ABC145 D - Knight

備忘録

問題

atcoder.jp

回答

import sys
import os
import math
import bisect
import itertools
import collections
import heapq
import queue
import array
import time
import datetime

# 時々使う
# import numpy as np
# from decimal import Decimal, ROUND_HALF_UP
# from scipy.sparse.csgraph import csgraph_from_dense, floyd_warshall

# 再帰の制限設定
sys.setrecursionlimit(10000000)


def ii(): return int(sys.stdin.buffer.readline().rstrip())
def il(): return list(map(int, sys.stdin.buffer.readline().split()))
def it(): return tuple(map(int, sys.stdin.buffer.readline().split()))
def fl(): return list(map(float, sys.stdin.buffer.readline().split()))
def iln(n): return [int(sys.stdin.buffer.readline().rstrip())
                    for _ in range(n)]


def iss(): return sys.stdin.buffer.readline().decode().rstrip()
def sl(): return list(map(str, sys.stdin.buffer.readline().decode().split()))
def isn(n): return [sys.stdin.buffer.readline().decode().rstrip()
                    for _ in range(n)]


def lcm(x, y): return (x * y) // math.gcd(x, y)


# MOD = 10 ** 9 + 7
MOD = 998244353
INF = float('inf')


def combination(n, r, mod=10**9+7):
    n1, r = n+1, min(r, n-r)
    numer = denom = 1
    for i in range(1, r+1):
        numer = numer * (n1-i) % mod
        denom = denom * i % mod
    return numer * pow(denom, mod-2, mod) % mod


def main():
    if os.getenv("LOCAL"):
        sys.stdin = open("input.txt", "r")

    X, Y = il()

    if (X + Y) % 3 != 0:
        print(0)
        exit()

    n = (-1 * X + 2 * Y) // 3
    m = (2 * X - Y) // 3

    if n < 0 or m < 0:
        print(0)
        exit()
    print(combination(n + m, n))


if __name__ == '__main__':
    main()

考え方

AtCoder ABC 145 D - Knight (緑色, 400 点) - けんちょんの競プロ精進記録

ABC 034 C - 経路 - ペンギンかっこいい