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Cod sursa(job #307546)
#include <cstdio>
#include <algorithm>
#define maxn 210
#define inf 2000000000
using namespace std;
struct punct {
int x, y;
};
int n, i, j, mn, k;
int cs[maxn][maxn], a[maxn][maxn], b[maxn][maxn];
punct v[maxn];
bool cmp(punct a, punct b) {
if (a.x < b.x)
return true;
return false;
}
inline int max(int a, int b) {
if (a > b)
return a;
return b;
}
int main() {
freopen("wanted.in", "r", stdin);
freopen("wanted.out", "w", stdout);
scanf("%d", &n);
for (i = 1; i <= n; i++)
scanf("%d%d", &v[i].x, &v[i].y);
sort(v + 1, v + n + 1, cmp);
for (i = 0; i <= n; i++)
for (j = 0; j <= n; j++)
cs[i][j] = v[i].y + v[j].y + abs(v[i].x - v[j].x);
for (i = 1; i <= n; i++) {
a[i][i] = cs[i - 1][i];
b[i][i] = cs[i][i + 1];
}
for (i = n - 1; i > 0; i--)
for (j = i + 1; j <= n; j++) {
mn = inf;
for (k = i; k <= j; k++)
if (max(a[k + 1][j] + cs[j + 1][k], b[i][k - 1] + cs[j + 1][k]) < mn)
mn = max(a[k + 1][j] + cs[j + 1][k], b[i][k - 1] + cs[j + 1][k]);
b[i][j] = mn;
mn = inf;
for (k = i; k <= j; k++)
if (max(a[k + 1][j] + cs[i - 1][k], b[i][k - 1] + cs[i - 1][k]) < mn)
mn = max(a[k + 1][j] + cs[i - 1][k], b[i][k - 1] + cs[i - 1][k]);
a[i][j] = mn;
}
/* for (i = 1; i <= n; i++) {
for (j = 1; j <= n; j++)
printf("%d ", a[i][j]);
printf("\n");
}
printf("\n");
for (i = 1; i <= n; i++) {
for (j = 1; j <= n; j++)
printf("%d ", b[i][j]);
printf("\n");
}
printf("\n");*/
printf("%d\n", a[1][n]);
return 0;
}