We have a weighted directed graph with N vertices numbered 0 to N-1.

The graph initially has N-1 edges. The i-th edge (0 \leq i \leq N-2) is directed from Vertex i to Vertex i+1 and has a weight of 0.

Snuke will now add a new edge (i → j) for every pair i, j (0 \leq i,j \leq N-1,\ i \neq j). The weight of the edge will be -1 if i < j, and 1 otherwise.

Ringo is a boy. A negative cycle (a cycle whose total weight is negative) in a graph makes him sad. He will delete some of the edges added by Snuke so that the graph will no longer contain a negative cycle. The cost of deleting the edge (i → j) is A_{i,j}. He cannot delete edges that have been present from the beginning.

Find the minimum total cost required to achieve Ringo's objective.

Constraints

* 3 \leq N \leq 500
* 1 \leq A_{i,j} \leq 10^9
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N
A_{0,1} A_{0,2} A_{0,3} \cdots A_{0,N-1}
A_{1,0} A_{1,2} A_{1,3} \cdots A_{1,N-1}
A_{2,0} A_{2,1} A_{2,3} \cdots A_{2,N-1}
\vdots
A_{N-1,0} A_{N-1,1} A_{N-1,2} \cdots A_{N-1,N-2}


Output

Print the minimum total cost required to achieve Ringo's objective.

Examples

Input

3
2 1
1 4
3 3


Output

2


Input

4
1 1 1
1 1 1
1 1 1
1 1 1


Output

2


Input

10
190587 2038070 142162180 88207341 215145790 38 2 5 20
32047998 21426 4177178 52 734621629 2596 102224223 5 1864
41 481241221 1518272 51 772 146 8805349 3243297 449
918151 126080576 5186563 46354 6646 491776 5750138 2897 161
3656 7551068 2919714 43035419 495 3408 26 3317 2698
455357 3 12 1857 5459 7870 4123856 2402 258
3 25700 16191 102120 971821039 52375 40449 20548149 16186673
2 16 130300357 18 6574485 29175 179 1693 2681
99 833 131 2 414045824 57357 56 302669472 95
8408 7 1266941 60620177 129747 41382505 38966 187 5151064


Output

2280211
#include <bits/stdc++.h>
using namespace std;


#define TRACE

#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
	cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
	const char* comma = strchr(names + 1, ',');cerr.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif

#define rep(i, n)    for(int i = 0; i < (n); ++i)
#define repA(i, a, n)  for(int i = a; i <= (n); ++i)
#define repD(i, a, n)  for(int i = a; i >= (n); --i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define fill(a)  memset(a, 0, sizeof (a))
#define fst first
#define snd second
#define mp make_pair
#define pb push_back
typedef long double ld;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

void pre(){


}

void solve(){


}
int a[509][509];
ll s1[509][509],s2[509][509];
ll tot1[509][509],tot2[509][509];
ll b[509][509];
int main() {
	cin.sync_with_stdio(0); cin.tie(0);
	cin.exceptions(cin.failbit);
	pre();
	int n;cin>>n;
	rep(i,n){
		rep(j,i) cin>>a[i][j],s2[i][j]=a[i][j];
		repA(j,i+1,n-1) cin>>a[i][j],s1[j][i]=a[i][j];
	}
	rep(i,n) repD(j,i-1,0) s1[i][j]+=s1[i][j+1],s2[i][j]+=s2[i][j+1];
	rep(i,n) repD(j,i-1,0){
		tot1[i][j]=s1[i][j]+tot1[i-1][j];
		tot2[i][j]=s2[i][j];
	}
	repD(i,n-2,0) repD(j,i-1,0) tot2[i][j]+=tot2[i+1][j];
	ll ans = 1e18;
	rep(i,n-1){
		ans=min(ans,tot1[i][0]+tot1[n-1][i+1]);
		b[0][i+1]=tot1[i][0];
	}
	trace(ans);
	repA(i,1,n-2){
		repA(j,0,i-1){
			b[j+1][i+1]=1e18;
			repA(k,-1,j-1){
				ll cur=b[k+1][j+1]+tot1[i][j+1];
				cur+=tot2[i+1][k+1]-tot2[i+1][j+1];
				b[j+1][i+1]=min(b[j+1][i+1],cur);
				ans=min(ans,cur+tot1[n-1][i+1]);
			}
		}
	}
	cout<<ans;
	return 0;
}

