Case #287: 65
+Case #288: 14
+Case #289: 26
+Case #290: 27
+Case #291: 52
+Case #292: 56
+Case #293: 64
+Case #294: 19
+Case #295: 54
+Case #296: 21
+Case #297: 41
+Case #298: 39
+Case #299: 10
+Case #300: 59
+Case #301: 20
+Case #302: 75
+Case #303: 74
+Case #304: 21
+Case #305: 40
+Case #306: 64
+Case #307: 74
+Case #308: 63
+Case #309: 52
+Case #310: 35
+Case #311: 61
+Case #312: 73
+Case #313: 69
+Case #314: 28
+Case #315: 24
+Case #316: 52
+Case #317: 74
+Case #318: 57
+Case #319: 53
+Case #320: 66
+Case #321: 14
+Case #322: 20
+Case #323: 63
+Case #324: 58
+Case #325: 42
+Case #326: 13
+Case #327: 25
+Case #328: 7
+Case #329: 25
+Case #330: 42
+Case #331: 17
+Case #332: 16
+Case #333: 29
+Case #334: 30
+Case #335: 25
+Case #336: 53
+Case #337: 54
+Case #338: 12
+Case #339: 57
+Case #340: 72
+Case #341: 10
+Case #342: 70
+Case #343: 3
+Case #344: 56
+Case #345: 1
+Case #346: 33
+Case #347: 38
+Case #348: 68
+Case #349: 2
+Case #350: 33
+Case #351: 17
+Case #352: 61
+Case #353: 33
+Case #354: 73
+Case #355: 66
+Case #356: 52
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diff --git a/2017/quals/progresspie.html b/2017/quals/progresspie.html
new file mode 100644
index 0000000000000000000000000000000000000000..f90cfff4aa64005393a449543d4584c8a2e49d2c
--- /dev/null
+++ b/2017/quals/progresspie.html
@@ -0,0 +1,72 @@
+
+Some progress bars fill you with anticipation.
+Some are finished before you know it and make you wonder why there was a progress bar at all.
+
+
+
+Some progress bars progress at a pleasant, steady rate.
+Some are chaotic, lurching forward and then pausing for long periods.
+Some seem to slow down as they go, never quite reaching 100%.
+
+
+
+Some progress bars are in fact not bars at all, but circles.
+
+
+
+On your screen is a progress pie, a sort of progress bar that shows its progress as a sector of a circle.
+Envision your screen as a square on the plane with its bottom-left corner at (0, 0), and its upper-right corner at (100, 100).
+Every point on the screen is either white or black.
+Initially, the progress is 0%, and all points on the screen are white. When the progress percentage, P, is greater than 0%, a sector of angle (P% * 360) degrees
+is colored black, anchored by the line segment from the center of the square to the center of the top side, and proceeding clockwise.
+
+
+
+
+
+While you wait for the progress pie to fill in, you find yourself thinking about whether certain points would be white or black at different amounts of progress.
+
+
+
+Input
+
+
+Input begins with an integer T, the number of points you're curious about.
+For each point, there is a line containing three space-separated integers, P, the amount of progress as a percentage,
+and X and Y, the coordinates of the point.
+
+
+Output
+
+
+For the ith point, print a line containing "Case #i: " followed by the color of the point, either
+"black" or "white".
+
+
+Constraints
+
+
+1 ≤ T ≤ 1,000
+0 ≤ P, X, Y ≤ 100
+
+
+
+Whenever a point (X, Y) is queried, it's guaranteed that all points within a distance of 10-6 of
+(X, Y) are the same color as (X, Y).
+
+
+
+Explanation of Sample
+
+
+In the first case all of the points are white, so the point at (55, 55) is of course white.
+
+
+
+In the second case, (55, 55) is close to the filled-in sector of the circle, but it's still white.
+
+
+
+In the third case, the filled-in sector of the circle now covers (55, 55), coloring it black.
+
+
diff --git a/2017/quals/progresspie.in b/2017/quals/progresspie.in
new file mode 100644
index 0000000000000000000000000000000000000000..b6815c2612707caed33130c55a0b683b3c4b5f02
--- /dev/null
+++ b/2017/quals/progresspie.in
@@ -0,0 +1,2006 @@
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diff --git a/2017/quals/progresspie.java b/2017/quals/progresspie.java
new file mode 100644
index 0000000000000000000000000000000000000000..022991c47783fc8ff6515c3c4115eb9ef1e7c387
--- /dev/null
+++ b/2017/quals/progresspie.java
@@ -0,0 +1,46 @@
+// Hacker Cup 2017
+// Qualification Round
+// Progress Pie
+// Wesley May
+
+import java.util.*;
+
+public class ProgressPie
+{
+ public static void main(String args[])
+ {
+ double EPS = 0.000001;
+ Scanner scan = new Scanner(System.in);
+ int T = scan.nextInt();
+
+ for(int ca=1;ca <= T;ca++)
+ {
+ double p = scan.nextDouble() / 100;
+ double x = scan.nextDouble();
+ double y = scan.nextDouble();
+ boolean ans = solve(p, x, y);
+
+ System.out.println("Case #" + ca + ": " + (ans ? "black" : "white"));
+ }
+ }
+
+ public static boolean solve(double p, double x, double y)
+ {
+ if(p == 0) return false;
+
+ double dx = x - 50;
+ double dy = y - 50;
+ double d = Math.sqrt(dx*dx + dy*dy);
+ if (d > 50) return false;
+
+ if(dx == 0 && dy == 0) return true;
+
+ double theta = Math.atan2(dy, dx);
+ if (theta < 0) theta += 2 * Math.PI;
+ double myp = (2 * Math.PI - theta) / (2 * Math.PI);
+ myp += 0.25;
+ if (myp >= 1) myp -= 1;
+
+ return myp <= p;
+ }
+}
diff --git a/2017/quals/progresspie.md b/2017/quals/progresspie.md
new file mode 100644
index 0000000000000000000000000000000000000000..c80ba176f792c1ca1bd018a873b8f48bbbed1592
--- /dev/null
+++ b/2017/quals/progresspie.md
@@ -0,0 +1,56 @@
+Some progress bars fill you with anticipation. Some are finished before you
+know it and make you wonder why there was a progress bar at all.
+
+Some progress bars progress at a pleasant, steady rate. Some are chaotic,
+lurching forward and then pausing for long periods. Some seem to slow down as
+they go, never quite reaching 100%.
+
+Some progress bars are in fact not bars at all, but circles.
+
+On your screen is a progress pie, a sort of progress bar that shows its
+progress as a sector of a circle. Envision your screen as a square on the
+plane with its bottom-left corner at (0, 0), and its upper-right corner at
+(100, 100). Every point on the screen is either white or black. Initially, the
+progress is 0%, and all points on the screen are white. When the progress
+percentage, **P**, is greater than 0%, a sector of angle (**P**% * 360)
+degrees is colored black, anchored by the line segment from the center of the
+square to the center of the top side, and proceeding clockwise.
+
+![]({{PHOTO_ID:592385891651966}})
+
+While you wait for the progress pie to fill in, you find yourself thinking
+about whether certain points would be white or black at different amounts of
+progress.
+
+### Input
+
+Input begins with an integer **T**, the number of points you're curious about.
+For each point, there is a line containing three space-separated integers,
+**P**, the amount of progress as a percentage, and **X** and **Y**, the
+coordinates of the point.
+
+### Output
+
+For the **i**th point, print a line containing "Case #**i**: " followed by the
+color of the point, either "black" or "white".
+
+### Constraints
+
+1 ≤ **T** ≤ 1,000
+0 ≤ **P**, **X**, **Y** ≤ 100
+
+Whenever a point (**X**, **Y**) is queried, it's guaranteed that all points
+within a distance of 10-6 of (**X**, **Y**) are the same color as (**X**,
+**Y**).
+
+### Explanation of Sample
+
+In the first case all of the points are white, so the point at (55, 55) is of
+course white.
+
+In the second case, (55, 55) is close to the filled-in sector of the circle,
+but it's still white.
+
+In the third case, the filled-in sector of the circle now covers (55, 55),
+coloring it black.
+
diff --git a/2017/quals/progresspie.out b/2017/quals/progresspie.out
new file mode 100644
index 0000000000000000000000000000000000000000..15ad53b9a59cdca7501dfd49e0cf504ce3a9e2a8
--- /dev/null
+++ b/2017/quals/progresspie.out
@@ -0,0 +1,2005 @@
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diff --git a/2017/round1/beachumbrellas.cpp b/2017/round1/beachumbrellas.cpp
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+// Hacker Cup 2017
+// Round 1
+// Beach Umbrellas
+// Jacob Plachta
+
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include
+#include