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#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long powmod(long long a, long long b) { long long res = 1; a %= mod; for (; b; b >>= 1) { if (b & 1) res = res * a % mod; a = a * a % mod; } return res; } int n, m; vector<string> input; int dp[1 << 20]; int cost[20][20]; int search(int idx) { int& ret = dp[idx]; if (ret != -1) return ret; if (idx == 0) return 0; int ret2 = INT_MAX; int idx1 = idx; int nIdx1 = 0; for (int i = 20; i >= 0; i--) { if (idx1 & (1 << i)) { nIdx1 = i; idx1 -= (1 << i); break; } } int idx2 = idx & ~(1 << nIdx1); int ret1 = search(idx2); for (int i = 0; i < (int)m; i++) { idx2 = idx & ~(1 << nIdx1); ret2 = min(ret2, cost[nIdx1][i] + ret1); int sum = 0, maxV = 0; for (int j = 0; j < (int)n; j++) if (input[j][i] == input[nIdx1][i]) { sum += cost[j][i]; idx2 &= ~(1 << j); maxV = max(maxV, cost[j][i]); } ret2 = min(ret2, sum - maxV + search(idx2)); } return ret = ret2; } int main() { memset(dp, -1, sizeof(dp)); cin >> n >> m; for (int i = 0; i < (int)n; i++) { string s; cin >> s; input.push_back(s); } for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)m; j++) cin >> cost[i][j]; cout << search((1 << n) - 1) << endl; int a = 3; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; char s[505][505]; int dp[1 << 21]; int a[202][202], bit[30][30], cost[40][40]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int ans = 0; int maxn = -inf; for (int k = 0; k < n; k++) if (s[i][j] == s[k][j]) { ans += a[k][j]; maxn = max(maxn, a[k][j]); bit[i][j] |= 1 << k; } ans -= maxn; cost[i][j] = ans; } for (int i = 1; i < (1 << n); i++) dp[i] = inf; dp[0] = 0; for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < n; j++) if (!(i & (1 << j))) { for (int k = 0; k < m; k++) { dp[i | (1 << j)] = min(dp[i | (1 << j)], dp[i] + a[j][k]); dp[i | bit[j][k]] = min(dp[i | bit[j][k]], dp[i] + cost[j][k]); } } } cout << dp[(1 << n) - 1] << endl; }
#include <bits/stdc++.h> using namespace std; const int maxn = 25; const int maxmask = (1 << 21) + 5; const int inf = 1e9; int ans[maxmask]; char p[maxn][maxn]; int curmask[30]; int sumcost[30]; int maxcost[30]; int a[maxn][maxn]; int n, m; void upd(int &a, int b) { a = min(a, b); } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { scanf("%s", p[i]); } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); } int km = 1 << n; for (int mask = 0; mask < km; mask++) ans[mask] = inf; ans[0] = 0; for (int i = 0; i < m; i++) { for (int c = 0; c < 26; c++) { curmask[c] = 0; sumcost[c] = 0; maxcost[c] = 0; } for (int j = 0; j < n; j++) { curmask[p[j][i] - 'a'] |= (1 << j); sumcost[p[j][i] - 'a'] += a[j][i]; maxcost[p[j][i] - 'a'] = max(maxcost[p[j][i] - 'a'], a[j][i]); } for (int mask = 0; mask < km; mask++) { for (int c = 0; c < 26; c++) if (curmask[c] != 0) { upd(ans[mask | curmask[c]], ans[mask] + sumcost[c] - maxcost[c]); } for (int j = 0; j < n; j++) { upd(ans[mask | (1 << j)], ans[mask] + a[j][i]); } } } cout << ans[km - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 20; int n, m, val[MAXN][MAXN], d[1 << MAXN], mx[30][30], sm[30][30], mask[30][30]; string s[MAXN]; int main() { cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s[i]; for (int j = 0; j < m; j++) mask[j][s[i][j] - 'a'] |= 1 << i; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { cin >> val[i][j]; int &temp = mx[j][s[i][j] - 'a']; temp = max(temp, val[i][j]); sm[j][s[i][j] - 'a'] += val[i][j]; } memset(d, 63, sizeof(d)); d[0] = 0; for (int ms = 1; ms < 1 << n; ms++) { int v = __builtin_ctz(ms & -ms); for (int j = 0; j < m; j++) { d[ms] = min(d[ms], d[ms ^ 1 << v] + val[v][j]); int ch = s[v][j] - 'a'; d[ms] = min(d[ms], d[(ms ^ mask[j][ch]) & ms] + sm[j][ch] - mx[j][ch]); } } cout << d[(1 << n) - 1] << "\n"; return 0; }
#include <bits/stdc++.h> const long long mod = 1000000007ll; const double pi = acos(-1.0); using namespace std; long long n, m; string str[25]; long long cost[25][25]; long long dp[1 << 21]; vector<long long> samechar[25][25]; long long solve(long long mask) { if (mask == (1 << n) - 1) { return 0; } long long &mem = dp[mask]; if (mem != -1) return mem; long long ans = 100000000000; long long cur = 0; for (long long i = 0; i < n; i++) { if (!(mask & (1 << i))) { cur = i; break; } } long long maxcst, samecharind = 0, totalcost; long long newmask = mask; for (long long j = 0; j < m; j++) { totalcost = 0; maxcst = -1; newmask = mask; ans = min(ans, cost[cur][j] + solve(mask ^ (1 << cur))); for (long long k = 0; k < samechar[cur][j].size(); k++) { samecharind = samechar[cur][j][k]; totalcost += cost[samecharind][j]; maxcst = max(maxcst, cost[samecharind][j]); newmask |= (1 << samecharind); } totalcost -= maxcst; ans = min(ans, totalcost + solve(newmask)); } return mem = ans; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> m; for (long long i = 0; i < n; i++) cin >> str[i]; for (long long i = 0; i < n; i++) { for (long long j = 0; j < m; j++) { cin >> cost[i][j]; } } for (long long s = 0; s < n; s++) { for (long long j = 0; j < m; j++) { for (long long i = 0; i < n; i++) { if (str[i][j] == str[s][j]) { samechar[s][j].push_back(i); } } } } memset(dp, -1, sizeof(dp)); cout << solve(0) << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int SIZE = 25; const int MOD = 1E9 + 7; const long double EPS = 1e-14; const int INF = 0x3f3f3f3f; string s[SIZE]; int custo[SIZE][SIZE]; int custoTotal[SIZE][SIZE]; int maskChar[SIZE][SIZE]; int pd[1 << 20]; int n, m; int melhor(int mask) { if (~pd[mask]) return pd[mask]; int first = -1; for (int i = 0; i < n; i++) { if (!(mask & (1 << i))) { first = i; break; } } if (first == -1) { return pd[mask] = 0; } int best = INF; for (int i = 0; i < m; i++) { best = min(best, custo[first][i] + melhor(mask | (1 << first))); best = min(best, custoTotal[first][i] + melhor(mask | maskChar[first][i])); } return pd[mask] = best; } int main() { cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> custo[i][j]; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int maior = 0; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { maior = max(maior, custo[k][j]); custoTotal[i][j] += custo[k][j]; maskChar[i][j] |= 1 << k; } } custoTotal[i][j] -= maior; } } memset(pd, -1, sizeof(pd)); cout << melhor(0) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1E9 + 9; char str[100][100]; int f[100][100], dp[1 << 21], sum[100][100], statu[100][100]; int main() { int n, m, i, j, k; scanf("%d%d", &n, &m); for (i = 0; i < n; i++) scanf("%s", str[i]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) scanf("%d", &f[i][j]); for (i = 0; i < n; i++) { for (j = 0; j < m; j++) { int maxv = 0; for (k = 0; k < n; k++) if (str[i][j] == str[k][j]) { sum[i][j] += f[k][j]; maxv = max(maxv, f[k][j]); statu[i][j] |= (1 << k); } sum[i][j] -= maxv; } } fill(dp, dp + (1 << 21), INF); dp[0] = 0; for (i = 0; i < (1 << n) - 1; i++) { for (j = 0; j < n; j++) { int a = (1 << j); for (k = 0; k < m; k++) { int b = statu[j][k]; dp[i | a] = min(dp[i | a], dp[i] + f[j][k]); dp[i | b] = min(dp[i | b], dp[i] + sum[j][k]); } } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_COUNT = 21; string words[MAX_COUNT]; int prices[MAX_COUNT][MAX_COUNT]; int toChange[MAX_COUNT][MAX_COUNT]; int bits[MAX_COUNT][MAX_COUNT]; int d[1 << MAX_COUNT]; int main() { int rows, cols; scanf("%d%d", &rows, &cols); for (int i = 0; i < rows; i++) cin >> words[i]; for (int i = 0; i < rows; i++) for (int j = 0; j < cols; j++) scanf("%d", &prices[i][j]); for (int i = 0; i < rows; i++) for (int j = 0; j < cols; j++) { char cur = words[i][j]; int mxprice = prices[i][j]; for (int u = 0; u < rows; u++) if (words[u][j] == cur) { toChange[i][j] += prices[u][j]; bits[i][j] |= (1 << u); mxprice = max(mxprice, prices[u][j]); } toChange[i][j] -= mxprice; } for (int i = 0; i < 1 << rows; i++) d[i + 1] = 1000000000; for (int mask = 1; mask < (1 << rows); mask++) { int fRow = 0; for (int u = 0; u < rows; u++) if (mask & (1 << u)) { fRow = u; break; } for (int j = 0; j < cols; j++) { d[mask] = min(d[mask], d[mask & (mask ^ bits[fRow][j])] + toChange[fRow][j]); d[mask] = min(d[mask], d[mask ^ (1 << fRow)] + prices[fRow][j]); } } cout << d[(1 << rows) - 1] << endl; cin.get(); cin.get(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; char ss[120][120]; int dp[1 << 20], cv[120][120], a[120][120], co[120][120]; int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%s", ss[i] + 1); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%d", &a[i][j]); } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { int tmp = 0; for (int k = 1; k <= n; k++) { if (ss[i][j] == ss[k][j]) { co[i][j] += a[k][j]; cv[i][j] += (1 << (k - 1)); tmp = max(tmp, a[k][j]); } } co[i][j] -= tmp; } } for (int i = 1; i < (1 << n); i++) { dp[i] = 100000000; int lowbit; for (int j = 1; j <= n; j++) { if (((1 << (j - 1)) & i) != 0) lowbit = j; } for (int j = 1; j <= m; j++) { dp[i] = min(dp[i], dp[i & (i ^ cv[lowbit][j])] + co[lowbit][j]); dp[i] = min(dp[i], dp[i ^ (1 << (lowbit - 1))] + a[lowbit][j]); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 20 + 1, INF = 1e9; char s[maxn][maxn]; int n, m, Max, nn, x, y; int d[1 << maxn], a[maxn][maxn], b[maxn][maxn], same[maxn][maxn]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { scanf("%s", s[i]); } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { scanf("%d", &a[i][j]); } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { Max = 0; for (int k = 0; k < n; k++) { if (s[i][j] != s[k][j]) { continue; } same[i][j] |= (1 << k); Max = max(Max, a[k][j]); b[i][j] += a[k][j]; } b[i][j] -= Max; } } nn = 1 << n; fill(d, d + nn, INF); d[0] = 0; for (int i = 0; i < nn; i++) { for (int j = 0; j < n; j++) { x = 1 << j; if (x & i) { continue; } for (int k = 0; k < m; k++) { int y = same[j][k]; d[i | x] = min(d[i | x], d[i] + a[j][k]); d[i | y] = min(d[i | y], d[i] + b[j][k]); } break; } } printf("%d\n", d[nn - 1]); return 0; }
#include <bits/stdc++.h> #pragma warning(disable : 4996) using namespace std; const int IT_MAX = 32768; const int MOD = 1000000007; const int INF = 1234567891; const long long LL_INF = 1234567890123456789ll; char in[25][25]; long long dp[1200000]; long long val[25][25]; long long same_val[25][25]; int same_bit[25][25]; int main() { int N, M, i, j, k; scanf("%d %d", &N, &M); for (i = 0; i < N; i++) scanf("%s", in[i]); for (i = 0; i < N; i++) for (j = 0; j < M; j++) scanf("%lld", &val[i][j]); for (i = 0; i < N; i++) { for (j = 0; j < M; j++) { long long sum = 0, mx = 0; for (k = 0; k < N; k++) { if (in[i][j] == in[k][j]) { same_bit[i][j] += (1 << k); sum += val[k][j]; mx = max(mx, val[k][j]); } } same_val[i][j] = sum - mx; } } dp[0] = 0; for (i = 1; i < (1 << N); i++) dp[i] = LL_INF; for (i = 1; i < (1 << N); i++) { int t = i, lb; for (lb = 0;; lb++, t /= 2) if (t % 2 == 1) break; t = i & (~(1 << lb)); for (j = 0; j < M; j++) { dp[i] = min(dp[i], dp[t] + val[lb][j]); } for (j = 0; j < M; j++) { t = i & (~same_bit[lb][j]); dp[i] = min(dp[i], dp[t] + same_val[lb][j]); } } printf("%lld", dp[(1 << N) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 100000000; int main() { int n, m; cin >> n >> m; vector<string> s(n); vector<int> tmp(m); vector<vector<int> > a(n, tmp); vector<vector<int> > similar(n, tmp), cost(n, tmp); vector<int> dp(1 << n, INF); for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int opt = 0; for (int g = 0; g < n; g++) { if (s[i][j] == s[g][j]) { similar[i][j] |= (1 << g); cost[i][j] += a[g][j]; opt = max(opt, a[g][j]); } } cost[i][j] -= opt; } } int pow = 1 << n; dp[0] = 0; for (int i = 1; i < pow; i++) { int hb; for (int j = 0; j < n; j++) { if ((i & (1 << j)) != 0) { hb = j; break; } } for (int j = 0; j < m; j++) { dp[i] = min(dp[i], dp[i & (i ^ similar[hb][j])] + cost[hb][j]); dp[i] = min(dp[i], dp[i ^ (1 << hb)] + a[hb][j]); } } cout << dp[pow - 1]; return 0; }
#include <bits/stdc++.h> using namespace std; int a[21][21], f[1 << 21]; string s[21]; int n, m; int main() { cin >> n >> m; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < 1 << n; i++) f[i] = 1e9; f[0] = 0; for (int i = 0; i < (1 << n) - 1; i++) { if (f[i] == 1e9) continue; int p; for (p = 0; p < n; p++) if (!(i & (1 << p))) break; int cur = i | (1 << p); int sum, maxx, np; for (int j = 0; j < m; j++) { f[cur] = min(f[cur], f[i] + a[p][j]); sum = maxx = 0; np = cur; for (int k = 0; k < n; k++) if (s[k][j] == s[p][j]) { np |= 1 << k; maxx = max(maxx, a[k][j]); sum += a[k][j]; } f[np] = min(f[np], f[i] + sum - maxx); } } cout << f[(1 << n) - 1] << endl; return 0; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,inline") #pragma GCC target( \ "sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,tune=native") #pragma GCC optimize(1) #pragma G++ optimize(1) #pragma GCC optimize(2) #pragma G++ optimize(2) #pragma GCC optimize(3) #pragma G++ optimize(3) #pragma GCC optimize("-funsafe-loop-optimizations") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-fwhole-program") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fcse-skip-blocks") #pragma GCC optimize("-fdelete-null-pointer-checks") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-fstrict-overflow") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") using namespace std; inline void rdl(long long &val) { long long x = 0; int f = 1; char ch = getchar(); while ((ch < '0' or ch > '9') and ch != '-') ch = getchar(); if (ch == '-') { f = -1; ch = getchar(); } while (ch >= '0' and ch <= '9') { x = (x << 3) + (x << 1) + ch - '0'; ch = getchar(); } val = x * f; } inline void rdi(int &val) { int x = 0; int f = 1; char ch = getchar(); while ((ch < '0' or ch > '9') and ch != '-') ch = getchar(); if (ch == '-') { f = -1; ch = getchar(); } while (ch >= '0' and ch <= '9') { x = (x << 3) + (x << 1) + ch - '0'; ch = getchar(); } val = x * f; } inline long long rdl() { long long x = 0; int f = 1; char ch = getchar(); while ((ch < '0' or ch > '9') and ch != '-') ch = getchar(); if (ch == '-') { f = -1; ch = getchar(); } while (ch >= '0' and ch <= '9') { x = (x << 3) + (x << 1) + ch - '0'; ch = getchar(); } return x * f; } inline int rdi() { int x = 0; int f = 1; char ch = getchar(); while ((ch < '0' or ch > '9') and ch != '-') ch = getchar(); if (ch == '-') { f = -1; ch = getchar(); } while (ch >= '0' and ch <= '9') { x = (x << 3) + (x << 1) + ch - '0'; ch = getchar(); } return x * f; } inline void write(int x) { if (x < 0) putchar('-'), x = -x; if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void _write(int x) { write(x); putchar(' '); } inline void print(int x) { write(x); putchar('\n'); } inline void write(long long x) { if (x < 0) putchar('-'), x = -x; if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void _write(long long x) { write(x); putchar(' '); } inline void print(long long x) { write(x); putchar('\n'); } const int mxn = 21; int a[mxn][mxn], N, M, dp[1 << mxn], l, n, m, t, h, b, c; char s[mxn][10 * mxn]; int main() { int i, j; scanf("%d%d", &N, &M); for (i = 0; i < N; ++i) scanf("%s", s[i]); for (i = 0; i < N; ++i) for (j = 0; j < M; ++j) scanf("%d", &a[i][j]); memset(dp, 63, sizeof(dp)); dp[0] = 0; for (m = 0; m < (1 << N); ++m) { for (b = 0; b < N; ++b) if (!(m & (1 << b))) { l = b; break; } for (c = 0; c < M; ++c) { dp[m + (1 << l)] = min(dp[m + (1 << l)], dp[m] + a[l][c]); n = m, t = 0, h = 0; for (i = 0; i < N; ++i) if (s[i][c] == s[l][c]) n |= (1 << i), t += a[i][c], h = max(h, a[i][c]); dp[n] = min(dp[n], dp[m] + t - h); } } printf("%d\n", dp[(1 << N) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 25; int f[1 << 20], a[maxn][maxn], S[maxn][maxn], cost[maxn][maxn]; int n, m, low; char s[maxn][maxn]; void init() { int sum, best, Set; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { sum = best = Set = 0; for (int k = 1; k <= n; k++) if (s[i][j] == s[k][j]) { sum += a[k][j]; best = max(best, a[k][j]); Set |= 1 << (k - 1); } S[i][j] = Set; cost[i][j] = sum - best; } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); init(); memset(f, 0x3f, sizeof f); f[0] = 0; for (int i = 0; i < (1 << n) - 1; i++) { for (low = 0; i >> low & 1; low++) ; for (int j = 1; j <= m; j++) { f[i | (1 << low)] = min(f[i | (1 << low)], f[i] + a[low + 1][j]); f[i | S[low + 1][j]] = min(f[i | S[low + 1][j]], f[i] + cost[low + 1][j]); } } printf("%d\n", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; using namespace std; const int N = 20; const int len = 300; string s[N]; int c[N][len], sv[N][len], a[N][len]; int d[1 << N]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int curv = 0; for (int k = 0; k < n; k++) if (s[i][j] == s[k][j]) { sv[i][j] |= (1 << k); c[i][j] += a[k][j]; if (a[k][j] > curv) curv = a[k][j]; } c[i][j] -= curv; } for (int i = 0; i < 1 << n; i++) d[i] = 1000000000; d[0] = 0; for (int mask = 0; mask < 1 << n; mask++) { if (mask == 0) continue; int lowbit = -1; for (int i = 0; i < n; i++) if ((mask >> i) & 1) { lowbit = i; break; } for (int k = 0; k < m; k++) { d[mask] = min(d[mask], d[mask & (mask ^ sv[lowbit][k])] + c[lowbit][k]); d[mask] = min(d[mask], d[mask ^ (1 << lowbit)] + a[lowbit][k]); } } cout << d[(1 << n) - 1]; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_COUNT = 21; string words[MAX_COUNT]; int prices[MAX_COUNT][MAX_COUNT]; int toChange[MAX_COUNT][MAX_COUNT]; int bits[MAX_COUNT][MAX_COUNT]; int d[1 << MAX_COUNT]; int main() { int rows, cols; scanf("%d%d", &rows, &cols); for (int i = 0; i < rows; i++) cin >> words[i]; for (int i = 0; i < rows; i++) for (int j = 0; j < cols; j++) scanf("%d", &prices[i][j]); for (int i = 0; i < rows; i++) for (int j = 0; j < cols; j++) { char cur = words[i][j]; int mxprice = prices[i][j]; for (int u = 0; u < rows; u++) if (words[u][j] == cur) { toChange[i][j] += prices[u][j]; bits[i][j] |= (1 << u); mxprice = max(mxprice, prices[u][j]); } toChange[i][j] -= mxprice; } for (int i = 0; i < 1 << rows; i++) d[i + 1] = 1000000000; for (int mask = 1; mask < (1 << rows); mask++) { int fRow = 0; for (int u = 0; u < rows; u++) if (mask & (1 << u)) { fRow = u; break; } for (int j = 0; j < cols; j++) { d[mask] = min(d[mask], d[mask & (mask ^ bits[fRow][j])] + toChange[fRow][j]); d[mask] = min(d[mask], d[mask & (mask ^ (1 << fRow))] + prices[fRow][j]); } } cout << d[(1 << rows) - 1] << endl; cin.get(); cin.get(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 21; int cost[N][N]; set<int, greater<int>> st; int dp[1 << 20]; bool used[N]; string ar[N]; pair<vector<int>, int> prec[N][256]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; ++i) cin >> ar[i]; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) cin >> cost[i][j]; } for (int i = 0; i < m; ++i) { for (int j = 0; j < n; ++j) { prec[i][ar[j][i]].first.push_back(j); prec[i][ar[j][i]].second = max(prec[i][ar[j][i]].second, cost[j][i]); } } for (int i = 0; i < 1 << n; ++i) dp[i] = 1e9; dp[(1 << n) - 1] = 0; st.insert((1 << n) - 1); while (true) { int cur = *(st.begin()); if (!cur) break; st.erase(st.begin()); memset(used, false, N); int higher = 0, pw = 1 << n - 1, ind = n - 1, t = cur; while (t) { if (pw <= t) { t -= pw; higher = max(higher, ind); used[ind] = true; } pw >>= 1; --ind; } int was = cur; cur -= 1 << higher; st.insert(cur); for (int i = 0; i < m; ++i) { dp[cur] = min(dp[cur], cost[higher][i] + dp[was]); int sum = 0, tmp = was; for (auto &x : prec[i][ar[higher][i]].first) { if (used[x]) tmp -= 1 << x; sum += cost[x][i]; } sum -= prec[i][ar[higher][i]].second; dp[tmp] = min(dp[tmp], dp[was] + sum); st.insert(tmp); } } cout << dp[0]; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (1 << 21) + 10; const int maxn = 20; long long dp[N]; int c[110][110]; char s[110][110]; int lowzero(int s) { int i; for (i = 0; i <= 20; i++) { if ((1 << i) > s) break; if (((1 << i) & s) == 0) return i; } return i; } int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &c[i][j]); int size = (1 << n) - 1; for (int i = size; i > 0; i--) dp[i] = 1e8; dp[0] = 0; for (int j = 0; j <= size; j++) { int k = lowzero(j); for (int i = 0; i < m; i++) { dp[j | (1 << k)] = min(dp[j | (1 << k)], dp[j] + c[k][i]); int hehe = 0, mx = 0, co = 0; for (int p = 0; p < n; p++) if (s[p][i] == s[k][i]) { hehe |= (1 << p); mx = max(mx, c[p][i]); co += c[p][i]; } co -= mx; dp[j | hehe] = min(dp[j | hehe], dp[j] + co); } } long long ans = dp[size]; printf("%I64d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0; char ch = getchar(); while (ch < '0' || ch > '9') ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x; } int n, m, mx[55][55], tot[55][55], s[55][55], a[25][25], f[1 << 20]; char st[25][25]; inline void R(int& x, int y) { y < x ? x = y : 0; } int main() { n = read(); m = read(); memset(f, 40, sizeof(f)); for (int i = 1; i <= n; ++i) scanf("%s", st[i] + 1); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) a[i][j] = read(); for (int i = 1; i <= m; ++i) { for (int j = 1; j <= n; ++j) s[i][st[j][i] - 'a'] |= 1 << j - 1, mx[i][st[j][i] - 'a'] = max(mx[i][st[j][i] - 'a'], a[j][i]), tot[i][st[j][i] - 'a'] += a[j][i]; } f[0] = 0; for (int i = 0; i < (1 << n) - 1; ++i) { int j = 1; for (; i & (1 << j - 1); ++j) ; for (int k = 1; k <= m; ++k) R(f[i | s[k][st[j][k] - 'a']], f[i] + tot[k][st[j][k] - 'a'] - mx[k][st[j][k] - 'a']), R(f[i | (1 << j - 1)], f[i] + a[j][k]); } printf("%d\n", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; char s[21][21] = {0}; int c2[21][21] = {0}; int c1[21][21] = {0}; int lul[21][21] = {0}; int dp[(1 << 20)] = {0}; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < (1 << n); i++) { dp[i] = INT_MAX; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> s[i][j]; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> c1[i][j]; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int mxcur = 0; c2[i][j] = 0; for (int k = 0; k < n; k++) { if (s[i][j] != s[k][j]) continue; lul[i][j] |= (1 << k); mxcur = max(mxcur, c1[k][j]); c2[i][j] += c1[k][j]; } c2[i][j] -= mxcur; } } dp[0] = 0; for (int msk = 1; msk < (1 << n); msk++) { int cand; for (int i = 0; i < n; i++) if (msk & (1 << i)) { cand = i; break; } for (int j = 0; j < m; j++) { dp[msk] = min(dp[msk], dp[msk & (msk ^ lul[cand][j])] + c2[cand][j]); dp[msk] = min(dp[msk], dp[msk & (msk ^ (1 << cand))] + c1[cand][j]); } } cout << dp[(1 << n) - 1] << endl; }
#include <bits/stdc++.h> using namespace std; int n, m, a[100][100], f[2000000], p; char s[30][30]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); memset(f, 0x3f, sizeof(f)); f[0] = 0; for (int i = 0; i <= (1 << n) - 2; i++) { for (int j = 0; j < n; j++) if (!(i & (1 << j))) { p = j; break; } for (int j = 0; j < m; j++) { int sum = 0, l = 0, mx = 0; f[i | (1 << p)] = min(f[i | (1 << p)], f[i] + a[p][j]); for (int k = 0; k < n; k++) if (s[k][j] == s[p][j]) { sum = sum + a[k][j]; mx = max(mx, a[k][j]); l = l | (1 << k); } f[i | l] = min(f[i | l], f[i] + sum - mx); } } return printf("%d", f[(1 << n) - 1]), 0; }
#include <bits/stdc++.h> using namespace std; int n, m, dp[1 << 20], a[20][20], c[20][26], v[20][26], mx[20][26], mn[20]; char s[20][26]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) { mn[i] = 1e9; for (int j = 0; j < m; j++) { scanf("%d", a[i] + j); mn[i] = min(mn[i], a[i][j]); int x = s[i][j] - 'a'; mx[j][x] = max(mx[j][x], a[i][j]); v[j][x] ^= (1 << i); c[j][x] += a[i][j]; } } for (int i = 0; i < m; i++) for (int j = 0; j < 26; j++) c[i][j] -= mx[i][j]; dp[0] = 0; int k = (1 << n); for (int i = 1; i < k; i++) { int x = __builtin_ctz(i); dp[i] = dp[i ^ (1 << x)] + mn[x]; for (int j = 0; j < m; j++) { int y = s[x][j] - 'a'; dp[i] = min(dp[i], dp[(i | v[j][y]) ^ v[j][y]] + c[j][y]); } } printf("%d\n", dp[k - 1]); }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; int n, m, val[25][25], dp[1 << 21]; char mp[25][25]; int main() { memset(dp, INF, sizeof(dp)); scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { scanf("%s", mp[i] + 1); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%d", &val[i][j]); } } dp[0] = 0; for (int i = 0; i < (1 << n); i++) { for (int j = 1; j <= n; j++) { if (!(i & (1 << (j - 1)))) { for (int k = 1; k <= m; k++) { dp[i | (1 << (j - 1))] = min(dp[i | (1 << (j - 1))], dp[i] + val[j][k]); int sum = 0, maxv = 0, cnt = 0; for (int r = 1; r <= n; r++) { if (mp[r][k] == mp[j][k]) { sum += val[r][k]; cnt = cnt | (1 << (r - 1)); maxv = max(maxv, val[r][k]); } } dp[cnt | i] = min(dp[cnt | i], dp[i] + sum - maxv); } break; } } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20; int n, m, cost[N][N], c[N][N], dp[1 << N], b[N][N]; char a[N][N]; int main() { ios_base::sync_with_stdio(0); cin >> n >> m; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> a[i][j]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> cost[i][j]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { int mx = 0; for (int k = 0; k < n; ++k) if (a[i][j] == a[k][j]) { b[i][j] |= (1 << k); c[i][j] += cost[k][j]; mx = max(mx, cost[k][j]); } c[i][j] -= mx; } for (int mask = 0; mask < (1 << n); ++mask) dp[mask] = (int)1e9; dp[0] = 0; for (int mask = 0; mask < (1 << n); ++mask) { int bit = 0; for (int i = 0; i < n; ++i) if ((1 << i) & mask) ; else { bit = i; break; } for (int i = 0; i < m; ++i) { dp[mask | (1 << bit)] = min(dp[mask | (1 << bit)], dp[mask] + cost[bit][i]); dp[mask | b[bit][i]] = min(dp[mask | b[bit][i]], dp[mask] + c[bit][i]); } } cout << dp[(1 << n) - 1]; }
#include <bits/stdc++.h> using namespace std; const int N = 22; string s[N]; int a[N][N], n, m; pair<int, int> jump[N][N]; inline void minimize(int &a, int b) { a = min(a, b); } int main() { scanf("%d%d\n", &n, &m); for (int i = 0; i < n; i++) { getline(cin, s[i]); } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { scanf("%d", &a[i][j]); } for (int i = 0; i < n; i++) for (int p = 0; p < m; p++) { int total = 0, maxCost = 0, mask = 0; for (int j = 0; j < n; j++) if (s[i][p] == s[j][p]) { mask |= 1 << j; total += a[j][p]; maxCost = max(maxCost, a[j][p]); } jump[i][p] = make_pair(mask, total - maxCost); } vector<int> dp(1 << n, 1e9); dp[0] = 0; for (int mask = 0; mask + 1 < 1 << n; mask++) { int i; for (i = 0; mask & (1 << i); i++) ; for (int p = 0; p < m; p++) { dp[mask | (1 << i)] = min(dp[mask | (1 << i)], dp[mask] + a[i][p]); dp[mask | jump[i][p].first] = min(dp[mask | jump[i][p].first], dp[mask] + jump[i][p].second); } } printf("%d", dp.back()); }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 7; const int N = 20; const int E = 1 << 20; int n, m, a[N][N], c[N][N], maxst; int t[E], an, lb[E], f[E]; vector<int> to[N]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { char c; c = getchar(); while (c < 'a' || c > 'z') c = getchar(); a[i][j] = c - 'a'; } for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) scanf("%d", &c[i][j]); maxst = 1 << n; for (int i = 0; i < maxst; ++i) t[i] = inf; for (int i = 0; i < m; ++i) { for (int j = 0; j < 26; ++j) { int sum = 0, mx = 0, st = 0; for (int k = 0; k < n; ++k) if (a[k][i] == j) { sum += c[k][i]; mx = max(mx, c[k][i]); st |= 1 << k; } sum -= mx; t[st] = min(t[st], sum); } } for (int i = 0; i < n; ++i) { int st = 1 << i; for (int j = 0; j < m; ++j) t[st] = min(t[st], c[i][j]); } an = 0; for (int i = 0; i < maxst; ++i) if (t[i] != inf) for (int j = 0; j < n; ++j) if ((i >> j) & 1) to[j].push_back(i); for (int i = 0; i < maxst; ++i) for (int j = 0; j < n; ++j) if (((i >> j) & 1) == 0) { lb[i] = j; break; } for (int i = 1; i < maxst; ++i) f[i] = inf; f[0] = 0; for (int i = 0, ub = maxst - 1; i < ub; ++i) for (int j = 0, ub1 = to[lb[i]].size(); j < ub1; ++j) { int st = to[lb[i]][j]; f[i | st] = min(f[i | st], f[i] + t[st]); } printf("%d\n", f[maxst - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MaxN = (int)22; string s[MaxN]; int cost[MaxN][MaxN]; int f[1 << MaxN]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> cost[i][j]; } } memset(f, 0x3f, sizeof(f)); f[0] = 0; int Lim = 1 << n; for (int i = 0; i < Lim; i++) { int bit = -1; for (int j = 0; j < MaxN && bit == -1; j++) if (!((i >> j) & 1)) { bit = j; } if (bit == -1) bit = i - 1; for (int c = 0; c < m; c++) { f[i | (1 << bit)] = min(f[i | (1 << bit)], f[i] + cost[bit][c]); int sum = 0, mw = 0, bits = 0; for (int r = 0; r < n; r++) if (s[bit][c] == s[r][c]) { sum += cost[r][c]; mw = max(mw, cost[r][c]); bits |= 1 << r; } f[i | bits] = min(f[i | bits], f[i] + sum - mw); } } cout << f[Lim - 1] << "\n"; }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7; inline int add(int a, int b) { if ((a += b) >= P) a -= P; return a; } inline int sub(int a, int b) { if ((a -= b) < 0) a += P; return a; } inline int mul(int a, int b) { return 1ll * a * b % P; } inline int kpow(int a, int b) { int r = 1; for (; b; b >>= 1, a = mul(a, a)) { if (b & 1) r = mul(r, a); } return r; } const int N = 21, M = 1 << N; int n, m; char s[N][N]; int LOG[M]; int same[N][N], cost[N][M]; int f[M]; int val[N][N]; int main() { for (int i = (2); i < (M); i++) LOG[i] = LOG[i >> 1] + 1; scanf("%d%d", &n, &m); for (int i = (0); i < (n); i++) scanf("%s", s[i]); for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) scanf("%d", val[i] + j); for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { int mx = 0; for (int k = (0); k < (n); k++) if (s[i][j] == s[k][j]) { same[i][j] |= 1 << k; cost[i][j] += val[k][j]; mx = max(mx, val[k][j]); } cost[i][j] -= mx; } for (int i = (0); i < (M); i++) f[i] = 1e9; f[0] = 0; int up = 1 << n; for (int msk = (1); msk < (up); msk++) { int lb = LOG[msk & -msk]; for (int i = (0); i < (m); i++) { f[msk] = min(f[msk], f[msk & (msk ^ same[lb][i])] + cost[lb][i]); f[msk] = min(f[msk], f[msk ^ (1 << lb)] + val[lb][i]); } } printf("%d\n", f[up - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int two[25], a[24][24], sam[24][24], w[24][24], w2[24][24], f[1 << 20]; int main() { char ch; int i, j, k, s, n, m, ax; scanf("%d %d\n", &n, &m); two[0] = 1; for (i = 1; i <= 20; ++i) two[i] = two[i - 1] << 1; for (i = 1; i <= n; ++i) { for (j = 1; j <= m; ++j) { scanf("%c", &ch); a[i][j] = ch - 'a' + 1; } scanf("\n"); } for (i = 1; i <= n; ++i) for (j = 1; j <= m; ++j) scanf("%d", &w[i][j]); for (i = 1; i <= n; ++i) for (j = 1; j <= m; ++j) { ax = w[i][j]; for (k = 1; k <= n; ++k) { if (a[i][j] == a[k][j]) { sam[i][j] |= two[k - 1]; w2[i][j] += w[k][j]; ax = max(ax, w[k][j]); } } w2[i][j] -= ax; } memset(f, 0x3f, sizeof(f)); f[0] = 0; for (s = 0; s < two[n]; ++s) for (i = 1; i <= n; ++i) if (!(s & two[i - 1])) for (j = 1; j <= m; ++j) { f[s | two[i - 1]] = min(f[s | two[i - 1]], f[s] + w[i][j]); f[s | sam[i][j]] = min(f[s | sam[i][j]], f[s] + w2[i][j]); } printf("%d\n", f[two[n] - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1000000000; int d[1100010], v[25][25], sum[25][25], poz[25][25]; char sir[25][25]; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("\n%s", sir[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &v[i][j]); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { poz[i][j] = 1 << (i - 1); for (int q = 1; q <= n; q++) if (sir[q][j] == sir[i][j] && q != i) { sum[i][j] += v[q][j]; poz[i][j] += 1 << (q - 1); } } int lim = 1 << n; for (int i = 1; i < lim; i++) { d[i] = inf; for (int j = 0; j < n; j++) if (i & (1 << j)) for (int q = 1; q <= m; q++) { d[i] = min(d[i], v[j + 1][q] + d[i ^ (1 << j)]); d[i] = min(d[i], sum[j + 1][q] + d[i ^ (i & poz[j + 1][q])]); } } printf("%d", d[lim - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1E9 + 9; char str[100][100]; int f[100][100], dp[1 << 21], sum[100][100], statu[100][100]; int main() { int n, m, i, j, k; scanf("%d%d", &n, &m); for (i = 0; i < n; i++) scanf("%s", str[i]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) scanf("%d", &f[i][j]); for (i = 0; i < n; i++) { for (j = 0; j < m; j++) { int maxv = 0; for (k = 0; k < n; k++) if (str[i][j] == str[k][j]) { sum[i][j] += f[k][j]; maxv = max(maxv, f[k][j]); statu[i][j] |= (1 << k); } sum[i][j] -= maxv; } } fill(dp, dp + (1 << 21), INF); dp[0] = 0; for (i = 0; i < (1 << n) - 1; i++) { for (j = 0; j < n; j++) if (0 == ((i >> j) & 1)) { int a = (1 << j); for (k = 0; k < m; k++) { int b = statu[j][k]; dp[i | a] = min(dp[i | a], dp[i] + f[j][k]); dp[i | b] = min(dp[i | b], dp[i] + sum[j][k]); } } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int Nmax = 22; int n, m, i, j, lowbit, cost_total, most_expensive, mask; int cost[Nmax][Nmax], minim[Nmax]; int D[1 << Nmax]; char A[Nmax][Nmax]; int main() { scanf("%d %d\n", &n, &m); for (i = 1; i <= n; ++i) gets(A[i] + 1); memset(minim, 0x3f3f3f3f, sizeof(minim)); for (i = 1; i <= n; ++i) for (j = 1; j <= m; ++j) { scanf("%d", &cost[i][j]); minim[i] = min(minim[i], cost[i][j]); } memset(D, 0x3f3f3f3f, sizeof(D)); for (D[0] = 0, i = 1; i < (1 << n); ++i) { for (lowbit = 0; lowbit < n && ((i >> lowbit & 1) == 0); ++lowbit) ; for (int col = 1; col <= m; ++col) { most_expensive = 0; cost_total = 0; mask = 0; for (j = 1; j <= n; ++j) if (A[lowbit + 1][col] == A[j][col]) { mask ^= (1 << (j - 1)); cost_total += cost[j][col]; most_expensive = max(most_expensive, cost[j][col]); } D[i] = min(D[i], D[i & (i ^ mask)] + cost_total - most_expensive); D[i] = min(D[i], D[i ^ (1 << lowbit)] + minim[lowbit + 1]); } } printf("%d\n", D[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, a[20][20]; int sch[20][26] = {0}, mch[20][26] = {0}, ich[20][26] = {0}; int dp[(1 << 20)]; string strs[20]; int main() { ios::sync_with_stdio(false); cin >> n >> m; for (int i = 0; i < n; i++) cin >> strs[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { cin >> a[i][j]; int ch = strs[i][j] - 'a'; sch[j][ch] += a[i][j]; mch[j][ch] = max(mch[j][ch], a[i][j]); ich[j][ch] |= (1 << i); } fill(dp, dp + (1 << 20), 100000000); dp[0] = 0; for (int s = 0; s < (1 << n) - 1; s++) { if (dp[s] == 100000000) continue; int inds = 0; for (; inds < n; inds++) if (~s >> inds & 1) break; for (int j = 0; j < m; j++) { int ch = strs[inds][j] - 'a'; dp[s | 1 << inds] = min(dp[s | 1 << inds], dp[s] + a[inds][j]); dp[s | ich[j][ch]] = min(dp[s | ich[j][ch]], dp[s] + sch[j][ch] - mch[j][ch]); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 21; int n, m, ii, h, i, j, jj, mk, tot, mx; int addMask[MAXN][MAXN], cost[MAXN][MAXN], addCost[MAXN][MAXN]; int dp[(1 << (MAXN + 1))]; char s[MAXN][MAXN]; int main() { scanf("%d %d", &n, &m); for (i = 1; i <= n; i++) { scanf("%s", s[i] + 1); } for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { scanf("%d", &cost[i][j]); } } for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { mk = tot = mx = 0; for (ii = 1; ii <= n; ii++) { if (s[i][j] == s[ii][j]) { mk |= (1 << (ii - 1)); tot += cost[ii][j]; mx = max(mx, cost[ii][j]); } } addMask[i][j] = mk; addCost[i][j] = tot - mx; } } h = (1 << n) - 1; for (i = 0; i <= h; i++) { dp[i] = (int)1e9; } dp[0] = 0; for (i = 0; i < h; i++) { for (j = 1; (i & (1 << (j - 1))); j++) ; for (jj = 1; jj <= m; jj++) { dp[i ^ (1 << (j - 1))] = min(dp[i ^ (1 << (j - 1))], dp[i] + cost[j][jj]); dp[i | addMask[j][jj]] = min(dp[i | addMask[j][jj]], dp[i] + addCost[j][jj]); } } printf("%d\n", dp[h]); return 0; }
#include <bits/stdc++.h> using namespace std; char s[20][20]; int c[20][20]; int dp[1 << 20]; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) scanf("%d", &c[i][j]); } memset(dp, 0x3f, sizeof dp); dp[0] = 0; for (int i = 0; i + 1 < 1 << n; i++) { if (dp[i] == 0x3f3f3f3f) continue; int r; for (r = 0; r < n; r++) { if (!(((i) >> (r)) & 1)) break; } int id = i | (1 << r); for (int j = 0; j < m; j++) { dp[id] = min(dp[id], dp[i] + c[r][j]); int jd = i, v = 0, mx = 0; for (int k = 0; k < n; k++) { if (s[k][j] == s[r][j]) { v += c[k][j]; jd |= (1 << k); mx = max(mx, c[k][j]); } } dp[jd] = min(dp[jd], dp[i] + v - mx); } } printf("%d\n", dp[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; int dp[1500000], n, m, value[25][25]; char str[25][25]; int solve(int now) { if (dp[now] != -1) return dp[now]; int last_bit = __builtin_ctz(now); int i, j; dp[now] = 1000000000; for (i = 0; i < m; i++) dp[now] = min(dp[now], solve(now ^ (1 << last_bit)) + value[last_bit][i]); for (i = 0; i < m; i++) { int temp = value[last_bit][i], tt = 0, sum = 0; for (j = 0; j < n; j++) { if (str[last_bit][i] != str[j][i]) continue; temp = max(temp, value[j][i]); tt |= (1 << j); sum += value[j][i]; } sum -= temp; temp = 0; for (j = 0; j < n; j++) if (((1 << j) & now) && !((1 << j) & tt)) temp |= (1 << j); dp[now] = min(dp[now], solve(temp) + sum); } return dp[now]; } int main() { int i, j; scanf("%d", &n); scanf("%d", &m); getchar(); for (i = 0; i < n; i++) gets(str[i]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) scanf("%d", &value[i][j]); for (i = 0; i < 1500000; i++) dp[i] = -1; dp[0] = 0; cout << solve((1 << n) - 1) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = (1 << 21); int n, m, a[20][20], mk, dp[MX], p[MX]; int sum[256][20], mask[256][20]; string s[20]; void precal() { for (int i = 0; i < mk; i++) for (int j = 0; j < n; j++) if (!(i & (1 << j))) { p[i] = j; break; } for (int i = 'a'; i <= 'z'; i++) { for (int j = 0; j < m; j++) { int mx = 0; for (int k = 0; k < n; k++) { if (s[k][j] == char(i)) { sum[i][j] += a[k][j]; mx = max(mx, a[k][j]); mask[i][j] |= (1 << k); } } sum[i][j] -= mx; } } } int obtRes(int k) { int &res = dp[k], i = p[k]; if (res != -1) return res; res = 1e9; for (int j = 0; j < m; j++) res = min({res, obtRes(k | (1 << i)) + a[i][j], obtRes(k | mask[s[i][j]][j]) + sum[s[i][j]][j]}); return res; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m; mk = (1 << n) - 1; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < mk; i++) dp[i] = -1; dp[mk] = 0; precal(); cout << obtRes(0) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 25; long long n, m, v[maxn][maxn], ans, dp[1 << 20], tot[maxn][26], bit[maxn][26], cmax[maxn][26]; char s[maxn][maxn]; inline void up(int &x, int y) { x = min(x, y); } int main() { scanf("%lld%lld", &n, &m); for (int i = 0; i < n; ++i) scanf("%s", s[i]); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { scanf("%lld", &v[i][j]); assert(v[i][j] <= 1000000); int c = s[i][j] - 'a'; tot[j][c] += v[i][j]; cmax[j][c] = max(cmax[j][c], v[i][j]); bit[j][c] |= (1 << i); } memset(dp, 0x7f, sizeof(long long) * (1 << n)); dp[0] = 0; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { int c = s[i][j] - 'a'; long long now_bit = bit[j][c], tot_cost = tot[j][c] - cmax[j][c]; for (int _ = 0; _ < (1 << n); ++_) if (!((1 << i) & _)) { dp[_ | (1 << i)] = min(dp[_ | (1 << i)], dp[_] + v[i][j]); dp[_ | now_bit] = min(dp[_ | now_bit], dp[_] + tot_cost); } } printf("%lld\n", dp[(1 << n) - 1]); }
#include <bits/stdc++.h> const int MOD = 9973; const int INF = 99999999; using namespace std; int n, m; char s[25][25]; int a[25][25]; int cost[25][25]; int bit[25][25]; int dp[1 << 20]; int main() { while (~scanf("%d %d", &n, &m)) { for (int i = 0; i < n; i++) scanf("%s", s + i); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); memset(bit, 0, sizeof(bit)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int sum = 0; int max_cost = -1; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { sum += a[k][j]; max_cost = max(max_cost, a[k][j]); bit[i][j] |= (1 << k); } } sum -= max_cost; cost[i][j] = sum; } } for (int i = 0; i < (1 << n); i++) dp[i] = INF; dp[0] = 0; for (int k = 0; k < m; k++) { for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < n; j++) { if (i & (1 << j)) continue; dp[i | (1 << j)] = min(dp[i | (1 << j)], dp[i] + a[j][k]); dp[i | bit[j][k]] = min(dp[i | bit[j][k]], dp[i] + cost[j][k]); } } } printf("%d\n", dp[(1 << n) - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; char s[25][25]; int a[25][25], n, m, sum[25][25], val[25][25]; int dp[1 << 21]; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { int sm = 0, tmp = -INT_MAX; for (int k = 1; k <= n; k++) if (s[k][j] == s[i][j]) { sm += a[k][j]; tmp = max(tmp, a[k][j]); sum[i][j] |= (1 << k - 1); } val[i][j] = sm - tmp; } memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int i = 0, j; i < (1 << n) - 1; i++) { for (j = 0; j < n; j++) if (!(i & (1 << j))) break; for (int k = 0; k < m; k++) dp[i | (1 << j)] = min(dp[i | (1 << j)], dp[i] + a[j + 1][k + 1]), dp[i | sum[j + 1][k + 1]] = min(dp[i | sum[j + 1][k + 1]], dp[i] + val[j + 1][k + 1]); } return printf("%d\n", dp[(1 << n) - 1]), 0; }
#include <bits/stdc++.h> int f[1200000], g[30][30], h[30][30], o[30], p[30], q[30][30]; char c[30][30]; int i, j, k, l, m, n, t, u, v; int main() { scanf("%d%d", &n, &m); for (i = 1; i <= n; i++) scanf("%s", c[i] + 1); for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) c[i][j] = c[i][j] - 96; memset(o, 12, sizeof(o)); for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { scanf("%d", &g[i][j]); if (g[i][j] < o[i]) o[i] = g[i][j]; } for (i = 1; i <= m; i++) for (j = 1; j <= 26; j++) { for (k = 1, l = 0, u = 0, v = 0; k <= n; k++) if (c[k][i] == j) { l = l | (1 << (k - 1)); u = u + g[k][i]; if ((!v) || (g[v][i] < g[k][i])) v = k; } h[i][j] = l, q[i][j] = u - g[v][i]; } for (i = 1; i <= n; i++) p[i] = 1 << (i - 1); t = (1 << n) - 1; memset(f, 12, sizeof(f)); f[0] = 0; for (i = 1; i <= m; i++) { for (k = 1; k <= 26; k++) if (h[i][k]) { for (j = t; j > 0; j--) if (((j | h[i][k]) == j) && (f[j] > f[j - h[i][k]] + q[i][k])) f[j] = f[j - h[i][k]] + q[i][k]; for (j = t; j > 0; j--) if (((j | h[i][k]) != j) && (f[j])) for (l = t ^ j; l != 0; l = l - (l & (-l))) if (f[j] > f[j + (l & (-l))]) f[j] = f[j + (l & (-l))]; } } for (k = 1; k <= 20; k++) for (j = t; j > 0; j--) if ((j & p[k]) && (f[j] > f[j - p[k]] + o[k])) f[j] = f[j - p[k]] + o[k]; printf("%d", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; char a[22][22]; int cost[22][22]; pair<int, int> moves[26][22]; int main() { gets(a[0]); sscanf(a[0], "%d%d", &n, &m); for (int i(0), _B_i(n); i < _B_i; ++i) gets(a[i]); vector<pair<int, int> > moves; for (int i(0), _B_i(n); i < _B_i; ++i) { int s = -1u / 2; for (int j(0), _B_j(m); j < _B_j; ++j) { scanf("%d", &cost[i][j]); s = min(s, cost[i][j]); } moves.push_back({1 << i, s}); } for (int j(0), _B_j(m); j < _B_j; ++j) { vector<pair<int, int> > t(26); for (int i(0), _B_i(n); i < _B_i; ++i) { int c = a[i][j] - 'a'; t[c].first |= 1 << i; t[c].second = min(t[c].second, -cost[i][j]); } for (int i(0), _B_i(n); i < _B_i; ++i) t[a[i][j] - 'a'].second += cost[i][j]; for (int i(0), _B_i(26); i < _B_i; ++i) if (t[i].first) moves.push_back(t[i]); } vector<int> f(1 << n, -1u / 4); f[0] = 0; for (auto move : moves) for (int p = (1 << n); p-- > 0;) f[p | move.first] = min(f[p | move.first], f[p] + move.second); printf("%d\n", f.back()); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; char A[100][100]; int val[100][100]; long long dp[1 << 24]; long long bit[100][100]; long long cost[100][100]; void deal() { int i, j, k, maxval, maxn, sum, st; for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { st = 0; maxval = -1; maxn = -1; sum = 0; for (k = 1; k <= n; k++) { if (A[k][j] == A[i][j]) { if (val[k][j] > maxval) { maxval = val[k][j]; maxn = k; } sum += val[k][j]; st |= (1 << (k - 1)); } } sum -= val[maxn][j]; cost[i][j] = sum; bit[i][j] = st; } } } long long MIN(long long a, long long b) { return a < b ? a : b; } void solve() { int st, j, k; for (st = 0; st <= (1 << n) - 1; st++) { dp[st] = 999999999; } dp[0] = 0; for (st = 0; st <= (1 << n) - 1; st++) { for (j = 1; j <= n; j++) { if (((1 << (j - 1)) & st) == 0) { for (k = 1; k <= m; k++) { dp[st | (1 << (j - 1))] = MIN(dp[st | (1 << (j - 1))], dp[st] + val[j][k]); dp[st | bit[j][k]] = MIN(dp[st | bit[j][k]], dp[st] + cost[j][k]); } } } } } int main() { int i, j; scanf("%d%d", &n, &m); for (i = 1; i <= n; i++) { scanf("%s", A[i] + 1); } for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { scanf("%d", &val[i][j]); } } deal(); solve(); cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1024000000,1024000000") using namespace std; int dp[1 << 20], a[22][22], c[22][22], f[22][22]; char s[22][22]; int main() { int T, i, j, k, m, n; scanf("%d%d", &n, &m); for (i = 0; i < n; i++) scanf("%s", s[i]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) scanf("%d", &a[i][j]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) { int mx = 0; for (k = 0; k < n; k++) { if (s[k][j] == s[i][j]) { f[i][j] |= (1 << k); c[i][j] += a[k][j]; mx = max(mx, a[k][j]); } } c[i][j] -= mx; } memset(dp, 63, sizeof(dp)); dp[0] = 0; for (i = 1; i < 1 << n; i++) { for (j = 0; j < n; j++) if (i >> j & 1) break; for (k = 0; k < m; k++) { dp[i] = min(dp[i], dp[i ^ (1 << j)] + a[j][k]); dp[i] = min(dp[i], dp[i & (i ^ f[j][k])] + c[j][k]); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int cost[22][22]; int f[1 << 20]; int m, n; bool v[22][22]; string s[22]; vector<vector<pair<int, int> > > g; int main(int argc, char *argv[]) { cin >> n >> m; for (int i = 0; i < n; ++i) cin >> s[i]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> cost[i][j]; int N = 1 << n; for (int i = 1; i < N; ++i) f[i] = 100000000; for (int j = 0; j < m; ++j) { for (int i = 0; i < n; ++i) if (!v[i][j]) { v[i][j] = true; vector<pair<int, int> > ng; ng.push_back(make_pair(i, cost[i][j])); for (int ii = i + 1; ii < n; ++ii) if (s[i][j] == s[ii][j]) { v[ii][j] = true; ng.push_back(make_pair(ii, cost[ii][j])); } g.push_back(ng); } } for (vector<pair<int, int> > v : g) { int sum = 0, mx = 0, bits = 0; for (pair<int, int> pr : v) { sum += pr.second; mx = max(pr.second, mx); bits |= 1 << pr.first; } for (int i = 0; i < N; ++i) { int ni = i | bits; f[ni] = min(f[ni], f[i] + sum - mx); for (pair<int, int> pr : v) { int ni = i | (1 << pr.first); f[ni] = min(f[ni], f[i] + pr.second); } } } cout << f[N - 1] << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 10, mod = 998244353; int n, m, cost[22][22], c[1 << 20], need[22][22], dp[1 << 20]; char s[22][22]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", &s[i]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) scanf("%d", &cost[i][j]); } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < n; k++) { if (i == k) continue; need[i][j] ^= ((s[i][j] == s[k][j]) << k); } } } for (int mask = 0; mask < (1 << n); mask++) c[mask] = dp[mask] = (1 << 30); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { c[1 << i] = min(c[1 << i], (need[i][j] ? cost[i][j] : 0)); int sum = cost[i][j], mx = cost[i][j]; for (int k = 0; k < n; k++) { if ((need[i][j] >> k) & 1) { sum += cost[k][j]; mx = max(mx, cost[k][j]); } } if (need[i][j]) { c[(1 << i) | need[i][j]] = min(c[(1 << i) | need[i][j]], sum - mx); } } } vector<int> nex; for (int mask = 0; mask < (1 << n); mask++) { if (c[mask] != (1 << 30)) nex.push_back(mask); } dp[0] = 0; for (int mask = 0; mask < (1 << n); mask++) { for (int x : nex) { dp[mask | x] = min(dp[mask | x], dp[mask] + c[x]); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; char s[21][21]; int cost[21][21]; int dp[1 << 21]; int xh[21][21][2]; int change[21][21][2]; bool fh[21]; const int INF = 0x3f3f3f3f; int main() { int n, m; int begin = 0; scanf("%d%d", &n, &m); memset(dp, 0x3f, sizeof(dp)); for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &cost[i][j]); for (int i = 0; i < n; i++) { bool flag = false; for (int j = 0; j < m && !flag; j++) { bool flag1 = true; for (int k = 0; k < n && flag1; k++) { if (j == k) continue; if (s[i][j] == s[k][j]) flag1 = false; } if (flag1) flag = true; } if (flag) fh[i] = true; } for (int i = 0; i < n; i++) { if (fh[i]) continue; for (int j = 0; j < m; j++) { int cnt = 0; for (int k = 0; k < n; k++) { if (k == i) continue; if (s[i][j] == s[k][j]) { change[i][j][1] = change[i][j][1] | (1 << k); cnt++; xh[i][j][1] += cost[k][j]; } } if (cnt == 1) change[i][j][0] = change[i][j][1]; else change[i][j][0] = 0; xh[i][j][0] = cost[i][j]; } } for (int i = 0; i < n; i++) if (fh[i]) begin = begin | (1 << i); dp[begin] = 0; for (int i = begin; i < (1 << n); i++) if (dp[i] != INF) for (int j = 0; j < n; j++) if (!((1 << j) & i)) { for (int k = 0; k < m; k++) { for (int t = 0; t < 2; t++) { int next = i | (1 << j); next = next | change[j][k][t]; dp[next] = min(dp[next], dp[i] + xh[j][k][t]); } } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } int dp[(1 << 20) + 100]; char s[30][30]; int a[30][30], b[30][30]; int st[30][30]; int n, m; inline void upd(int &x, int y) { if (x > y) x = y; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", s + i); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); int S = (1 << n); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int mx = 0; for (int k = 0; k < n; k++) { if (s[i][j] != s[k][j]) continue; b[i][j] += a[k][j]; mx = max(mx, a[k][j]); st[i][j] |= (1 << k); } b[i][j] -= mx; } } for (int i = 0; i < S; i++) dp[i] = 1e9; dp[0] = 0; for (int i = 0; i < S; i++) { for (int j = 0; j < n; j++) { if (i & (1 << j)) continue; int p = (1 << j); for (int k = 0; k < m; k++) { int q = st[j][k]; upd(dp[i | p], dp[i] + a[j][k]); upd(dp[i | q], dp[i] + b[j][k]); } break; } } printf("%d\n", dp[S - 1]); return 0; }
#include <bits/stdc++.h> int n, m; char str[(21)][(21)]; int a[(21)][(21)], dp[1 << (21)], logdown[1 << ((21) + 1)]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) { scanf("%s", str[i]); } for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { scanf("%d", &a[i][j]); } } for (int i = 2; i < 1 << ((21) + 1); ++i) { logdown[i] = logdown[i >> 1] + 1; } memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int mask = 0; mask < (1 << n) - 1; ++mask) { int sit = logdown[((~mask) & (-(~mask)))]; for (int j = 0; j < m; ++j) { if (sit < n) { dp[mask ^ (1 << sit)] = std::min(dp[mask ^ (1 << sit)], dp[mask] + a[sit][j]); } int sum = 0, mxx = INT_MIN, _mask = mask; for (int i = 0; i < n; ++i) { if (str[i][j] == str[sit][j]) { sum += a[i][j]; mxx = std::max(mxx, a[i][j]); _mask |= 1 << i; } } dp[_mask] = std::min(dp[_mask], dp[mask] + sum - mxx); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; vector<string> s; int n, m, a[25][25]; int dp[(1 << 21)]; int go(int msk) { if (msk == (1 << n) - 1) return 0; if (dp[msk] != -1) return dp[msk]; int i; for (i = 0; i < n && (msk & (1 << i)); i++) ; int ret = 1e9; for (int j = 0; j < m; j++) { ret = min(ret, a[i][j] + go(msk | (1 << i))); int sum = 0, mx = 0, nmsk = msk; for (int k = 0; k < n; k++) { if (s[k][j] == s[i][j]) { nmsk |= (1 << k); sum += a[k][j]; mx = max(mx, a[k][j]); } } ret = min(ret, sum - mx + go(nmsk)); } return dp[msk] = ret; } int main() { while (cin >> n >> m) { memset(dp, -1, sizeof dp); s.resize(n); for (int i = 0; i < n; cin >> s[i++]) ; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; cout << go(0) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9; char ch[30][30]; int d[1500000], a[30][30], bit[30][30], cost[30][30]; int main() { int n, m; cin >> n >> m; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) cin >> ch[i][j]; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) cin >> a[i][j]; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) { int Max = 0; for (int k = 1; k <= n; ++k) if (ch[i][j] == ch[k][j]) { cost[i][j] += a[k][j]; Max = max(Max, a[k][j]); bit[i][j] |= (1 << k - 1); } cost[i][j] -= Max; } int e = (1 << n); for (int i = 1; i < e; ++i) d[i] = INF; for (int i = 0; i < e - 1; ++i) { if (d[i] >= INF) continue; int k; for (int j = 0; j < n; ++j) if ((i & (1 << j)) == 0) { k = j; break; } for (int j = 1; j <= m; ++j) { d[i | (1 << k)] = min(d[i | (1 << k)], d[i] + a[k + 1][j]); d[i | bit[k + 1][j]] = min(d[i | bit[k + 1][j]], d[i] + cost[k + 1][j]); } } cout << d[e - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1100000; const int INF = 1000000005; int n, m; char c[22][22]; int a[22][22], sm[22][22], Tm[22][22], mn[22]; int dp[N], mp[N]; int main() { for (int i = 1; i < N; i++) dp[i] = INF; scanf("%d%d", &n, &m); int tmp = 1; while (mp[tmp] < 20) { mp[tmp * 2] = mp[tmp] + 1; tmp *= 2; } for (int i = 0; i < n; i++) scanf("%s", c + i); for (int i = 0; i < n; i++) { mn[i] = INF; for (int j = 0; j < m; j++) { scanf("%d", &a[i][j]); mn[i] = min(mn[i], a[i][j]); } } for (int i = 0; i < n; i++) for (int k = 0; k < m; k++) { int mx = 0; for (int j = 0; j < n; j++) if (c[i][k] == c[j][k]) { sm[i][k] |= 1 << j; mx = max(mx, a[j][k]); Tm[i][k] += a[j][k]; } Tm[i][k] -= mx; } for (int i = 1; i < (1 << n); i++) { int lb = i & (i - 1) ^ i; int mmp = mp[lb]; if (dp[i ^ lb] != INF) dp[i] = min(dp[i], dp[i ^ lb] + mn[mmp]); for (int j = 0; j < m; j++) dp[i] = min(dp[i], dp[i & (i ^ sm[mmp][j])] + Tm[mmp][j]); } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; char s[25][25]; int n, m, dp[1100000], num[25][25], INF = 1e9, MAXS; int POW[25], MS[25][25], cost[25][25]; void init() { int i, j, k, S; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { MS[i][j] = MAXS; for (k = 1; k <= n; k++) if (s[i][j] == s[k][j]) { MS[i][j] -= POW[k]; if (k != i) cost[i][j] += num[k][j]; } } } int main() { int i, j, k, ret, S, S2; bool flag; scanf("%d%d", &n, &m); for (i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) scanf("%d", &num[i][j]); POW[1] = 1; for (i = 2; i <= 23; i++) POW[i] = POW[i - 1] * 2; MAXS = POW[n + 1] - 1; init(); ret = MAXS; for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { flag = true; for (k = 1; k <= n; k++) if (s[i][j] == s[k][j] && i != k) flag = false; if (flag) { ret -= POW[i]; break; } } } dp[ret] = 0; for (S = 0; S < ret; S++) dp[S] = INF; for (S = ret; S > 0; S--) if (dp[S] < INF) { for (i = 1; i <= n; i++) if (S & POW[i]) { for (j = 1; j <= m; j++) { S2 = S - POW[i]; dp[S2] = min(dp[S2], dp[S] + num[i][j]); S2 = S & MS[i][j]; dp[S2] = min(dp[S2], dp[S] + cost[i][j]); } } } printf("%d\n", dp[0]); }
#include <bits/stdc++.h> using namespace std; int dp[1 << 20], w[25][25]; string s[25]; pair<int, int> alph[25][26]; int ma[25][26]; int cost[1 << 20]; vector<pair<int, int> > rco; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) cin >> w[i][j]; } fill(cost, cost + (1 << 20), (int)1e9); cost[0] = 0; for (int i = 0; i < m; i++) { for (int j = 0; j < n; j++) { cost[1 << j] = min(cost[1 << j], w[j][i]); alph[i][(s[j][i] - 'a')].first |= (1 << j); alph[i][(s[j][i] - 'a')].second += w[j][i]; ma[i][s[j][i] - 'a'] = max(ma[i][s[j][i] - 'a'], w[j][i]); } for (int j = 0; j < 26; j++) { alph[i][j].second -= ma[i][j]; cost[alph[i][j].first] = min(cost[alph[i][j].first], alph[i][j].second); } } for (int i = 1; i < (1 << 20); i++) { if (cost[i] != (int)1e9) rco.push_back(make_pair(i, cost[i])); } fill(dp, dp + (1 << n), (int)1e9); dp[0] = 0; for (int i = 0; i < rco.size(); i++) { const int mask = rco[i].first, co = rco[i].second; for (int j = 0; j < (1 << n); j++) { dp[j | mask] = min(dp[j | mask], dp[j] + co); } } cout << dp[(1 << n) - 1]; }
#include <bits/stdc++.h> using namespace std; void Print() { cout << endl; } template <typename T1, typename... T> void Print(const T1 &t1, const T &...t) { cout << t1 << " "; Print(t...); } template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p) { os << "(" << p.first << ", " << p.second << ")"; return os; } const int N = 20; const int leng = 300; string s[N]; int cost[N][leng], c[N][leng], sv[N][leng], a[N][leng]; int d[1 << N]; int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < n; ++i) cin >> s[i]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> a[i][j]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { int curv = 0; for (int k = 0; k < n; ++k) { if (s[i][j] == s[k][j]) { sv[i][j] |= (1 << k); c[i][j] += a[k][j]; curv = max(curv, a[k][j]); } } c[i][j] -= curv; } for (int i = 0; i < 1 << n; ++i) d[i] = 1000000000; d[0] = 0; for (int mask = 1; mask < 1 << n; ++mask) { int lowbit = -1; for (int i = 0; i < n; ++i) if ((mask >> i) & 1) { lowbit = i; break; } for (int i = 0; i < m; ++i) { d[mask] = min(d[mask], d[mask & (mask ^ sv[lowbit][i])] + c[lowbit][i]); d[mask] = min(d[mask], d[mask ^ (1 << lowbit)] + a[lowbit][i]); } } cout << d[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dp[1 << 20]; int cost[30][30], f[30][30], change[30][30]; int n, m; char s[30][30]; inline void getCost() { for (int k = 0; k < n; ++k) { for (int i = 0; i < m; ++i) { int sum = 0, tem = 0; f[i][k] = 0x7fffffff; for (int j = 0; j < n; ++j) { if (s[j][i] == s[k][i]) { change[i][k] |= 1 << j; sum += cost[j][i]; tem = max(tem, cost[j][i]); } } f[i][k] = min(f[i][k], sum - tem); } } } int main() { ios::sync_with_stdio(0); cin >> n >> m; for (int i = 0; i < n; ++i) cin >> s[i]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> cost[i][j]; getCost(); memset(dp, 0x3f, sizeof dp); dp[0] = 0; for (int st = 0; st < (1 << n); ++st) { for (int i = 0; i < n; ++i) { if ((st & 1 << i) == 0) { for (int j = 0; j < m; ++j) { dp[st | change[j][i]] = min(dp[st | change[j][i]], dp[st] + f[j][i]); dp[st | 1 << i] = min(dp[st | 1 << i], dp[st] + cost[i][j]); } break; } } } cout << dp[(1 << n) - 1] << endl; }
#include <bits/stdc++.h> using namespace std; string s[25]; int n, m; int msk[25][128], dp[21][1 << 21], arr[25][25]; int sum[25][128]; void solve() { cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> arr[i][j]; sum[j][s[i][j]] += arr[i][j]; msk[j][s[i][j]] |= (1 << (i)); } } for (int i = m; i >= 0; i--) { for (int mask = ((1 << n) - 1); mask >= 0; mask--) { if (i == m) { if (mask == ((1 << n) - 1)) dp[i][mask] = 0; else dp[i][mask] = 100000000; } else { dp[i][mask] = 100000000; for (int j = 0; j < n; j++) { if (!(mask & (1 << j))) { int cur = arr[j][i] + dp[i][mask | (1 << j)]; cur = min(cur, sum[i][s[j][i]] - arr[j][i] + dp[i][mask | (msk[i][s[j][i]])]); dp[i][mask] = min(dp[i][mask], cur); } } dp[i][mask] = min(dp[i][mask], dp[i + 1][mask]); } } } cout << dp[0][0] << '\n'; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); int t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20; const int SCOPE = 26; int dp[1 << N]; int penalty[N][N]; char strings[N][N]; int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) { scanf("%s", strings[i]); } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { scanf("%d", &penalty[i][j]); } } int total = (1 << n); memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int j = 0; j < m; j++) { for (int mask = 0; mask < total; mask++) { for (int i = 0; i < n; i++) { dp[mask | (1 << i)] = min(dp[mask | (1 << i)], dp[mask] + penalty[i][j]); } } for (int ch = 0; ch < SCOPE; ch++) { int local_cost = 0, max_cost = 0; int cur_mask = 0; for (int i = 0; i < n; i++) { if (strings[i][j] == ch + 'a') { cur_mask |= (1 << i); local_cost += penalty[i][j]; max_cost = max(max_cost, penalty[i][j]); } } if (cur_mask != 0) { for (int mask = 0; mask < total; mask++) { dp[mask | cur_mask] = min(dp[mask | cur_mask], dp[mask] + local_cost - max_cost); } } } } printf("%d\n", dp[total - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20; const int M = 1048576; const int FILL = 505290270; int n, m, limit, turn; int same[N][N], cost[N][N], modify[N][N], e[N], f[M]; char b[N][N]; void pre() { int maxi; for (int j = 0; j < m; j++) for (int i = 0; i < n; i++) { maxi = 0; for (int k = 0; k < n; k++) if (b[i][j] == b[k][j]) { same[i][j] |= e[k]; maxi = max(maxi, modify[k][j]); cost[i][j] += modify[k][j]; } cost[i][j] -= maxi; } } void solve() { memset(f, 30, sizeof(f)); f[0] = 0; for (int j = 0; j < limit; j++) for (int i = 0; i < n; i++) if ((j & e[i]) == 0) for (int k = 0; k < m; k++) { f[j | e[i]] = min(f[j | e[i]], f[j] + modify[i][k]); f[j | same[i][k]] = min(f[j | same[i][k]], f[j] + cost[i][k]); } printf("%d\n", f[limit - 1]); } int main() { scanf("%d%d", &n, &m); limit = 1 << n; scanf("%s", b[0]); e[0] = 1; for (int i = 1; i < n; i++) { scanf("%s", b[i]); e[i] = e[i - 1] << 1; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &modify[i][j]); pre(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 5; const long long linf = 1e18 + 5; const int N = 20 + 5; const int M = 26 + 5; const int MAX = (1 << 20) + 5; int n, m, a[N][N], mx[N][M], sum[N][M], on[N][M], add[N][N], mask[N][N], dp[MAX]; char s[N][N]; int main() { cin >> n >> m; for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) cin >> a[i][j]; for (int j = 1; j <= m; j++) for (int i = 'a'; i <= 'z'; i++) for (int k = 1; k <= n; k++) if (s[k][j] == i) { mx[j][i - 'a'] = max(mx[j][i - 'a'], a[k][j]); sum[j][i - 'a'] += a[k][j]; on[j][i - 'a'] |= 1 << k - 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { add[i][j] = sum[j][s[i][j] - 'a'] - mx[j][s[i][j] - 'a']; mask[i][j] = on[j][s[i][j] - 'a']; } for (int i = (1 << n) - 2; i >= 0; i--) { int x; for (int j = 1; j <= n; j++) if (~i & 1 << j - 1) { x = j; break; } dp[i] = inf; for (int j = 1; j <= m; j++) { dp[i] = min(dp[i], dp[i | 1 << x - 1] + a[x][j]); dp[i] = min(dp[i], dp[i | mask[x][j]] + add[x][j]); } } cout << dp[0] << '\n'; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:128000000") using namespace std; void solve(); void precalc(); clock_t start; bool doing = true; int main() { int t = 1; cout.sync_with_stdio(0); cin.tie(0); precalc(); cout.precision(10); cout << fixed; start = clock(); int testNum = 1; while (t--) { solve(); } return 0; } void precalc() {} int binpow(int q, int w, int mod) { if (!w) return 1; if (w & 1) return q * binpow(q, w - 1, mod) % mod; return binpow(q * q % mod, w / 2, mod); } int gcd(int q, int w) { while (w) { q %= w; swap(q, w); } return q; } void solve() { int n, m; cin >> n >> m; vector<string> s(n); for (int i = 0; i < n; ++i) { cin >> s[i]; } vector<vector<int>> a(n, vector<int>(m)); for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { cin >> a[i][j]; } } vector<pair<int, int>> masks; int uniqMask = 0; for (int j = 0; j < m; ++j) { vector<pair<char, int>> letters; for (int i = 0; i < n; ++i) { letters.push_back(make_pair(s[i][j], i)); } sort(letters.begin(), letters.end()); for (int i = 0; i < letters.size();) { int r = i; while (r < letters.size() && letters[r].first == letters[i].first) { ++r; } if (r == i + 1) { uniqMask |= (1 << letters[i].second); i = r; continue; } vector<int> costs; int sum = 0; int curMask = 0; for (int k = i; k < r; ++k) { costs.push_back(a[letters[k].second][j]); curMask |= (1 << letters[k].second); sum += a[letters[k].second][j]; masks.push_back( make_pair(1 << letters[k].second, a[letters[k].second][j])); } sort(costs.begin(), costs.end()); sum -= costs.back(); masks.push_back(make_pair(curMask, sum)); i = r; } } long long INF = 1000000000000000000LL; vector<long long> dp(1 << n, INF); dp[uniqMask] = 0; for (auto item : masks) { int addMask = item.first; int cost = item.second; for (int mask = 0; mask < (1 << n); ++mask) { if (dp[mask] == INF) continue; if (dp[mask] + cost < dp[mask | addMask]) { dp[mask | addMask] = dp[mask] + cost; } } } cout << dp[(1 << n) - 1] << "\n"; }
#include <bits/stdc++.h> using namespace std; const int INF = std::numeric_limits<int>::max() / 3; int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } int lcm(int a, int b) { return a * (b / gcd(a, b)); } string w[22]; int a[22][22], cv[22][22], c[22][22]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; ++i) cin >> w[i]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> a[i][j]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { c[i][j] = 0; cv[i][j] = 0; int maxc = 0; for (int k = 0; k < n; ++k) { if (w[i][j] == w[k][j]) { cv[i][j] |= (1 << k); c[i][j] += a[k][j]; maxc = ((maxc) > (a[k][j]) ? (maxc) : (a[k][j])); } } c[i][j] -= maxc; } int dp[1 << n]; for (int i = 0; i < (1 << n); ++i) dp[i] = INF; int mask; dp[0] = 0; for (mask = 1; mask < (1 << n); ++mask) { int lowbit = -1; for (int i = 0; i < n; ++i) if ((mask >> i) & 1) { lowbit = i; break; } for (int i = 0; i < m; ++i) { dp[mask] = ((dp[mask]) < (dp[mask & (mask ^ cv[lowbit][i])] + c[lowbit][i]) ? (dp[mask]) : (dp[mask & (mask ^ cv[lowbit][i])] + c[lowbit][i])); dp[mask] = ((dp[mask]) < (dp[(mask ^ (1 << lowbit))] + a[lowbit][i]) ? (dp[mask]) : (dp[(mask ^ (1 << lowbit))] + a[lowbit][i])); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 20; string s[maxn]; int a[maxn][maxn]; int dp[1 << maxn]; int main() { ios_base::sync_with_stdio(false); int n, m; cin >> n >> m; for (int _n(n), i(0); i < _n; i++) { cin >> s[i]; } for (int _n(n), i(0); i < _n; i++) for (int _n(m), j(0); j < _n; j++) cin >> a[i][j]; vector<pair<int, int> > vals; int start = 0; for (int _n(m), j(0); j < _n; j++) { for (char c = 'a'; c <= 'z'; ++c) { int cnt = 0; int mask = 0; int mx = 0; int sum = 0; for (int _n(n), i(0); i < _n; i++) { if (s[i][j] != c) continue; ++cnt; mask |= 1 << i; mx = max(mx, a[i][j]); sum += a[i][j]; } if (cnt == 0) continue; if (cnt == 1) { start |= mask; continue; } vals.push_back(make_pair(mask, sum - mx)); } } for (int _n(n), i(0); i < _n; i++) { int mn = 1011111111; for (int _n(m), j(0); j < _n; j++) mn = min(mn, a[i][j]); vals.push_back(make_pair(1 << i, mn)); } for (int _n(1 << n), i(0); i < _n; i++) dp[i] = 1011111111; dp[start] = 0; for (const pair<int, int> &p : vals) { const int &mask = p.first; const int &val = p.second; for (int _n(1 << n), s(0); s < _n; s++) { dp[s | mask] = min(dp[s | mask], dp[s] + val); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int x[26], y[26], z[26], q[26]; int p[1 << 20]; int n, m; char s[26][26]; int g[26][26]; int mi[26]; int a, b, c, d; int dy[1 << 20]; inline void qmi(int &a, int b) { if (a > b) a = b; } inline void qma(int &a, int b) { if (a < b) a = b; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) dy[1 << (i - 1)] = i; for (int i = 1; i <= n; ++i) scanf("%s", s[i] + 1); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) scanf("%d", &g[i][j]); for (int i = 1; i <= (1 << n) - 1; ++i) p[i] = 1000000000; for (int i = 1; i <= n; ++i) { a = g[i][1]; for (int j = 2; j <= m; ++j) qmi(a, g[i][j]); mi[i] = a; } for (int j = 1; j <= m; ++j) { for (int i = 0; i <= 25; ++i) x[i] = y[i] = z[i] = 0; for (int i = 1; i <= n; ++i) { x[s[i][j] - 'a'] += g[i][j]; qma(y[s[i][j] - 'a'], g[i][j]); z[s[i][j] - 'a'] |= 1 << (i - 1); } for (int i = 0; i <= 25; ++i) x[i] -= y[i]; for (int i = 0; i <= 25; ++i) { if (z[i] == 0) continue; if (dy[z[i]]) { qmi(mi[dy[z[i]]], x[i]); continue; } for (int k = 0; k <= (1 << n) - 1; ++k) qmi(p[k | z[i]], p[k] + x[i]); } } for (int k = 0; k <= (1 << n) - 1; ++k) for (int i = 1; i <= n; ++i) qmi(p[k | (1 << (i - 1))], p[k] + mi[i]); printf("%d\n", p[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 7; const int maxn = 21; char s[maxn][maxn]; int dp[1 << maxn], a[maxn][maxn], cost[maxn][maxn], same[maxn][maxn]; int main() { int n, m; ios::sync_with_stdio(false); cin >> n >> m; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> s[i][j]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int sum = 0, ma = 0; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { sum += a[k][j]; ma = max(ma, a[k][j]); same[i][j] |= (1 << k); } } cost[i][j] = sum - ma; } } for (int i = 1; i < (1 << n); i++) dp[i] = inf; for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < m; k++) { dp[i | (1 << j)] = min(dp[i | (1 << j)], dp[i] + a[j][k]); dp[i | same[j][k]] = min(dp[i | same[j][k]], dp[i] + cost[j][k]); } } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dp[1 << 25]; int n, m; int a[30][30]; int qi[30][30]; int st[30][30]; char c[30][30]; int lowbit(int x) { return (x & (-x)); } int main() { scanf("%d", &n); scanf("%d", &m); for (int i = 1; i <= n; i++) scanf("%s", c[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { int it = -2e9, sum = 0; for (int k = 1; k <= n; k++) { if (c[k][j] == c[i][j]) { st[i][j] |= (1 << (k - 1)); sum += a[k][j]; it = max(it, a[k][j]); } } sum -= it; qi[i][j] = sum; } } memset(dp, 127, sizeof(dp)); dp[0] = 0; for (int i = 0; i <= (1 << n) - 1; i++) { for (int k = 0; k < n; k++) if (!((1 << k) & i)) for (int j = 1; j <= m; j++) { dp[i | (1 << k)] = min(dp[i | (1 << k)], dp[i] + a[k + 1][j]); dp[i | st[k + 1][j]] = min(dp[i] + qi[k + 1][j], dp[i | st[k + 1][j]]); } } cout << dp[(1 << n) - 1] << endl; }
#include <bits/stdc++.h> using namespace std; int n, m; char s[30][30]; int a[30][30]; int sum[30][30]; int sta[30][30]; int dp[1 << 21]; int bul(int state) { if (state == (1 << n) - 1) return 0; int &ret = dp[state]; if (ret != -1) return ret; ret = 1000000007LL; for (long long int i = 1; i <= n; i++) if (!(state & (1 << i - 1))) { for (long long int j = 1; j <= m; j++) ret = min(ret, min(bul(state | (1 << i - 1)) + a[i][j], bul(state | sta[i][j]) + sum[i][j])); return ret; } } int main() { cin >> n >> m; for (long long int i = 1; i <= n; i++) for (long long int j = 1; j <= m; j++) cin >> s[i][j]; for (long long int i = 1; i <= n; i++) for (long long int j = 1; j <= m; j++) cin >> a[i][j]; for (long long int i = 1; i <= n; i++) for (long long int j = 1; j <= m; j++) { int maxi = 0; for (long long int k = 1; k <= n; k++) if (s[i][j] == s[k][j]) { sum[i][j] += a[k][j]; sta[i][j] |= (1 << k - 1); maxi = max(maxi, a[k][j]); } sum[i][j] -= maxi; } memset(dp, -1, sizeof dp); cout << bul(0) << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 22; const int M = 22; const int INF = 1e9; int n, m; int dp[1 << N]; char str[N][M]; int val[N][M], cst[N][M], msk[N][M]; int main() { scanf("%d %d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", str[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &val[i][j]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int total = 0; int maxn = 0; for (int k = 0; k < n; k++) { if (str[i][j] == str[k][j]) { msk[i][j] |= (1 << k); total += val[k][j]; maxn = max(maxn, val[k][j]); } } cst[i][j] = total - maxn; } } for (int i = 1; i < (1 << n); i++) dp[i] = INF; dp[0] = 0; for (int i = 1; i < (1 << n); i++) { int first = 0; while ((i & (1 << first)) == 0) first++; for (int j = 0; j < m; j++) { dp[i] = min(dp[i], dp[i ^ (1 << first)] + val[first][j]); dp[i] = min(dp[i], dp[i & (i ^ msk[first][j])] + cst[first][j]); } } printf("%d\n", dp[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; int n, m; char s[20][21]; int a[20][20]; int g[20][20], cost[20][20]; int dp[1 << 20]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int mx = 0; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { g[i][j] |= 1 << k; cost[i][j] += a[k][j]; mx = max(mx, a[k][j]); } } cost[i][j] -= mx; } memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int s = 0; s < 1 << n; s++) { int lb = -1; for (int i = 0; i < n; i++) if (s >> i & 1 ^ 1) { lb = i; break; } if (lb != -1) for (int i = 0; i < m; i++) { dp[s | 1 << lb] = min(dp[s | 1 << lb], dp[s] + a[lb][i]); dp[s | g[lb][i]] = min(dp[s | g[lb][i]], dp[s] + cost[lb][i]); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, cost[20][20], dp[1 << 20]; char sd[20][21]; int sv(int bs) { int& ans = dp[bs]; if (ans == -1) { ans = INT_MAX; int n = __builtin_ffs(bs) - 1; for (int m = 0; m < int(M); m++) { int nbs = bs & ~(1 << n); ans = min(ans, cost[n][m] + sv(nbs)); int rc = 0, mc = 0; for (int n2 = 0; n2 < int(N); n2++) if (sd[n2][m] == sd[n][m]) { rc += cost[n2][m]; nbs &= ~(1 << n2); mc = max(mc, cost[n2][m]); } ans = min(ans, rc - mc + sv(nbs)); } } return ans; } int main() { scanf("%d%d", &N, &M); for (int n = 0; n < int(N); n++) scanf("%s", sd[n]); for (int n = 0; n < int(N); n++) for (int m = 0; m < int(M); m++) scanf("%d", &cost[n][m]); memset(dp, -1, sizeof dp); dp[0] = 0; printf("%d\n", sv((1 << N) - 1)); }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 7; const int N = 20; const int E = 1 << 20; int n, m, a[N][N], c[N][N], maxst; int t[E], avl[E], an, f[E]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { char c; c = getchar(); while (c < 'a' || c > 'z') c = getchar(); a[i][j] = c - 'a'; } for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) scanf("%d", &c[i][j]); maxst = 1 << n; for (int i = 0; i < maxst; ++i) t[i] = inf; for (int i = 0; i < m; ++i) { for (int j = 0; j < 26; ++j) { int sum = 0, mx = 0, st = 0; for (int k = 0; k < n; ++k) if (a[k][i] == j) { sum += c[k][i]; mx = max(mx, c[k][i]); st |= 1 << k; } sum -= mx; t[st] = min(t[st], sum); } } for (int i = 0; i < n; ++i) { int st = 1 << i; for (int j = 0; j < m; ++j) t[st] = min(t[st], c[i][j]); } an = 0; for (int i = 0; i < maxst; ++i) if (t[i] != inf) { avl[an++] = i; } for (int i = 1; i < maxst; ++i) f[i] = inf; f[0] = 0; for (int i = 0; i < maxst; ++i) for (int j = 0; j < an; ++j) { int st = avl[j]; f[i | st] = min(f[i | st], f[i] + t[st]); } printf("%d\n", f[maxst - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[1 << 21], cost[21][21], v[21][21], n, m, val[21][21], _max; char str[21][21]; int main() { while (~scanf("%d %d", &n, &m)) { getchar(); memset(val, 0, sizeof(val)); memset(v, 0, sizeof(v)); for (int i = 0; i < n; i++) scanf("%s", str[i]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) scanf("%d", &cost[i][j]); } for (int j = 0; j < m; j++) { for (int i = 0; i < n; i++) { _max = 0; for (int k = 0; k < n; k++) { if (str[i][j] == str[k][j]) { val[i][j] |= (1 << k); _max = max(_max, cost[k][j]); v[i][j] += cost[k][j]; } } v[i][j] -= _max; } } _max = (1 << n); memset(dp, 0x3f3f3f3f, sizeof(dp)); dp[0] = 0; for (int i = 0; i < _max; i++) { for (int j = 0; j < n; j++) { if ((i & (1 << j)) == 0) { for (int lie = 0; lie < m; lie++) { dp[i | (1 << j)] = min(dp[i | (1 << j)], dp[i] + cost[j][lie]); dp[i | val[j][lie]] = min(dp[i | val[j][lie]], dp[i] + v[j][lie]); } } } } printf("%d\n", dp[_max - 1]); } }
#include <bits/stdc++.h> using namespace std; char s[(1 << 5)][(1 << 5)]; vector<int> f[1 << 7]; int n, m, a[(1 << 5)][(1 << 5)], dp[1 << 20], g[1 << 20]; int main() { cin >> n >> m; for (int i = 0; i < n; i++) scanf("%s", s[i] + 1); for (int i = 0; i < n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); for (int i = 1; i < 1 << n; i++) dp[i] = (1 << 29); dp[0] = 0; for (int i = 1; i <= m; i++) { for (int j = 0; j < 1 << 7; j++) f[j].clear(); for (int j = 0; j < n; j++) f[s[j][i]].push_back(j); for (int j = 0; j < 1 << 7; j++) { if (!f[j].size()) continue; int sum = 0, mx = 0, st = 0; for (int k = 0; k < 1 << n; k++) g[k] = dp[k]; for (int k = 0; k < f[j].size(); k++) { int x = f[j][k], w = a[x][i]; sum += w, mx = max(mx, w), st |= (1 << x); for (int r = (1 << n) - 1; r >= 0; r--) if (r & (1 << x)) dp[r] = min(dp[r], dp[r ^ (1 << x)] + a[x][i]); } sum -= mx; for (int r = 0; r < 1 << n; r++) dp[r | st] = min(dp[r | st], g[r] + sum); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int Inf = numeric_limits<int>::max() / 2; int main() { int N, M; cin >> N >> M; vector<string> S(N); for (int i = 0; i < N; ++i) { cin >> S[i]; } vector<vector<int>> A(N, vector<int>(M)); for (int i = 0; i < N; ++i) { for (int j = 0; j < M; ++j) { cin >> A[i][j]; } } vector<vector<int>> ST(N, vector<int>(M)); vector<vector<int>> Sum(N, vector<int>(M)); for (int i = 0; i < M; ++i) { for (int j = 0; j < N; ++j) { int Max = 0; for (int k = 0; k < N; ++k) { if (S[k][i] == S[j][i]) { ST[j][i] |= 1 << k; Sum[j][i] += A[k][i]; Max = max(Max, A[k][i]); } } Sum[j][i] -= Max; } } vector<int> dp(1 << N, Inf); dp[0] = 0; for (int S = 0; S < 1 << N; ++S) { int P = -1; for (int i = N - 1; i >= 0; --i) { if (!(S >> i & 1)) { P = i; } } if (P != -1) { for (int i = 0; i < M; ++i) { dp[S | (1 << P)] = min(dp[S | (1 << P)], dp[S] + A[P][i]); dp[S | ST[P][i]] = min(dp[S | ST[P][i]], dp[S] + Sum[P][i]); } } } cout << dp.back() << '\n'; }
#include <bits/stdc++.h> using namespace std; const int maxn = 21, maxm = 26; int n, m, c[maxn][maxm], id[maxn], f[1 << maxn]; char str[maxn][maxm], que[maxn]; bool cmp(const int &x, const int &y) { return que[x] < que[y]; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) scanf("%s", str[i]); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) scanf("%d", c[i] + j); memset(f, 0x3f, sizeof f); f[0] = 0; for (int i = 0; i < m; ++i) { for (int j = 0; j < n; ++j) { que[j] = str[j][i]; id[j] = j; } sort(id, id + n, cmp); for (int j = 0, k; j < n; j = k) { for (k = j + 1; k < n && que[id[k - 1]] == que[id[k]]; ++k) ; int w = 0, tmp = 0, o = 0; for (int t = j; t < k; ++t) { w += c[id[t]][i]; if (tmp < c[id[t]][i]) tmp = c[id[t]][i]; o |= 1 << id[t]; } w -= tmp; for (int s = 0; s < 1 << n; ++s) if (f[s | o] > f[s] + w) f[s | o] = f[s] + w; for (int t = j; t < k; ++t) { w = c[id[t]][i]; o = 1 << id[t]; for (int s = 0; s < 1 << n; ++s) if (f[s | o] > f[s] + w) f[s | o] = f[s] + w; } } } printf("%d\n", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int v[25][25], dp[(1 << 21)]; string s[25]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { cin >> s[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> v[i][j]; } } for (int i = 1; i <= (1 << n) - 1; i++) { dp[i] = 50000000; } for (int i = 0; i <= (1 << n) - 1; i++) { int last = 0; for (int j = 0; j < n; j++) { if (!(i & (1 << j))) { last = j; break; } } for (int j = 0; j < m; j++) { dp[i + (1 << last)] = min(dp[i + (1 << last)], dp[i] + v[last][j]); int poz = i, sum = 0, ma = 0; for (int k = 0; k < n; k++) { if (s[last][j] == s[k][j]) { poz |= 1 << k; sum += v[k][j]; ma = max(ma, v[k][j]); } } dp[poz] = min(dp[poz], dp[i] + sum - ma); } } cout << dp[(1 << n) - 1]; return 0; }
#include <bits/stdc++.h> using ll = long long; const ll mod = 1e9 + 7; const ll N = 30; const int base = 400; using ull = unsigned long long; using namespace std; ll n, m, t, k, T, a[N][N], c[N][N], ans, u, tong, v, dp[(1 << 21)], b[N][N], lab[N], cnt; vector<ll> kq, adj[N]; string s[N]; ll pw(ll k, ll n) { ll total = 1; for (; n; n >>= 1) { if (n & 1) total = (total * k) % mod; k = (k * k) % mod; } return total; } void sol() { cin >> n >> m; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int l = 0; l < n; l++) { for (int j = 0; j < m; j++) { ll mx = 0; for (int r = 0; r < n; r++) { if (s[l][j] == s[r][j]) { b[l][j] += a[r][j]; c[l][j] |= (1 << r); mx = max(mx, a[r][j]); } } b[l][j] -= mx; } } for (int i = 1; i < (1 << n); i++) { dp[i] = mod; for (int l = 0; l < n; l++) { if ((i >> l) & 1) { for (int j = 0; j < m; j++) { dp[i] = min(dp[i], dp[(i ^ (1 << l))] + a[l][j]); dp[i] = min(dp[i], dp[(i & (((1 << n) - 1) ^ c[l][j]))] + b[l][j]); } break; } } } cout << dp[(1 << n) - 1]; } int main() { if (fopen("pieaters" ".inp", "r")) { freopen( "pieaters" ".inp", "r", stdin); freopen( "pieaters" ".out", "w", stdout); } ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int ntest; ntest = 1; while (ntest-- > 0) sol(); }
#include <bits/stdc++.h> template <class T> inline bool cmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } template <class T> inline bool cmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; } using namespace std; const int N = 25, L = (1 << 20) + 5, inf = 0x3f3f3f3f; char s[N][N]; int f[L], a[N][N], n, m, lim; int main() { scanf("%d%d", &n, &m); for (register int i = (0), I = (n - 1) + 1; i < I; ++i) scanf("%s", s[i]); for (register int i = (0), I = (n - 1) + 1; i < I; ++i) for (register int j = (0), I = (m - 1) + 1; j < I; ++j) scanf("%d", &a[i][j]); memset(f, 0x3f, sizeof(f)); lim = (1 << n) - 1, f[0] = 0; for (int i = 0; i < lim; i++) for (int j = 0; j < n; j++) if (!((i >> j) & 1)) { for (int k = 0; k < m; k++) { f[i | (1 << j)] = min(f[i | (1 << j)], f[i] + a[j][k]); int add = 0; int maxx = 0; int change = 0; for (int l = 0; l < n; l++) { if (s[j][k] == s[l][k]) { add += a[l][k]; maxx = max(maxx, a[l][k]); change |= (1 << l); } } f[i | change] = min(f[i | change], f[i] + add - maxx); } break; } printf("%d\n", f[lim]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; char a[25][25]; int cost[30][30], val[30][30], p, d[1 << 20], hap[30][30], maxi[30][30]; int main() { int i, j, s; scanf("%d %d", &n, &m); for (i = 0; i < n; i++) { scanf("%s", a[i]); } for (i = 0; i < n; i++) { for (j = 0; j < m; j++) { scanf("%d", &cost[i][j]); val[j][a[i][j] - 'a' + 1] += (1 << i); hap[j][a[i][j] - 'a' + 1] += cost[i][j]; maxi[j][a[i][j] - 'a' + 1] = max(maxi[j][a[i][j] - 'a' + 1], cost[i][j]); } } for (i = 1; i < (1 << n); i++) { if (i == (1 << n) - 1) { d[i] = 2147483647; } d[i] = 2147483647; for (j = n - 1; j >= 0; j--) { if ((1 << j) & i) { p = j; break; } } for (j = 0; j < m; j++) { s = i & val[j][a[p][j] - 'a' + 1]; if ((i & s) == s) { d[i] = min(d[i], d[i ^ s] + hap[j][a[p][j] - 'a' + 1] - maxi[j][a[p][j] - 'a' + 1]); } d[i] = min(d[i], d[i - (1 << p)] + cost[p][j]); } } printf("%d", d[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 25; int a[N][N]; char s[N][N]; int rev[1 << N]; int dp[N]; int cost[N][N], st[N][N]; int lowbit(int x) { return x & (-x); } void update(int &x, int y) { if (x == -1) x = y; else x = min(x, y); } int main() { for (int i = 0; i < N; i++) rev[1 << i] = i; int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int mx = 0; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { mx = max(mx, a[k][j]); st[i][j] |= (1 << k); cost[i][j] += a[k][j]; } } cost[i][j] -= mx; } for (int i = 1; i < (1 << n); i++) dp[i] = 1000000000; for (int i = 0; i < (1 << n) - 1; i++) { if (dp[i] == -1) continue; for (int pos = 0; pos < n; pos++) { for (int j = 0; j < m; j++) { update(dp[i | st[pos][j]], dp[i] + cost[pos][j]); update(dp[i | (1 << pos)], dp[i] + a[pos][j]); } } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = (int)2e9; int main() { int n, m; scanf("%d %d ", &n, &m); vector<string> mst(n); for (auto &i : mst) cin >> i; vector<vector<int>> a(n, vector<int>(m)); for (auto &i : a) for (auto &j : i) scanf("%d", &j); vector<int> dp(1 << n, INF); int alreadysep = 0; for (int i = 0; i < m; i++) { for (int j = 0; j < n; j++) { bool f = true; for (int k = 0; k < n; k++) { if (k == j) continue; if (mst[j][i] == mst[k][i]) { f = false; break; } } if (f) alreadysep |= (1 << j); } } dp[alreadysep] = 0; for (int mask = 0; mask < (1 << n); mask++) { if ((mask & alreadysep) != alreadysep) continue; int ind; for (int j = 0; j < n; j++) { if (!(mask & (1 << j))) { ind = j; break; } } if (dp[mask] == INF) continue; for (int col = 0; col < m; col++) { int sm = 0, mx = 0, cnt = 0, orv = 0; for (int which = 0; which < n; which++) { if (mst[which][col] == mst[ind][col]) { if (a[which][col] > mx) { sm += mx; mx = a[which][col]; } else { sm += a[which][col]; } cnt++; orv |= (1 << which); } } if (cnt > 1) { dp[mask | orv] = min(dp[mask | orv], dp[mask] + sm); dp[mask | (1 << ind)] = min(dp[mask | (1 << ind)], dp[mask] + a[ind][col]); } else { dp[mask | (1 << ind)] = min(dp[mask | (1 << ind)], dp[mask]); } } } printf("%d\n", dp[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; int d[1 << 20], sv[30][30], a[30][30], c[30][30]; char str[30][30]; int main() { int n, m, i, j, k, x, y, lim, mask; cin >> n >> m; for (i = 0; i < n; ++i) cin >> str[i]; for (i = 0; i < n; ++i) for (j = 0; j < m; ++j) cin >> a[i][j]; for (i = 0; i < n; ++i) { for (j = 0; j < m; ++j) { x = 0; for (k = 0; k < n; ++k) { if (str[i][j] == str[k][j]) { sv[i][j] |= (1 << k); c[i][j] += a[k][j]; x = max(x, a[k][j]); } } c[i][j] -= x; } } lim = (1 << n) - 1; for (i = 0; i <= lim; ++i) d[i] = 1000000007; d[0] = 0; for (mask = 1; mask <= lim; ++mask) { x = 0; for (i = 0; i < n; ++i) { if (mask & (1 << i)) { x = i; break; } } for (i = 0; i < m; ++i) { d[mask] = min(d[mask], d[mask & (mask ^ sv[x][i])] + c[x][i]); d[mask] = min(d[mask], d[mask ^ (1 << x)] + a[x][i]); } } cout << d[lim] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int max_n = 22, inf = 1111111111; int n, m, dp[1 << max_n], a[max_n][max_n], nmask[max_n][max_n], res[max_n][max_n]; string s[max_n]; bool get_bit(int x, int poz) { return (bool)(x & (1 << poz)); } int main() { cin >> n >> m; for (int i = 0; i < n; ++i) { cin >> s[i]; } for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { cin >> a[i][j]; } } for (int poz = 0; poz < n; ++poz) { for (int i = 0; i < m; ++i) { int mx = 0; for (int j = 0; j < n; ++j) { if (s[poz][i] == s[j][i]) { res[poz][i] += a[j][i]; mx = max(mx, a[j][i]); nmask[poz][i] |= (1 << j); } } res[poz][i] -= mx; } } dp[0] = 0; for (int mask = 1; mask < (1 << n); ++mask) { int poz; for (int i = 0; i < n; ++i) { if (get_bit(mask, i)) { poz = i; } } dp[mask] = inf; for (int i = 0; i < m; ++i) { dp[mask] = min(dp[mask], a[poz][i] + dp[mask ^ (1 << poz)]); dp[mask] = min(dp[mask], res[poz][i] + dp[mask ^ (mask & nmask[poz][i])]); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 20; const int leng = 300; string s[N]; int cost[N][leng], c[N][leng], sv[N][leng], a[N][leng]; int d[1 << N]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < int(n); i++) cin >> s[i]; for (int i = 0; i < int(n); i++) for (int j = 0; j < int(m); j++) cin >> a[i][j]; for (int i = 0; i < int(n); i++) { for (int j = 0; j < int(m); j++) { int curv = 0; for (int k = 0; k < int(n); k++) { if (s[i][j] == s[k][j]) { sv[i][j] |= (1 << k); c[i][j] += a[k][j]; curv = max(curv, a[k][j]); } } c[i][j] -= curv; } } for (int i = 0; i < int(1 << n); i++) d[i] = 1000000000; d[0] = 0; for (int mask = 0; mask < int(1 << n); mask++) { if (mask == 0) continue; int lowbit = -1; for (int i = n - 1; i >= 0; i--) { if ((mask & (1 << i)) != 0) { lowbit = i; break; } } for (int i = 0; i < int(m); i++) { d[mask] = min(d[mask], d[mask & (mask ^ sv[lowbit][i])] + c[lowbit][i]); d[mask] = min(d[mask], d[mask ^ (1 << lowbit)] + a[lowbit][i]); } } printf("%d\n", d[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; const int inf = 1e8; const int maxn = 20; int d[1 << (maxn + 1)], a[maxn][maxn]; string s[maxn]; int lowzero(int S) { for (int i = 0; i < maxn; i++) if (!((S >> i) & 1)) return i; return maxn - 1; } int main(int argc, char const *argv[]) { int n, m; while (cin >> n >> m) { for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; for (int i = (1 << n) - 1; i > 0; i--) d[i] = inf; d[0] = 0; int M = 1 << n; for (int S = 0; S < M; S++) { int bit = lowzero(S); for (int c = 0; c < m; c++) { d[S | (1 << bit)] = min(d[S | (1 << bit)], d[S] + a[bit][c]); int sum = 0, mw = 0, bits = 0; for (int r = 0; r < n; r++) if (s[bit][c] == s[r][c]) { sum += a[r][c]; mw = max(mw, a[r][c]); bits |= 1 << r; } d[S | bits] = min(d[S | bits], d[S] + sum - mw); } } cout << d[M - 1] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; char s[21][21]; int w[21][21], sm[21][21], cs[21][21]; int dp[1 << 21], n, m; void dispose() { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int al = 0, mx = 0; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { al += w[k][j]; mx = max(mx, w[k][j]); sm[i][j] |= (1 << k); } } cs[i][j] = al - mx; } } memset(dp, 0x3f, sizeof dp); dp[0] = 0; for (int s = 0; s < (1 << n); s++) { for (int i = 0; i < n; i++) { if (!(s >> i & 1)) { for (int j = 0; j < m; j++) { dp[s | (1 << i)] = min(dp[s | (1 << i)], dp[s] + w[i][j]); dp[s | sm[i][j]] = min(dp[s | sm[i][j]], dp[s] + cs[i][j]); } break; } } } } int main() { cin >> n >> m; for (int i = 0; i < n; i++) { scanf("%s", s[i]); } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { scanf("%d", &w[i][j]); } } dispose(); printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, len; string s[20]; int cost[21][21]; int c[(1 << 20) + 8]; int mask[21][26]; int sum[21][26]; vector<int> idx[21][26]; void set_min(int& a, int b) { a = min(a, b); } int main() { cin >> n >> len; for (int i = 0; i < n; ++i) { cin >> s[i]; for (int j = 0; j < len; ++j) { idx[j][s[i][j] - 'a'].push_back(i); mask[j][s[i][j] - 'a'] |= (1 << i); } } for (int i = 0; i < n; ++i) for (int j = 0; j < len; ++j) { cin >> cost[i][j]; sum[j][s[i][j] - 'a'] += cost[i][j]; } map<int, int> choices; auto add_choice = [&](int mask, int cost) { if (choices.count(mask)) set_min(choices[mask], cost); else choices[mask] = cost; }; for (int i = 0; i < n; ++i) for (int j = 0; j < len; ++j) { int c = s[i][j] - 'a'; add_choice(mask[j][c], sum[j][c] - cost[i][j]); add_choice(1 << i, cost[i][j]); } for (int i = 0; i < (1 << n) + 8; ++i) c[i] = 987654321; c[0] = 0; for (int handled = 0; handled < (1 << n) - 1; ++handled) { for (const auto& mask_cost : choices) { set_min(c[handled | mask_cost.first], c[handled] + mask_cost.second); } } printf("%d\n", c[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; char str[100][100]; int f[100][100], dp[1 << 21], sum[100][100]; int statu[100][100]; int main() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) cin >> str[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> f[i][j]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int maxv = 0; for (int k = 0; k < n; k++) { if (str[i][j] == str[k][j]) { sum[i][j] += f[k][j]; maxv = max(maxv, f[k][j]); statu[i][j] |= (1 << k); } } sum[i][j] -= maxv; } } fill(dp, dp + (1 << 21), INF); dp[0] = 0; for (int i = 0; i < (1 << n) - 1; i++) { for (int j = 0; j < n; j++) { if ((i & (1 << j)) == 0) { int a = (1 << j); for (int k = 0; k < m; k++) { int b = statu[j][k]; dp[i | a] = min(dp[i | a], dp[i] + f[j][k]); dp[i | b] = min(dp[i | b], dp[i] + sum[j][k]); } } } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast", "inline") using namespace std; template <class T> inline void read(T &x) { int ch = 0, f = 0; x = 0; for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = 1; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - 48; if (f) x = -x; } const int N = 1 << 20; char str[21][21]; int a[21][21], B[21][26], sum[21][26], mx[21][26], mn[21], f[N], n, m; int main() { read(n), read(m); for (int i = 1; i <= n; i++) { scanf("%s", str[i] + 1); for (int j = 1; j <= m; j++) B[j][str[i][j] - 'a'] |= (1 << (i - 1)); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) read(a[i][j]); mn[i] = a[i][1]; for (int j = 2; j <= m; j++) mn[i] = min(mn[i], a[i][j]); for (int j = 1; j <= m; j++) { sum[j][str[i][j] - 'a'] += a[i][j]; mx[j][str[i][j] - 'a'] = max(mx[j][str[i][j] - 'a'], a[i][j]); } } for (int i = 1; i <= m; i++) for (int j = 0; j < 26; j++) sum[i][j] -= mx[i][j]; memset(f, 0x3f, sizeof(f)); f[0] = 0; for (int s = 1; s < (1 << n); s++) { for (int i = 0; i < n; i++) if ((1 << i) & s) f[s] = min(f[s], f[s ^ (1 << i)] + mn[i + 1]); for (int i = 1; i <= m; i++) for (int j = 0; j < 26; j++) if ((s & B[i][j])) f[s] = min(f[s], f[s ^ (s & B[i][j])] + sum[i][j]); } cout << f[(1 << n) - 1]; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long dp[(1 << 20)]; int msk; int cnt[21][30]; long long c[21][30]; long long mxc[21][30]; int chMsk[21][30]; long long g[21][21]; int sm[(1 << 20)]; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int N, M; cin >> N >> M; vector<string> a(N); for (int i = 0; i < N; i++) cin >> a[i]; for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) cin >> g[i][j]; for (int i = (1 << N) - 1; i >= 0; i--) { for (int j = 0; j < N; j++) { if (!(i & (1 << j))) { sm[i] = j; break; } } } for (int i = 0; i < M; i++) { for (int j = 0; j < N; j++) { cnt[i][a[j][i] - 'a']++; chMsk[i][a[j][i] - 'a'] |= (1 << j); c[i][a[j][i] - 'a'] += g[j][i]; mxc[i][a[j][i] - 'a'] = max(mxc[i][a[j][i] - 'a'], g[j][i]); } } dp[(1 << N) - 1] = 0; for (int i = (1 << N) - 2; i >= 0; i--) { dp[i] = INT_MAX; int k = sm[i]; for (int j = 0; j < M; j++) { dp[i] = min(dp[i], g[k][j] + dp[i | (1 << k)]); dp[i] = min(dp[i], c[j][a[k][j] - 'a'] - mxc[j][a[k][j] - 'a'] + dp[i | chMsk[j][a[k][j] - 'a']]); } } cout << dp[0] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1.0); const double eps = 1e-11; void fastIO() { std::ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } char mat[22][22]; int c[22][22]; int tc[22][22]; int cellMask[22][22]; long long dp[1 << 22]; int main() { fastIO(); int n, m, mxCost, lsb, cnt; cin >> n >> m; for (int i = 0; i < (1 << 22); i++) dp[i] = 1000000000; dp[0] = 0; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> mat[i][j]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> c[i][j]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { mxCost = 0; for (int k = 0; k < n; k++) { if (mat[i][j] == mat[k][j]) { mxCost = max(mxCost, c[k][j]); cellMask[i][j] |= (1 << k); tc[i][j] += c[k][j]; } } tc[i][j] -= mxCost; } } for (int msk = 1; msk < (1 << n); msk++) { cnt = 0; lsb = __builtin_ctz(msk); for (int j = 0; j < m; j++) { dp[msk] = min(dp[msk], dp[msk ^ (1 << lsb)] + c[lsb][j]); dp[msk] = min(dp[msk], dp[msk & (msk ^ cellMask[lsb][j])] + tc[lsb][j]); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 2e9; int n, m, w[22][22], dp[1 << 22], same[22][22], cost[22][22]; char g[22][22]; int main() { scanf("%d%d", &n, &m); for (register int i = 0; i <= (1 << n); i++) dp[i] = inf; dp[0] = 0; for (register int i = 0; i < n; ++i) scanf("%s", &g[i]); for (register int i = 0; i < n; ++i) for (register int j = 0; j < m; ++j) scanf("%d", &w[i][j]); for (register int i = 0; i < n; ++i) for (register int j = 0; j < m; ++j) { int sumc = 0, maxc = 0; for (register int k = 0; k < n; ++k) if (g[i][j] == g[k][j]) { sumc += w[k][j]; maxc = max(maxc, w[k][j]); same[i][j] |= 1 << k; } cost[i][j] = sumc - maxc; } for (register int s = 0; s < (1 << n); ++s) for (register int i = 0; i < n; ++i) if (!(s >> i & 1)) for (register int j = 0; j < m; ++j) { dp[s | (1 << i)] = min(dp[s | (1 << i)], dp[s] + w[i][j]); dp[s | same[i][j]] = min(dp[s | same[i][j]], dp[s] + cost[i][j]); } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[1 << 21], cost[21][21], n, m, cost2[21][21], id[21][21]; char str[21][21]; int main() { int i, j, k, ans, N, lowbit; while (scanf("%d%d", &n, &m) != EOF) { N = 1 << n; memset(cost2, 0, sizeof(cost2)); memset(id, 0, sizeof(id)); for (i = 0; i < n; i++) scanf("%s", str[i]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) scanf("%d", &cost[i][j]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) { int mx = 0; for (k = 0; k < n; k++) if (str[i][j] == str[k][j]) { cost2[i][j] += cost[k][j]; id[i][j] += (1 << k); mx = max(mx, cost[k][j]); } cost2[i][j] -= mx; } for (i = 1; i < N; i++) { dp[i] = 2100000000; for (j = 0; j < n; j++) if ((1 << j) & i) { lowbit = j; break; } for (j = 0; j < m; j++) { dp[i] = min(dp[i], dp[i ^ (1 << lowbit)] + cost[lowbit][j]); dp[i] = min(dp[i], dp[i ^ id[lowbit][j] & i] + cost2[lowbit][j]); } } printf("%d\n", dp[N - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = (1 << 20) + 5, MAXM = 2e6 + 10; const int INF = INT_MAX, SINF = 0x3f3f3f3f; const long long llINF = LLONG_MAX; const int MOD = 1e9 + 7, mod = 998244353; const int inv2 = 5e8 + 4; int n, m; char s[25][25]; long long dp[MAXN], st[25][25], a[25][25], sum[25][25]; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%lld", &a[i][j]); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { long long maxn = 0; for (int k = 1; k <= n; k++) { if (s[i][j] != s[k][j]) continue; sum[i][j] += a[k][j]; maxn = max(maxn, a[k][j]); st[i][j] |= (1 << (k - 1)); } sum[i][j] -= maxn; } } memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int sta = 0; sta < (1 << n); sta++) { for (int i = 1; i <= n; i++) if (!((1 << (i - 1)) & sta)) { for (int j = 1; j <= m; j++) { int tmp1 = (1 << (i - 1)), tmp2 = st[i][j]; dp[sta | tmp1] = min(dp[sta | tmp1], dp[sta] + a[i][j]); dp[sta | tmp2] = min(dp[sta | tmp2], dp[sta] + sum[i][j]); } } } printf("%lld", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; struct fastIO { inline fastIO operator>>(int& num) { num = 0; char c = getchar(); while (c != '-' && (c < '0' || c > '9')) c = getchar(); bool foo = 0; if (c == '-') { foo = 1; c = getchar(); } while (c >= '0' && c <= '9') { num = (num << 3) + (num << 1) + c - '0'; c = getchar(); } if (foo) num = -num; return *this; } inline fastIO operator>>(long long& num) { num = 0; char c = getchar(); while (c != '-' && (c < '0' || c > '9')) c = getchar(); bool foo = 0; if (c == '-') { foo = 1; c = getchar(); } while (c >= '0' && c <= '9') { num = (num << 3) + (num << 1) + c - '0'; c = getchar(); } if (foo) num = -num; return *this; } inline fastIO operator>>(float& num) { scanf("%f", &num); return *this; } inline fastIO operator>>(double& num) { scanf("%lf", &num); return *this; } inline fastIO operator>>(long double& num) { scanf("%Lf", &num); return *this; } inline fastIO operator>>(char& num) { num = getchar(); while (num == ' ' || num == '\n') num = getchar(); return *this; } inline fastIO operator>>(char* num) { int cnt = 0; char c = getchar(); while (c == ' ' || c == '\n') c = getchar(); while (c != ' ' && c != '\n') { num[cnt++] = c; c = getchar(); } num[cnt] = 0; return *this; } inline fastIO operator>>(string& num) { cin >> num; return *this; } inline void printInt(const int& num) { if (num < 10) { putchar(num + '0'); return; } printInt(num / 10); putchar((num % 10) + '0'); } inline void printINT(const long long& num) { if (num < 10) { putchar(num + '0'); return; } printINT(num / 10); putchar((num % 10) + '0'); } inline fastIO operator<<(const int& num) { if (num < 0) putchar('-'), printInt(-num); else printInt(num); return *this; } inline fastIO operator<<(const long long& num) { if (num < 0) putchar('-'), printINT(-num); else printINT(num); return *this; } inline fastIO operator<<(const float& num) { printf("%.10f", num); return *this; } inline fastIO operator<<(const double& num) { printf("%.16lf", num); return *this; } inline fastIO operator<<(const long double& num) { printf("%.20Lf", num); return *this; } inline fastIO operator<<(const char& num) { putchar(num); return *this; } inline fastIO operator<<(const char* num) { for (int i = 0; num[i]; i++) putchar(num[i]); return *this; } inline fastIO operator<<(const string& num) { cout << num; return *this; } } fio; int chs[(1 << (21))]; vector<int> hv; int n, m; char s[25][25]; int a[25][25]; int dp[(1 << (21))]; int main() { fio >> n >> m; for (int i = 0; i < n; i++) { fio >> s[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { fio >> a[i][j]; } } memset((void*)chs, 0x3f, sizeof(chs)); for (int i = 0; i < n; i++) { hv.push_back((1 << (i))); for (int j = 0; j < m; j++) { chs[(1 << (i))] = min(chs[(1 << (i))], a[i][j]); } } for (int i = 0; i < m; i++) { for (int j = 0; j < 26; j++) { int num = 0, maxx = 0, sum = 0; for (int k = 0; k < n; k++) { if (s[k][i] == j + 'a') { num |= (1 << (k)); maxx = max(maxx, a[k][i]); sum += a[k][i]; } } if (!num) { continue; } if (chs[num] == ((int)0x3f3f3f3f)) { hv.push_back(num); } chs[num] = min(chs[num], sum - maxx); } } memset((void*)dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int i = 0; i < (1 << (n)) - 1; i++) { for (int j = 0; j < ((int)(hv).size()); j++) { dp[i | hv[j]] = min(dp[i | hv[j]], dp[i] + chs[hv[j]]); } } fio << dp[(1 << (n)) - 1] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int pct(int x) { return __builtin_popcount(x); } int pct(long long x) { return __builtin_popcountll(x); } int bt(int x) { return 31 - __builtin_clz(x); } int bt(long long x) { return 63 - __builtin_clzll(x); } int cdiv(int a, int b) { return a / b + !(a < 0 || a % b == 0); } long long cdiv(long long a, long long b) { return a / b + !(a < 0 || a % b == 0); } int nxt_C(int x) { int c = x & -x, r = x + c; return (((r ^ x) >> 2) / c) | r; } long long nxt_C(long long x) { long long c = x & -x, r = x + c; return (((r ^ x) >> 2) / c) | r; } vector<int> get_bits(int mask) { vector<int> bb; while (mask) { int b = bt(mask); bb.push_back(b); mask ^= (1 << b); } reverse(bb.begin(), bb.end()); return bb; } int get_mask(vector<int> v) { int mask = 0; for (int x : v) { mask ^= (1 << x); } return mask; } template <typename T> void uniq(vector<T> &v) { sort(v.begin(), v.end()); v.resize(unique(v.begin(), v.end()) - v.begin()); } template <typename T> void leftShift(vector<T> &v, long long k) { k %= (int)v.size(); if (k < 0) k += (int)v.size(); rotate(v.begin(), v.begin() + k, v.end()); } template <typename T> void rightShift(vector<T> &v, long long k) { leftShift(v, (int)v.size() - k); } mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); long long rand(long long l, long long r) { uniform_int_distribution<long long> uid(l, r); return uid(rng); } void sc() {} template <typename Head, typename... Tail> void sc(Head &H, Tail &...T) { cin >> H; sc(T...); } string to_string(__int128 x) { string s = ""; bool neg = 0; if (x < 0) { s += "-"; neg = 1; x = -x; } if (!x) s += '0'; while (x) { int rem = x % 10; s += to_string(rem); x /= 10; } reverse(s.begin() + neg, s.end()); return s; } const int mod = 1e9 + 7; int pwr(int a, int b) { int ans = 1; while (b) { if (b & 1) ans = (ans * 1LL * a) % mod; a = (a * 1LL * a) % mod; b >>= 1; } return ans; } const int N = 21; int dp[2][1 << N]; char a[N][N]; int c[N][N]; int cost[N][N]; int maxi[N][N]; int gmask[N][N]; int lg2[1 << N]; void solve() { int n, m; sc(n, m); for (int i = 0; i <= n - 1; i++) { for (int j = 0; j <= m - 1; j++) { sc(a[i][j]); } } for (int i = 0; i <= n - 1; i++) { for (int j = 0; j <= m - 1; j++) { sc(c[i][j]); maxi[j][a[i][j] - 'a'] = max(maxi[j][a[i][j] - 'a'], c[i][j]); gmask[j][a[i][j] - 'a'] ^= (1 << i); cost[j][a[i][j] - 'a'] += c[i][j]; } } int tot = (1 << n) - 1; for (int mask = 0; mask <= tot; mask++) { lg2[mask] = bt(mask); dp[0][mask] = 1e9; } char ch; int b, cmask, val; dp[0][0] = 0; for (int i = 0; i <= m - 1; i++) { int i1 = i & 1, i2 = i1 ^ 1; for (int j = 0; j <= tot; j++) dp[i2][j] = 1e9; for (int mask = 0; mask <= tot; mask++) { cmask = tot ^ mask; val = dp[i1][mask]; if (val == 1e9) continue; dp[i2][mask] = min(dp[i2][mask], val); while (cmask) { b = lg2[cmask]; cmask ^= (1 << b); dp[i1][mask | (1 << b)] = min(dp[i1][mask | (1 << b)], val + c[b][i]); ch = a[b][i]; dp[i1][mask | gmask[i][ch - 'a']] = min(dp[i1][mask | gmask[i][ch - 'a']], val + cost[i][ch - 'a'] - maxi[i][ch - 'a']); } } } cout << dp[(m - 1) & 1][tot] << '\n'; } signed main() { ios ::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t = 1; for (int tt = 1; tt <= t; tt++) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1E9 + 9; char str[100][100]; int f[100][100], dp[1 << 21], sum[100][100], statu[100][100]; int main() { int n, m, i, j, k; scanf("%d%d", &n, &m); for (i = 0; i < n; i++) scanf("%s", str[i]); for (i = 0; i < n; i++) for (j = 0; j < m; j++) scanf("%d", &f[i][j]); for (i = 0; i < n; i++) { for (j = 0; j < m; j++) { int maxv = 0; for (k = 0; k < n; k++) if (str[i][j] == str[k][j]) { sum[i][j] += f[k][j]; maxv = max(maxv, f[k][j]); statu[i][j] |= (1 << k); } sum[i][j] -= maxv; } } fill(dp, dp + (1 << 21), INF); dp[0] = 0; for (i = 0; i < (1 << n) - 1; i++) { for (j = 0; j < n && (i & (1 << j)); j++) ; int a = (1 << j); for (k = 0; k < m; k++) { int b = statu[j][k]; dp[i | a] = min(dp[i | a], dp[i] + f[j][k]); dp[i | b] = min(dp[i | b], dp[i] + sum[j][k]); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 22; int n, m, a[N][N], b[N][N], qwq[N][N], f[1 << N]; char s[N][1000010]; void chkmx(int &x, int y) { (x < y) ? x = y : x = x; } void chkmn(int &x, int y) { (x > y) ? x = y : x = x; } int main() { scanf("%d", &n); ; scanf("%d", &m); ; for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); ; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { int sum = 0, val = -1; for (int k = 1; k <= n; k++) { if (s[i][j] == s[k][j]) sum += a[k][j], chkmx(val, a[i][j]), qwq[i][j] |= (1 << (k - 1)); } b[i][j] = sum - val; } memset(f, 0x3f, sizeof(f)); f[0] = 0; for (int i = 0; i <= (1 << n) - 1; i++) for (int j = 1; j <= n; j++) if (!(i & (1 << (j - 1)))) for (int k = 1; k <= m; k++) { chkmn(f[i | (1 << (j - 1))], f[i] + a[j][k]), chkmn(f[i | qwq[j][k]], f[i] + b[j][k]); } printf("%d\n", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[1 << 25]; int n, m; int a[30][30]; int qi[30][30]; int st[30][30]; char c[30][30]; int lowbit(int x) { return (x & (-x)); } int main() { scanf("%d", &n); scanf("%d", &m); for (int i = 1; i <= n; i++) scanf("%s", c[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { int it = -2e9, sum = 0; for (int k = 1; k <= n; k++) { if (c[k][j] == c[i][j]) { st[i][j] |= (1 << (k - 1)); sum += a[k][j]; it = max(it, a[k][j]); } } sum -= it; qi[i][j] = sum; } } for (int i = 0; i <= (1 << n) - 1; i++) dp[i] = 2e9; dp[0] = 0; for (int i = 0; i <= (1 << n) - 1; i++) { int k; for (k = 0; k <= n; k++) if (!((1 << k) & i)) { break; } for (int j = 1; j <= m; j++) { dp[i | (1 << k)] = min(dp[i | (1 << k)], dp[i] + a[k + 1][j]); dp[i | st[k + 1][j]] = min(dp[i] + qi[k + 1][j], dp[i | st[k + 1][j]]); } } cout << dp[(1 << n) - 1] << endl; }