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#include <iostream>
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#include <algorithm>
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#include <stack>
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#include <string>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 50005;
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const int hash = 1000003;
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const int mod = 1e9 + 7;
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int k, n, a[15][N], s[15][N], e[N], next[15][N], ans;
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std::vector<int> nums, p[N];
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> k >> n;
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for (int i = 1; i <= k; i++) {
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std::string str;
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cin >> str;
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for (int j = 1; j <= n; j++) {
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a[i][j] = str[j - 1] == '(' ? 1 : -1;
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s[i][j] = s[i][j - 1] + a[i][j];
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= k; j++) {
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e[i] = ((static_cast<long long>(e[i]) * hash % mod + s[j][i]) % mod + mod) % mod;
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}
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nums.push_back(e[i]);
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}
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std::sort(nums.begin(), nums.end());
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nums.erase(std::unique(nums.begin(), nums.end()), nums.end());
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p[0].emplace_back(0);
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for (int i = 1; i <= n; i++) {
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e[i] = std::lower_bound(nums.begin(), nums.end(), e[i]) - nums.begin() + 1;
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p[e[i]].emplace_back(i);
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}
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for (int i = 1; i <= k; i++) {
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std::stack<int> st;
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for (int j = 1; j <= n; j++) {
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while (!st.empty() && s[i][st.top()] > s[i][j]) {
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next[i][st.top()] = j;
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st.pop();
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}
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st.emplace(j);
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}
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}
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for (int i = 1; i <= n; i++) {
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int min = n;
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for (int j = 1; j <= k; j++) {
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if (next[j][i]) {
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min = std::min(min, next[j][i]);
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}
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}
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ans += std::upper_bound(p[e[i]].begin(), p[e[i]].end(), min) - std::lower_bound(p[e[i]].begin(), p[e[i]].end(), i + 1);
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}
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cout << ans << endl;
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return 0;
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}
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@ -1,46 +0,0 @@
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#include <iostream>
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#include <string>
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#include <unordered_map>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 2e6 + 5;
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int n;
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long long ans;
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std::string s[N];
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std::unordered_map<std::string, int> map;
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n;
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for (int i = 1, _; i <= n; i++) {
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cin >> _ >> s[i];
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map[s[i]]++;
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}
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for (int i = 1; i <= n; i++) {
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std::string str, str1(s[i]);
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str.reserve(s[i].size());
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str1.reserve(s[i].size() << 1);
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for (char c : s[i]) {
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str.push_back(c);
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str1.push_back(c);
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if (map.count(str) && str1 == str + s[i]) {
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ans += static_cast<long long>(map[str]) * 2;
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}
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}
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}
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cout << ans - n << endl;
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return 0;
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}
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