POJ1579：Function Run Fun(记忆化)

DescriptionWe all love recursion! Don't we? Consider a three-parameter recursive function w(a, b, c): if a <= 0 or b <= 0 or c <= 0, then w(a, b, c) returns: 1 if a > 20 or b > 20 or c > 20, then w(a, b, c) returns: w(20, 20, 20) if a < b and b < c, then w(a, b, c) returns: w(a, b, c-1) + w(a, b-1, c-1) - w(a, b-1, c) otherwise it returns: w(a-1, b, c) + w(a-1, b-1, c) + w(a-1, b, c-1) - w(a-1, b-1, c-1) This is an easy function to implement. The problem is, if implemented directly, for moderate values of a, b and c (for example, a = 15, b = 15, c = 15), the program takes hours to run because of the massive recursion. InputThe input for your program will be a series of integer triples, one per line, until the end-of-file flag of -1 -1 -1. Using the above technique, you are to calculate w(a, b, c) efficiently and print the result.OutputPrint the value for w(a,b,c) for each triple.Sample Input

1 1 1
2 2 2
10 4 6
50 50 50
-1 7 18
-1 -1 -1

Sample Output

w(1, 1, 1) = 2
w(2, 2, 2) = 4
w(10, 4, 6) = 523
w(50, 50, 50) = 1048576
w(-1, 7, 18) = 1

状态方程都给出来了，直接无脑敲代码就行了

#include <stdio.h>#include <string.h>#include <algorithm>using namespace std;int dp[25][25][25];int dfs(int a,int b,int c){    if(a<=0 || b<=0 || c<=0)        return 1;    if(a>20 || b>20 || c>20)        return dfs(20,20,20);    if(dp[a][b][c])        return dp[a][b][c];    if(a<b && b<c)        dp[a][b][c] = dfs(a,b,c-1)+dfs(a,b-1,c-1)-dfs(a,b-1,c);    else        dp[a][b][c] = dfs(a-1,b,c)+dfs(a-1,b-1,c)+dfs(a-1,b,c-1)-dfs(a-1,b-1,c-1);    return dp[a][b][c];}int main(){    int a,b,c;    memset(dp,0,sizeof(dp));    while(~scanf("%d%d%d",&a,&b,&c))    {        if(a == -1 && b == -1 && c == -1)            break;        printf("w(%d, %d, %d) = %d\n",a,b,c,dfs(a,b,c));    }    return 0;}