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OPTCUT.cpp
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OPTCUT.cpp
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#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> ii;
typedef unsigned long long ull;
#define X first
#define Y second
#define pb push_back
#define mp make_pair
#define ep emplace_back
#define EL printf("\n")
#define sz(A) (int) A.size()
#define FOR(i,l,r) for (int i=l;i<=r;i++)
#define FOD(i,r,l) for (int i=r;i>=l;i--)
#define fillchar(a,x) memset(a, x, sizeof (a))
#define faster ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
const int N = 3000, oo = 100000000;
int n;
ll f[N][N], a[N], s[N][N];
int main() {
// freopen("INP.TXT", "r", stdin);
// freopen("OUT.TXT", "w", stdout);
scanf("%d", &n);
for (int i=1; i<=n; i++) {
scanf("%d", &a[i]);
a[i] += a[i-1];
}
for (int i=1; i<=n; i++) s[i][i] = i;
for (int j=2; j<=n; j++)
for (int i=j-1; i>0; i--) {
f[i][j] = oo;
for (int k=s[i][j-1]; k<=s[i+1][j]; k++) {
if (f[i][j] > f[i][k] + f[k+1][j] + a[j]-a[i-1]) {
f[i][j] = f[i][k] + f[k+1][j] + a[j]-a[i-1];
s[i][j] = k;
}
}
}
printf("%lld", f[1][n]);
return 0;
}