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UVA - 10003 Cutting Sticks

2015-08-07 10:11 375 查看
//比较巧妙, 不看书也写不出来应该。。

#include<cstdio>
#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
const int maxn = 50 + 5;
const int inf = 100000000;
int v[maxn];
int dp[maxn][maxn];
int d(int l, int r)
{
    if(l >= r-1) return dp[l][r] = 0;
    if(dp[l][r] != inf) return dp[l][r];
    else
    {
        for(int i = l + 1; i < r; ++i)
        {
            dp[l][r] = min(dp[l][r], d(l, i) + d(i, r) + v[r] - v[l]);
        }
    }
    return dp[l][r];
}
int main()
{
    int len;
    while(scanf("%d", &len) == 1 && len)
    {
        memset(v,0,sizeof(v));
        for(int i  =0; i < maxn; ++i)
            for(int j = 0; j < maxn; ++j) dp[i][j] = inf;
        int n;
        cin >> n;
        for(int i = 1; i <= n; ++i) scanf("%d", &v[i]);
        v[0] = 0;
        v[n+1] = len;
        printf("The minimum cutting is %d.\n", d(0,n+1));
    }
    return 0;
}
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