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Provide tags and a correct Python 3 solution for this coding contest problem. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle is to create a square using the n pieces. He i...
instruction
0
28,497
23
56,994
Tags: brute force, geometry, math, number theory Correct Solution: ``` # template begins ##################################### from io import BytesIO, IOBase import sys import math import os from collections import defaultdict from math import ceil from bisect import bisect_left, bisect_left from time import perf_count...
output
1
28,497
23
56,995
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,498
23
56,996
Yes
output
1
28,498
23
56,997
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,499
23
56,998
Yes
output
1
28,499
23
56,999
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,500
23
57,000
Yes
output
1
28,500
23
57,001
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,501
23
57,002
Yes
output
1
28,501
23
57,003
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,502
23
57,004
No
output
1
28,502
23
57,005
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,503
23
57,006
No
output
1
28,503
23
57,007
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,504
23
57,008
No
output
1
28,504
23
57,009
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle...
instruction
0
28,505
23
57,010
No
output
1
28,505
23
57,011
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,004
23
58,008
"Correct Solution: ``` import math#mathモジュールをインポートする a,b,c = map(int,input().split())#標準入力 i = (math.gcd(a,b))#最大公約数 a *= b#開拓した面積を求める i *= i#正方形の面接を求める print(int(a / i * c))#正方形のに開拓費用をかけた数を出力する ```
output
1
29,004
23
58,009
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,005
23
58,010
"Correct Solution: ``` import math w,h,c=map(int,input().split()) g=math.gcd(w,h) print(int((w/g)*(h/g)*c)) ```
output
1
29,005
23
58,011
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,006
23
58,012
"Correct Solution: ``` def gcd(a, b): if b == 0: return a return gcd(b, a % b) w, h, c = [int(num) for num in input().split()] g = gcd(w, h) print((w // g) * (h // g) * c) ```
output
1
29,006
23
58,013
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,007
23
58,014
"Correct Solution: ``` import math W,H,C = [int(i) for i in input().split()] g = math.gcd(W,H) print(int(((W/g) * (H/g))*C)) ```
output
1
29,007
23
58,015
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,008
23
58,016
"Correct Solution: ``` def g(a,b): if b==0: return a return g(b,a%b) def main(): w,h,c=map(int,input().split()) d=g(w,h) print((w//d)*(h//d)*c) main() ```
output
1
29,008
23
58,017
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,009
23
58,018
"Correct Solution: ``` import math w,h,c = [ int(s) for s in input().split() ] gcd = math.gcd(w,h) print((w//gcd)*(h//gcd)*c) ```
output
1
29,009
23
58,019
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,010
23
58,020
"Correct Solution: ``` W,H,C=map(int,input().split()) mini=10**10 for x in range(1,min(H,W)+1,1): if ( H % x ) or ( W % x ): continue mini=min(mini,(H//x)*(W//x)*C) print(mini) ```
output
1
29,010
23
58,021
Provide a correct Python 3 solution for this coding contest problem. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the nu...
instruction
0
29,011
23
58,022
"Correct Solution: ``` import math W, H, C = map(int, input().split()) g = math.gcd(W, H) print((W // g) * (H // g) * C) ```
output
1
29,011
23
58,023
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. Th...
instruction
0
29,012
23
58,024
Yes
output
1
29,012
23
58,025
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. Th...
instruction
0
29,013
23
58,026
Yes
output
1
29,013
23
58,027
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. Th...
instruction
0
29,014
23
58,028
Yes
output
1
29,014
23
58,029
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. Th...
instruction
0
29,015
23
58,030
Yes
output
1
29,015
23
58,031
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. Th...
instruction
0
29,016
23
58,032
No
output
1
29,016
23
58,033
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. Th...
instruction
0
29,017
23
58,034
No
output
1
29,017
23
58,035
Provide a correct Python 3 solution for this coding contest problem. Let’s try a dice puzzle. The rules of this puzzle are as follows. 1. Dice with six faces as shown in Figure 1 are used in the puzzle. <image> Figure 1: Faces of a die 2. With twenty seven such dice, a 3 × 3 × 3 cube is built as shown in Figure 2....
instruction
0
29,037
23
58,074
"Correct Solution: ``` import sys readline = sys.stdin.readline write = sys.stdout.write D = [ (1, 5, 2, 3, 0, 4), # 'U' (3, 1, 0, 5, 4, 2), # 'R' (4, 0, 2, 3, 5, 1), # 'D' (2, 1, 5, 0, 4, 3), # 'L' ] p_dice = (0, 0, 0, 1, 1, 2, 2, 3)*3 def enumerate_dice(L0): L = L0[:] for k in p_dice: ...
output
1
29,037
23
58,075
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,759
23
59,518
"Correct Solution: ``` def solve(): a, b, c, d = map(int, input().split()) a -= 1 b -= 1 c -= 1 d -= 1 if a > c: a, b, c, d = c, d, a, b for k in range(30, -1, -1): def check(a, b, c, d): if a // 3 ** k == c // 3 ** k and a // 3 ** k % 3 == 1 \ ...
output
1
29,759
23
59,519
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,760
23
59,520
"Correct Solution: ``` q=abs;s=lambda t,i:0--t//3**i;m=lambda a,b,c,d:max([i for i in range(30)if s(a,i)==s(c,i)and s(a,i)%3==2and 1<q(s(b,i)-s(d,i))]+[-1])+1 for _ in[0]*int(input()): a,b,c,d=map(int,input().split());h=m(a,b,c,d);w=m(b,a,d,c) if h==w==0:print(q(b-d)+q(a-c));continue if h<w:h,a,b,c,d=w,b,a,d,c ...
output
1
29,760
23
59,521
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,761
23
59,522
"Correct Solution: ``` Q=int(input()) Query=[tuple(map(int,input().split())) for i in range(Q)] B=[(3,2)] for i in range(2,31): B.append((3**i,B[-1][1]+3**(i-1))) for a,b,c,d in Query: MINX=min(a,c) MAXX=max(a,c) MINY=min(b,d) MAXY=max(b,d) flag=0 for i in range(29,-1,-1): r,q...
output
1
29,761
23
59,523
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,762
23
59,524
"Correct Solution: ``` import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines def solve(A,B,C,D,E=3**30): # 大きさEの穴まで考慮 if not E: return abs(A-C) + abs(B-D) a = A//E b = B//E c = C//E d = D//E if a != c and b != d: ...
output
1
29,762
23
59,525
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,763
23
59,526
"Correct Solution: ``` def solve(A,B,C,D, level): E = 3**level if level == -1: return int(abs(A-C) + abs(B-D)) a,b,c,d = A//E, B//E, C//E, D//E if a != c and b != d: return int(abs(A-C) + abs(B-D)) if a == c and b==d: return solve(A,B,C,D,level-1) if a != c and b==d: ...
output
1
29,763
23
59,527
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,764
23
59,528
"Correct Solution: ``` # PANA2020 q = int(input()) query = [tuple(map(int, input().split())) for _ in range(q)] def man(a, b, c, d): return abs(a - c) + abs(b - d) def solve(a, b, c, d, i, carry): if (a, b) == (c, d): return carry if i == 29: if (a, c) == (1, 1) or (b, d) == (1, 1): ...
output
1
29,764
23
59,529
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,765
23
59,530
"Correct Solution: ``` import sys input=sys.stdin.readline def dist(a,b,c,d,P3): for p in P3: da,ma=divmod(a,p) dc,mc=divmod(c,p) if da!=dc: return abs(a-c)+abs(b-d) if da!=1: a,c=ma,mc continue db,mb=divmod(b,p) dd,md=divmod(d,p) ...
output
1
29,765
23
59,531
Provide a correct Python 3 solution for this coding contest problem. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid. If we divide this grid into nine 3^{K-1} \times 3^{K-1...
instruction
0
29,766
23
59,532
"Correct Solution: ``` import sys sys.setrecursionlimit(10 ** 6) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def MI(): return map(int, sys.stdin.readline().split()) def MI1(): return map(int1, sys.stdin.readline().split()) def LI(): return list(map(int, sy...
output
1
29,766
23
59,533
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,767
23
59,534
Yes
output
1
29,767
23
59,535
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,768
23
59,536
Yes
output
1
29,768
23
59,537
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,769
23
59,538
Yes
output
1
29,769
23
59,539
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,770
23
59,540
Yes
output
1
29,770
23
59,541
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,771
23
59,542
No
output
1
29,771
23
59,543
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,772
23
59,544
No
output
1
29,772
23
59,545
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,773
23
59,546
No
output
1
29,773
23
59,547
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a non-negative integer K, we define a fractal of level K as follows: * A fractal of level 0 is a grid with just one white square. * When K > 0, a fractal of level K is a 3^K \times 3^K grid...
instruction
0
29,774
23
59,548
No
output
1
29,774
23
59,549
Provide a correct Python 3 solution for this coding contest problem. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that stands at point A, puts your right hand on the wall, keep...
instruction
0
29,903
23
59,806
"Correct Solution: ``` def idx_to_wxy(x, y, idx): return (2 * x + 1 + (idx % 2) * (2 - idx), 2 * y + 1 + (1 - idx % 2) * (1 - idx)) ws = [[0]*11 for _ in range(11)] for i in range(1, 10): if i % 2: ws[i][2], ws[i][4], ws[i][6], ws[i][8] = map(int, list(input())) else: ws[i][1], ws[i][3], ws[...
output
1
29,903
23
59,807
Provide a correct Python 3 solution for this coding contest problem. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that stands at point A, puts your right hand on the wall, keep...
instruction
0
29,904
23
59,808
"Correct Solution: ``` def is_wall(x1,y1,x2,y2): if x1<0 or 4<x1 or y1<0 or 4<y1 or x2<0 or 4<x2 or y2<0 or 4<y2: return False elif x1 == x2: if y1>y2: y1,y2 = y2,y1 if y2-y1 != 1: return False return (walls[y1*2+1][x1] == "1") elif y1 == y2: if x1>x2: x1,x2 = x2,x1 ...
output
1
29,904
23
59,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that s...
instruction
0
29,907
23
59,814
Yes
output
1
29,907
23
59,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that s...
instruction
0
29,908
23
59,816
Yes
output
1
29,908
23
59,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that s...
instruction
0
29,909
23
59,818
Yes
output
1
29,909
23
59,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that s...
instruction
0
29,910
23
59,820
Yes
output
1
29,910
23
59,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that s...
instruction
0
29,912
23
59,824
No
output
1
29,912
23
59,825
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that s...
instruction
0
29,913
23
59,826
No
output
1
29,913
23
59,827
Provide a correct Python 3 solution for this coding contest problem. JOI is playing with a nail in the board. As shown in the figure below, JOI stabbed nails in the shape of an equilateral triangle with N sides. A nails are lined up in the ath line (1 ≤ a ≤ N) from the top. The bth nail (1 ≤ b ≤ a) from the left is re...
instruction
0
29,938
23
59,876
"Correct Solution: ``` N,M = map(int,input().split()) d = [ [0]*(N+2) for _ in range(N+2) ] for i in range(M): a,b,x = map(int,input().split()) a -= 1 b -= 1 d[a][b] += 1 d[a][b+1] -= 1 d[a+x+1][b] -= 1 d[a+x+2][b+1] += 1 d[a+x+1][b+x+2] += 1 d[a+x+2][b+x+2] -= 1 # for r in d: print(r) # vertical f...
output
1
29,938
23
59,877
Provide a correct Python 3 solution for this coding contest problem. JOI is playing with a nail in the board. As shown in the figure below, JOI stabbed nails in the shape of an equilateral triangle with N sides. A nails are lined up in the ath line (1 ≤ a ≤ N) from the top. The bth nail (1 ≤ b ≤ a) from the left is re...
instruction
0
29,939
23
59,878
"Correct Solution: ``` n,m = map(int,input().split()) t = [[0]*(n+2) for i in range(n+2)] for i in range(m): a,b,x = map(int,input().split()) a -= 1 b -= 1 t[a][b] += 1 t[a][b+1] -= 1 t[a+x+1][b] -= 1 t[a+x+1][b+x+2] += 1 t[a+x+2][b+1] += 1 t[a+x+2][b+x+2] -= 1 for i in range(n...
output
1
29,939
23
59,879