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Provide tags and a correct Python 3 solution for this coding contest problem. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilateral triangle of side length y. In a single se...
instruction
0
5,486
23
10,972
Tags: greedy, math Correct Solution: ``` y, x = map(int, input().split()) def f(a): a = sorted(a) if a[0] == y: return 0 a[0] = min(sum(a[1:]) - 1, y) return 1 + f(a) print(f([x, x, x])) ```
output
1
5,486
23
10,973
Provide tags and a correct Python 3 solution for this coding contest problem. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilateral triangle of side length y. In a single se...
instruction
0
5,487
23
10,974
Tags: greedy, math Correct Solution: ``` s=input().split() tr=int(s[0]) gl=int(s[1]) list=list(range(3)) list[0]=gl list[1]=gl list[2]=gl b=0 while list[0]!=tr or list[1]!=tr or list[2]!=tr: if (list[1]+list[2]-1)>tr: if list[0]!=tr: list[0]=tr b+=1 else: if list[0]!=tr: ...
output
1
5,487
23
10,975
Provide tags and a correct Python 3 solution for this coding contest problem. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilateral triangle of side length y. In a single se...
instruction
0
5,488
23
10,976
Tags: greedy, math Correct Solution: ``` x, y = map(int, input().split()) a = b = c = y ans = 0 while min(a, b, c) != x: arr = list(sorted([a, b, c])) arr[0] = min(x, arr[1] + arr[2] - 1) a, b, c = arr ans += 1 print(ans) ```
output
1
5,488
23
10,977
Provide tags and a correct Python 3 solution for this coding contest problem. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilateral triangle of side length y. In a single se...
instruction
0
5,489
23
10,978
Tags: greedy, math Correct Solution: ``` #!/usr/bin/env python #-*-coding:utf-8 -*- x,y=map(int,input().split()) N=3 L=N*[y] y=i=0 while x>L[i]: j=(1+i)%N L[i]=L[(i-1)%N]-1+L[j] i=j y+=1 print(y) ```
output
1
5,489
23
10,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,490
23
10,980
Yes
output
1
5,490
23
10,981
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,491
23
10,982
Yes
output
1
5,491
23
10,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,492
23
10,984
Yes
output
1
5,492
23
10,985
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,493
23
10,986
Yes
output
1
5,493
23
10,987
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,494
23
10,988
No
output
1
5,494
23
10,989
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,495
23
10,990
No
output
1
5,495
23
10,991
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,496
23
10,992
No
output
1
5,496
23
10,993
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Memory is now interested in the de-evolution of objects, specifically triangles. He starts with an equilateral triangle of side length x, and he wishes to perform operations to obtain an equilat...
instruction
0
5,497
23
10,994
No
output
1
5,497
23
10,995
Provide a correct Python 3 solution for this coding contest problem. Ordinary Jigsaw puzzles are solved with visual hints; players solve a puzzle with the picture which the puzzle shows on finish, and the diverse patterns of pieces. Such Jigsaw puzzles may be suitable for human players, because they require abilities ...
instruction
0
5,746
23
11,492
"Correct Solution: ``` p_ch = [True] * 9 rot = ((0, 1, 2, 3), (1, 2, 3, 0), (2, 3, 0, 1), (3, 0, 1, 2)) adj = ['c'] * 13 # record indices of right and botoom adjacent edge label. 12 is invalid. rec_adj = [[0, 2], [1, 3], [12, 4], [5, 7], [6, 8], [12, 9], [10, 12], [11, 12], [12, 12]] # refernce indices to ...
output
1
5,746
23
11,493
Provide a correct Python 3 solution for this coding contest problem. Problem statement There are rectangles with vertical and horizontal lengths of h and w, and square squares with a side length of 1 are spread inside. If the upper left cell is (0,0) and the cell to the right of j below (0,0) is represented as (i, j)...
instruction
0
5,778
23
11,556
"Correct Solution: ``` def gcd(a,b): if a == 0: return b else: return gcd(b%a,a) t = int(input()) while t: t -= 1 a,b = map(int, input().split()) c = gcd(a,b) a = a//c b = b//c if a == b: ans1 = 1 ans2 = 0 elif a % 2 == 0 or b % 2 == 0: ans1 = ...
output
1
5,778
23
11,557
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of...
instruction
0
6,095
23
12,190
Tags: geometry Correct Solution: ``` #!/usr/bin/python3 from math import sin, cos, pi, atan2 w, h, a = tuple(map(int, input().split())) if a in [0, 180]: print(w * h) elif a == 90: print(min(w, h)**2) else: a *= pi / 180 w /= 2 h /= 2 base = [(w, h), (-w, h), (-w, -h), (w, -h)] rot = [(x *...
output
1
6,095
23
12,191
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of...
instruction
0
6,096
23
12,192
Tags: geometry Correct Solution: ``` import os import sys from io import BytesIO, IOBase import math def main(): pass BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r...
output
1
6,096
23
12,193
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of...
instruction
0
6,097
23
12,194
Tags: geometry Correct Solution: ``` from math import sin, cos, tan, atan, pi def main(): w, h, a = map(int, input().split()) a = min(a, 180 - a) * pi / 180 if h > w: h, w = w, h if h * (1 + cos(a)) < w * sin(a): res = h * h / sin(a) else: res = h * w - ((w - h * tan(a / 2)...
output
1
6,097
23
12,195
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of...
instruction
0
6,098
23
12,196
Tags: geometry Correct Solution: ``` import math def rot_by_a(p, a): return (p[0] * math.cos(a) - p[1] * math.sin(a), p[0] * math.sin(a) + p[1] * math.cos(a)) h, w, alpha = map(int, input().split()) if h > w: h, w = w, h if alpha > 90: alpha = 180 - alpha ang = math.radians(alpha) b = 2 ...
output
1
6,098
23
12,197
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are...
instruction
0
6,099
23
12,198
No
output
1
6,099
23
12,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are...
instruction
0
6,100
23
12,200
No
output
1
6,100
23
12,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are...
instruction
0
6,101
23
12,202
No
output
1
6,101
23
12,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are...
instruction
0
6,102
23
12,204
No
output
1
6,102
23
12,205
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,413
23
12,826
"Correct Solution: ``` import sys from collections import defaultdict import queue n = int(sys.stdin.readline()) graph = defaultdict(list) X, Y = [[] for i in range(n)], [[] for i in range(n)] atX, atY = defaultdict(list), defaultdict(list) for i in range(n): a, b = map(int, sys.stdin.readline().split()) a -= 1; ...
output
1
6,413
23
12,827
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,414
23
12,828
"Correct Solution: ``` from itertools import* from math import* from collections import* from heapq import* from bisect import bisect_left,bisect_right from copy import deepcopy inf = float("inf") mod = 10**9+7 from functools import reduce import sys sys.setrecursionlimit(10**7) class UnionFind(): def __init__(sel...
output
1
6,414
23
12,829
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,415
23
12,830
"Correct Solution: ``` # 長方形の4点のうち3点が必要なので自明からほど遠い # x,yを2部グラフ、格子を辺とみなす # 連結成分ごとに張られる...... n = int(input()) xy = [list(map(int, input().split())) for _ in range(n)] mx =0 my = 0 for i in range(n): mx = max(mx,xy[i][0]) my = max(my,xy[i][1]) *p, = range(mx+my+1) rank = [1]*(mx+my+1) for i in range(n): xy...
output
1
6,415
23
12,831
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,416
23
12,832
"Correct Solution: ``` n = int(input()) xy = [list(map(int, input().split())) for _ in range(n)] xtoy = {} ytox = {} for x, y in xy: if x not in xtoy: xtoy[x] = [] xtoy[x].append(y) if y not in ytox: ytox[y] = [] ytox[y].append(x) ret = 0 while len(xtoy) > 0: x = next(iter(xtoy)) ...
output
1
6,416
23
12,833
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,417
23
12,834
"Correct Solution: ``` import sys input = sys.stdin.readline max_n = 10**5 ans = 0 n = int(input()) class UnionFind: def __init__(self, n): self.par = [i for i in range(n)] self.sizea = [1 if _ < n//2 else 0 for _ in range(n)] self.sizeb = [0 if _ < n//2 else 1 for _ in range(n)] se...
output
1
6,417
23
12,835
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,418
23
12,836
"Correct Solution: ``` # https://drken1215.hatenablog.com/entry/2019/06/23/004700 # https://atcoder.jp/contests/abc131/submissions/7975278 # https://tjkendev.github.io/procon-library/python/union_find/union_find.html def main(): from collections import Counter import sys input = sys.stdin.readline MX ...
output
1
6,418
23
12,837
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,419
23
12,838
"Correct Solution: ``` import sys sys.setrecursionlimit(2147483647) INF=float("inf") MOD=10**9+7 input=lambda :sys.stdin.readline().rstrip() def resolve(): V=100005 n=int(input()) E=[[] for _ in range(V*2)] for _ in range(n): x,y=map(int,input().split()) y+=V E[x].append(y) ...
output
1
6,419
23
12,839
Provide a correct Python 3 solution for this coding contest problem. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \neq c, b \neq d) such that there are dots at exactly thre...
instruction
0
6,420
23
12,840
"Correct Solution: ``` import sys sys.setrecursionlimit(10 ** 7) def dfs(G, F, crr, pre, ret, st): F[crr] = False if crr < 10**5: ret[0] += 1 else: ret[1] += 1 for nxt in G[crr]: if nxt == pre: continue p, q = crr, nxt if q < p: p, q = q, ...
output
1
6,420
23
12,841
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,421
23
12,842
Yes
output
1
6,421
23
12,843
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,422
23
12,844
Yes
output
1
6,422
23
12,845
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,423
23
12,846
Yes
output
1
6,423
23
12,847
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,424
23
12,848
Yes
output
1
6,424
23
12,849
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,425
23
12,850
No
output
1
6,425
23
12,851
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,426
23
12,852
No
output
1
6,426
23
12,853
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,427
23
12,854
No
output
1
6,427
23
12,855
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N dots in a two-dimensional plane. The coordinates of the i-th dot are (x_i, y_i). We will repeat the following operation as long as possible: * Choose four integers a, b, c, d (a \n...
instruction
0
6,428
23
12,856
No
output
1
6,428
23
12,857
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,493
23
12,986
"Correct Solution: ``` EPS = 10**-10 n = int(input()) pos = [] for _ in range(n): pos.append(list(map(float, input().split()))) for i in range(n): vec_ax = pos[i][2]-pos[i][0] vec_ay = pos[i][3]-pos[i][1] vec_bx = pos[i][6]-pos[i][4] vec_by = pos[i][7]-pos[i][5] if abs(vec_bx*vec_ay - vec_by*vec_ax) < EPS...
output
1
6,493
23
12,987
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,494
23
12,988
"Correct Solution: ``` def cross_product(a,b): return (a.conjugate()*b).imag N = int(input().strip()) for _ in range(N): P = list(map(float,input().strip().split())) for i in range(len(P)): P[i] = int(P[i]*1000000.0) z = complex(P[0]-P[2],P[1]-P[3]) w = complex(P[4]-P[6],P[5]-P[7]) if ab...
output
1
6,494
23
12,989
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,495
23
12,990
"Correct Solution: ``` import math import cmath def cross_product(a,b): return (a.conjugate()*b).imag n = int(input()) for i in range(n): L = list(map(float,input().split())) a,b,c,d = [complex(L[j*2],L[j*2+1]) for j in range(4)] vec_A = b-a vec_B = d-c if abs(cross_product(vec_A,vec_B)) < 1e-11...
output
1
6,495
23
12,991
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,496
23
12,992
"Correct Solution: ``` E = 10 ** -10 def check(lst): x1, y1, x2, y2, x3, y3, x4, y4 = lst vabx, vaby = x2 - x1, y2 - y1 vcdx, vcdy = x4 - x3, y4 - y3 if abs(vabx * vcdy - vcdx * vaby) < E: return True else: return False n = int(input()) for _ in range(n): plst = list(map(float, input().split())) ...
output
1
6,496
23
12,993
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,497
23
12,994
"Correct Solution: ``` n = int(input()) for _ in range(n): x1, y1, x2, y2, x3, y3, x4, y4 = map(float, input().split()) abx = x2 - x1 aby = y2 - y1 cdx = x4 - x3 cdy = y4 - y3 if abs(aby * cdx) < 1e-10 and abs(cdy * abx) < 1e-10: print(['NO', 'YES'][abs(abx - cdx) < 1e-10 or abs(aby - cd...
output
1
6,497
23
12,995
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,498
23
12,996
"Correct Solution: ``` import math def equal(x, y): return math.fabs(x - y) <= 10 ** (-10) def spam(_x1, _y1, _x2, _y2): if _x1 > _x2: return _x1, _y1, _x2, _y2 else: return _x2, _y2, _x1, _y1 for i in range(int(input())): x1, y1, x2, y2, x3, y3, x4, y4 = list(map(float, input().sp...
output
1
6,498
23
12,997
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,499
23
12,998
"Correct Solution: ``` n = int(input()) for i in range(n): x1, y1, x2, y2, x3, y3, x4, y4 = map(float, input().split()) v1x = x1 - x2 v1y = y1 - y2 v2x = x3 - x4 v2y = y3 - y4 if abs(v1x * v2y - v2x * v1y) < 10 ** -10 : print("YES") else: print("NO") ```
output
1
6,499
23
12,999
Provide a correct Python 3 solution for this coding contest problem. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines are parallel, your program should prints "YES" and if not...
instruction
0
6,500
23
13,000
"Correct Solution: ``` # AOJ 0021: Parallelism # Python3 2018.6.15 bal4u EPS = 1e-11 def dot(a, b): return a.real*b.real + a.imag*b.imag def cross(a, b): return a.real*b.imag - a.imag*b.real def norm(a): return a.real**2 + a.imag**2 def project(line, p): base = line[1]-line[0] r = dot(p-line[0], base) / nor...
output
1
6,500
23
13,001
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines a...
instruction
0
6,501
23
13,002
Yes
output
1
6,501
23
13,003
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines a...
instruction
0
6,502
23
13,004
Yes
output
1
6,502
23
13,005
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines a...
instruction
0
6,503
23
13,006
Yes
output
1
6,503
23
13,007
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are four points: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Write a program which determines whether the line $AB$ and the line $CD$ are parallel. If those two lines a...
instruction
0
6,504
23
13,008
Yes
output
1
6,504
23
13,009