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| #include <cstdio> #include <vector> #include <string> #include <iostream> using namespace std; template <class Type> void read(Type &x) { char c; bool flag = false; while ((c = getchar()) < '0' || c > '9') c == '-' && (flag = true); x = c - '0'; while ((c = getchar()) >= '0' && c <= '9') x = (x << 3) + (x << 1) + c - '0'; flag && (x = ~x + 1); } template <class Type> void write(Type x) { x < 0 && (putchar('-'), x = ~x + 1); x > 9 && (write(x / 10), 0); putchar(x % 10 + '0'); } template <class Type> void chkmin (Type &x, Type k) { k < x && (x = k); } typedef long long LL; const int N = 210; const LL inf = 1e14; int n, m; vector <int> nxt[N]; string str[N]; struct Matrix { int n, m; LL w[N][N]; Matrix (int _n, int _m) { n = _n, m = _m; } friend Matrix operator*(Matrix x, Matrix y) { Matrix res(x.n, y.m); for (int i = 0; i <= res.n; i++) for (int j = 0; j <= res.m; j++) { res.w[i][j] = inf; for (int k = 0; k <= x.m; k++) chkmin(res.w[i][j], x.w[i][k] + y.w[k][j]); } return res; } friend Matrix operator^(Matrix b, int k) { Matrix res = b; k--; while (k) { k & 1 && (res = res * b, 0); b = b * b; k >>= 1; } return res; } }; int main () { read(n), read(m); static Matrix A(n, n); for (int i = 0; i <= n; i++) A.w[i][0] = inf; for (int k = 1; k <= n; k++) { cin >> str[k]; A.w[0][k] = str[k].size(); nxt[k].resize(str[k].size() + 1); nxt[k][1] = 0; for (int i = 1, j = 0; i < str[k].size(); i++) { while (j && str[k][i] != str[k][j]) j = nxt[k][j]; j += str[k][i] == str[k][j]; nxt[k][i + 1] = j; } A.w[k][k] = str[k].size() - nxt[k][str[k].size()]; } for (int l = 1; l <= n; l++) for (int r = 1; r <= n; r++) { if (l == r) continue; int j = 0; for (int i = 0; i < str[r].size(); i++) { while (j && str[r][i] != str[l][j]) j = nxt[l][j]; j += str[r][i] == str[l][j]; } A.w[l][r] = str[r].size() - j; } A = A ^ m; LL res = inf; for (int i = 1; i <= n; i++) chkmin(res, A.w[0][i]); write(res); return 0; }
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