bokitu

#include <iostream>

using namespace std;

int oo = 2000000000;

int T, n, m;
int total, nn;
int str[55][27], vsW[55], choose[27], vs[27];
int result;

int Len(char a[]){
	int ll = 0;
	while(a[ll] != '\0') ll++;
	return ll;
}

void backtrack(int index, int from, int cnt){
	if(cnt >= result) return;
	if(index >= total - m){
		if(cnt < result) result = cnt;
		return;
	} 
	for(int i = from; i < 27; i++){
		if(choose[i] == 1 && vs[i] == 0){
			vs[i] = 1;
			int c = 0;
			for(int j = 0; j < n; j++){
				if(vsW[j] != oo && str[j][i] == 1){
					if(vsW[j] == 0) c++;
					vsW[j] ++;
				}
			}

			backtrack(index + 1, i+1, cnt + c);

			for(int j = 0; j < n; j++){
				if(vsW[j] != oo && str[j][i] == 1){
					vsW[j] --;
				}
			}
			vs[i] = 0;
		}
	}
}


int main(){
	freopen("Text.txt", "r", stdin);
	cin >> T;
	
	for(int tc = 1; tc <= T; tc++){
		// input and initial
		char temp[55];
		total = 0, nn = 0;
		for(int j = 0; j < 27; j++) choose[j] = 0, vs[j] = 0;

		cin >> n >> m;
		for(int i = 0; i < n; i++){
			vsW[i] = 0;
			for(int j = 0; j < 27; j++) str[i][j] = 0;

			cin >> temp;

			int cnt = 0;
			int l = Len(temp);
			for(int j = 0; j < l; j++){
				if(str[i][temp[j]-'a'] == 0){
					str[i][temp[j]-'a'] = 1;
					cnt++;
				}
			}

			if(cnt <= m){
				for(int j = 0; j < 27; j++){
					if(str[i][j] == 1 && choose[j] == 0){
						choose[j] = 1;
						total++;
					}
				}
			}else{
				vsW[i] = oo;
				nn++;
			}
		}
		result = n - nn;


		// solve problem
		backtrack(0, 0, 0);

		// output
		cout << "#" << tc << " " << n - nn - result << endl;
	}

	return 0;
}

#include <iostream>

using namespace std;


int n, m;
char words[55][55];
int cnt;
char bangchucai[] = {'a', 'b', 'c', 'd', 'f', 'g', 'h', 'j', 'k', 'l', 'm', 'n', 'p', 'q', 'r', 's', 't', 'v', 'w', 'x', 'y', 'z'}; // 21
int choose[27];
int tmp[22];
int visit[1000];
int max_ans, sum_ans;

int check_bo[55];

int visit_word[55];

void resetvisit() {
	for (int i = 0; i <= 123; i++) {
		visit[i] = 0;
	}
}



void bokitu(int index_char) {
	for (int i = 1; i <= n; i++) {
		if(visit_word[i] == 1) continue;
		int j = 0;

		while (words[i][j] != '\0') {
			if (words[i][j] == bangchucai[index_char]) {
				check_bo[i] += 1;
				if (check_bo[i] == 1) {
					sum_ans--;
				}
				break;

			}
			j++;
		}
	}
}

void update(int index_char) {
	for (int i = 1; i <= n; i++) {
		int j = 0;

		while (words[i][j] != '\0') {
			if (words[i][j] == bangchucai[index_char]) {
				check_bo[i] -= 1;
				if (check_bo[i] == 0) {
					sum_ans++;
				}
				break;

			}
			j++;
		}
	}
}



void backtrack(int index, int from) {
	if (index > cnt - m) {
		if (sum_ans > max_ans) {
			max_ans = sum_ans;
		}
	}

	if (sum_ans <= max_ans) {
		return;
	}

	for (int i = from; i <= 21; i++) {
		if (choose[bangchucai[i] - 'a'] == 1) {
			bokitu(i);

			backtrack(index + 1, i+1);
			
			update(i);
		}
	}
}



void solve(int testcase) {
	cin >> n >> m;

	for (int i = 1; i <= n; i++) {
		cin >> words[i];
		check_bo[i] = 0;
		
	}
	for(int i = 0; i < 27; i++) choose[i] = 0;
	cnt = 0;
	int invalid = 0;
	for (int i = 1; i <= n; i++) {
		visit_word[i] = 0;
		resetvisit();
		int j = 0;
		int dem = 0;
		while (words[i][j] != '\0') {
			if (visit[j] == 0) {
				dem++;
				visit[j] = 1;
			}
			j++;
		}
		
		if (dem > m) {
			//
			//cout << "tu khong the hoc duoc";
			visit_word[i]  = 1;
			invalid++;
		} else{
			int j = 0;
			while (words[i][j] != '\0') {
				if(choose[words[i][j] - 'a'] == 0){
					cnt++;
					choose[words[i][j] - 'a'] = 1;
				}
				j++;
			}
		}
	}
	max_ans = 0;
	sum_ans = n-invalid;

	backtrack(1, 1);

	cout << "#" << testcase << " " << max_ans << endl;
}


int main() {
	//freopen("Text.txt", "r", stdin);
	int t; cin >> t;

	for (int i = 1; i <= t; i++) {
		solve(i);
	}
	return 0;
}

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50 10
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