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Provide a correct Python 3 solution for this coding contest problem. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are numbered 0, 1, ..., m. Section i connects Joint i-1 and ...
instruction
0
9,708
16
19,416
"Correct Solution: ``` n = int(input()) grid = [list(map(int, input().split())) for i in range(n)] for i in range(n - 1): if (grid[i][0] + grid[i][1]) % 2 != (grid[i + 1][0] + grid[i + 1][1]) % 2: print(-1) exit() m = 31 D = [2 ** i for i in range(m)] if (grid[0][0] + grid[0][1]) % 2 == 0: D.in...
output
1
9,708
16
19,417
Provide a correct Python 3 solution for this coding contest problem. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are numbered 0, 1, ..., m. Section i connects Joint i-1 and ...
instruction
0
9,709
16
19,418
"Correct Solution: ``` N = int(input()) XY = [] parity = [] for _ in range(N): xy = list(map(int, input().split())) XY.append(xy) parity.append(sum(xy)) def check(ds, l, xy): x = 0 y = 0 for i in range(len(ds)): if l[i] == "R": x += ds[i] elif l[i] == "L": ...
output
1
9,709
16
19,419
Provide a correct Python 3 solution for this coding contest problem. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are numbered 0, 1, ..., m. Section i connects Joint i-1 and ...
instruction
0
9,710
16
19,420
"Correct Solution: ``` N = int(input()) point = [tuple(map(int, input().split())) for i in range(N)] point_farthest = max(point, key=lambda p: abs(p[0]) + abs(p[1])) mod = sum(point_farthest) % 2 D = [1, 1] if mod == 0 else [1] while sum(D) < abs(point_farthest[0]) + abs(point_farthest[1]): D.append(D[-1] * 2) D.re...
output
1
9,710
16
19,421
Provide a correct Python 3 solution for this coding contest problem. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are numbered 0, 1, ..., m. Section i connects Joint i-1 and ...
instruction
0
9,711
16
19,422
"Correct Solution: ``` import sys def f(s,t): if s>=t and -s<=t: return 0 elif s<=t and -s<=t: return 1 elif s<=t and -s>=t: return 2 else: return 3 n=int(input()) xy=[list(map(int,input().split())) for i in range(n)] for i in range(1,n): if sum(xy[i])%2!=sum(xy[i-1...
output
1
9,711
16
19,423
Provide a correct Python 3 solution for this coding contest problem. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are numbered 0, 1, ..., m. Section i connects Joint i-1 and ...
instruction
0
9,712
16
19,424
"Correct Solution: ``` N, *XY = map(int, open(0).read().split()) XY = list(zip(*[iter(XY)] * 2)) mod = sum(XY[0]) % 2 if any((x + y) % 2 != mod for x, y in XY): print(-1) quit() D = [2 ** i for i in reversed(range(32))] + [1] * (mod == 0) print(len(D)) print(*D) for x, y in XY: A = [] for d in D: ...
output
1
9,712
16
19,425
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,713
16
19,426
Yes
output
1
9,713
16
19,427
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,714
16
19,428
Yes
output
1
9,714
16
19,429
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,715
16
19,430
Yes
output
1
9,715
16
19,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,716
16
19,432
Yes
output
1
9,716
16
19,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,717
16
19,434
No
output
1
9,717
16
19,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,718
16
19,436
No
output
1
9,718
16
19,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,719
16
19,438
No
output
1
9,719
16
19,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke is introducing a robot arm with the following properties to his factory: * The robot arm consists of m sections and m+1 joints. The sections are numbered 1, 2, ..., m, and the joints are ...
instruction
0
9,720
16
19,440
No
output
1
9,720
16
19,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,745
16
19,490
Yes
output
1
9,745
16
19,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,746
16
19,492
Yes
output
1
9,746
16
19,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,747
16
19,494
Yes
output
1
9,747
16
19,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,748
16
19,496
Yes
output
1
9,748
16
19,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,749
16
19,498
No
output
1
9,749
16
19,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,750
16
19,500
No
output
1
9,750
16
19,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,751
16
19,502
No
output
1
9,751
16
19,503
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a pond with a rectangular shape. The pond is divided into a grid with H rows and W columns of squares. We will denote the square at the i-th row from the top and j-th column from the le...
instruction
0
9,752
16
19,504
No
output
1
9,752
16
19,505
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,753
16
19,506
"Correct Solution: ``` def main(): from bisect import bisect_left as bl n = int(input()) a = [int(input()) for _ in [0]*n] b = [int(input()) for _ in [0]*n] a.sort() b.sort() for i in range(n): if a[i] > b[i]: a[i], b[i] = b[i], a[i] # print(a) # print(b) mod ...
output
1
9,753
16
19,507
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,754
16
19,508
"Correct Solution: ``` N=int(input()) A=[] mod=10**9+7 for i in range(N): a=int(input()) A.append((a,-1)) for i in range(N): a=int(input()) A.append((a,1)) A.sort() a=0 s=A[0][1] ans=1 for i in range(2*N): if A[i][1]==s: a+=1 else: ans*=a ans%=mod a-=1 if a==0...
output
1
9,754
16
19,509
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,755
16
19,510
"Correct Solution: ``` N = int(input()) src = [] for i in range(2*N): src.append((int(input()), i//N)) ans = 1 MOD = 10**9+7 mem = [0, 0] for a,t in sorted(src): if mem[1-t] > 0: ans = (ans * mem[1-t]) % MOD mem[1-t] -= 1 else: mem[t] += 1 print(ans) ```
output
1
9,755
16
19,511
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,756
16
19,512
"Correct Solution: ``` import sys n = int(input()) lines = sys.stdin.readlines() aaa = list(map(int, lines[:n])) bbb = list(map(int, lines[n:])) coords = [(a, 0) for a in aaa] + [(b, 1) for b in bbb] coords.sort() MOD = 10 ** 9 + 7 remain_type = 0 remain_count = 0 ans = 1 for x, t in coords: if remain_type == t: ...
output
1
9,756
16
19,513
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,757
16
19,514
"Correct Solution: ``` N = int(input()) A = [(int(input()), 0) for i in range(N)] B = [(int(input()), 1) for i in range(N)] mod = 10 ** 9 + 7 X = A + B X.sort() ans = 1 Ar, Br = 0, 0 for x, i in X: if i == 0: if Br > 0: ans *= Br ans %= mod Br -= 1 else: ...
output
1
9,757
16
19,515
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,758
16
19,516
"Correct Solution: ``` N = int(input()) Q = sorted([[int(input()), i//N] for i in range(2*N)]) mod = 10**9 + 7 ans = 1 S = [0, 0] for i in Q: if S[1-i[1]] == 0: S[i[1]] += 1 else: ans = (ans*S[1-i[1]]) % mod S[1-i[1]] -= 1 print(ans) ```
output
1
9,758
16
19,517
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,759
16
19,518
"Correct Solution: ``` mod = 10 ** 9 + 7 N = int(input()) A = [(int(input()), -1) for _ in range(N)] B = [(int(input()), 1) for _ in range(N)] C = sorted(A + B) res = 1 cnt = 0 for _, delta in C: if cnt != 0 and cnt * delta < 0: res *= abs(cnt) res %= mod cnt += delta print(res) ```
output
1
9,759
16
19,519
Provide a correct Python 3 solution for this coding contest problem. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinates are pairwise distinct. Snuke wants to connect each c...
instruction
0
9,760
16
19,520
"Correct Solution: ``` N = int(input()) E = [] for _ in range(N): E += [(int(input()), 1)] for _ in range(N): E += [(int(input()), -1)] E.sort() mod = 10**9 + 7 ans = 1 ab = 0 for e in E: if e[1] * ab < 0: ans *= abs(ab) ans %= mod ab += e[1] print(ans) ```
output
1
9,760
16
19,521
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,761
16
19,522
Yes
output
1
9,761
16
19,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,762
16
19,524
Yes
output
1
9,762
16
19,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,763
16
19,526
Yes
output
1
9,763
16
19,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,764
16
19,528
Yes
output
1
9,764
16
19,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,765
16
19,530
No
output
1
9,765
16
19,531
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,766
16
19,532
No
output
1
9,766
16
19,533
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,767
16
19,534
No
output
1
9,767
16
19,535
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N computers and N sockets in a one-dimensional world. The coordinate of the i-th computer is a_i, and the coordinate of the i-th socket is b_i. It is guaranteed that these 2N coordinat...
instruction
0
9,768
16
19,536
No
output
1
9,768
16
19,537
Provide a correct Python 3 solution for this coding contest problem. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. All the balls with k written on them disappear at the same...
instruction
0
10,640
16
21,280
"Correct Solution: ``` from collections import Counter N,M = map(int,input().split()) A = list(map(int,input().split())) src = [tuple(map(int,input().split())) for i in range(M)] ctr = Counter(A) cover = [0] * (2*N+1) for k,v in ctr.items(): for i in range(k,k-v,-1): cover[i+N] += 1 ans = cover[N+1:].count(...
output
1
10,640
16
21,281
Provide a correct Python 3 solution for this coding contest problem. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. All the balls with k written on them disappear at the same...
instruction
0
10,641
16
21,282
"Correct Solution: ``` import sys from collections import Counter # sys.stdin = open('c1.in') def read_int_list(): return list(map(int, input().split())) def read_int(): return int(input()) def read_str_list(): return input().split() def read_str(): return input() def vanish(p, details=False)...
output
1
10,641
16
21,283
Provide a correct Python 3 solution for this coding contest problem. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. All the balls with k written on them disappear at the same...
instruction
0
10,642
16
21,284
"Correct Solution: ``` import sys input = sys.stdin.readline """ ・とりあえず部分点解法:各クエリに対してO(N) ・いくつかを残していくつかを自由に埋める ・残すもの:被覆区間がoverlapしないように残す ・つまり、区間で覆えている点が処理できて、区間で覆えていない点が他所から持ってこないといけない。 """ N,M = map(int,input().split()) A = [int(x) for x in input().split()] XY = [tuple(int(x) for x in input().split()) for _ in rang...
output
1
10,642
16
21,285
Provide a correct Python 3 solution for this coding contest problem. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. All the balls with k written on them disappear at the same...
instruction
0
10,643
16
21,286
"Correct Solution: ``` from collections import Counter n, m = map(int, input().split()) an = list(map(int, input().split())) ac_ = Counter(an) ac = {i: ac_[i] if i in ac_ else 0 for i in range(1, n + 1)} ad = [0] * n for a, c in ac.items(): for i in range(max(0, a - c), a): ad[i] += 1 ans = ad.count(0) ans...
output
1
10,643
16
21,287
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. Al...
instruction
0
10,644
16
21,288
No
output
1
10,644
16
21,289
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. Al...
instruction
0
10,645
16
21,290
No
output
1
10,645
16
21,291
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. Al...
instruction
0
10,646
16
21,292
No
output
1
10,646
16
21,293
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N balls in a row. Initially, the i-th ball from the left has the integer A_i written on it. When Snuke cast a spell, the following happens: * Let the current number of balls be k. Al...
instruction
0
10,647
16
21,294
No
output
1
10,647
16
21,295
Provide a correct Python 3 solution for this coding contest problem. Snuke loves permutations. He is making a permutation of length N. Since he hates the integer K, his permutation will satisfy the following: * Let the permutation be a_1, a_2, ..., a_N. For each i = 1,2,...,N, |a_i - i| \neq K. Among the N! permu...
instruction
0
10,664
16
21,328
"Correct Solution: ``` from functools import reduce mod = 924844033 frac = [1]*5555 for i in range(2,5555): frac[i] = i * frac[i-1]%mod fraci = [None]*5555 fraci[-1] = pow(frac[-1], mod -2, mod) for i in range(-2, -5555, -1): fraci[i] = fraci[i+1] * (5555 + i + 1) % mod N, K = map(int, input().split()) dp = ...
output
1
10,664
16
21,329
Provide a correct Python 3 solution for this coding contest problem. Snuke loves permutations. He is making a permutation of length N. Since he hates the integer K, his permutation will satisfy the following: * Let the permutation be a_1, a_2, ..., a_N. For each i = 1,2,...,N, |a_i - i| \neq K. Among the N! permu...
instruction
0
10,665
16
21,330
"Correct Solution: ``` from collections import defaultdict n,k = map(int,input().split()) mod = 924844033 rng = 2010 fctr = [1] finv = [1] for i in range(1,rng): fctr.append(fctr[-1]*i%mod) for i in range(1,rng): finv.append(pow(fctr[i],mod-2,mod)) def cmb(n,k): if n<0 or k<0: return 0 else: return fctr...
output
1
10,665
16
21,331
Provide a correct Python 3 solution for this coding contest problem. Snuke loves permutations. He is making a permutation of length N. Since he hates the integer K, his permutation will satisfy the following: * Let the permutation be a_1, a_2, ..., a_N. For each i = 1,2,...,N, |a_i - i| \neq K. Among the N! permu...
instruction
0
10,666
16
21,332
"Correct Solution: ``` from collections import defaultdict, deque, Counter from heapq import heappush, heappop, heapify import math import bisect import random from itertools import permutations, accumulate, combinations, product import sys import string from bisect import bisect_left, bisect_right from math import fac...
output
1
10,666
16
21,333
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke loves permutations. He is making a permutation of length N. Since he hates the integer K, his permutation will satisfy the following: * Let the permutation be a_1, a_2, ..., a_N. For eac...
instruction
0
10,667
16
21,334
No
output
1
10,667
16
21,335
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke loves permutations. He is making a permutation of length N. Since he hates the integer K, his permutation will satisfy the following: * Let the permutation be a_1, a_2, ..., a_N. For eac...
instruction
0
10,668
16
21,336
No
output
1
10,668
16
21,337