URAL_1036
用f[i][j]表示递推到第i位时数字和为j的方案数,最后用下乘法原理f[N][S/2]*f[N][S/2]就是最后结果。
由于结果比较大,所以需要高精度。
import java.math.BigInteger;import java.util.Scanner;public class Main { static int N, S; static BigInteger[][] f = new BigInteger[60][510]; public static void main(String[] args) { Scanner cin = new Scanner(System.in); while(cin.hasNext()) { N = cin.nextInt(); S = cin.nextInt(); if(S % 2 == 1) System.out.println("0"); else solve(); } } static void solve() { int i, j, k; BigInteger sum; S /= 2; for(i = 1; i <= S; i ++) f[0][i] = new BigInteger("0"); f[0][0] = new BigInteger("1"); for(i = 1; i <= N; i ++) { sum = new BigInteger("0"); k = 0; for(j = 0; j <= S; j ++) { if(j - k > 9) { sum = sum.add(f[i - 1][k].negate()); ++ k; } sum = sum.add(f[i - 1][j]); f[i][j] = sum; } } System.out.println(f[N][S].multiply(f[N][S])); }}