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1333_platinum_good_bitstrings
1333
Good Bitstrings
For any two positive integers $a$ and $b$, define the function $\texttt{gen_string}(a,b)$ by the following Python code: def gen_string(a: int, b: int): res = "" ia, ib = 0, 0 while ia + ib < a + b: if ia * b <= ib * a: res += '0' ia += 1 else: res += '1' ib += 1 return res Equivalent C++ code: ...
platinum
http://www.usaco.org/index.php?page=viewproblem2&cpid=1333
http://www.usaco.org/index.php?page=open23results
For any two positive integers $a$ and $b$, define the function $\texttt{gen_string}(a,b)$ by the following Python code: def gen_string(a: int, b: int): res = "" ia, ib = 0, 0 while ia + ib < a + b: if ia * b <= ib * a: res += '0' ia += 1 else: res += '1' ib += 1 return res Equivalent C++ code: ...
[ { "input": "6\n1 1\n3 5\n4 7\n8 20\n4 10\n27 21", "output": "1\n5\n7\n10\n6\n13", "explanation": "", "input_explanation": "", "output_explanation": "" } ]
1
def solve(a, b): crs_below, crs_above = b, a # cross(f_1, f'), cross(f', f_2) ans = 0 on_y_axis = True while True: if crs_below > crs_above: # f_1 = f_1 + f_2 mul = (crs_below - 1) // crs_above ans += mul * (1 + (not on_y_axis)) crs_below -= mul * crs_above...
(Analysis by Benjamin Qi, Reviewed by Richard Qi) Note: The model solutions for all subtasks are very short, though understanding why they work is not easy. Suppose we are trying to compute the answer for $A=a$ and $B=b$. Subtask 2: $O((a+b)^2)$ Let $s=\texttt{gen_string}(a,b)$. For each prefix of $s$, count the numbe...
[ { "input": "6\n1 1\n3 5\n4 7\n8 20\n4 10\n27 21\n", "output": "1\n5\n7\n10\n6\n13\n" }, { "input": "10\n85 13\n71 66\n28 66\n29 71\n96 63\n38 31\n17 68\n36 58\n36 4\n63 33\n", "output": "20\n32\n12\n15\n27\n16\n36\n12\n15\n17\n" }, { "input": "10\n906 527\n608 244\n263 174\n839 281\n153 ...
21
2
256
1330_gold_pareidolia
1330
Pareidolia
"\nPareidolia is the phenomenon where your eyes tend to see familiar patterns in\nimages where none (...TRUNCATED)
gold
http://www.usaco.org/index.php?page=viewproblem2&cpid=1330
http://www.usaco.org/index.php?page=open23results
"\nPareidolia is the phenomenon where your eyes tend to see familiar patterns in\nimages where none (...TRUNCATED)
[{"input":"besssie\n1 1 5 4 6 1 1","output":"1\n4","explanation":"By deleting the 's' at position 4 (...TRUNCATED)
3
"s = input()\ncosts = list(map(int, input().split()))\n\ntarget = \"bessie\"\ndp = [(float(\"-inf\")(...TRUNCATED)
"(Analysis by Danny Mittal)\nLet $s$ be the given string, and $c$ be the given list of deletion cost(...TRUNCATED)
[{"input":"besssie\n1 1 5 4 6 1 1\n","output":"1\n4\n"},{"input":"bebesconsiete\n6 5 2 3 6 5 7 9 8 1(...TRUNCATED)
17
2
256
1326_silver_milk_sum
1326
Milk Sum
"\n**Note: The time limit for this problem is 4s, 2x the default.**\nFarmer John's $N$ cows ($1\\le (...TRUNCATED)
silver
http://www.usaco.org/index.php?page=viewproblem2&cpid=1326
http://www.usaco.org/index.php?page=open23results
"\n**Note: The time limit for this problem is 4s, 2x the default.**\nFarmer John's $N$ cows ($1\\le (...TRUNCATED)
[{"input":"5\n1 10 4 2 6\n3\n2 1\n2 8\n4 5","output":"55\n81\n98","explanation":"For the first query(...TRUNCATED)
1
"\nimport bisect\n\nN = int(input())\narr = list(map(int, input().split()))\nord = sorted(range(N), (...TRUNCATED)
"(Analysis by David Hu)\nNote that it is optimal for Farmer John to milk his cows such that the cow (...TRUNCATED)
[{"input":"5\n1 10 4 2 6\n3\n2 1\n2 8\n4 5\n","output":"55\n81\n98\n"},{"input":"1000\n620 364 41 88(...TRUNCATED)
11
4
256
1327_silver_field_day
1327
Field Day
"\n**Note: The time limit for this problem in Python is 15s. Other languages have the default time (...TRUNCATED)
silver
http://www.usaco.org/index.php?page=viewproblem2&cpid=1327
http://www.usaco.org/index.php?page=open23results
"\n**Note: The time limit for this problem in Python is 15s. Other languages have the default time (...TRUNCATED)
[{"input":"5 3\nGHGGH\nGHHHH\nHGHHG","output":"5\n3\n5","explanation":"The first and third teams dif(...TRUNCATED)
1
"\nC, N = map(int, input().split())\nto_bin = lambda s: sum(1 << i for i in range(C) if s[i] == \"H\(...TRUNCATED)
"(Analysis by Benjamin Qi)\nA naive solution runs in $O(N^2C)$ time and is too slow to pass any inpu(...TRUNCATED)
[{"input":"5 3\nGHGGH\nGHHHH\nHGHHG\n","output":"5\n3\n5\n"},{"input":"10 100000\nGHGHHHGGHH\nHGHHHH(...TRUNCATED)
20
15
256
1328_silver_pareidolia
1328
Pareidolia
"\n**Note: The time limit for this problem is 4s, 2x the default.**\nPareidolia is the phenomenon wh(...TRUNCATED)
silver
http://www.usaco.org/index.php?page=viewproblem2&cpid=1328
http://www.usaco.org/index.php?page=open23results
"\n**Note: The time limit for this problem is 4s, 2x the default.**\nPareidolia is the phenomenon wh(...TRUNCATED)
[{"input":"bessiebessie","output":"14","explanation":"Twelve substrings contain exactly 1 \"bessie\"(...TRUNCATED)
2
"\nt = input()\nanswer = 0\nwaiting = [0] * 7\nrem = len(t)\nfor letter in t:\n waiting[0] += 1\n(...TRUNCATED)
"(Analysis by Danny Mittal, Benjamin Qi)\nLet's first consider the easier problem of computing $B(s)(...TRUNCATED)
[{"input":"bessiebessie\n","output":"14\n"},{"input":"abcdefghssijebessie\n","output":"28\n"},{"inpu(...TRUNCATED)
12
4
256
1325_bronze_rotate_and_shift
1325
Rotate and Shift
"\n**Note: The time limit for this problem is 4s, 2x the default.**\nTo celebrate the start of sprin(...TRUNCATED)
bronze
http://www.usaco.org/index.php?page=viewproblem2&cpid=1325
http://www.usaco.org/index.php?page=open23results
"\n**Note: The time limit for this problem is 4s, 2x the default.**\nTo celebrate the start of sprin(...TRUNCATED)
[{"input":"5 3 4\n0 2 3","output":"1 2 3 4 0","explanation":"For the example above, here are the cow(...TRUNCATED)
1
"\nN, K, T = map(int, input().split())\nA = list(map(int, input().split())) + [N]\n\nans = [-1] * N\(...TRUNCATED)
"(Analysis by Richard Qi)\nFor $N \\le 1000, T \\le 10000$, we can directly simulate the process des(...TRUNCATED)
[{"input":"5 3 4\n0 2 3\n","output":"1 2 3 4 0\n"},{"input":"1000 294 10000\n0 2 6 8 15 17 19 21 24 (...TRUNCATED)
13
4
256
1302_silver_bakery
1302
Bakery
"\nBessie has opened a bakery!\n\nIn her bakery, Bessie has an oven that can produce a cookie in $t_(...TRUNCATED)
silver
http://www.usaco.org/index.php?page=viewproblem2&cpid=1302
http://www.usaco.org/index.php?page=feb23results
"\nBessie has opened a bakery!\n\nIn her bakery, Bessie has an oven that can produce a cookie in $t_(...TRUNCATED)
[{"input":"2\n\n3 7 9\n4 3 18\n2 4 19\n1 1 6\n\n5 7 3\n5 9 45\n5 2 31\n6 4 28\n4 1 8\n5 2 22","outpu(...TRUNCATED)
1
"\nTC = int(input())\n\nfor tc in range(TC):\n _ = input()\n\n N, X, Y = map(int, input().spli(...TRUNCATED)
"(Analysis by David Hu)\nSuppose Bessie's oven ends up taking $x$ units of time to produce a cookie (...TRUNCATED)
[{"input":"2\n\n3 7 9\n4 3 18\n2 4 19\n1 1 6\n\n5 7 3\n5 9 45\n5 2 31\n6 4 28\n4 1 8\n5 2 22\n","out(...TRUNCATED)
11
2
256
1303_silver_cow-libi
1303
Cow-libi
"\n**Note: The time limit for this problem is 4s, two times the default.**\n\nSomebody has been graz(...TRUNCATED)
silver
http://www.usaco.org/index.php?page=viewproblem2&cpid=1303
http://www.usaco.org/index.php?page=feb23results
"\n**Note: The time limit for this problem is 4s, two times the default.**\n\nSomebody has been graz(...TRUNCATED)
[{"input":"2 4\n0 0 100\n50 0 200\n0 50 50\n1000 1000 0\n50 0 200\n10 0 170","output":"2","explanati(...TRUNCATED)
1
"\nimport bisect\n\nG, N = map(int, input().split())\n \ndef read():\n x, y, t = map(int, input()(...TRUNCATED)
"(Analysis by Andi Qu)\nFirst, let's think about how to determine if a cow can go from $(x_1, y_1)$ (...TRUNCATED)
[{"input":"2 4\n0 0 100\n50 0 200\n0 50 50\n1000 1000 0\n50 0 200\n10 0 170\n","output":"2\n"},{"inp(...TRUNCATED)
11
4
256
1299_bronze_hungry_cow
1299
Hungry Cow
"\nBessie is a hungry cow. Each day, for dinner, if there is a haybale in the barn,\nshe will eat on(...TRUNCATED)
bronze
http://www.usaco.org/index.php?page=viewproblem2&cpid=1299
http://www.usaco.org/index.php?page=feb23results
"\nBessie is a hungry cow. Each day, for dinner, if there is a haybale in the barn,\nshe will eat on(...TRUNCATED)
[{"input":"1 5\n1 2","output":"2","explanation":"","input_explanation":"","output_explanation":""},{(...TRUNCATED)
3
"N, T = map(int, input().split())\ndeliveries = [tuple(map(int, input().split())) for _ in range(N)](...TRUNCATED)
"(Analysis by Mihir Singhal)\nWe process the deliveries in time order (as given), keeping track of t(...TRUNCATED)
[{"input":"1 5\n1 2\n","output":"2\n"},{"input":"2 5\n1 2\n5 10\n","output":"3\n"},{"input":"2 5\n1 (...TRUNCATED)
13
2
256
1300_bronze_stamp_grid
1300
Stamp Grid
"\nA stamp painting is a black and white painting on an $N \\times N$ canvas,\nwhere certain cells a(...TRUNCATED)
bronze
http://www.usaco.org/index.php?page=viewproblem2&cpid=1300
http://www.usaco.org/index.php?page=feb23results
"\nA stamp painting is a black and white painting on an $N \\times N$ canvas,\nwhere certain cells a(...TRUNCATED)
[{"input":"4\n\n2\n**\n*.\n1\n*\n\n3\n.**\n.**\n***\n2\n.*\n**\n\n3\n...\n.*.\n...\n3\n.*.\n...\n...(...TRUNCATED)
1
"\nT = int(input())\nfor _ in range(T):\n input()\n N = int(input())\n grid = [list(input()(...TRUNCATED)
"\n(Analysis by Claire Zhang) \nConsider stamping wherever possible - that is, for each position and(...TRUNCATED)
[{"input":"4\n\n2\n**\n*.\n1\n*\n\n3\n.**\n.**\n***\n2\n.*\n**\n\n3\n...\n.*.\n...\n3\n.*.\n...\n...(...TRUNCATED)
14
2
256
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