Untitled

#include <iostream>
using namespace std;

int s, k, n;
int arr[21][21];
int sum;
int res[21];
int dd[21];
int dem;
bool flag;
int ans;

void BackTrack(int i){

	if(i == k && sum == s){
		ans++;
		return;
	}

	if(sum > s)
		return;

	for(int j=0; j<n; j++){
		if(dd[i] == 0 && res[dem-1] <= arr[j][i]){

			dd[i] = 1;
			res[dem++] = arr[j][i];
			sum += arr[j][i];

			BackTrack(i+1);

			sum -= arr[j][i];
			dem--;
			dd[i] = 0;

		}

	}
}

int main(){
	//freopen("vao.txt", "r", stdin);
	int t;
	cin >> t;
	for(int tc=1; tc<=t; tc++){
		cin >> s >> k >> n;

		for(int i=0; i<n; i++){
			for(int j=0; j<k; j++){
				cin >> arr[i][j];
			}
		}

		for(int i=0; i<k; i++){
			dd[i] = 0;
			res[i] = -1;
		}

		res[-1] = -1;
		dem = 0;
		flag = false;
		sum = 0;

		ans = 0;

		BackTrack(0);

		cout << "Case " << tc << endl;

		if(ans != 0)
			cout << ans << endl;
		else
			cout << "-1" << endl;
	}
	return 0;
}



#include <iostream>
#define MAX -1
#define ll long long
using namespace std;

int n;
ll arr[11];
int dd[11];
ll Max;
ll Max1;
ll sum;

void BackTrack(int dem){

	if(dem == n - 3){

		ll Max1 = MAX;
		ll c = 0;
		ll ans[11];
		ll temp = 0;

		for(int i=0; i<n; i++){
			if(dd[i] == 0){
				Max1 = max(Max1, arr[i]);
				ans[c++] = i;
			}
		}

		if(Max1 == arr[ans[1]]){
			if(arr[ans[0]] * arr[ans[2]] > 3 * Max1){
				temp = arr[ans[0]] * arr[ans[2]] + 2 * max(arr[ans[0]], arr[ans[2]]);
			}else{
				temp = 3 * Max1;
			}
		}
		else{
			temp = arr[ans[0]] * arr[ans[2]] + 2 * max(arr[ans[0]], arr[ans[2]]);
		}

		Max = max(Max, sum + temp);

		/*Max1 = MAX;

		for(int i=0; i<n; i++){
			if(dd[i] == 0)
				Max1 = max(Max1, arr[i]);
		}

		Max = max(Max, sum + (2 * Max1));*/

		return;

	}

	for(int i=0; i<n; i++){

		if(dd[i] == 0){

			dd[i] = 1;

			ll left = -1, right = -1;

			for(int k = i-1; k>=0; k--){
				if(dd[k] == 0){
					left = arr[k];
					break;
				}
			}

			for(int k = i+1; k<n; k++){
				if(dd[k] == 0){
					right = arr[k];
					break;
				}
			}

			if(left != -1){
				if(right != -1){
					sum += (left * right);
					BackTrack(dem+1);
					sum -= (left * right);
				}else{
					sum += left;
					BackTrack(dem+1);
					sum -= left;
				}
			}else{
				if(right != -1){
					sum += right;
					BackTrack(dem+1);
					sum -= right;
				}else{
					sum += arr[i];
					BackTrack(dem+1);
					sum -= arr[i];
				}
			}

			dd[i] = 0;
		}
	}

}

int main(){
	//freopen("vao.txt", "r", stdin);
	int t;
	cin >> t;
	for(int tc=1; tc<=t; tc++){

		cin >> n;
		for(int i=0; i<n; i++){
			cin >> arr[i];
		}

		for(int i=0; i<n; i++){
			dd[i] = 0;
		}

		Max = MAX;
		
		ll sum = 0;

		BackTrack(0);

		cout << "Case #" << tc << endl;

		cout << Max << endl;

	}
	return 0;
}


#include <iostream>
#define MAX 999999999
using namespace std;

int n;
int low[301], num[301], pa[301];
bool arr[301][301];
int time_;
int dd[301];
int mt[301][301];

void DFS(int u){
	for(int i=1; i<=n; i++){
		if(mt[u][i] == 1 && dd[i] == 0){
			dd[i] = 1;
			DFS(i);
		}
	}
}


void DFSCC(int u){
	int v;
	time_++;
	num[u] = time_;
	low[u] = MAX;
	for(int v=1; v<=n; v++){
		if(arr[u][v]){
			arr[v][u] = false;
			if(pa[v] == 0){
				pa[v] = u;
				DFSCC(v);
				low[u] = min(low[u], low[v]);
			}else{
				low[u] = min(low[u], num[v]);
			}
		}
	}
}


int main(){

	int t;
	cin >> t;
	while(t--){
		int m;
		cin >> n;
	
		for(int i=1; i<=n; i++){
			for(int j=1; j<=n; j++){
				arr[i][j] = false;
			}
		}

		for(int i=1; i<=n; i++){
			for(int j=1; j<=n; j++){
				cin >> m;
				mt[i][j] = m;
				if(m == 1){
					arr[i][j] = true;
					arr[j][i] = true;
				}
			}
		}

		for(int u=1; u<=n; u++){
			pa[u] = 0;
		}

		int u, v;
		for(int u=1; u<=n; u++){
			if(pa[u] == 0){
				pa[u] = -1;
				DFSCC(u);
			}
		}

		int demCau = 0;
		time_ = 0;

		for(int v=1; v<=n; v++){
			u = pa[v];
			if((u!=-1) && (low[v] >= num[v]))
				demCau++;
		}


		int demCL = 0;
		for(int i=1; i<=n; i++){
			int c = 0;
			for(int j=1; j<=n; j++){
				if(mt[i][j] != 0){
					c = 0;
					break;
				}
				else{
					c++;
				}
			}
			if(c!=0)
				demCL++;
		}


		for(int i=1; i<=n; i++){
			dd[i] = 0;
		}

		int countV = 0;
		for(int i=1; i<=n; i++){
			if(dd[i] == 0){
				countV++;
				dd[i] = 1;
				DFS(i);
			}
		}


		cout << countV << " " << demCL << " " << demCau << endl;
	}
	return 0;
}

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50
6
24 41 22 97 39 41
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84 39 33 59 81
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99 84 56 68 76 99
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89 32 42 44 83 38 24 67
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27 92 81 90 74 88 53 90
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81 98 69 49 36 19 56 43 33
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49 65 28 13 32
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55 97 46 10 12 13 28 12 94
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1 1 80 90 1 1 80 80 1 1
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88 77 1 1 99 77 1 1 77 66
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90 70 30 93 86 92 17 29 59
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49 26 22 17 74 65 10 55 60
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99 31 28 79 82 77 95 86 19
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10 64 42 100 42 32 81 17 68
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1 10 19 56 90 75 42 92 24 1
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84 88 44 29 85 43 27 67 32 71
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63 37 18 82 71 32 15 56 74 98
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47 29 94 43 45 82 88 30 21 78
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38 28 88 54 45 79 86 45 14 79
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62 46 30 93 27 46 69 59 16 77
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65 24 39 18 10 70 83
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44 91 39 84 78 95 90
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27 64 98 25 93 11 82 93 41
6
33 46 31 87 70 45
5
29 88 94 44 74
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16 64 51 16 44 31 75 28 24
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48 24 57 93 96 86 87 100
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39 45 49 50 41 84 61 49 64
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56 46 12 24 47 62 54
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85 29 45 73 39 76 43 11
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18 13 37 83 74 32 96 30
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22 56 81 94 92 29 81
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75 31 35 29 53 22
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89 13 66 15 53 42
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63 89 91 24 23
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57 15 34 69 26 39
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32 30 17 97 24 55
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1 55 1 55 1 55 1 55 1 55
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