Dynamic-Programming/CircularMerging(Rec).cpp at master · robinrst/Dynamic-Programming · GitHub

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#include        "algorithm"
#include        "iostream"
#include        "numeric"
#include        "iomanip"
#include        "cstring"
#include        "math.h"
#include        "bitset"
#include        "string"
#include        "vector"
#include        "ctime"
#include        "queue"
#include        "stack"
#include        "map"
#include        "set"

#include        "ext/pb_ds/assoc_container.hpp" // Common file
#include        "ext/pb_ds/tree_policy.hpp" // Including tree_order_statistics_node_update
#include        "ext/pb_ds/detail/standard_policies.hpp"

using namespace std;
using namespace __gnu_pbds;


#define          f first
#define          lgn 25
#define          endl '\n'
#define          sc second
#define          pb push_back
#define          N (int)500+5
#define          PI acos(-1.0)
// #define          int long long
#define          vi vector<int>
#define          mod 1000000007
#define          ld long double
#define          eb emplace_back
#define          mii map<int,int>
#define          vpii vector<pii>
#define          pii pair<int,int>
#define          pq priority_queue
#define          BLOCK (int)sqrt(N)
#define          test(x) while(x--)
#define          all(x) begin(x),end(x)
#define          allr(x) x.rbegin(),x.rend()
#define          fo(i,a,n) for(int i=a;i<n;i++)
#define          rfo(i,n,a) for(int i=n;i>=a;i--)
#define          FAST ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define          time() cerr << "Time : " << (double)clock() / (double)CLOCKS_PER_SEC << "s\n"
#define 		 bug(...)       __f (#__VA_ARGS__, __VA_ARGS__)

typedef tree< int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update >
OS ;

template <typename Arg1>
void __f (const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << endl; }
template <typename Arg1, typename... Args>
void __f (const char* names, Arg1&& arg1, Args&&... args)
{
     const char* comma = strchr (names + 1, ',');
     cout.write (names, comma - names) << " : " << arg1 << " | "; __f (comma + 1, args...);
}

const long long  INF = 0x3f3f3f3f3f3f3f3f;

int n,m,k,q;
vi a;
vector<long long > pre;
vector< vector<long long > > dp; // dp[i][j] -> minimum sum from i to jth

long long  sum(int l ,int r )
{
	return pre[r] - pre[l-1];
}

long long makeAns(int i , int j )
{
	if( i >= j ) return 0;

	long long& ans = dp[i][j];
	if( ~ans ) return ans;

	ans = INF;

	fo(k,i,j)
	{
		long long now = sum(i,k) + sum(k+1,j);
		ans = min(ans , makeAns(i,k) + makeAns(k+1,j) + now );
	}

	return ans;
}

void go()
{
	cin >> n;
	a.resize(n+1);
	pre.resize(2*n+1);
	dp.assign(2*n + 1 , vector<long long> (2*n + 1 , -1) );

	fo(i,1,n+1) cin >> a[i];

	pre[0] = 0;
	fo(i,1,n+1) pre[i] = pre[i-1] + a[i];

	fo(i,n+1,2*n+1) pre[i] = pre[i-1] + a[i - n];

	long long ans = INF;

	fo(i,1,n+1)
	{
		ans = min( ans , makeAns(i , i + n -1) );
	}

	cout << ans << endl;
}

int32_t main()
{
	FAST;
	int t=1;
	cin>>t;
	test(t) go();
}