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#include <bits/stdc++.h> using namespace std; template <typename T> void minimize(T &a, T b) { a = min(a, b); } template <typename T> void maximize(T &a, T b) { a = max(a, b); } const long long INF = 0x3f3f3f3f3f3f3f3f; const int N = 22; int n, m; long long c[N][N], sum[N][30]; long long dp[1 << N - 2], pos[1 << N - 2]; long long cost[N][30], mask[N][30], mx[N][30]; string str[N]; int main() { ios::sync_with_stdio(0); cin >> n >> m; for (int i = 1; i <= n; ++i) { cin >> str[i]; str[i] = ' ' + str[i]; } for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) cin >> c[i][j]; for (int j = 1; j <= m; ++j) { for (int i = 1; i <= n; ++i) { cost[j][str[i][j] - 'a'] += c[i][j]; mask[j][str[i][j] - 'a'] ^= (1 << i - 1); maximize(mx[j][str[i][j] - 'a'], c[i][j]); } for (int i = 'a'; i <= 'z'; ++i) cost[j][i - 'a'] -= mx[j][i - 'a']; } for (int msk = 0; msk < (1 << n); ++msk) for (int j = 0; j < n; ++j) if (!(msk >> j & 1)) { pos[msk] = j; break; } memset(dp, 0x3f, sizeof dp); dp[0] = 0; for (int msk = 0; msk < (1 << n); ++msk) if (dp[msk] != INF) { int idx = pos[msk]; for (int j = 1; j <= m; ++j) { minimize(dp[msk | (1 << idx)], dp[msk] + c[idx + 1][j]); minimize(dp[msk | mask[j][str[idx + 1][j] - 'a']], dp[msk] + cost[j][str[idx + 1][j] - 'a']); } } cout << dp[(1 << n) - 1]; }
#include <bits/stdc++.h> using namespace std; char str[110][110]; int num[110][110], sta[110][110], sum[110][110], f[2000010], n, m; int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", str[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &num[i][j]); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { int mx = 0; for (int k = 1; k <= n; k++) if (str[i][j] == str[k][j]) sta[i][j] |= 1 << (k - 1), mx = max(mx, num[k][j]), sum[i][j] += num[k][j]; sum[i][j] -= mx; } for (int i = 1; i < (1 << n); i++) f[i] = 1000000000; for (int i = 0; i < (1 << n); i++) for (int j = 1; j <= n; j++) if (!((i >> (j - 1)) & 1)) for (int k = 1; k <= m; k++) { f[i | (1 << (j - 1))] = min(f[i | (1 << (j - 1))], f[i] + num[j][k]); f[i | sta[j][k]] = min(f[i | sta[j][k]], f[i] + sum[j][k]); } printf("%d\n", f[(1 << n) - 1]); }
#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]); } } } } } 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> const int oo = 1e9; int n, m, cost[22][22], cb[22][22], cc[22][22], d[1 << 20], lb; char String[22][22]; int main(void) { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { scanf("%s", String[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 k = 0; k < m; k++) { int Max = 0; for (int j = 0; j < n; j++) { if (String[i][k] == String[j][k]) { cb[i][k] |= (1 << j); cc[i][k] += cost[j][k]; if (cost[j][k] > Max) Max = cost[j][k]; } } cc[i][k] -= Max; } } for (int i = 0; i < (1 << n); i++) d[i] = oo; d[0] = 0; for (int i = 1; i < (1 << n); i++) { for (int j = 0; j < n; j++) if ((i >> j) & 1) { lb = j; break; } for (int j = 0; j < m; j++) d[i] = ((((d[i]) > (d[i & (i ^ cb[lb][j])] + cc[lb][j]) ? (d[i & (i ^ cb[lb][j])] + cc[lb][j]) : (d[i]))) > (d[i ^ (1 << lb)] + cost[lb][j]) ? (d[i ^ (1 << lb)] + cost[lb][j]) : (((d[i]) > (d[i & (i ^ cb[lb][j])] + cc[lb][j]) ? (d[i & (i ^ cb[lb][j])] + cc[lb][j]) : (d[i])))); } printf("%d", d[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; int n, m, dp[1501001], c[111][111], st[111][111], f[111][111]; char s[111][111]; 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", &c[i][j]); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { int mx = 0; for (int k = 1; k <= n; k++) { if (s[i][j] != s[k][j]) continue; mx = max(mx, c[k][j]); st[i][j] |= 1 << (k - 1); f[i][j] += c[k][j]; } f[i][j] -= mx; } } memset(dp, 0x7f, sizeof(dp)); int up = (1 << n) - 1; dp[0] = 0; for (int i = 0; i <= up; i++) { for (int j = 1; j <= n; j++) { if ((i >> (j - 1)) & 1) continue; int x = 1 << (j - 1); for (int k = 1; k <= m; k++) { int b = st[j][k]; dp[i | x] = min(dp[i | x], dp[i] + c[j][k]); dp[i | b] = min(dp[i | b], dp[i] + f[j][k]); } } } printf("%d", dp[up]); }
#include <bits/stdc++.h> using namespace std; int n, m, i, j, k, q; int f[1100000], a[22][22], t[22][22], w[22][22]; char s[22][22]; int main() { scanf("%d %d", &n, &m); for (i = 1; i <= n; ++i) scanf("\n%s", s[i]); for (i = 1; i <= n; ++i) for (j = 1; j <= m; ++j) scanf("%d", &a[i][j]); for (i = 1; i <= n; ++i) for (j = 1; j <= m; ++j) { q = 0; for (k = 1; k <= n; ++k) if (s[k][j - 1] == s[i][j - 1]) { t[i][j] += (1 << (k - 1)); w[i][j] += a[k][j]; q = max(q, a[k][j]); } w[i][j] -= q; } for (k = 1; k < (1 << n); ++k) f[k] = 1e9; for (k = 0; k + 1 < (1 << n); ++k) { for (j = 1; j <= n; ++j) if (((k >> (j - 1)) & 1) == 0) { i = j; break; } for (j = 1; j <= m; ++j) { f[(k | (1 << (i - 1)))] = min(f[(k | (1 << (i - 1)))], f[k] + a[i][j]); f[(k | t[i][j])] = min(f[(k | t[i][j])], f[k] + w[i][j]); } } printf("%d", f[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; char s[25][25]; int dp[(1 << 20) + 5], a[25][25], same[25][25]; 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", &a[i][j]); for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) { int S = 0; for (int k = (0); k < (n); ++k) if (s[k][j] == s[i][j]) S |= (1 << k); same[i][j] = S; } for (int mask = (1 << n) - 2; mask >= 0; mask--) { int k = 0; for (int i = (0); i < (n); ++i) if (!(mask & (1 << i))) { k = i; break; } dp[mask] = 1000000000; for (int i = (0); i < (m); ++i) { int S = same[k][i]; int maxi = -1000000000, sum = 0; for (int j = (0); j < (n); ++j) if (S & (1 << j)) sum += a[j][i], maxi = max(maxi, a[j][i]); dp[mask] = min(dp[mask], sum - maxi + dp[mask | S]); dp[mask] = min(dp[mask], a[k][i] + dp[mask | (1 << k)]); } } printf("%d\n", dp[0]); return 0; }
#include <bits/stdc++.h> using namespace std; char str[25][25]; int a[25][25], cost[25][25]; int dp[1 << 21], mark[25][25]; int main() { int i, j, k, n, m; scanf("%d%d", &n, &m); for (i = 0; i <= n - 1; i++) { scanf("%s", str[i]); } for (i = 0; i <= n - 1; i++) { for (j = 0; j <= m - 1; j++) { scanf("%d", &a[i][j]); } } memset(mark, 0, sizeof(mark)); for (i = 0; i <= n - 1; i++) { for (k = 0; k <= m - 1; k++) { int maxn = 0; for (j = 0; j <= n - 1; j++) { if (str[i][k] == str[j][k]) { mark[i][k] |= (1 << j); cost[i][k] += a[j][k]; maxn = max(maxn, a[j][k]); } } cost[i][k] -= maxn; } } int s = (1 << n); for (i = 0; i <= s; i++) { dp[i] = 0x3f3f3f3f; } int first; dp[0] = 0; for (k = 0; k <= s - 1; k++) { for (first = 0; k & (1 << first); first++) ; for (i = 0; i <= m - 1; i++) { dp[k | (1 << first)] = min(dp[k | (1 << first)], dp[k] + a[first][i]); dp[k | mark[first][i]] = min(dp[k | mark[first][i]], dp[k] + cost[first][i]); } } printf("%d ", dp[s - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5e5, maxl = 30, maxm = 1 << 21, oo = 1e9; char s[maxl][maxl]; int f[maxm]; int a[maxl][maxl]; int w[maxl][maxl]; int num[maxl][maxl]; int d[maxl]; int n, m, i, j, k, M, u; int main() { scanf("%d%d", &n, &m); d[0] = 1; for (i = 1; i <= 25; i++) d[i] = d[i - 1] << 1; 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", &a[i][j]); for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { int &sum = w[i][j], &N = num[i][j], Max = 0; N |= d[i - 1]; for (k = 1; k <= n; k++) if (s[i][j] == s[k][j]) { Max = max(Max, a[k][j]); sum += a[k][j]; N |= d[k - 1]; } sum -= Max; } M = 1 << n; for (i = 1; i < M; i++) f[i] = oo; for (u = 0; u < M; u++) { int l = 0; for (i = 1; i <= n; i++) if (!(d[i - 1] & u)) { l = i; break; } for (i = 1; i <= m; i++) f[u + d[l - 1]] = min(f[u + d[l - 1]], f[u] + a[l][i]); for (i = 1; i <= m; i++) { int nex = u | num[l][i]; f[nex] = min(f[nex], f[u] + w[l][i]); } } printf("%d", f[M - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 60; const int INF = 1e9; int n, m; int cost[N][N]; pair<int, int> bitr[N][N]; int d[1 << 20]; vector<string> s; map<int, int> pows; int lazy(int mask) { if (d[mask] == -1) { d[mask] = INF; int last = pows[mask - (mask & (mask - 1))]; for (int c = 0; c < m; c++) { d[mask] = min(lazy(mask & ~(1 << last)) + cost[last][c], d[mask]); d[mask] = min(bitr[last][c].second + lazy(mask & ~bitr[last][c].first), d[mask]); } } return d[mask]; } int main() { cin >> n >> m; s.resize(n); 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]; } } for (int i = 0; i < n; i++) { for (int c = 0; c < m; c++) { int M = 0; for (int k = 0; k < n; k++) { if (s[i][c] == s[k][c]) { bitr[i][c].first += 1 << k; bitr[i][c].second += cost[k][c]; M = max(M, cost[k][c]); } } bitr[i][c].second -= M; } } memset(d, 255, sizeof d); pows[1] = 0; d[0] = 0; int val = 1; for (int i = 0; i < 19; i++) { val *= 2; pows[val] = i + 1; } cout << lazy((1 << n) - 1); }
#include <bits/stdc++.h> using namespace std; int Num; char CH[20]; const int inf = 1 << 29; inline long long 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; } inline void P(int x) { Num = 0; if (!x) { putchar('0'); puts(""); return; } while (x > 0) CH[++Num] = x % 10, x /= 10; while (Num) putchar(CH[Num--] + 48); puts(""); } int a[40][40]; string s[40]; int d[1 << 20]; int p[40]; int main() { int n = read(), m = read(); 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 j = 0; j < 1 << n; j++) d[j] = inf; d[0] = 0; for (int i = 0; i < m; i++) { for (int j = 0; j < 26; j++) p[j] = 0; for (int j = 0; j < n; j++) p[s[j][i] - 'a'] |= 1 << j; for (int j = 0; j < 26; j++) { int t = 0, mx = 0; for (int k = 0; k < n; k++) { if (p[j] >> k & 1) { for (int l = 0; l < 1 << n; l++) d[l | (1 << k)] = min(d[l | (1 << k)], d[l] + a[k][i]); t += a[k][i]; mx = max(mx, a[k][i]); } } for (int l = 0; l < 1 << n; l++) d[l | p[j]] = min(d[l | p[j]], d[l] + t - mx); } } cout << d[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using lli = long long; using ld = long double; mt19937 rnd(time(nullptr)); const lli inf = 1e18; lli Bit(lli mask, lli i) { return (mask >> i) & 1; } inline void Solve() { lli n = 0, m = 0; cin >> n >> m; vector<string> data(n); for (auto &it : data) cin >> it; vector<vector<lli>> cost(n, vector<lli>(m)); for (lli i = 0; i < n; i++) { for (lli j = 0; j < m; j++) cin >> cost[i][j]; } vector<vector<pair<lli, lli>>> buffer(n, vector<pair<lli, lli>>(m)); for (lli i = 0; i < n; i++) { for (lli j = 0; j < m; j++) { lli mx = 0; for (lli k = 0; k < n; k++) { if (data[i][j] == data[k][j]) { buffer[i][j].first |= (1 << k); buffer[i][j].second += cost[k][j]; mx = max(mx, cost[k][j]); } } buffer[i][j].second -= mx; } } vector<lli> dp((1 << n), inf); dp[0] = 0; for (lli mask = 0; mask < (1 << n); mask++) { if ((dp[mask] == inf) || (mask == (1 << n) - 1)) continue; lli id = -1; for (lli i = n - 1; i >= 0; i--) { if (Bit(mask, i) == 0) { id = i; break; } } for (lli i = 0; i < m; i++) { lli mask1 = buffer[id][i].first, value = buffer[id][i].second; dp[mask | mask1] = min(dp[mask | mask1], dp[mask] + value); dp[mask | (1 << id)] = min(dp[mask | (1 << id)], dp[mask] + cost[id][i]); } } cout << dp.back(); } signed main() { cout << fixed << setprecision(20); Solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f, MAXN = 20 + 10; int dp[1 << 20]; int a[MAXN][MAXN], cost[MAXN][MAXN], to[MAXN][MAXN]; char s[MAXN][MAXN]; int main() { int n, m; while (~scanf("%d %d%*c", &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", &a[i][j]); } memset(to, 0, sizeof(to)); for (int j = 0; j < m; j++) { for (int i = 0; i < n; i++) { int mx = 0, sum = 0; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { to[i][j] |= 1 << k; mx = max(mx, a[k][j]); sum += a[k][j]; } } cost[i][j] = sum - mx; } } memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; int ALL = (1 << n) - 1; for (int s = 0; s < ALL; s++) { if (INF == dp[s]) continue; for (int i = 0; i < n; i++) { if (0 == (s & (1 << i))) { for (int j = 0; j < m; j++) { dp[s | (1 << i)] = min(dp[s | (1 << i)], dp[s] + a[i][j]); dp[s | to[i][j]] = min(dp[s | to[i][j]], dp[s] + cost[i][j]); } break; } } } printf("%d\n", dp[ALL]); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; char s[30][30]; int f[(1 << 20) + 10]; int cost[30][30], tot_cost[30][30]; int change[30][30]; void init() { memset(tot_cost, 0, sizeof(tot_cost)); memset(change, 0, sizeof(change)); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int maxn = -1; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { change[i][j] += (1 << k); tot_cost[i][j] += cost[k][j]; maxn = max(maxn, cost[k][j]); } } tot_cost[i][j] -= maxn; } } int main() { while (scanf("%d %d", &n, &m) != EOF) { getchar(); for (int i = 0; i < n; i++) gets(s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &cost[i][j]); init(); memset(f, 0x1f1f1f, sizeof(f)); f[0] = 0; for (int sta = 0; sta < (1 << n); sta++) { for (int i = 0; i < n; i++) if ((sta & (1 << i)) == 0) { for (int j = 0; j < m; j++) { f[sta | change[i][j]] = min(f[sta | change[i][j]], f[sta] + tot_cost[i][j]); f[sta | (1 << i)] = min(f[sta | (1 << i)], f[sta] + cost[i][j]); } } } printf("%d\n", f[(1 << n) - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; int dp[20000005], v[55][55]; char s[55][55]; int main() { int n, m; 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", &v[i][j]); } } int nn = (1 << n); for (int i = 1; i < nn; i++) { dp[i] = 1e9; } for (int k = 0; k < nn; k++) { for (int i = 0; i < n; i++) { if (((k >> i) & 1) == 0) { for (int j = 1; j <= m; j++) { dp[k + (1 << i)] = min(dp[k + (1 << i)], dp[k] + v[i + 1][j]); int maxx = 0, ans = 0, c = 0; for (int ii = 0; ii < n; ii++) { if (s[ii + 1][j] == s[i + 1][j]) { maxx = max(maxx, v[ii + 1][j]); ans += v[ii + 1][j]; c += (1 << ii); } } dp[k | c] = min(dp[k | c], dp[k] + ans - maxx); } break; } } } printf("%d\n", dp[nn - 1]); 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 = 0; i < int(n); i++) { if ((mask >> i) & 1) { 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; int dp[(1 << 20 | 7)]; int input[25][25]; char c[25][25]; int sum2[25][25]; int sum3[25][25]; int n, m, maxx; int lowbit(int x) { for (int i = 0; i < 32; i++) { if (x & 1) return i; x >>= 1; } return 0; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) for (int r = 0; r < m; r++) cin >> c[i][r]; for (int i = 0; i < n; i++) for (int r = 0; r < m; r++) scanf("%d", &input[i][r]); for (int i = 0; i < m; i++) for (int r = 0; r < n; r++) { int sum = 0, plk = 0; maxx = 0; for (int k = 0; k < n; k++) if (c[r][i] == c[k][i]) { sum += input[k][i]; maxx = max(maxx, input[k][i]); plk += (1 << k); } sum2[r][i] = sum - maxx; sum3[r][i] = plk; } memset(dp, 0X3f, sizeof(dp)); dp[(1 << n) - 1] = 0; for (int plk = (1 << n) - 1; plk > 0; plk--) { int pos = lowbit(plk); int last = (1 << pos); for (int r = 0; r < m; r++) { dp[plk - last] = min(dp[plk - last], dp[plk] + input[pos][r]); dp[plk & (~sum3[pos][r])] = min(dp[plk & (~sum3[pos][r])], dp[plk] + sum2[pos][r]); } } cout << dp[0]; }
#include <bits/stdc++.h> using namespace std; template <class T> string ToString(T t) { stringstream s; s << t; return s.str(); } template <class T> void ToOther(T &t, string a) { stringstream s(a); s >> t; } int n, m; string a[22]; int c1[22][22]; int c2[22][22]; int c2_st[22][22]; int d[22][1 << 20]; void ckmin(int &x, int y) { x = min(x, y); } int main() { cin >> n >> m; 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 >> c1[i][j]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { c2_st[i][j] |= (1 << i); for (int k = 0; k < n; k++) if (i != k && a[i][j] == a[k][j]) { c2[i][j] += c1[k][j]; c2_st[i][j] |= (1 << k); } } } memset(d, 63, sizeof(d)); int M = d[0][0]; int start = 0; for (int k = 0; k < m; k++) { for (int i = 0; i < n; i++) { int cnt = 0; for (int j = 0; j < n; j++) if (a[i][k] == a[j][k]) cnt++; if (cnt == 1) start |= (1 << i); } } d[0][start] = 0; for (int k = 0; k < n; k++) { for (int st = 0; st < (1 << n); st++) { ckmin(d[k + 1][st], d[k][st]); if (!(st >> k & 1)) { if (d[k][st] == M) continue; for (int pos = 0; pos < m; pos++) { ckmin(d[k + 1][st | (1 << k)], c1[k][pos] + d[k][st]); int temp = c2[k][pos] + d[k][st]; ckmin(d[k + 1][st | c2_st[k][pos]], c2[k][pos] + d[k][st]); } } } } int r = d[n][(1 << n) - 1]; if (r == M) r = -1; cout << r << endl; }
#include <bits/stdc++.h> using namespace std; void chmin(int& a, int b) { a = min(a, b); } int main() { int N, M; cin >> N >> M; string S[20]; for (int i = 0; i < N; i++) cin >> S[i]; int A[20][20]; for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) cin >> A[i][j]; vector<int> cost(1 << 20, 1e9); for (int j = 0; j < M; j++) { map<char, vector<pair<int, int>>> mp; for (int i = 0; i < N; i++) mp[S[i][j]].emplace_back(i, A[i][j]); for (auto& pp : mp) { auto& v = pp.second; if (v.size() == 1) { int i = v[0].first; cost[1 << i] = 0; continue; } int sum = 0, mx = 0, bit = 0; for (auto& p : v) { int i = p.first, c = p.second; chmin(cost[1 << i], c); sum += c; mx = max(mx, c); bit |= 1 << i; } chmin(cost[bit], sum - mx); } } vector<pair<int, int>> cand; for (int i = 0; i < (1 << N); i++) if (cost[i] < 1e9) cand.emplace_back(i, cost[i]); static int dp[1 << 20]; for (int i = 1; i < (1 << N); i++) dp[i] = 1e9; for (int i = 0; i < (1 << N); i++) for (auto& p : cand) { chmin(dp[i | p.first], dp[i] + p.second); } cout << dp[(1 << N) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dp[(1 << 20) + 10], n, m; char s[25][25]; int a[25][25]; int cost[25][30], zy[25][30], mxv[25][30]; int q[(1 << 20) + 10], id[(1 << 20) + 10]; inline bool is_only(int j, int x) { int cnt = 0; for (int i = 1; i <= n; i++) cnt += (s[i][j] == x); return cnt == 1; } inline int updv(int &x, int p) { return x |= (1 << (p - 1)); } inline int getv(int x, int p) { return (x & (1 << (p - 1))) >> (p - 1); } inline int display(int x) { for (int i = 1; i <= n; i++) cout << getv(x, i); return 0; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1), s[i][0] = 'a' - 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); int all = (1 << n) - 1, init = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (is_only(j, s[i][j])) { updv(init, i); break; } int top = 0; for (int i = 0; i <= all; i++) if ((init & i) == init) q[++top] = i, id[i] = top; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { int y = (s[i][j] - 'a' + 1); cost[j][y] += a[i][j]; mxv[j][y] = max(mxv[j][y], a[i][j]); updv(zy[j][y], i); } dp[0] = 0; for (int i = 1; i <= all; i++) { int lb = 0; dp[i] = (INT_MAX / 3 - 10); for (int j = n; j; j--) if (getv(i, j)) lb = j; int S = i ^ (1 << (lb - 1)); for (int j = 1; j <= m; j++) { int y = (s[lb][j] - 'a' + 1); dp[i] = min(dp[i], dp[S] + a[lb][j]); int x = S & (all ^ zy[j][y]); dp[i] = min(dp[i], dp[x] + cost[j][y] - mxv[j][y]); } } printf("%d\n", dp[all]); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1024000000,1024000000") using namespace std; int n, m; int dp[1 << 22]; string s[22]; int cost[22][22], mrk[22][22], a[22][22]; int main() { scanf("%d%d", &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) scanf("%d", &a[i][j]); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { int maxn = 0; for (int k = 0; k < n; ++k) { if (s[i][j] == s[k][j]) { mrk[i][j] |= (1 << k); cost[i][j] += a[k][j]; maxn = max(maxn, a[k][j]); } } cost[i][j] -= maxn; } int s = (1 << n); for (int i = 0; i <= s; ++i) dp[i] = 1e9; dp[0] = 0; int first; for (int i = 0; i < s; ++i) { for (first = 0; i & (1 << first); first++) ; for (int j = 0; j < m; ++j) { dp[i | (1 << first)] = min(dp[i | (1 << first)], dp[i] + a[first][j]); dp[i | mrk[first][j]] = min(dp[i | mrk[first][j]], dp[i] + cost[first][j]); } } cout << dp[s - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; const int SIZE = 1e6 + 10; const int INF = 0x3f3f3f3f; int n, m; char s[20][25]; int a[20][20]; int z[1 << 20], sv[20][20], c[20][20]; int main() { if (0) { freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); } while (scanf("%d%d", &(n), &(m)) == 2) { 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 co = 0; int ma = 0; for (int k = 0; k < (n); ++k) { if (s[i][j] == s[k][j]) { sv[i][j] |= (1 << k); co += a[k][j]; ma = max(ma, a[k][j]); } } c[i][j] = co - ma; } for (int i = 0; i < (1 << n); ++i) z[i] = INF; z[0] = 0; for (int mask = (1); mask < ((1 << n)); ++mask) { int lowbit = -1; for (int i = 0; i < (n); ++i) if (mask & (1 << i)) { lowbit = i; break; } for (int i = 0; i < (m); ++i) { z[mask] = min(z[mask], z[mask & ~(sv[lowbit][i])] + c[lowbit][i]); z[mask] = min(z[mask], z[mask & ~(1 << lowbit)] + a[lowbit][i]); } } printf("%d\n", z[(1 << n) - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int mn = 21; int n, m; string s[mn]; int cost[mn][mn]; int co[mn][256]; int nu[mn][256]; int ns[mn][256]; int ma[mn][256]; void init() { for (int p = 0; p < m; p++) { for (int i = 0; i < n; i++) { nu[p][s[i][p]]++; co[p][s[i][p]] += cost[i][p]; ns[p][s[i][p]] = ns[p][s[i][p]] | (1 << i); ma[p][s[i][p]] = max(ma[p][s[i][p]], cost[i][p]); } } } int dp[1 << mn]; int f(int st) { if (st == (1 << n) - 1) return 0; int nst, nco; int res = 1e9; for (int p = 0; p < m; p++) { for (int i = 0; i < n; i++) { if (st & (1 << i)) continue; nst = st | ns[p][s[i][p]]; nco = co[p][s[i][p]] - ma[p][s[i][p]]; res = min(res, dp[nst] + nco); res = min(res, dp[st | (1 << i)] + cost[i][p]); } } return dp[st] = res; } 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 >> cost[i][j]; } } init(); for (int st = (1 << n) - 1; st >= 0; st--) { dp[st] = f(st); } cout << dp[0] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, dp[(1 << 20) + 5], mask[20][20], cost[20][20], a[20][20]; char s[20][21]; int solve() { int MX = 1 << N; for (int i = 1; i < (int)MX; i++) { int x = i & -i, lowbit = -1; while (x) x >>= 1, lowbit++; int mi = 1 << 30; for (int j = 0; j < (int)M; j++) { int d1 = dp[i - (1 << lowbit)] + a[lowbit][j]; int msk = mask[j][lowbit] & i; int d2 = dp[i - msk] + cost[j][lowbit]; mi = min(mi, min(d1, d2)); } dp[i] = mi; } return dp[MX - 1]; } int main() { scanf("%d%d", &N, &M); for (int i = 0; i < (int)N; i++) scanf("%s", s[i]); for (int i = 0; i < (int)N; i++) for (int j = 0; j < (int)M; j++) scanf("%d", &a[i][j]); for (int i = 0; i < (int)M; i++) for (int j = 0; j < (int)N; j++) { int mx = 0; for (int k = 0; k < (int)N; k++) if (s[j][i] == s[k][i]) mask[i][j] |= (1 << k), cost[i][j] += a[k][i], mx = max(mx, a[k][i]); cost[i][j] -= mx; } printf("%d\n", solve()); }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int MaxA = 20 + 7; int n, m; char str[MaxA][MaxA]; int arr[MaxA][MaxA]; int f[1 << 20]; int lowzero(int x) { int res = 0; while (x & 1) { x >>= 1; res++; } return res; } int main() { while (~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", &arr[i][j]); } } memset(f, 0x3f, sizeof(f)); f[0] = 0; int staNum = 1 << n; for (int s = 0; s < staNum; s++) { if (f[s] == INF) continue; int r = lowzero(s); if (r >= n) continue; for (int j = 0; j < m; j++) { f[s | (1 << r)] = min(f[s | (1 << r)], f[s] + arr[r][j]); int bits = 0, sum = 0, mx = 0; for (int i = 0; i < n; i++) if (str[i][j] == str[r][j]) { sum += arr[i][j]; mx = max(mx, arr[i][j]); bits |= 1 << i; } f[s | bits] = min(f[s | bits], f[s] + sum - mx); } } printf("%d\n", f[staNum - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int point, w; } p[30][30]; int n, m; int s[30][30], w[30][30], Min[30], f[3000000]; int Get() { char c = getchar(); while (!isalpha(c)) c = getchar(); return c; } void init(int x, int y) { int t1 = 0, t2 = 0, mx = 0; for (int i = 1; i <= n; i++) if (s[i][y] == s[x][y]) { t1 |= 1 << (i - 1); t2 += w[i][y]; mx = max(mx, w[i][y]); } p[x][y] = (node){t1, t2 - mx}; } int Getlow(int x) { for (int i = 0; i < n; i++) if (!(x & (1 << i))) return i + 1; } int main() { for (int i = 1; i <= 29; i++) Min[i] = 19240012; for (int i = 1; i <= 3000000 - 1; i++) f[i] = 30000000; cin >> n >> m; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) s[i][j] = Get(); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { cin >> w[i][j]; Min[i] = min(Min[i], w[i][j]); } for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) init(i, j); f[0] = 0; for (int i = 0; i < (1 << n); i++) { int p_ = Getlow(i); f[i | (1 << (p_ - 1))] = min(f[i | (1 << (p_ - 1))], f[i] + Min[p_]); for (int j = 1; j <= m; j++) f[i | p[p_][j].point] = min(f[i | p[p_][j].point], f[i] + p[p_][j].w); } cout << f[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int point, w; } p[30][30]; int n, m; int s[30][30], w[30][30], Min[30], f[3000000]; int Get() { char c = getchar(); while (!isalpha(c)) c = getchar(); return c; } void init(int x, int y) { int t1 = 0, t2 = 0, mx = 0; for (int i = 1; i <= n; i++) if (s[i][y] == s[x][y]) { t1 |= 1 << (i - 1); t2 += w[i][y]; mx = max(mx, w[i][y]); } p[x][y] = (node){t1, t2 - mx}; } int Getlow(int x) { int ss[200]; int num = 0; if (x == 0) return 1; while (x) { ss[++num] = x % 2; x /= 2; } ss[++num] = 0; for (int i = 1; i <= num; i++) if (ss[i] == 0) return i; } int main() { for (int i = 1; i <= 29; i++) Min[i] = 19240012; for (int i = 1; i <= 3000000 - 1; i++) f[i] = 30000000; cin >> n >> m; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) s[i][j] = Get(); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { cin >> w[i][j]; Min[i] = min(Min[i], w[i][j]); } for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) init(i, j); f[0] = 0; for (int i = 0; i < (1 << n); i++) { int p_ = Getlow(i); f[i | (1 << (p_ - 1))] = min(f[i | (1 << (p_ - 1))], f[i] + Min[p_]); for (int j = 1; j <= m; j++) f[i | p[p_][j].point] = min(f[i | p[p_][j].point], f[i] + p[p_][j].w); } cout << f[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int A[20 + 5][20 + 5]; bool used[1 << 20]; long long memo[1 << 20]; int lower_bit[1 << 20]; int n, m; int groups[20 + 5][20 + 5]; int ones(int mask) { return __builtin_popcount(mask); } long long SUM[20 + 5][20 + 5], MAXI[20 + 5][20 + 5]; long long dp(int mask) { if (mask == 0) return 0; if (used[mask]) return memo[mask]; used[mask] = 1; long long &dev = memo[mask] = (1LL << 40); int i = lower_bit[mask]; for (int j = 0; j < m; ++j) { dev = min(dev, A[i][j] + dp(mask ^ (1 << i))); int inter = (mask & groups[i][j]); dev = min(dev, SUM[i][j] - MAXI[i][j] + dp(mask ^ inter)); } return dev; } char S[20 + 5][20 + 5]; int main() { for (int i = 0; i < (1 << 20); ++i) lower_bit[i] = 31 - __builtin_clz(i); while (scanf("%d", &n) == 1) { scanf("%d", &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(SUM, 0, sizeof(SUM)); memset(MAXI, 0, sizeof(MAXI)); memset(groups, 0, sizeof(groups)); for (int j = 0; j < m; ++j) { for (int i = 0; i < n; ++i) { for (int k = 0; k < n; ++k) if (S[i][j] == S[k][j]) { SUM[i][j] += A[k][j]; MAXI[i][j] = max(MAXI[i][j], (long long)A[k][j]); groups[i][j] ^= (1 << k); } } } memset(used, 0, sizeof(used)); printf("%d\n", (int)dp((1 << n) - 1)); } }
#include <bits/stdc++.h> using namespace std; char str[22][22]; int dp[(1 << (20)) + 5], sets[22][22]; int a[22][22], b[22][22]; int main() { int n, m; while (scanf("%d%d", &n, &m) != EOF) { 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]); memset(sets, 0, sizeof sets); memset(b, 0, sizeof b); 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 (str[i][k] == str[j][k]) { b[i][k] += a[j][k]; mx = max(mx, a[j][k]); sets[i][k] |= (1 << (j)); } } b[i][k] -= mx; } } memset(dp, 0x3f, sizeof dp); dp[0] = 0; int full = (1 << (n)) - 1; for (int s = 0; s <= full; s++) { int i; for (i = 0; s & (1 << (i)); i++) ; if (i >= n) continue; for (int j = 0; j < m; j++) { dp[s | (1 << (i))] = min(dp[s | (1 << (i))], dp[s] + a[i][j]); dp[s | sets[i][j]] = min(dp[s | sets[i][j]], dp[s] + b[i][j]); } } printf("%d\n", dp[full]); } return 0; }
#include <bits/stdc++.h> using namespace std; int d[2000000 + 10]; int a[100 + 10][100 + 10]; char s[100 + 10][100 + 10]; int cnt[100 + 10][100 + 10]; int price[100 + 10][100 + 10]; int n, m; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { scanf("%s", s[i]); for (int j = 0; j < m; j++) cnt[j][s[i][j] - 'a']++; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); memset(d, 0x3f, sizeof(d)); int st = 0; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (cnt[j][s[i][j] - 'a'] == 1) st |= (1 << i); d[st] = 0; for (int i = 0; i < m; i++) for (int j = 0; j < 26; j++) { if (cnt[i][j] > 1) { int t = 0, Max = 0, sum = 0; for (int k = 0; k < n; k++) if (s[k][i] - 'a' == j) { for (int z = 0; z < (1 << n); z++) d[z | (1 << k)] = min(d[z | (1 << k)], d[z] + a[k][i]); t |= 1 << k; sum += a[k][i]; Max = max(a[k][i], Max); } int price = sum - Max; for (int z = 0; z < (1 << n); z++) d[z | t] = min(d[z | t], d[z] + price); } } printf("%d\n", d[(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; const int maxn = 21; string s[maxn]; int a[maxn][maxn], n, m, t[maxn][maxn], b[maxn][maxn]; int dp[1 << maxn]; int main() { scanf("%d%d", &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) scanf("%d", &a[i][j]); for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { int sum = 0, val = -(1 << 30); for (int k = 0; k < n; ++k) { if (s[k][j] == s[i][j]) { sum += a[k][j]; val = max(val, a[k][j]); t[i][j] |= (1 << k); } } b[i][j] = sum - val; } } memset(dp, 127 / 2, sizeof(dp)); 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 | t[j][k]] = min(dp[i | t[j][k]], dp[i] + b[j][k]); } } } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int A[25][25], N, M, D[1100000], l, n, t, h; string S[25]; int main() { cin >> N >> M; for (int i = 0; i <= N - 1; i++) cin >> S[i]; for (int i = 0; i <= N - 1; i++) for (int j = 0; j <= M - 1; j++) cin >> A[i][j]; for (int i = 1; i <= (1 << N) - 1; i++) D[i] = 50000000; for (int m = 0; m <= (1 << N) - 1; m++) { for (int b = 0; b <= N - 1; b++) if (!(m & (1 << b))) { l = b; break; } for (int c = 0; c <= M - 1; c++) { D[m + (1 << l)] = min(D[m + (1 << l)], D[m] + A[l][c]), n = m, t = 0, h = 0; for (int i = 0; i <= N - 1; i++) if (S[l][c] == S[i][c]) n |= 1 << i, t += A[i][c], h = max(h, A[i][c]); D[n] = min(D[n], D[m] + t - h); } } cout << D[(1 << N) - 1]; }
#include <bits/stdc++.h> using namespace std; const int maxn = 20, maxm = 20, INF = 0x7f7f7f7f; int n, m; char s[maxn][maxm + 1]; int a[maxn][maxm]; int Min[maxn], state[maxn][maxm], cost[maxn][maxm]; int f[1 << 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]); memset(Min, 0x7f, sizeof(Min)); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { if (a[i][j] < Min[i]) Min[i] = a[i][j]; int sum = 0, Max = 0, t = 0; for (int k = 0; k < n; ++k) if (s[i][j] == s[k][j]) { t |= 1 << k; sum += a[k][j]; if (a[k][j] > Max) Max = a[k][j]; } state[i][j] = t; cost[i][j] = sum - Max; } memset(f, 0x7f, sizeof(f)); f[0] = 0; for (int i = 0, p = (1 << n) - 1; i < p; ++i) if (f[i] < INF) { int j; for (j = 0; j < n; ++j) if (!(i & (1 << j))) break; f[i | (1 << j)] = min(f[i | (1 << j)], f[i] + Min[j]); for (int k = 0; k < m; ++k) f[i | state[j][k]] = min(f[i | state[j][k]], f[i] + cost[j][k]); } printf("%d\n", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 2000000005; const int maxt = (1 << 20) + 5; int all[maxt], dp[2][maxt]; int best[30], a[30][30]; int mask[30][30], cost[30][30]; char str[30][30]; int n, m; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) scanf("%s", str[i]), best[i] = inf; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]), best[i] = min(best[i], a[i][j]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { bool ok = true; for (int k = 0; k < n; k++) if (k != i && str[i][j] == str[k][j]) ok = false; if (ok) best[i] = 0; } } for (int j = 0; j < m; j++) { for (int c = 0; c < 26; c++) { mask[j][c] = 0; cost[j][c] = 0; int maxc = 0, cnt = 0; for (int i = 0; i < n; i++) if (str[i][j] - 'a' == c) { mask[j][c] |= 1 << i; cost[j][c] += a[i][j]; maxc = max(maxc, a[i][j]); cnt++; } cost[j][c] -= maxc; if (cnt < 2) mask[j][c] = -1; } } for (int i = 0; i < 1 << n; i++) dp[0][i] = dp[1][i] = inf; int nw = 0, ls = 1; dp[nw][0] = 0; for (int j = 0; j < m; j++) for (int c = 0; c < 26; c++) if (mask[j][c] != -1) { swap(nw, ls); memcpy(dp[nw], dp[ls], sizeof dp[ls]); for (int i = 0; i < 1 << n; i++) { dp[nw][i | mask[j][c]] = min(dp[nw][i | mask[j][c]], dp[ls][i] + cost[j][c]); } } for (int i = 0; i < 1 << n; i++) { all[i] = 0; for (int j = 0; j < n; j++) if ((i >> j) & 1) ; else all[i] += best[j]; } int ans = inf; for (int i = 0; i < 1 << n; i++) ans = min(ans, all[i] + dp[nw][i]); printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int m, n; int a[3010][3010]; int dp[(1 << 22)]; string s[100]; int ft[30], sb[30]; int main() { 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]; } memset(dp, -1, sizeof(dp)); dp[0] = 0; for (int i = 0; i < (1 << n); ++i) { if (dp[i] == -1) continue; int now = 0; for (now = 0; now < n; ++now) { if (((1 << now) & i) == 0) { break; } } if (now == n) continue; for (int j = 0; j < m; ++j) { int x = 1 << now; if (dp[i | x] == -1 || dp[i | x] > dp[i] + a[now][j]) { dp[i | x] = dp[i] + a[now][j]; } x = 0; int max_sum = 0; int sum = 0; for (int k = 0; k < n; ++k) { if (s[k][j] == s[now][j]) { x |= (1 << k); sum += a[k][j]; max_sum = max(max_sum, a[k][j]); } } if (dp[i | x] == -1 || dp[i | x] > dp[i] + sum - max_sum) { dp[i | x] = dp[i] + sum - max_sum; } } } cout << dp[(1 << n) - 1] << endl; } }
#include <bits/stdc++.h> using namespace std; int dp[1 << 22]; int cost[22][22], same[22][22], mcost[22][22]; char c[22][22]; int n, m; int main() { cin >> n >> m; getchar(); for (int i = 0; i < n; i++) cin >> c[i]; 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 maxc = -1, all = 0; for (int k = 0; k < n; k++) { if (c[i][j] == c[k][j]) { same[i][j] += (1 << k); maxc = max(maxc, cost[k][j]); all += cost[k][j]; } } mcost[i][j] = all - maxc; } } memset(dp, 0x3f3f, sizeof(dp)); dp[0] = 0; for (int i = 1; i < (1 << n); i++) { for (int j = 0; j <= n; j++) if ((1 << j) & i) { for (int k = 0; k < m; k++) { dp[i] = min(dp[i], dp[i & (i ^ same[j][k])] + mcost[j][k]); dp[i] = min(dp[i], dp[i ^ (1 << j)] + cost[j][k]); } } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int read_int() { char c = getchar(); while ((c < '0' || c > '9') && c != '-') { c = getchar(); } bool sign = 0; if (c == '-') { sign = 1; c = getchar(); } int ret = 0; while (c >= '0' && c <= '9') { ret = 10 * ret + c - 48; c = getchar(); } if (sign) return -ret; return ret; } int read_string(char *s) { int n = 0; char c = getchar(); while (c < 'a' || c > 'z') c = getchar(); while (c >= 'a' && c <= 'z') { s[n] = c - 'a'; n++; c = getchar(); } return n; } int a[25][25]; int b[25][25]; int n, m; int dp[1 << 20]; int go(int s) { int &ret = dp[s]; if (ret < 0) { ret = s ? 1e9 : 0; if (s) { for (int i = 0; i < n; i++) { if ((s >> i) & 1) { for (int j = 0; j < m; j++) { ret = min(ret, b[i][j] + go(s ^ (1 << i))); } break; } } for (int i = 0; i < n; i++) { if ((s >> i) & 1) { for (int j = 0; j < m; j++) { int p2 = 0, p3 = -1, y = s; for (int k = 0; k < n; k++) { if (a[k][j] == a[i][j]) { p2 += b[k][j]; p3 = max(p3, b[k][j]); y = y & (~(1 << k)); } } ret = min(ret, p2 - p3 + go(y)); } break; } } } } return ret; } bool process() { cin >> n >> m; for (int i = 0; i < n; i++) { string s; cin >> s; for (int j = 0; j < m; j++) { a[i][j] = s[j] - 'a'; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> b[i][j]; } } memset(dp, -1, sizeof(dp)); cout << go((1 << n) - 1) << endl; return 1; } int main() { srand(time(NULL)); ios_base::sync_with_stdio(0); int t = 1; while (t-- > 0) { if (!process()) break; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; char s[25][25]; int a[25][25], d[1 << 20], ma[25][25], c[25][25]; const int INF = 1e9; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < (int)(n); ++i) scanf("%s", s[i]); for (int i = 0; i < (int)(n); ++i) for (int j = 0; j < (int)(m); ++j) scanf("%d", a[i] + j); for (int i = 0; i < (int)(n); ++i) for (int j = 0; j < (int)(m); ++j) { int &mask = ma[i][j], &cost = c[i][j], mx = 0; for (int k = 0; k < (int)(n); ++k) if (s[k][j] == s[i][j]) { cost += a[k][j]; mask |= 1 << k; mx = max(mx, a[k][j]); } cost -= mx; } for (int i = 0; i < (int)(1 << n); ++i) d[i] = INF; d[0] = 0; for (int mask = 0; mask < (int)((1 << n) - 1); ++mask) { int i = 0; while (mask & (1 << i)) ++i; for (int j = 0; j < (int)(m); ++j) { d[mask | ma[i][j]] = min(d[mask | ma[i][j]], d[mask] + c[i][j]); d[mask | (1 << i)] = min(d[mask | (1 << i)], d[mask] + a[i][j]); } } printf("%d\n", d[(1 << n) - 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 ((i & (1 << j)) == 0) { 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; int a[20][20], cst[20][20], dp[1 << 20], msks[20][20]; char c[20][20]; int main() { int n, m; cin >> n >> m; 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++) 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 (c[k][j] == c[i][j]) { cst[i][j] += a[k][j]; mx = max(mx, a[k][j]); } } cst[i][j] -= mx; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < n; k++) { if (c[i][j] == c[k][j]) msks[i][j] |= (1 << k); } } } for (int mask = 1; mask < (1 << n); mask++) { int lowst_bit = 0; for (int i = 0; i < n; i++) { if (mask & (1 << i)) { lowst_bit = i; break; } } dp[mask] = 100000000; for (int j = 0; j < m; j++) { dp[mask] = min(dp[mask], min(dp[mask ^ (mask & msks[lowst_bit][j])] + cst[lowst_bit][j], dp[mask ^ (1 << lowst_bit)] + a[lowst_bit][j])); } } cout << dp[(1 << n) - 1] << endl; cin >> n; 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, mx = 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]; mx = max(mx, cost[j][i]); } } f[i][k] = min(f[i][k], sum - mx); } } } 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; const int N = 21; int n, m, a[N][N], dp[1 << N], se[N][N], co[N][N]; char s[N + 2][N + 2]; bool vis[26]; void upd(int &u, const int &v) { u == -1 ? u = v : u = min(u, v); } 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++) { for (int k = 1; k <= n; k++) if (s[i][j] == s[k][j]) { se[i][j] ^= 1 << (k - 1); if (i == k) continue; co[i][j] += a[k][j]; } } } fill(dp + 1, dp + (1 << n), -1); dp[0] = 0; for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < n; j++) if (!(i >> j & 1)) { for (int k = 1; k <= m; k++) { upd(dp[i | (1 << j)], dp[i] + a[j + 1][k]); upd(dp[i | se[j + 1][k]], dp[i] + co[j + 1][k]); } } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int gint() { char c; int f = 1; while (c = getchar(), c < 48 || c > 57) if (c == '-') f = -1; int x = 0; for (; c > 47 && c < 58; c = getchar()) { x = x * 10 + c - 48; } return x * f; } int n, m, maxs, a[20][20], f[(1 << 20)], bin[(1 << 20)]; char s[20][20]; int main() { n = gint(), m = gint(); 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) a[i][j] = gint(); maxs = 1 << n; for (int i = 1; i < maxs; ++i) f[i] = 0x3f3f3f3f; for (int i = 0; i < maxs; ++i) for (int j = 0; j < 30; ++j) if (!((i >> j) & 1)) { bin[i] = j; break; } for (int S = 0; S < maxs - 1; ++S) { int i = bin[S]; for (int j = 0; j < m; ++j) { f[S ^ (1 << i)] = min(f[S ^ (1 << i)], f[S] + a[i][j]); int sum = 0, maxa = 0, ns = 0; for (int k = 0; k < n; ++k) { if (s[i][j] != s[k][j]) continue; sum += a[k][j], maxa = max(maxa, a[k][j]); ns ^= (1 << k); } f[S | ns] = min(f[S | ns], f[S] + sum - maxa); } } return printf("%d\n", f[maxs - 1]), 0; }
#include <bits/stdc++.h> using namespace std; int dp[1100005], cost[25][25]; char s[25][25]; void Min(int &a, int b) { if (a > b) a = b; } int n, m; int find(int S) { for (int i = 0; i < n; i++) if (!(S & (1 << i))) return i; return n - 1; } 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 S = 1; S < 1 << n; S++) dp[S] = 2000000000; for (int S = 0; S + 1 < 1 << n; S++) { int had = find(S); for (int c = 0; c < m; c++) { Min(dp[S | (1 << had)], dp[S] + cost[had][c]); int sum = 0, mx = 0, nw = 0; for (int r = 0; r < n; r++) if (s[had][c] == s[r][c]) { sum += cost[r][c]; mx = max(mx, cost[r][c]); nw |= 1 << r; } Min(dp[S | nw], dp[S] + sum - mx); } } printf("%d", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; typedef vector<int> vi; typedef pair<int, int> ii; int n, n2, m, dp[(1 << 21) + 5], a[21][21], cnt[26], sum[26], mx[26], b[21][21], c[21][21]; char s[21][21]; int main() { scanf("%d%d", &n, &m); n2 = 1 << n; 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 j = 0; j < m; ++j) { memset(cnt, 0, sizeof(cnt)); memset(sum, 0, sizeof(sum)); memset(mx, 0, sizeof(mx)); for (int i = 0; i < n; ++i) { cnt[s[i][j] - 'a'] |= (1 << i); sum[s[i][j] - 'a'] += a[i][j]; mx[s[i][j] - 'a'] = max(mx[s[i][j] - 'a'], a[i][j]); } for (int i = 0; i < n; ++i) { b[i][j] = sum[s[i][j] - 'a'] - mx[s[i][j] - 'a']; c[i][j] = cnt[s[i][j] - 'a']; } } memset(dp, 63, sizeof(dp)); dp[0] = 0; int lw; for (int msk = 0; msk < n2; ++msk) { for (lw = 0; lw < n; ++lw) if (!(msk & 1 << lw)) break; for (int j = 0; j < m; ++j) { dp[msk | c[lw][j]] = min(dp[msk | c[lw][j]], dp[msk] + b[lw][j]); dp[msk | 1 << lw] = min(dp[msk | 1 << lw], dp[msk] + a[lw][j]); } } printf("%d\n", dp[n2 - 1]); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/stack:200000000") #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") using namespace std; const int N = 20; const int inf = (int)1e9 + 1; const long long big = (long long)1e18 + 1; const int P = 239; const int MOD = (int)1e9 + 7; const int MOD1 = (int)1e9 + 9; const double eps = 1e-9; const double pi = atan2(0, -1); const int ABC = 26; inline void setmin(int &x, int y) { if (y < x) x = y; } inline void setmax(int &x, int y) { if (y > x) x = y; } inline void setmin(long long &x, long long y) { if (y < x) x = y; } inline void setmax(long long &x, long long y) { if (y > x) x = y; } string a[N]; int cost[N][N]; int sum[N][26]; int max_sum[N][26]; int bits[N][26]; int min_cost[N]; int dp[1 << N]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.precision(20); cout << fixed; int n, m; cin >> n >> m; 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 >> cost[i][j]; for (int j = 0; j < m; j++) for (int i = 0; i < n; i++) { sum[j][a[i][j] - 'a'] += cost[i][j]; max_sum[j][a[i][j] - 'a'] = max(max_sum[j][a[i][j] - 'a'], cost[i][j]); bits[j][a[i][j] - 'a'] |= (1 << i); } for (int i = 0; i < n; i++) { min_cost[i] = inf; for (int j = 0; j < m; j++) setmin(min_cost[i], cost[i][j]); } for (int mask = 0; mask < (1 << n); mask++) dp[mask] = inf; dp[0] = 0; for (int mask = 0; mask < (1 << n) - 1; mask++) { int i = __builtin_ctz(~mask); setmin(dp[mask | (1 << i)], dp[mask] + min_cost[i]); for (int j = 0; j < m; j++) setmin(dp[mask | bits[j][a[i][j] - 'a']], dp[mask] + sum[j][a[i][j] - 'a'] - max_sum[j][a[i][j] - 'a']); } cout << dp[(1 << n) - 1] << "\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]); 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> using namespace std; int T[2][1 << 20]; char D[25][25]; int cost[25][25]; int main() { int N, M, s = 0, e = 1; scanf("%d%d", &N, &M); for (int i = 0; i < N; i++) scanf("%s", D[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 < 1 << N; i++) T[s][i] = 0x3fffffff; T[s][0] = 0; for (int j = 0; j < M; j++) { for (int i = 0; i < N; i++) { for (int k = 0; k < 1 << N; k++) T[e][k] = 0x3fffffff; int msk = 0, add = 0; for (int k = 0; k < N; k++) { if (D[i][j] == D[k][j]) msk |= 1 << k, add += cost[k][j]; } add -= cost[i][j]; for (int k = 0; k < 1 << N; k++) { T[e][msk | k] = min(T[e][msk | k], T[s][k] + add); T[e][k] = min(T[e][k], T[s][k]); T[e][k | (1 << i)] = min(T[e][k | (1 << i)], T[s][k] + cost[i][j]); } swap(s, e); } } printf("%d ", T[s][(1 << N) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 20, MAXB = 1 << MAXN; int dp[MAXB], a[MAXN][MAXN]; int sum[46], mx[46], mv[46], dx[46]; char s[MAXN][MAXN + 1]; int sz; 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", &a[i][j]); memset(dp, 63, sizeof dp); dp[0] = 0; int MASK = 1 << n, lim = 26 + n; for (int i = 0; i < m; i++) { for (int j = 0; j < 26; j++) sum[j] = mx[j] = mv[j] = 0; for (int j = 0; j < n; j++) { dx[j + 26] = a[j][i]; mv[j + 26] = 1 << j; int c = s[j][i] - 'a'; mv[c] |= (1 << j); sum[c] += a[j][i]; mx[c] = max(mx[c], a[j][i]); } for (int j = 0; j < 26; j++) dx[j] = sum[j] - mx[j]; for (int mask = 0; mask < MASK; mask++) for (int j = 0; j < 46; j++) if (dp[mask | mv[j]] > dp[mask] + dx[j]) dp[mask | mv[j]] = dp[mask] + dx[j]; ; } cout << dp[MASK - 1]; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int maxn = 21; const int maxs = 1 << 21; int n, m; int a[maxn][maxn]; char str[maxn][maxn]; int dp[maxs]; int lowzero(int s) { for (int i = 0; i < maxn; ++i) { if (!(s & (1 << i))) return i; } return maxn - 1; } int main() { while (~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]); } } memset(dp, INF, sizeof(dp)); dp[0] = 0; for (int s = 0; s < (1 << n); ++s) { int bit = lowzero(s); for (int j = 0; j < m; ++j) { dp[s | (1 << bit)] = min(dp[s | (1 << bit)], dp[s] + a[bit][j]); int sum = 0, bits = 0, mw = 0; for (int i = 0; i < n; ++i) { if (str[i][j] == str[bit][j]) { sum += a[i][j]; mw = max(mw, a[i][j]); bits |= 1 << i; } } dp[s | bits] = min(dp[s | bits], dp[s] + sum - mw); } } cout << dp[(1 << n) - 1] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m; long long f, s; long long tot; long long maxn; long long dp[1 << 22]; long long a[22][22]; char cost[22][22]; signed main() { scanf("%lld%lld", &n, &m); for (register long long i = 0; i < n; i++) cin >> cost[i]; for (register long long i = 0; i < n; i++) for (register long long j = 0; j < m; j++) scanf("%lld", &a[i][j]); memset(dp, 1e9 + 7, sizeof(dp)); dp[0] = 0; for (register long long i = 0; i < (1 << n); i++) { for (register long long j = 0; j < n; j++) { if (!(i & (1 << j))) { f = j; break; } } for (register long long j = 0; j < m; j++) { dp[i + (1 << f)] = min(dp[i + (1 << f)], dp[i] + a[f][j]); s = i, tot = maxn = 0; for (register long long k = 0; k < n; k++) { if (cost[k][j] == cost[f][j]) { s |= (1 << k); tot += a[k][j]; maxn = max(maxn, a[k][j]); } } dp[s] = min(dp[s], dp[i] + tot - maxn); } } printf("%lld", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 0x3f3f3f3f; int dp[1 << 20]; string s[20]; int N, M; int a[22][22]; int lowzero(int st) { for (int i = 0; i < N; i++) { if (st & (1 << i)) { continue; } return i; } } 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]; } } memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int st = 0; st < (1 << N); st++) { if (dp[st] == MAX) continue; int t = lowzero(st); for (int j = 0; j < M; j++) { dp[st | (1 << t)] = min(dp[st | (1 << t)], dp[st] + a[t][j]); int tempst = 0, tempsum = 0, tempmax = 0; for (int i = 0; i < N; i++) { if (s[i][j] == s[t][j]) { tempst |= (1 << i); tempsum += a[i][j]; tempmax = max(tempmax, a[i][j]); } } dp[st | tempst] = min(dp[st | tempst], dp[st] + tempsum - tempmax); } } cout << dp[(1 << N) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 2e9; const int maxn = 22; int n, m; char g[maxn][maxn]; int w[maxn][maxn]; int dp[1 << maxn]; int same[maxn][maxn], cost[maxn][maxn]; void solve() { for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { int sumc = 0, maxc = 0; for (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; } } fill(dp, dp + (1 << n), inf); 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 | same[i][j]] = min(dp[s | same[i][j]], dp[s] + cost[i][j]); } } } } printf("%d\n", dp[(1 << n) - 1]); } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) scanf("%s", &g[i]); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) scanf("%d", &w[i][j]); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; string st[21]; int cost[21][21], n, m, dp[(1 << 20)], cnt[26], sum[26], maxC[26], bit[26]; int num[(1 << 20)]; int main() { cin >> n >> m; for (int i = 0; i < n; i++) cin >> st[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> cost[i][j]; for (int i = 0; i < (1 << n); i++) dp[i] = 1 << 30; for (int i = 0; i < n; i++) num[1 << i] = i; dp[0] = 0; for (int i = 0; i < m; i++) { for (int k = 0; k < n; k++) bit[st[k][i] - 'a'] = sum[st[k][i] - 'a'] = cnt[st[k][i] - 'a'] = maxC[st[k][i] - 'a'] = 0; for (int k = 0; k < n; k++) { cnt[st[k][i] - 'a']++; bit[st[k][i] - 'a'] += (1 << k); sum[st[k][i] - 'a'] += cost[k][i]; maxC[st[k][i] - 'a'] = max(maxC[st[k][i] - 'a'], cost[k][i]); } for (int j = 0; j < (1 << n); j++) if (dp[j] <= dp[(1 << n) - 1]) { for (int k = 0; k < n; k++) if (((1 << k) & j) == 0) { int c = st[k][i] - 'a'; if (cnt[c] > 1) dp[j + (1 << k)] = min(dp[j + (1 << k)], dp[j] + cost[k][i]); else dp[j + (1 << k)] = min(dp[j + (1 << k)], dp[j]); if (cnt[c] > 1) dp[j | bit[c]] = min(dp[j | bit[c]], dp[j] + sum[c] - maxC[c]); } } } cout << dp[(1 << n) - 1] << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 21; const int M = 1 << 21; const long long inf = (long long)1e18; int n, m; char str[N][N]; long long a[N][N]; long long f[M], g[N][N], h[N][N], mn[N]; int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", str[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%I64d", a[i] + j); for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) for (int k = 1; k <= m; k++) if (str[i][k] == str[j][k]) g[i][k] |= (1 << (j - 1)); for (int i = 1; i < (1 << n); i++) f[i] = inf; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { int sta = g[i][j]; long long sum = 0, mx = 0; for (int k = 1; k <= n; k++) if ((sta >> (k - 1)) & 1) sum += a[k][j], mx = max(mx, a[k][j]); h[i][j] = sum - mx; } for (int i = 1; i <= n; i++) { mn[i] = a[i][1]; for (int j = 1; j <= m; j++) mn[i] = min(mn[i], a[i][j]); } for (int u = 0, v; u < (1 << n); u++) { for (int i = 1; i <= n; i++) if (!((u >> (i - 1)) & 1)) { v = u | (1 << (i - 1)); f[v] = min(f[v], f[u] + mn[i]); for (int j = 1; j <= m; j++) { f[u | g[i][j]] = min(f[u | g[i][j]], f[u] + h[i][j]); } break; } } printf("%I64d", f[(1 << n) - 1] == inf ? -1 : f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[1 << 21]; int cost[30][30], num[30][30]; int nex[30][30]; char s[30][30]; int n, m, all; void init() { all = (1 << n) - 1; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int val = all; for (int k = 0; k < n; k++) { if (s[i][j] == s[k][j]) { val -= (1 << k); if (i != k) cost[i][j] += num[k][j]; } } nex[i][j] = val; } } } 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", &num[i][j]); } } init(); int ret = all; for (int i = 0; i < n; i++) { int ok = 1; for (int j = 0; j < m; j++) { for (int k = 0; k < n; k++) if (k != i) { if (s[i][j] == s[k][j]) ok = 0; } } if (ok) ret -= (1 << i); } memset(dp, 0x3f3f3f3f, sizeof(dp)); dp[ret] = 0; for (int s = ret; s > 0; s--) { for (int i = 0; i < n; i++) { if ((s & (1 << i)) == 0) continue; int s1 = s ^ (1 << i); for (int j = 0; j < m; j++) { dp[s1] = min(dp[s1], dp[s] + num[i][j]); int s2 = s1 & nex[i][j]; dp[s2] = min(dp[s2], dp[s] + cost[i][j]); } } } printf("%d\n", dp[0]); 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; }
#include <bits/stdc++.h> using namespace std; int n, m; char s[30][30]; int map1[30][30]; int dp[(1 << 21)]; int pre[30][30], cost[30][30]; void chuli(int sta, int low) { int temp; for (int i = 1; i <= m; ++i) { dp[sta] = min(dp[sta], dp[sta ^ (1 << low)] + map1[low][i]); dp[sta] = min(dp[sta], dp[sta & (~pre[low][i])] + cost[low][i]); } } void init() { int temp, sum, maxn; for (int i = 0; i < n; ++i) for (int j = 1; j <= m; ++j) { temp = 0; sum = 0; maxn = 0; for (int k = 0; k < n; ++k) if (s[k][j] == s[i][j]) { sum += map1[k][j]; maxn = max(maxn, map1[k][j]); temp ^= (1 << k); } pre[i][j] = temp; cost[i][j] = sum - maxn; } } int main() { scanf("%d %d", &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", &map1[i][j]); init(); memset(dp, 0x3f, sizeof(dp)); dp[0] = 0; for (int i = 1; i < (1 << n); ++i) for (int k = 0; k < n; ++k) if (i & (1 << k)) { chuli(i, k); break; } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int toInt(string s) { int v; istringstream sin(s); sin >> v; return v; } template <class T> inline string toString(T x) { ostringstream sout; sout << x; return sout.str(); } int n, m; int A[30][30]; int DP[1 << 20]; int sum[20][26]; int getMsk[20][26]; int best[20][26]; vector<string> v; int solve(int msk) { if (msk == (1 << n) - 1) return 0; int &ret = DP[msk]; if (ret != -1) return ret; ret = 1 << 30; for (int i = 0; i < n; ++i) { if ((msk | (1 << i)) == msk) continue; for (int j = 0; j < m; ++j) { ret = min(ret, A[i][j] + solve(msk | (1 << i))); int k = v[i][j] - 'a'; if ((msk | getMsk[j][k]) != msk) ret = min(ret, sum[j][k] - best[j][k] + solve(msk | getMsk[j][k])); } break; } return ret; } int main() { { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } memset(DP, -1, sizeof(DP)); cin >> n >> m; v.resize(n); for (int i = 0; i < n; ++i) { cin >> v[i]; } for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { cin >> A[i][j]; sum[j][v[i][j] - 'a'] += A[i][j]; getMsk[j][v[i][j] - 'a'] |= (1 << i); best[j][v[i][j] - 'a'] = max(best[j][v[i][j] - 'a'], A[i][j]); } } memset(DP, -1, sizeof(DP)); cout << solve(0); }
#include <bits/stdc++.h> long long gcd(long long x, long long y) { return y % x == 0 ? x : gcd(y % x, x); } template <class T> T my_abs(T a) { if (a < 0) a = -a; return a; } const int maxn = 30 + 7, inf = 0x3f3f3f3f; int dp[1 << 20]; int n, m, a[maxn][maxn], c[maxn][maxn], sv[maxn][maxn]; char str[maxn]; std::string s[maxn]; int main() { scanf("%d %d", &n, &m); std::memset(dp, 0x3f, sizeof(dp)); for (int i = (int)(0); i <= (int)(n - 1); i++) scanf("%s", str), s[i] = str; for (int i = (int)(0); i <= (int)(n - 1); i++) for (int j = (int)(0); j <= (int)(m - 1); j++) scanf("%d", &a[i][j]); for (int i = (int)(0); i <= (int)(n - 1); i++) { for (int j = (int)(0); j <= (int)(m - 1); j++) { int curv = 0; for (int k = (int)(0); k <= (int)(n - 1); k++) { if (s[i][j] == s[k][j]) { sv[i][j] |= 1 << k; c[i][j] += a[k][j]; curv = (curv > a[k][j] ? curv : a[k][j]); } } c[i][j] -= curv; } } dp[0] = 0; for (int i = (int)(1); i <= (int)((1 << n) - 1); i++) { int lowbit = -1; for (int j = (int)(0); j <= (int)(n - 1); j++) { if ((i >> j) & 1) { lowbit = j; break; } } for (int j = (int)(0); j <= (int)(m - 1); j++) { dp[i] = (dp[i] < dp[i & (i ^ sv[lowbit][j])] + c[lowbit][j] ? dp[i] : dp[i & (i ^ sv[lowbit][j])] + c[lowbit][j]); dp[i] = (dp[i] < dp[i ^ (1 << lowbit)] + a[lowbit][j] ? dp[i] : dp[i ^ (1 << lowbit)] + a[lowbit][j]); } } printf("%d\n", dp[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1 << 20; int mi2[20], _mi2[maxn]; int n, m; char s[21][21]; int a[21][21]; int sv[21][21], c[21][21]; int f[maxn]; int main() { _mi2[mi2[0] = 1] = 0; for (int i = (1); i <= (19); ++i) mi2[i] = mi2[i - 1] * 2, _mi2[mi2[i]] = i; for (int i = 1, nn = 1 << 20; i < nn; ++i) if (!_mi2[i]) _mi2[i] = _mi2[i - 1]; scanf("%d%d", &n, &m); for (int i = (0); i <= (n - 1); ++i) scanf("%s", s[i]); for (int i = (0); i <= (n - 1); ++i) for (int j = (0); j <= (m - 1); ++j) scanf("%d", &a[i][j]); for (int i = (0); i <= (n - 1); ++i) for (int j = (0); j <= (m - 1); ++j) { int mx = 0; for (int k = (0); k <= (n - 1); ++k) if (s[i][j] == s[k][j]) { sv[i][j] |= mi2[k]; c[i][j] += a[k][j]; mx = max(mx, a[k][j]); } c[i][j] -= mx; } int nn = 1 << n; --nn; for (int _ = 1, u, ww; _ <= nn; ++_) { f[_] = 0x7fffffff; ww = _ & (-_); u = _mi2[ww]; for (int i = (0); i <= (m - 1); ++i) { f[_] = min(f[_], f[_ - ww] + a[u][i]); f[_] = min(f[_], f[_ & (_ ^ sv[u][i])] + c[u][i]); } } cout << f[nn] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, f, s, tot, maxn; long long dp[1 << 22]; long long a[22][22]; char mp[22][22]; signed main() { scanf("%lld %lld", &n, &m); for (long long i = 0; i < n; i++) cin >> mp[i]; for (long long i = 0; i < n; i++) for (long long j = 0; j < m; j++) scanf("%lld", &a[i][j]); memset(dp, 0x3f3f3f3f, sizeof(dp)); dp[0] = 0; for (long long i = 0; i < (1 << n); i++) { for (long long j = 0; j < n; j++) if (!(i & (1 << j))) { f = j; break; } for (long long j = 0; j < m; j++) { dp[i + (1 << f)] = min(dp[i + (1 << f)], dp[i] + a[f][j]); s = i, tot = maxn = 0; for (long long k = 0; k < n; k++) if (mp[k][j] == mp[f][j]) s |= (1 << k), tot += a[k][j], maxn = max(maxn, a[k][j]); dp[s] = min(dp[s], dp[i] + tot - maxn); } } cout << dp[(1 << n) - 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1e17; int n, m; int num[22][22], a[22][22]; long long f[1 << 21], val[22][22]; char str[25][25]; int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) scanf("%s", str[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 <= m; i++) for (int j = 1; j <= n; j++) { long long mx = 0, sum = 0; for (int k = 1; k <= n; k++) if (str[j][i] == str[k][i]) { sum += a[k][i]; mx = max(mx, 1ll * a[k][i]); num[j][i] |= (1 << k - 1); } val[j][i] = sum - mx; } for (int s = 0; s < (1 << n); s++) f[s] = inf; f[0] = 0; for (int s = 0; s < (1 << n); s++) { int x = 0; for (int i = 1; i <= n; i++) if (!(s & (1 << i - 1))) { x = i; break; } if (!x) break; for (int i = 1; i <= m; i++) { f[s | (1 << x - 1)] = min(f[s | (1 << x - 1)], f[s] + a[x][i]); f[s | num[x][i]] = min(f[s | num[x][i]], f[s] + val[x][i]); } } printf("%d", f[(1 << n) - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; using pll = pair<ll, ll>; const ll inf = 1E17; const ll mod = 1; ll a[300010]; int n, k, chnk; ll dp[5001][5001]; ll solve(int pos, int xtra, int l) { if (pos == 0) { if (xtra == 0) return 0; return inf; } ll &ret = dp[pos][xtra]; if (ret != -1) return ret; ret = a[l + chnk - 1] - a[l] + solve(pos - 1, xtra, l + chnk); if (xtra) ret = min(ret, a[l + chnk] - a[l] + solve(pos - 1, xtra - 1, l + chnk + 1)); return ret; } int main() { ios_base::sync_with_stdio(false); while (cin >> n >> k) { for (int i = 1; i <= n; i++) { cin >> a[i]; } sort(a + 1, a + n + 1); memset(dp, -1, sizeof dp); chnk = n / k; cout << solve(k, n % k, 1) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, k; int a[1 << 20]; int sz[1 << 20]; int cnt1, cnt2, sz1, sz2; bool used[5124][5124]; long long state[5124][5124]; long long all; long long diff[1 << 20]; long long recurse(int pos, int cnt1, int cnt2) { if (pos >= n) return 0; if (used[cnt1][cnt2]) return state[cnt1][cnt2]; long long ans = 0; if (cnt1 > 0) if (pos + sz1 - 1 >= pos) ans = max(ans, a[pos + sz1] - a[pos + sz1 - 1] + recurse(pos + sz1, cnt1 - 1, cnt2)); if (cnt2 > 0) if (pos + sz2 - 1 >= pos) ans = max(ans, a[pos + sz2] - a[pos + sz2 - 1] + recurse(pos + sz2, cnt1, cnt2 - 1)); used[cnt1][cnt2] = true; state[cnt1][cnt2] = ans; return ans; } int main() { int i; scanf("%d %d", &n, &k); for (i = 1; i <= n; i++) scanf("%d", &a[i]); sort(a + 1, a + 1 + n); for (i = 2; i <= n; i++) diff[i] = diff[i - 1] + a[i] - a[i - 1]; for (i = 2; i <= n; i++) all += a[i] - a[i - 1]; for (i = 1; i <= n; i++) { sz[i % k]++; } sz1 = (n + k - 1) / k; sz2 = sz1 - 1; for (i = 0; i < k; i++) { if (sz[i % k] == sz1) cnt1++; else cnt2++; } printf("%I64d\n", all - recurse(1, cnt1, cnt2)); return 0; }
#include <bits/stdc++.h> using namespace std; int n, k; long long a[500005]; long long dp[5005][5005]; int main() { scanf("%d%d", &n, &k); for (int i = 1; i <= n; i++) scanf("%I64d", &a[i]); sort(a + 1, a + 1 + n); int len1 = n / k + 1, num1 = n % k; int len2 = n / k, num2 = k - n % k; memset(dp, 0x3f, sizeof(dp)); dp[0][0] = 0; for (int i = 0; i <= num1; i++) { for (int j = 0; j <= num2; j++) { if (i) { int s = (i - 1) * len1 + j * len2 + 1; int e = s + len1 - 1; dp[i][j] = min(dp[i][j], dp[i - 1][j] + a[e] - a[s]); } if (j) { int s = i * len1 + (j - 1) * len2 + 1; int e = s + len2 - 1; dp[i][j] = min(dp[i][j], dp[i][j - 1] + a[e] - a[s]); } } } printf("%I64d\n", dp[num1][num2]); }
#include <bits/stdc++.h> using namespace std; const int OO = 2e9; const int MOD = 1e9 + 7; const double Pi = 3.141592653589793; const int N = 3e5 + 5; vector<long long> dp[5003]; int a[N], n, k, d0, d1, l0, l1, v0, v1, last; int main() { cin >> n >> k; for (int i = (int)1; i <= (int)n; i++) scanf("%i", &a[i]); sort(a + 1, a + n + 1); d1 = n % k; d0 = k - d1; l0 = n / k; l1 = l0 + 1; for (int i = (int)0; i <= (int)d0; i++) for (int j = (int)0; j <= (int)d1; j++) dp[i].push_back(0); dp[0][0] = 0; for (int i = (int)1; i <= (int)d1; i++) dp[0][i] = dp[0][i - 1] + a[i * l1] - a[i * l1 - l1 + 1]; for (int i = (int)1; i <= (int)d0; i++) { dp[i][0] = dp[i - 1][0] + a[i * l0] - a[i * l0 - l0 + 1]; for (int j = (int)1; j <= (int)d1; j++) { last = i * l0 + j * l1; v0 = dp[i - 1][j] + a[last] - a[last - l0 + 1]; v1 = dp[i][j - 1] + a[last] - a[last - l1 + 1]; dp[i][j] = min(v0, v1); } } cout << dp[d0][d1]; }
#include <bits/stdc++.h> using namespace std; const int INF = 2e9; const int MAX_n = 3e5 + 10, MAX_k = 5010; int n, k; int a[MAX_n]; int dp[MAX_k][MAX_k]; int abs(int x) { return max(x, -x); } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> k; for (int i = 0; i < n; ++i) cin >> a[i]; sort(a, a + n); int div = n / k, mod = n % k; for (int i = 0; i <= mod; ++i) { for (int j = 0; j <= k - mod; ++j) { if (i + j == 0) continue; int l = i * (div + 1) + j * (div); dp[i][j] = INF; if (i) { dp[i][j] = min(dp[i][j], dp[i - 1][j] + a[l - 1] - a[l - div - 1]); } if (j) { dp[i][j] = min(dp[i][j], dp[i][j - 1] + a[l - 1] - a[l - n / k]); } } } cout << dp[n % k][k - n % k] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int max_n = 300 * 1000, max_k = 5000; int ar[max_n]; long long dp[max_k + 1][max_k + 1]; const long long inf = 1e16; int main() { int n, k; scanf("%d%d", &n, &k); for (int i = 0; i < (n); i++) scanf("%d", &ar[i]); sort(ar, ar + n); const int x = n / k; const int a = n % k, b = k - n % k; if (x == 0) { cout << 0 << endl; return 0; } for (int i = 0; i < (a + 1); i++) for (int j = 0; j < (b + 1); j++) dp[i][j] = inf; dp[0][0] = 0; for (int i = 0; i < (a + 1); i++) for (int j = 0; j < (b + 1); j++) if (dp[i][j] < inf) { int cur = i * (x + 1) + j * x; if (i < a) dp[i + 1][j] = min(ar[cur + x] - ar[cur] + dp[i][j], dp[i + 1][j]); if (j < b) dp[i][j + 1] = min(ar[cur + x - 1] - ar[cur] + dp[i][j], dp[i][j + 1]); } cout << dp[a][b] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long a[300010], N, K, dp[5010][5010]; inline long long f(long long L, long long S) { return L * (N / K + 1) + S * (N / K); } long long solve(long long L, long long S) { if (dp[L][S] != -1) return dp[L][S]; if (S == 0 and L == 0) return dp[L][S] = 0; if (S == 0 and L > 0) return dp[L][S] = a[f(L, S)] - a[f(L, S) - N / K] + solve(L - 1, S); if (S > 0 and L == 0) return dp[L][S] = a[f(L, S)] - a[f(L, S) - N / K + 1] + solve(L, S - 1); long long e1 = a[f(L, S)] - a[f(L, S) - N / K] + solve(L - 1, S); long long e2 = a[f(L, S)] - a[f(L, S) - N / K + 1] + solve(L, S - 1); return dp[L][S] = min(e1, e2); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); memset(dp, -1, sizeof dp); cin >> N >> K; for (long long i = 1; i <= N; i++) cin >> a[i]; sort(a + 1, a + N + 1); long long L = N % K; long long S = K - L; cout << solve(L, S) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; struct debug_t { template <typename T> debug_t& operator<<(const T& value) { return *this; } } debug; const int N = (int)3e5; int n, k, gLen; int a[N]; int d[N]; map<int, long long> dp[5001]; long long Dyn(int gr, int ls, int pos) { if (pos > n) return 100LL * INT_MAX; if (pos == n) return gr || ls ? 100LL * INT_MAX : 0; auto it = dp[gr].find(pos); if (it != dp[gr].end()) return it->second; long long result = LLONG_MAX; if (ls) result = min(result, d[pos + gLen - 2] - d[pos] + Dyn(gr, ls - 1, pos + gLen - 1)); if (gr) result = min(result, d[pos + gLen - 1] - d[pos] + Dyn(gr - 1, ls, pos + gLen)); dp[gr].emplace(pos, result); return result; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); while (cin >> n >> k) { int i; for (i = 0; i < n; i++) cin >> a[i]; gLen = (n + k - 1) / k; int gCount = n % k; if (!gCount) gCount = k; int lCount = gLen == 1 ? 0 : (n - gCount * gLen) / (gLen - 1); sort(a, a + n); adjacent_difference(a, a + n, d); partial_sum(d + 1, d + n, d + 1); d[0] = 0; for (i = 0; i < n; i++) debug << d[i] << ' '; debug << '\n' << gLen << ' ' << gCount << '\n'; for (auto& m : dp) m.clear(); cout << Dyn(gCount, lCount, 0) << '\n'; debug << '\n'; } }
#include <bits/stdc++.h> using namespace std; const long long INF = 1000000000000000LL; int a[300010]; long long dp[5010][5010]; int main() { int n, k; cin >> n >> k; for (int i = 0; i < n; i++) { scanf("%d", &a[i]); } sort(a, a + n); int gsize = n / k; int l = n % k; int s = k - l; for (int i = 0; i <= k; i++) { for (int j = 0; j <= min(s, i); j++) { dp[j][i - j] = INF; } } long long ans = INF; dp[0][0] = 0; for (int i = 1; i <= k; i++) { for (int j = 0; j <= min(s, i); j++) { int pos = i * gsize + (i - j) - 1; if (j > 0) dp[j][i - j] = min(dp[j][i - j], dp[j - 1][i - j] + a[pos] - a[pos - gsize + 1]); if (i - j > 0) dp[j][i - j] = min(dp[j][i - j], dp[j][i - j - 1] + a[pos] - a[pos - gsize]); if (i == k && s == j) { ans = min(ans, dp[j][k - j]); } } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 330000; int a[N], m; long long dp[5500][5500]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, k; cin >> n >> k; for (int i = 1; i <= n; i++) cin >> a[i]; sort(a + 1, a + n + 1); m = n / k; int b = k - n % k, c = n % k; for (int i = 0; i < 66; i++) for (int j = 0; j < 66; j++) dp[i][j] = LLONG_MIN; long long tot = 0; for (int i = 1; i < n; i++) tot += abs(a[i + 1] - a[i]); for (int i = 0; i <= b; i++) { for (int j = 0; j <= c; j++) { if (i == 0 && j == 0) { dp[i][j] = 0; continue; } if (i == 1 && j == 0) { dp[i][j] = 0; continue; } if (i == 0 && j == 1) { dp[i][j] = 0; continue; } if (i) dp[i][j] = max(dp[i][j], dp[i - 1][j] + abs(a[m * (i - 1) + (m + 1) * j] - a[m * (i - 1) + (m + 1) * j + 1])); if (j) dp[i][j] = max(dp[i][j], dp[i][j - 1] + abs(a[m * i + (m + 1) * (j - 1)] - a[m * i + (m + 1) * (j - 1) + 1])); } } cout << tot - dp[b][c] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3e5 + 1; int n, k, x; long long int a1[maxn]; long long int dp[5001][5001]; long long int com(int a, int b) { int in = n - a * (x + 1) - b * x; if (in == n) return 0; if (dp[a][b] != -1) return dp[a][b]; long long int ans = 0; if (b == 0) { ans = com(a - 1, b); ans += a1[in + x] - a1[in]; } else if (a == 0) { ans = com(a, b - 1); ans += a1[in + x - 1] - a1[in]; } else { long long int t1, t2; t1 = com(a, b - 1); t1 += a1[in + x - 1] - a1[in]; t2 = com(a - 1, b); t2 += a1[in + x] - a1[in]; ans = min(t1, t2); } dp[a][b] = ans; return ans; } int main() { cin >> n >> k; for (int i = 0; i < n; ++i) { cin >> a1[i]; } sort(a1, a1 + n); x = n / k; long long int ct = k - n % k; memset(dp, -1, sizeof(dp)); cout << com(n % k, ct) << "\n"; }
#include <bits/stdc++.h> using namespace std; int n, k, a[300005]; map<int, long long> dp[300005]; map<int, long long>::iterator it; int main() { cin >> n >> k; for (int i = 1; i <= n; i++) scanf("%d", &a[i]); sort(a + 1, a + n + 1); dp[0][0] = 0; int a1 = n / k + 1, a2 = n / k, b1 = n % k, b2 = n - n % k; for (int i = a2; i <= n; i++) { for (it = dp[i - a2].begin(); it != dp[i - a2].end(); it++) { int k = (*it).first; dp[i][k] = (*it).second + a[i] - a[i - a2 + 1]; } if (i - a1 < 0) continue; for (it = dp[i - a1].begin(); it != dp[i - a1].end(); it++) { int k = (*it).first; if (k + 1 <= b1) { if (dp[i].find(k + 1) == dp[i].end()) dp[i][k + 1] = (*it).second + a[i] - a[i - a1 + 1]; else dp[i][k + 1] = min(dp[i][k + 1], (*it).second + a[i] - a[i - a1 + 1]); } } dp[i - a1].clear(); } cout << dp[n][b1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int a[300005]; long long dp[5005][5005]; int main() { int i, j, n, k, x, m; cin >> n >> k; for (i = 1; i <= n; i++) scanf("%d", &a[i]); sort(a + 1, a + 1 + n); m = (n - 1) / k + 1; x = n % k; if (x == 0) x = k; for (i = 1; i <= k; i++) { for (j = 0; j <= i; j++) { dp[i][j] = (long long)1 << 60; int x = m * j + (m - 1) * (i - j); if (x <= n) { if (j > 0) { dp[i][j] = dp[i - 1][j - 1] + a[x] - a[m * (j - 1) + (m - 1) * (i - j) + 1]; } if (i != j) { dp[i][j] = min(dp[i][j], dp[i - 1][j] + a[x] - a[m * j + (m - 1) * (i - 1 - j) + 1]); } } } } printf("%I64d\n", dp[k][x]); }
#include <bits/stdc++.h> using namespace std; long long v[300000]; long long acc[300000]; long long pd[5001][5001]; int len_s, n_big, n_small; long long solve(int ns, int nb) { if (ns + nb == 0) { return 0; } long long& ans = pd[ns][nb]; if (ans != -1) { return ans; } int p = (n_small - ns) * len_s + (n_big - nb) * (len_s + 1); ans = LLONG_MAX; if (ns) { ans = acc[p + len_s - 1] - acc[p] + solve(ns - 1, nb); } if (nb) { ans = min(ans, acc[p + len_s] - acc[p] + solve(ns, nb - 1)); } return ans; } int main() { ios::sync_with_stdio(false); int n, k; cin >> n >> k; for (int i = 0; i < n; ++i) { cin >> v[i]; } if (n < k) { cout << 0 << endl; return 0; } sort(v, v + n); for (int i = 1; i < n; ++i) { acc[i] = acc[i - 1] + v[i] - v[i - 1]; } len_s = (n - 1) / k; n_big = (n - 1 - len_s * k) + 1; n_small = k - n_big; memset(pd, -1, sizeof pd); cout << solve(n_small, n_big) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int A[300000 + 1]; bool used[5000 + 1][5000 + 1]; long long memo[5000 + 1][5000 + 1]; int n, K; long long la, lb; long long ga, gb; long long dp(int a, int b) { if (a == ga && b == gb) return 0; if (used[a][b]) return memo[a][b]; used[a][b] = 1; long long &dev = memo[a][b] = (1LL << 60); int pos = a * la + b * lb; if (a + 1 <= ga) dev = min(dev, A[pos + la - 1] - A[pos] + dp(a + 1, b)); if (b + 1 <= gb) dev = min(dev, A[pos + lb - 1] - A[pos] + dp(a, b + 1)); return dev; } int main() { while (scanf("%d", &n) == 1) { scanf("%d", &K); for (int i = 0; i < n; i++) scanf("%d", &A[i]); la = (n - 1) / K + 1; lb = n / K; ga = (n % K); gb = K - (n % K); sort(A, A + n); memset(used, 0, sizeof(used)); cout << dp(0, 0) << '\n'; } }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:102400000,102400000") using namespace std; template <class T> inline void scan_d(T &ret) { char c; int flag = 0; ret = 0; while (((c = getchar()) < '0' || c > '9') && c != '-') ; if (c == '-') { flag = 1; c = getchar(); } while (c >= '0' && c <= '9') ret = ret * 10 + (c - '0'), c = getchar(); if (flag) ret = -ret; } const int maxn = 5000 + 10; int dp[maxn][maxn]; int a[300000 + 10]; int main() { int n, k; while (scanf("%d%d", &n, &k) == 2) { for (int i = 1; i <= n; i++) scanf("%d", &a[i]); sort(a + 1, a + 1 + n); int t = n / k; int big = n % k, sm = k - big; dp[0][0] = 0; for (int i = 0; i <= big; i++) for (int j = 0; j <= sm; j++) { if (i == 0 && j == 0) continue; dp[i][j] = 2000000000; if (i) dp[i][j] = min(dp[i][j], dp[i - 1][j] + a[i * (t + 1) + j * t] - a[(i - 1) * (t + 1) + j * t + 1]); if (j) dp[i][j] = min(dp[i][j], dp[i][j - 1] + a[i * (t + 1) + j * t] - a[i * (t + 1) + (j - 1) * t + 1]); } printf("%d\n", dp[big][sm]); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 100000000000000000ll; const int N = 300010; int a[N]; long long sum[N]; long long dp[2][5010]; int k1, k2, w1, w2; int n, k; long long calc(int l, int r) { int mid; if (r < l) return 0; return a[r] - a[l]; } int main() { scanf("%d%d", &n, &k); int i, j; for (i = 1; i <= n; i++) scanf("%d", &a[i]); sort(a + 1, a + 1 + n); for (i = 1; i <= n; i++) sum[i] = sum[i - 1] + a[i]; if (n % k == 0) k2 = 0; else k2 = k - n % k; k1 = k - k2; w1 = n / k + (n % k != 0); w2 = w1 - 1; for (j = 0; j <= k1; j++) dp[0][j] = INF; dp[0][0] = 0; for (i = 0; i <= k1 + k2 - 1; i++) { for (j = 0; j <= k1; j++) dp[i + 1 & 1][j] = INF; for (j = 0; j <= k1; j++) { dp[i + 1 & 1][j] = min(dp[i + 1 & 1][j], dp[i & 1][j] + calc(w1 * j + w2 * (i - j) + 1, w1 * j + w2 * (i - j) + w2)); if (j < k1) dp[i + 1 & 1][j + 1] = min(dp[i + 1 & 1][j + 1], dp[i & 1][j] + calc(w1 * j + w2 * (i - j) + 1, w1 * j + w2 * (i - j) + w1)); } } printf("%I64d\n", dp[(k1 + k2) & 1][k1]); return 0; }
#include <bits/stdc++.h> using namespace std; long long int t, i, j, k, l, n, m, a[300010], d[5010][5010]; int main() { cin >> n >> m; t = n / m; l = n % m; for (i = 0; i < n; i++) { cin >> a[i]; } sort(a, a + n); for (i = 0; i <= m; i++) { for (j = 0; j <= l; j++) { d[i][j] = 9e18; } } d[0][0] = 0; for (i = 1; i <= m; i++) { for (j = 0; j <= l; j++) { d[i][j] = d[i - 1][j] + abs(a[t * i + j - 1] - a[t * i + j - t]); if (j) { d[i][j] = min(d[i][j], d[i - 1][j - 1] + abs(a[t * i + j - 1] - a[t * i + j - t - 1])); } } } cout << d[m][n % m] << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3e5 + 100; const int MAXK = 5015; int n, k; int a[MAXN]; long long sum[MAXN]; long long d[MAXK][MAXK]; int main() { scanf("%d%d", &n, &k); for (int i = 0; i < (n); i++) scanf("%d", &a[i]); sort(a, a + n); int m = n % k, l = n / k; for (int i = 0; i < (n - 1); i++) sum[i + 2] = sum[i + 1] + a[i + 1] - a[i]; for (int i = 0; i < (k + 1); i++) for (int j = 0; j < (m + 1); j++) d[i][j] = 1e18; d[0][0] = 0; for (int i = 0; i < (k); i++) { for (int j = 0; j < (m + 1); j++) { d[i + 1][j] = min(d[i + 1][j], d[i][j] + sum[i * l + j + l] - sum[i * l + j + 1]); d[i + 1][j + 1] = min(d[i + 1][j + 1], d[i][j] + sum[i * l + j + l + 1] - sum[i * l + j + 1]); } } printf( "%lld" "\n", d[k][m]); return 0; }
#include <bits/stdc++.h> using namespace std; int N, K; int A[714514]; long long dp[5100][5100]; int main() { scanf("%d%d", &N, &K); for (int(i) = 0; (i) < (N); (i)++) scanf("%d", &A[i]); sort(A, A + N); int p1 = N % K; int p2 = K - p1; int w = N / K; for (int(i) = 0; (i) < (5100); (i)++) for (int(j) = 0; (j) < (5100); (j)++) dp[i][j] = 1LL << 61; dp[0][0] = 0; for (int(i) = 0; (i) < (p1 + 1); (i)++) for (int(j) = 0; (j) < (p2 + 1); (j)++) { int cc = i * (w + 1) + j * w; if (cc > N) continue; dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + abs(A[cc] - A[cc + w])); dp[i][j + 1] = min(dp[i][j + 1], dp[i][j] + abs(A[cc] - A[cc + w - 1])); } printf("%d\n", dp[p1][p2]); }
#include <bits/stdc++.h> using namespace std; const long long maxN = 5e3 + 13, INF = 1e18 + 13; long long n, k, dp[maxN][maxN]; vector<long long> vec; int32_t main() { cin >> n >> k; for (long long i = 0; i < n; i++) { long long a; cin >> a; vec.push_back(a); } memset(dp, 63, sizeof dp); sort(vec.begin(), vec.end()); long long s = k - (n % k), l = n % k; for (long long i = 0; i <= s; i++) for (long long j = 0; j <= l; j++) { if (i == 0 && j == 0) dp[i][j] = 0; else dp[i][j] = min( ((i) ? dp[i - 1][j] + vec[(i - 1) * (n / k) + j * (n / k + 1) + n / k - 1] - vec[(i - 1) * (n / k) + j * (n / k + 1)] : INF), ((j) ? dp[i][j - 1] + vec[i * (n / k) + (j - 1) * (n / k + 1) + n / k] - vec[i * (n / k) + (j - 1) * (n / k + 1)] : INF)); } cout << dp[s][l] << endl; }
#include <bits/stdc++.h> using namespace std; const long long INF = 2e9; const long long MOD = 1e9 + 7; void solve() { long long n, k; cin >> n >> k; vector<long long> a(n); for (long long i = 0; i < n; i++) { cin >> a[i]; } sort(a.begin(), a.end()); vector<vector<long long>> dp(k + 1, vector<long long>(k + 1)); for (long long i = 0; i <= k; i++) { for (long long j = 0; j <= k; j++) { long long now = (n / k) * i + (n / k + 1) * j - 1; if (now >= n || (!i && !j)) continue; dp[i][j] = min(i ? dp[i - 1][j] + a[now] - a[now - n / k + 1] : INF, j ? dp[i][j - 1] + a[now] - a[now - n / k] : INF); } } cout << dp[k - n % k][n % k]; } signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cout.precision(12); solve(); }
#include <bits/stdc++.h> using namespace std; const int INF = 1e18; const int maxk = 5005; const int maxn = 3e5 + 10; long long dp[maxk][maxk]; long long arr[maxn]; int main() { int n, k; cin >> n >> k; for (int i = 0; i < n; i++) { cin >> arr[i]; } sort(arr, arr + n); for (int i = 0; i < maxk; i++) { for (int j = 0; j < maxk; j++) { dp[i][j] = INF; } } dp[0][0] = 0; for (int i = 0; i <= k - (n % k); i++) { for (int j = 0; j <= n % k; j++) { int now = i * (n / k) + j * ((n + k - 1) / k) - 1; if (i == 0 && j == 0) { dp[i][j] = 0; continue; } long long first = INF, second = INF; if (i >= 1) { first = arr[now] - arr[now - n / k + 1] + dp[i - 1][j]; } if (j >= 1) { second = arr[now] - arr[now - ((n + k - 1) / k) + 1] + dp[i][j - 1]; } dp[i][j] = min(first, second); } } cout << dp[k - (n % k)][n % k]; return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 3e5 + 10, K = 5000 + 10; long long n, k, a[N]; long long dp[K][K]; long long solve(long long la, long long lb, long long ra, long long rb) { long long l = lb * (n / k + 1) + (la - lb) * (n / k) + 1; long long r = rb * (n / k + 1) + (ra - rb) * (n / k); return dp[la][lb] + a[r] - a[l]; } int main() { scanf("%lld%lld", &n, &k); for (long long i = 1; i <= n; i++) scanf("%lld", &a[i]); sort(a + 1, a + n + 1); memset(dp, 0x3f, sizeof(dp)); dp[0][0] = 0; for (long long i = 1; i <= k; i++) { long long tmp = min(i, n % k); for (long long j = 0; j <= tmp; j++) { if (j == 0) dp[i][j] = solve(i - 1, j, i, j); else dp[i][j] = min(solve(i - 1, j - 1, i, j), solve(i - 1, j, i, j)); } } printf("%lld", dp[k][n % k]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e15, M = 5005; long long dp[M][M]; int a[M * 60], n, k; void Min(long long &a, long long b) { if (a > b) a = b; } int main() { scanf("%d%d", &n, &k); for (int i = 0; i < n; i++) scanf("%d", a + i); sort(a, a + n); int len = n / k, res = n % k; for (int i = 0; i < k + 1; i++) for (int j = 0; j < k + 1; j++) dp[i][j] = INF; dp[0][0] = 0; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { if (dp[i][j] == INF) continue; int nx = i * len + j; if (nx + len < n) Min(dp[i + 1][j + 1], dp[i][j] + a[nx + len] - a[nx]); if (nx + len - 1 < n) Min(dp[i + 1][j], dp[i][j] + a[nx + len - 1] - a[nx]); } } cout << dp[k][res]; return 0; }
#include <bits/stdc++.h> using namespace std; int n, k; int d[300000]; long long c[5001][5001]; int main() { scanf("%d%d", &n, &k); for (int i = 0; i < n; i++) scanf("%d", &d[i]); sort(d, d + n); int lim = (n - 1) % k + 1, itv = (n - 1) / k; memset(c, -1, sizeof(c)); c[0][0] = 0; for (int s = 0; s < k; s++) { for (int i = 0; i <= s; i++) { int j = s - i; if (c[i][j] == -1) continue; if (i + 1 <= k - lim) { int S = itv * (i + j) + j, E = itv * (i + j + 1) + j - 1; if (c[i + 1][j] == -1 || c[i + 1][j] > c[i][j] + d[E] - d[S]) c[i + 1][j] = c[i][j] + d[E] - d[S]; } if (j + 1 <= lim) { int S = itv * (i + j) + j, E = itv * (i + j + 1) + (j + 1) - 1; if (c[i][j + 1] == -1 || c[i][j + 1] > c[i][j] + d[E] - d[S]) c[i][j + 1] = c[i][j] + d[E] - d[S]; } } } printf("%I64d", c[k - lim][lim]); return 0; }
#include <bits/stdc++.h> using namespace std; long long dp[5010][5010] = {0}; int main() { ios_base::sync_with_stdio(false); cin.tie(0); srand(time(NULL)); int n, k; cin >> n >> k; vector<long long> A(n); for (int i = 0; i < n; ++i) cin >> A[i]; sort(A.begin(), A.end()); for (int i = 2; i <= k; ++i) { for (int j = 0; j <= min(i, n % k); ++j) { int cell_num = j + n / k * i; if (i > j) dp[i][j] = max(dp[i][j], dp[i - 1][j] + A[cell_num - n / k] - A[cell_num - n / k - 1]); if (j) { dp[i][j] = max(dp[i][j], dp[i - 1][j - 1] + A[cell_num - n / k - 1] - A[cell_num - n / k - 2]); } } } cout << A.back() - A[0] - dp[k][n % k] << '\n'; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6; long long n, k, a[maxn], j, i, b[maxn], f[5007][5007], maxt, t; long long res; long long dp(int i, int t, int k) { if (k == 0 && i > 0) return 1000000000000; if (t > 0 && i <= 0) return 1000000000000; if (i == 0) return 0; if (f[k][t] == -1) { if (i - maxt + 1 > 0) f[k][t] = dp(i - maxt, t, k - 1) + abs(a[i] - a[i - maxt + 1]); else f[k][t] = 10000000000000; if (t > 0 && i - maxt + 2 > 0) f[k][t] = min(f[k][t], dp(i - maxt + 1, t - 1, k - 1) + abs(a[i] - a[i - maxt + 2])); } return f[k][t]; } int main() { cin >> n >> k; for (int i = 1; i <= n; ++i) { scanf("%I64d", &a[i]); } sort(a + 1, a + n + 1); maxt = (n - 1) / k; for (int i = 1; i <= k; ++i) if ((n - i) / k != maxt) t++; maxt++; for (int i = 0; i <= k; i++) for (int j = 0; j <= k; ++j) f[i][j] = -1; res = dp(n, t, k); cout << res; }
#include <bits/stdc++.h> using namespace std; int a[301000]; int main() { int i, n, k; scanf("%d %d", &n, &k); for (i = 0; i < n; i++) { scanf("%d", &a[i]); } sort(a, a + n); int large = n % k, sz = n / k; int **dp = (int **)malloc((large + 1) * sizeof(int *)); for (int i = 0; i <= large; i++) dp[i] = (int *)malloc((k - large + 1) * sizeof(int)); for (int i = 0; i <= large; i++) for (int j = 0; j <= k - large; j++) dp[i][j] = 2e9; dp[0][0] = 0; for (int i = 0; i <= large; i++) { for (int j = 0; j <= k - large; j++) { int nxt = i * (sz + 1) + j * sz; if (i < large) { dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[nxt + sz] - a[nxt]); } if (j < k - i) { dp[i][j + 1] = min(dp[i][j + 1], dp[i][j] + a[nxt + sz - 1] - a[nxt]); } } } printf("%d\n", dp[large][k - large]); }
#include <bits/stdc++.h> using namespace std; const int maxn = 3e5 + 10; const int maxk = 5000 + 5; int n, k; int a[maxn]; long long d[maxk][maxk]; int main() { scanf("%d%d", &n, &k); for (int i = 1; i <= n; i++) scanf("%d", &a[i]); sort(a + 1, a + 1 + n); a[0] = a[1]; int num1 = n % k, len1 = n / k + 1; int num2 = k - num1, len2 = n / k; for (int i = 0; i <= num1; i++) for (int j = 0; j <= num2; j++) { if (i) { int k = (i - 1) * len1 + j * len2; d[i][j] = max(d[i][j], d[i - 1][j] + a[k + 1] - a[k]); } if (j) { int k = i * len1 + (j - 1) * len2; d[i][j] = max(d[i][j], d[i][j - 1] + a[k + 1] - a[k]); } } printf("%I64d\n", a[n] - a[1] - d[num1][num2]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = (int)1e9 + 70; const long long MOD = 1e9 + 7; const int MAXN = 300005; int gcd(int k, int N) { if (k == 0) return N; return gcd(N % k, k); } int a[MAXN]; int sz; int sp; int k; long long dp[5005][5005]; long long perform(int i, int j) { if (j < 0) return -INF; if (i == k - 1) { if (j == 0 || j == 1) { return 0; } else return -INF; } if (dp[i][j] != -1) return dp[i][j]; int start = sz * i + (sp - j); long long option0 = perform(i + 1, j) + a[start + sz] - a[start + sz - 1]; long long option1 = perform(i + 1, j - 1) + a[start + sz + 1] - a[start + sz]; if (option0 > option1) { dp[i][j] = option0; return option0; } else { dp[i][j] = option1; return option1; } } int main() { if (fopen("input.txt", "r")) freopen("input.txt", "r", stdin); memset(dp, -1, sizeof(dp)); int(N); scanf("%d", &N); cin >> k; sz = N / k; sp = N % k; for (int i = (0); i < (N); i++) { scanf("%d", &(a[i])); } sort(a, a + N); cout << a[N - 1] - a[0] - perform(0, sp) << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 300010; const int MAXK = 5010; const long long INF = 1000ll * 1000 * 1000 * 1000 * 1000 * 1000; int a[MAXN]; long long dp[2][MAXK]; int main() { int n, k; cin >> n >> k; for (int i = 0; i < n; i++) cin >> a[i]; sort(a, a + n); int len = n / k; for (int i = 1; i <= k; i++) for (int j = 0; j <= i; j++) { int cur = i * len + j; if (cur > n) continue; dp[i % 2][j] = INF; if (j <= i - 1) dp[i % 2][j] = min(dp[i % 2][j], dp[(i - 1) % 2][j] + a[cur - 1] - a[cur - len]); if (j > 0) dp[i % 2][j] = min(dp[i % 2][j], dp[(i - 1) % 2][j - 1] + a[cur - 1] - a[cur - len - 1]); } cout << dp[k % 2][n % k] << endl; }
#include <bits/stdc++.h> using namespace std; const long long OO = 0x0101010101010101; class debug_t { public: template <typename T> debug_t& operator<<(const T& o) { return *this; } void end() { *this << "\nExecution Time = " << clock() * 1.0 / CLOCKS_PER_SEC << '\n'; exit(0); } } dout; int dr[] = {0, 0, -1, 1}; int dc[] = {-1, 1, 0, 0}; long long num1, num2; long long len1, len2; long long n, k; long long pre[300005]; long long dp[5005][5005]; long long solve(long long i, long long cnt1, long long cnt2) { if (i >= n) return 0; if (cnt1 > num1) return 1e15; if (cnt2 > num2) return 1e15; long long& ret = dp[cnt1][cnt2]; if (ret + 1) return ret; ret = 0; long long solve1 = 1e15, solve2 = 1e15; if (i + len1 < n) solve1 = pre[i + len1] - pre[i] + solve(i + len1 + 1, cnt1 + 1, cnt2); if (i + len2 < n) solve2 = pre[i + len2] - pre[i] + solve(i + len2 + 1, cnt1, cnt2 + 1); return ret = min(solve1, solve2); } int main() { ios_base::sync_with_stdio(false); memset(dp, -1, sizeof(dp)); cin >> n >> k; for (long long i = 0; i < n; i++) cin >> pre[i]; sort(pre, pre + n); num1 = k - (n % k), num2 = n % k; len1 = n / k - 1, len2 = n / k; cout << solve(0, 0, 0) << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> x(5000); vector<vector<int>> dp(5001, x); vector<int> v; int k; int n; int len; long long make_dp(int pos, int num, int rem) { if (dp[num][rem] != -1) return dp[num][rem]; if (rem == 0) return dp[num][rem] = make_dp(pos + len, num - 1, rem) + abs(v[pos + len] - v[pos + len - 1]); else if (rem == num) return dp[num][rem] = make_dp(pos + len + 1, num - 1, rem - 1) + abs(v[pos + len + 1] - v[pos + len]); else return dp[num][rem] = max(make_dp(pos + len, num - 1, rem) + abs(v[pos + len] - v[pos + len - 1]), make_dp(pos + len + 1, num - 1, rem - 1) + abs(v[pos + len + 1] - v[pos + len])); } int main() { cin >> n >> k; long long ans = 0; len = n / k; for (int i = 0; i < int(n); i++) { int a; cin >> a; v.push_back(a); } sort(v.begin(), v.end()); for (int i = 0; i < int(k + 1); i++) { for (int j = 0; j < int(n % k + 1); j++) dp[i][j] = -1; } dp[1][0] = 0; dp[1][1] = 0; for (int i = 0; i < int(n - 1); i++) ans += v[i + 1] - v[i]; ans -= make_dp(0, k, n % k); cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const long double PI = 3.14159265359; const long long MOD = (long long)998244353ll; const long long MAXN = (long long)3e5 + 10; const long long INF = (long long)1e17; const long double EPS = (long double)1e-8; long long a[MAXN], dp[5100][5100]; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); for (int i = 0; i < 5100; i++) fill(dp[i], dp[i] + 5100, INF); long long n, k; cin >> n >> k; for (int i = 0; i < n; i++) cin >> a[i]; sort(a, a + n); long long re = n % k; long long si = n / k; dp[0][0] = 0; for (int i = 1; i <= k; i++) { dp[i][0] = dp[i - 1][0] + a[i * si - 1] - a[(i - 1) * si]; for (int j = 1; j <= re; j++) { dp[i][j] = min(dp[i - 1][j] + a[i * si - 1 + j] - a[(i - 1) * si + j], dp[i - 1][j - 1] + a[i * si - 1 + j] - a[(i - 1) * si + j - 1]); } } cout << dp[k][re] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 308000, maxk = 5050; int n, k, sum, p, m; int a[maxn], f[maxk][maxk]; int Gcd(int x, int y) { return y == 0 ? x : Gcd(y, x % y); } int main() { while (~scanf("%d%d", &n, &k)) { for (int i = 1; i <= n; ++i) { scanf("%d", &a[i]); } sort(a + 1, a + n + 1); sum = 0; int HH = Gcd(3, 4); for (int i = 1; i <= n; ++i) { a[i] = a[i + 1] - a[i]; int TT = Gcd(5, 100); sum += a[i]; } p = n / k; m = n % k; for (int i = 1; i <= m; ++i) f[i][0] = f[i - 1][0] + a[i * (p + 1)]; int KK = Gcd(100, 205); for (int i = 1; i <= k - m; ++i) f[0][i] = f[0][i - 1] + a[i * p]; int SS = Gcd(4, 5); for (int i = 1; i <= m; ++i) { for (int j = 1; j <= k - m; ++j) { f[i][j] = max(f[i - 1][j], f[i][j - 1]) + a[(i + j) * p + i]; } int GG = Gcd(3, 6); } sum -= f[m][k - m]; int YY = Gcd(7, 9); printf("%d\n", sum); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5100, INF = 1000000007; long long f[MAXN][MAXN], a[300101]; int n, m; bool v[MAXN][MAXN]; int main() { cin >> n >> m; for (int i = 1; i <= n; i++) scanf("%I64d", &a[i]); sort(a + 1, a + n + 1); int p, q; p = n / m; q = n % m; v[0][0] = 1; f[0][0] = 0; for (int i = 1; i <= m; i++) for (int j = 0; j <= q && j <= m; j++) if (v[i - 1][j]) { long long k; k = f[i - 1][j] + a[i * p + j] - a[(i - 1) * p + j + 1]; if (k < f[i][j] || v[i][j] == 0) { f[i][j] = k; v[i][j] = 1; } k = f[i - 1][j] + a[i * p + j + 1] - a[(i - 1) * p + j + 1]; if (j + 1 <= q && (k < f[i][j + 1] || v[i][j + 1] == 0)) { f[i][j + 1] = k; v[i][j + 1] = 1; } } cout << f[m][q] << endl; return 0; }