📄 1672.cpp
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/* This Code is Submitted by wywcgs for Problem 1672 on 2005-12-25 at 01:28:44 */
#include <cstdio>
const int MAX = 256;
const int INF = 2000000000;
int main()
{
int cost[MAX][MAX], p[MAX], q[MAX];
int sum[MAX], bp[MAX][MAX];
int n, i, j, k;
while(scanf("%d", &n) != EOF && n != 0) {
for(i = 1; i <= n; i++) {
scanf("%d", &p[i]);
}
for(i = 0; i <= n; i++) {
scanf("%d", &q[i]);
}
sum[0] = q[0];
bp[0][0] = cost[0][0] = 0;
for(i = 1; i <= n; i++) {
sum[i] = sum[i-1] + p[i] + q[i];
cost[i][i] = 0;
bp[i][i] = i;
}
for(k = 1; k <= n; k++) {
for(i = 0; i+k <= n; i++) {
int m = i + k;
cost[i][m] = INF;
for(j = bp[i][m-1]; j <= bp[i+1][m]; j++) {
if(cost[i][m] > cost[i][j] + cost[j+1][m]) {
cost[i][m] = cost[i][j] + cost[j+1][m];
bp[i][m] = j;
}
}
cost[i][m] += sum[m] - sum[i] + q[i];
}
}
printf("%d\n", cost[0][n]);
}
return 0;
}
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