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#include <bits/stdc++.h> using namespace std; const int N = 210; const int M = 1 << 7; const int INF = 0x3f3f3f3f; const int iinf = 1 << 30; const long long linf = 2e18; const int MOD = 1000000007; const double eps = 1e-7; void print(int x) { cout << x << endl; exit(0); } void PRINT(string x) { cout << x << endl; exit(0); } void douout(double x) { printf("%lf\n", x + 0.0000000001); } int dp[N][M], pre[N][M], vis[N][M]; int hsh[N], maz[N][N]; char g[N][N]; int n, m, k, nn, mm; int dx[] = {0, 0, -1, 1}; int dy[] = {-1, 1, 0, 0}; struct node { int x, dis; }; queue<node> q; void modify(int x, int dis, int w, int fa) { if (dp[x][dis] > w) { dp[x][dis] = w; pre[x][dis] = fa; if (!vis[x][dis]) { q.push((node){x, dis}); vis[x][dis] = 1; } } } void dfs(int X, int dis) { int x = X / m, y = X % m; g[x][y] = 'X'; if (pre[X][dis] == -1) return; int to = pre[X][dis] / 1000, diss = pre[X][dis] % 1000; dfs(to, diss); if (diss - dis) dfs(to, dis - diss); } bool check(int x, int y) { if (x >= 0 && x < n && y >= 0 && y < m) return true; return false; } void getans() { while (!q.empty()) { node nw = q.front(); q.pop(); int now = nw.x, x = nw.x / m, y = nw.x % m, dis = nw.dis; vis[now][dis] = false; for (int i = (0); i <= (3); i++) { int tx = x + dx[i], ty = y + dy[i]; if (!check(tx, ty)) continue; int to = tx * m + ty; modify(to, dis, dp[now][dis] + maz[tx][ty], now * 1000 + dis); } int t = mm - dis - 1; for (int i = t; i; i = (i - 1) & t) { modify(now, i | dis, dp[now][i] + dp[now][dis] - maz[x][y], now * 1000 + dis); } } int ans = iinf, now; for (int i = (0); i <= (nn - 1); i++) if (ans > dp[i][mm - 1]) { ans = dp[i][mm - 1]; now = i; } dfs(now, mm - 1); printf("%d\n", ans); for (int i = (0); i <= (n - 1); i++) { for (int j = (0); j <= (m - 1); j++) cout << g[i][j]; cout << endl; } } signed main() { scanf("%d%d%d", &n, &m, &k); for (int i = (0); i <= (n - 1); i++) { for (int j = (0); j <= (m - 1); j++) { scanf("%d", &maz[i][j]); g[i][j] = '.'; } } nn = n * m; mm = (1 << k); memset(hsh, 0, sizeof(hsh)); memset(vis, 0, sizeof(vis)); for (int i = (0); i <= (nn - 1); i++) for (int j = (0); j <= (mm - 1); j++) dp[i][j] = iinf; for (int i = (0); i <= (k - 1); i++) { int a, b; scanf("%d%d", &a, &b); a--; b--; int id = a * m + b; hsh[id] = 1 << i; modify(id, hsh[id], maz[a][b], -1); } getans(); return 0; }
#include <bits/stdc++.h> using namespace std; const int Nmax = 205, Kmax = 105, Pmax = 7, Inf = 0x3f3f3f3f; const int dx[] = {-1, 0, 1, 0}, dy[] = {0, -1, 0, 1}; int A[Kmax][Kmax]; char B[Kmax][Kmax]; vector<int> G[Nmax]; int N, M, P; int cost[Nmax]; int dist[Nmax][Nmax], from[Nmax][Nmax]; int dp[1 << Pmax][Nmax], pprev[1 << Pmax][Nmax]; bool typer[1 << Pmax][Nmax]; vector<int> specials; int posSp[Nmax]; bool inQueue[Nmax]; inline int getkey(int x, int y) { return (x - 1) * M + y; } inline pair<int, int> getcell(int x) { return make_pair((x - 1) / M + 1, (x - 1) % M + 1); } inline void mark(int x) { pair<int, int> cell = getcell(x); B[cell.first][cell.second] = 'X'; } void getDist(int dist[], int from[], int S) { from[S] = -1; memset(dist, Inf, sizeof(int) * Nmax); dist[S] = cost[S]; queue<int> Q; Q.push(S); while (!Q.empty()) { int node = Q.front(); Q.pop(); inQueue[node] = false; for (int p : G[node]) { if (dist[p] > dist[node] + cost[p]) { dist[p] = dist[node] + cost[p]; from[p] = node; if (!inQueue[p]) { Q.push(p); inQueue[p] = true; } } } } } int getAns(int conf, int node) { int &ans = dp[conf][node]; if (ans != -1) return ans; if (conf == 0) return ans = cost[node]; if (posSp[node] != 0) { int x = posSp[node] - 1; if (conf == (1 << x)) return ans = cost[node]; } ans = Inf; for (int nconf = (conf - 1) & conf; nconf > 0; nconf = (nconf - 1) & conf) { int ccost = getAns(nconf, node) + getAns(conf ^ nconf, node) - cost[node]; if (ccost < ans) { ans = ccost; typer[conf][node] = false; pprev[conf][node] = nconf; } } for (int i = 1; i <= N * M; ++i) { if (i == node) continue; int ccost = getAns(conf, i) + dist[i][node] - cost[i]; if (ccost < ans) { ans = ccost; typer[conf][node] = true; pprev[conf][node] = i; } } return ans; } void fillMatrix(int conf, int node) { mark(node); if ((posSp[node] != 0 && conf == (1 << posSp[node] - 1)) || conf == 0) return; if (typer[conf][node]) { int x = pprev[conf][node]; for (int i = node; i != x; i = from[x][i]) mark(i); fillMatrix(conf, x); } else { int x = pprev[conf][node]; fillMatrix(x, node); fillMatrix(conf ^ x, node); } } int main() { ios::sync_with_stdio(false); cin >> N >> M >> P; for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) cin >> A[i][j]; for (int i = 1; i <= N; ++i) { for (int j = 1; j <= M; ++j) { int k1 = getkey(i, j); cost[k1] = A[i][j]; for (int k = 0; k < 4; ++k) { int nx = i + dx[k], ny = j + dy[k]; if (nx < 1 || nx > N || ny < 1 || ny > M) continue; int k2 = getkey(nx, ny); G[k1].push_back(k2); } } } for (int i = 1; i <= N * M; ++i) { getDist(dist[i], from[i], i); } for (int i = 0; i < P; ++i) { int x, y; cin >> x >> y; int k = getkey(x, y); posSp[k] = i + 1; specials.push_back(k); } memset(dp, -1, sizeof dp); int ans = Inf, conf = (1 << P) - 1, node = 0; for (int i = 1; i <= N * M; ++i) { int cost = getAns(conf, i); if (cost < ans) { ans = cost; node = i; } } for (int i = 1; i <= N; ++i) { for (int j = 1; j <= M; ++j) { B[i][j] = '.'; } } fillMatrix(conf, node); cout << ans << '\n'; for (int i = 1; i <= N; ++i) cout << (B[i] + 1) << '\n'; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200 + 50; const int MAXV = 40000 + 50; const int MAXQ = 1000000 + 50; const int sigma_size = 26; const int inf = 0x3f3f3f3f; const int INF = ~0U >> 1; const int IMIN = 0x80000000; const long long MOD = 1000000000 + 7; const int mod = 10007; const double PI = acos(-1.0); int n, m, k; queue<int> q; int bit[MAXN]; int head[MAXN]; int dp[MAXN][1 << 8]; int in[MAXN][1 << 8]; int pre[MAXN][1 << 8]; int val[MAXN]; int vis[MAXN]; int u, v; struct Edge { int v, next; } e[MAXV]; int num; void adde(int u, int v) { e[num].v = v; e[num].next = head[u]; head[u] = num++; } void init() { num = 0; memset(head, -1, sizeof(head)); memset(dp, 0x3f, sizeof(dp)); memset(pre, 0, sizeof(pre)); memset(bit, 0, sizeof(bit)); memset(vis, 0, sizeof(vis)); memset(in, 0, sizeof(in)); while (!q.empty()) q.pop(); scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { int cnt = i * m + j; scanf("%d", &val[i * m + j]); if (i > 0) adde(cnt, cnt - m); if (i < n - 1) adde(cnt, cnt + m); if (j > 0) adde(cnt, cnt - 1); if (j < m - 1) adde(cnt, cnt + 1); } } for (int i = 0; i < k; i++) { scanf("%d%d", &u, &v); u--, v--; int cnt = u * m + v; bit[cnt] = 1 << i; dp[cnt][bit[cnt]] = val[cnt]; } } void spfa() { while (!q.empty()) { int x = q.front() & 1023, st = q.front() >> 10; in[x][st] = 0; q.pop(); for (int j = head[x]; j != -1; j = e[j].next) { int y = e[j].v, nst = st | bit[y]; if (dp[x][st] + val[y] < dp[y][nst]) { dp[y][nst] = dp[x][st] + val[y]; pre[y][nst] = st << 10 | x; if (st == nst && !in[y][nst]) { in[y][nst] = 1; q.push(nst << 10 | y); } } } } } void getans(int cnt, int mask) { vis[cnt] = 1; int tmp = pre[cnt][mask]; if (!tmp) return; int x = tmp & 1023, st = tmp >> 10; getans(x, st); if (x == cnt) getans(x, (mask - st) | bit[cnt]); } int main() { init(); int nn = (1 << k) - 1; for (int i = 1; i <= nn; i++) { for (int j = 0; j < n * m; j++) { if (bit[j] && !(bit[j] & i)) continue; for (int k = (i - 1) & i; k; k = (k - 1) & i) { if (dp[j][i] > dp[j][k | bit[j]] + dp[j][i - k | bit[j]] - val[j]) { dp[j][i] = dp[j][k | bit[j]] + dp[j][i - k | bit[j]] - val[j]; pre[j][i] = (k | bit[j]) << 10 | j; } } if (dp[j][i] < inf) q.push(i << 10 | j), in[j][i] = 1; } spfa(); } printf("%d\n", dp[u * m + v][nn]); getans(u * m + v, nn); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (vis[i * m + j]) putchar('X'); else putchar('.'); } puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; const int oo = 0x7f7f7f7f; const int MaxK = 7; const int MaxS = 1 << MaxK; const int MaxG = 256; struct Queue { int d[MaxG], s, t; bool empty() { return s == t; } int pop() { int x = d[t++]; if (t >= MaxG) t -= MaxG; return x; } int push(int x) { d[s++] = x; if (s >= MaxG) s -= MaxG; return x; } }; Queue Q; int V[MaxG], mv[4]; int G[MaxS][MaxG]; int F[MaxS][MaxG]; bool inQ[MaxG]; char mp[MaxG]; void check(int x, int s, int r, int m) { if (r < G[s][x]) { G[s][x] = r; F[s][x] = m; if (!inQ[x]) inQ[Q.push(x)] = true; } } void dfs(int s, int d) { if (s == 0) return; mp[d] = 'X'; int f = F[s][d]; if (f > 0) { int u = s ^ f; if (u > 0) { dfs(f, d); dfs(s ^ f, d); } } else { dfs(s, d - mv[-f]); } } int main() { for (int N, M, K; scanf("%d%d%d", &N, &M, &K) != EOF && N;) { int NM = N * M; for (int i = 0, k = 0; i < N; i++) for (int j = 0; j < M; j++, k++) scanf("%d", &V[k]); int g = 1 << K; for (int s = 0; s < g; s++) memset(G[s], 0x7f, sizeof(G[s][0]) * NM); for (int i = 0; i < K; i++) { int x, y; scanf("%d%d", &x, &y); int k = x * M + y - M - 1; G[1 << i][k] = 0; F[1 << i][k] = 1 << i; } mv[0] = -M, mv[1] = M; mv[2] = -1, mv[3] = 1; for (int s = 1; s < g; s++) { for (int i = 0; i < NM; i++) { int &cr = G[s][i]; int u = (s - 1) & s; while (u) { int cd = G[u][i] + G[s ^ u][i]; if (cd < cr) { cr = cd; F[s][i] = u; } u = (u - 1) & s; } if (cr < oo) inQ[Q.push(i)] = true; } while (!Q.empty()) { int x = Q.pop(); int cd = G[s][x] + V[x]; inQ[x] = false; if (x >= M) check(x - M, s, cd, -0); if (x + M < NM) check(x + M, s, cd, -1); if (x % M != 0) check(x - 1, s, cd, -2); if ((x + 1) % M != 0) check(x + 1, s, cd, -3); } } int Res = oo, ri = -1; for (int i = 0; i < NM; i++) { int cd = G[g - 1][i] + V[i]; if (cd < Res) Res = cd, ri = i; } printf("%d\n", Res); memset(mp, '.', sizeof(mp[0]) * NM); dfs(g - 1, ri); for (int i = 0; i < NM; i += M) { char c = mp[i + M]; mp[i + M] = '\0'; puts(mp + i); mp[i + M] = c; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k, cnt = 0; queue<int> q; int st[205], val[205]; int dp[205][128]; struct node { int k, a, b; } trans[205][128]; bool vis[105][105]; void getans(int a, int b) { if (a == 0 || b == 0) { return; } int x = a / m, y = a % m; x++; if (y == 0) { y = m; x--; } vis[x][y] = 1; if (trans[a][b].k == 2) { getans(trans[a][b].a, trans[a][b].b); } if (trans[a][b].k == 1) { getans(a, trans[a][b].a); getans(a, trans[a][b].b); } } inline void spfa() { while (!q.empty()) { int t = q.front() / 1000, sta = q.front() % 1000; q.pop(); if (t - m > 0) { if (dp[t - m][(sta | st[t - m])] > dp[t][sta] + val[t - m]) { dp[t - m][(sta | st[t - m])] = dp[t][sta] + val[t - m]; trans[t - m][(sta | st[t - m])].k = 2; trans[t - m][(sta | st[t - m])].a = t; trans[t - m][(sta | st[t - m])].b = sta; int id = (t - m) * 1000 + (sta | st[t - m]); q.push(id); } } if (t + m <= n * m) { if (dp[t + m][(sta | st[t + m])] > dp[t][sta] + val[t + m]) { dp[t + m][(sta | st[t + m])] = dp[t][sta] + val[t + m]; trans[t + m][(sta | st[t + m])].k = 2; trans[t + m][(sta | st[t + m])].a = t; trans[t + m][(sta | st[t + m])].b = sta; int id = (t + m) * 1000 + (sta | st[t + m]); q.push(id); } } if (t % m != 1) { if (dp[t - 1][(sta | st[t - 1])] > dp[t][sta] + val[t - 1]) { dp[t - 1][(sta | st[t - 1])] = dp[t][sta] + val[t - 1]; trans[t - 1][(sta | st[t - 1])].k = 2; trans[t - 1][(sta | st[t - 1])].a = t; trans[t - 1][(sta | st[t - 1])].b = sta; int id = (t - 1) * 1000 + (sta | st[t - 1]); q.push(id); } } if (t % m != 0) { if (dp[t + 1][(sta | st[t + 1])] > dp[t][sta] + val[t + 1]) { dp[t + 1][(sta | st[t + 1])] = dp[t][sta] + val[t + 1]; trans[t + 1][(sta | st[t + 1])].k = 2; trans[t + 1][(sta | st[t + 1])].a = t; trans[t + 1][(sta | st[t + 1])].b = sta; int id = (t + 1) * 1000 + (sta | st[t + 1]); q.push(id); } } } } int main() { int i, j, p, x, y; scanf("%d%d%d", &n, &m, &k); for (i = 1; i <= n * m; i++) { scanf("%d", &val[i]); } memset(dp, 0x2f, sizeof(dp)); for (i = 1; i <= k; i++) { scanf("%d%d", &x, &y); int id = (x - 1) * m + y; st[id] = (1 << cnt); dp[id][st[id]] = val[id]; cnt++; } int msk = (1 << cnt) - 1; for (j = 1; j <= msk; j++) { while (!q.empty()) { q.pop(); } for (i = 1; i <= n * m; i++) { if (st[i] && (!(st[i] & j))) { continue; } for (p = (j - 1) & j; p; p = (p - 1) & j) { int s1 = p | st[i], s2 = (j - p) | st[i]; int tp = dp[i][s1] + dp[i][s2] - val[i]; if (tp < dp[i][j]) { dp[i][j] = tp; trans[i][j].k = 1; trans[i][j].a = s1; trans[i][j].b = s2; } } if (dp[i][j] < 1000000000) { q.push(i * 1000 + j); } } spfa(); } int minn = 1000000000, tra; for (i = 1; i <= n * m; i++) { if (dp[i][msk] < minn) { minn = dp[i][msk]; tra = i; } } printf("%d\n", minn); getans(tra, msk); for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { if (vis[i][j]) { printf("X"); } else { printf("."); } } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; struct father { int type, num; father(){}; father(int type, int num) : type(type), num(num){}; }; const int N = 205; const int maxn = 130; const int INF = 123456789; int n, m, k; int a[N], d[10]; int dp[maxn][N]; int ans[N], Ans; father p[maxn][N]; priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > pq; void paint(int msk, int index) { father cur = p[msk][index]; ans[index] = 1; if (cur.type == -1) return; if (!cur.type) { paint(cur.num, index); paint(cur.num ^ msk, index); } else paint(msk, cur.num); } void dijkstra(int msk) { while (!pq.empty()) pq.pop(); for (int i = 0; i < n * m; i++) if (dp[msk][i] != INF) pq.push(pair<int, int>(dp[msk][i], i)); while (!pq.empty()) { pair<int, int> cur = pq.top(); pq.pop(); if (dp[msk][cur.second] != cur.first) continue; father fa = father(1, cur.second); if ((cur.second + 1) % m != 0 && dp[msk][cur.second + 1] > cur.first + a[cur.second + 1]) { dp[msk][cur.second + 1] = cur.first + a[cur.second + 1]; p[msk][cur.second + 1] = fa; pq.push(pair<int, int>(dp[msk][cur.second + 1], cur.second + 1)); } if (cur.second % m != 0 && dp[msk][cur.second - 1] > cur.first + a[cur.second - 1]) { dp[msk][cur.second - 1] = cur.first + a[cur.second - 1]; p[msk][cur.second - 1] = fa; pq.push(pair<int, int>(dp[msk][cur.second - 1], cur.second - 1)); } if (cur.second + m < n * m && dp[msk][cur.second + m] > cur.first + a[cur.second + m]) { dp[msk][cur.second + m] = cur.first + a[cur.second + m]; p[msk][cur.second + m] = fa; pq.push(pair<int, int>(dp[msk][cur.second + m], cur.second + m)); } if (cur.second >= m && dp[msk][cur.second - m] > cur.first + a[cur.second - m]) { dp[msk][cur.second - m] = cur.first + a[cur.second - m]; p[msk][cur.second - m] = fa; pq.push(pair<int, int>(dp[msk][cur.second - m], cur.second - m)); } } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < m * n; i++) scanf("%d", a + i); for (int i = 0; i < k; i++) { int x, y; scanf("%d%d", &x, &y); x--; y--; d[i] = x * m + y; } for (int i = 0; i < maxn; i++) for (int j = 0; j < N; j++) dp[i][j] = INF; for (int i = 0; i < k; i++) { dp[1 << i][d[i]] = a[d[i]]; p[1 << i][d[i]] = father(-1, 0); } for (int msk = 1; msk < (1 << k); msk++) { for (int i = 0; i < n * m; i++) for (int cur = msk; cur > 0; cur = (cur - 1) & msk) { if (dp[cur][i] != INF && dp[cur ^ msk][i] != INF && dp[msk][i] > dp[cur][i] + dp[cur ^ msk][i] - a[i]) { dp[msk][i] = dp[cur][i] + dp[cur ^ msk][i] - a[i]; p[msk][i] = father(0, cur); } } dijkstra(msk); } for (int i = 1; i < n * m; i++) if (dp[(1 << k) - 1][i] < dp[(1 << k) - 1][Ans]) Ans = i; printf("%d\n", dp[(1 << k) - 1][Ans]); paint((1 << k) - 1, Ans); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) if (ans[i * m + j]) putchar('X'); else putchar('.'); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k, a[105][105], tot; int xi, yi, imp[10]; int dist[205][205], mdist[205][205]; int dp[1 << 7][205], parent[1 << 7][205]; bool paved[205]; void paveroad(int u, int v) { if (dist[u][v] == 0) return; paved[mdist[u][v]] = true; paveroad(u, mdist[u][v]); paveroad(mdist[u][v], v); } void pavegarden(int mask, int u) { if ((mask & (mask - 1)) == 0) { paveroad(imp[parent[mask][u]], u); } else { if (parent[mask][u] > tot) { int submask = parent[mask][u] - tot; pavegarden(submask, u); pavegarden(mask ^ submask, u); } else { int v = parent[mask][u]; paved[v] = true; paveroad(u, v); pavegarden(mask, v); } } } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &a[i][j]); int sum_important = 0; for (int i = 0; i < k; i++) { scanf("%d %d", &xi, &yi); xi--, yi--; imp[i] = xi * m + yi; sum_important += a[xi][yi]; a[xi][yi] = 0; } memset(dist, 63, sizeof dist); tot = n * m; for (int u = 0; u < tot; u++) for (int v = 0; v < tot; v++) if (abs(u % m - v % m) + abs(u / m - v / m) <= 1) dist[u][v] = 0; for (int i = 0; i < tot; i++) for (int u = 0; u < tot; u++) for (int v = 0; v < tot; v++) { int ndist = dist[u][i] + a[i / m][i % m] + dist[i][v]; if (ndist < dist[u][v]) { dist[u][v] = ndist; mdist[u][v] = i; } } memset(dp, 63, sizeof dp); for (int mask = 1; mask < (1 << k); mask++) { if ((mask & (mask - 1)) == 0) { int i = 0; while (i < k && ((mask & (1 << i)) == 0)) i++; for (int u = 0; u < tot; u++) { dp[mask][u] = dist[u][imp[i]]; parent[mask][u] = i; } } else { for (int submask = mask - 1; submask > 0; submask = (submask - 1) & mask) for (int u = 0; u < tot; u++) { if (dp[mask][u] > dp[submask][u] + dp[mask ^ submask][u]) { dp[mask][u] = dp[submask][u] + dp[mask ^ submask][u]; parent[mask][u] = tot + submask; } } for (int u = 0; u < tot; u++) for (int v = 0; v < tot; v++) { if (dp[mask][u] > dp[mask][v] + a[v / m][v % m] + dist[u][v]) { dp[mask][u] = dp[mask][v] + a[v / m][v % m] + dist[u][v]; parent[mask][u] = v; } } } } int best = 1 << 30, bestu; for (int u = 0; u < tot; u++) { if (best > dp[(1 << k) - 1][u] + a[u / m][u % m]) { best = dp[(1 << k) - 1][u] + a[u / m][u % m]; bestu = u; } } pavegarden((1 << k) - 1, bestu); paved[bestu] = true; for (int i = 0; i < k; i++) paved[imp[i]] = true; printf("%d\n", best + sum_important); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (paved[i * m + j]) printf("X"); else printf("."); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int c[4][2] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}}; int a[110][100], id[110][110], to[210][2], f[210][130], pre[210][130][4]; char b[110][110]; inline bool update(int x1, int y1, int x2, int y2, int value) { int y = y1 | y2; if (f[x1][y1] + f[x2][y2] + value < f[x2][y]) { f[x2][y] = f[x1][y1] + f[x2][y2] + value; pre[x2][y][0] = x1; pre[x2][y][1] = y1; pre[x2][y][2] = x2; pre[x2][y][3] = y2; return (true); } return (false); } void print(int x, int y) { if (x == 0) return; b[to[x][0]][to[x][1]] = 'X'; print(pre[x][y][0], pre[x][y][1]); print(pre[x][y][2], pre[x][y][3]); } queue<int> Q; bool in[210]; void spfa(int P, int n, int m) { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) Q.push(id[i][j]); while (!Q.empty()) { int x0 = to[Q.front()][0], y0 = to[Q.front()][1]; in[Q.front()] = false; Q.pop(); for (int i = 0; i < 4; i++) { int x = x0 + c[i][0], y = y0 + c[i][1]; if (x == 0 || x > n || y == 0 || y > m) continue; if (update(id[x0][y0], P, id[x][y], 0, a[x][y]) && !in[id[x][y]]) { in[id[x][y]] = true; Q.push(id[x][y]); } } } } int main() { int n, m, K; scanf("%d%d%d", &n, &m, &K); int t = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { scanf("%d", &a[i][j]); t++; id[i][j] = t; to[t][0] = i, to[t][1] = j; b[i][j] = '.'; } memset(f, 63, sizeof(f)); int inf = f[0][0]; for (int i = 1; i <= t; i++) f[i][0] = 0; for (int i = 0; i < K; i++) { int x, y; scanf("%d%d", &x, &y); f[id[x][y]][1 << i] = a[x][y]; } for (int i = 1; i < 1 << K; i++) { spfa(i, n, m); for (int j = 1; j <= n; j++) for (int k = 1; k <= m; k++) { if (f[id[j][k]][i] == inf) continue; for (int l = 1; l < 1 << K; l++) { if (i & l) continue; if (j < n) update(id[j][k], i, id[j + 1][k], l, 0); if (k < m) update(id[j][k], i, id[j][k + 1], l, 0); if (j > 1) update(id[j][k], i, id[j - 1][k], l, 0); if (k > 1) update(id[j][k], i, id[j][k - 1], l, 0); } } } int ans = inf, k; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (f[id[i][j]][(1 << K) - 1] < ans) { ans = f[id[i][j]][(1 << K) - 1]; k = id[i][j]; } printf("%d\n", ans); print(k, (1 << K) - 1); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) printf("%c", b[i][j]); printf("\n"); } return (0); }
#include <bits/stdc++.h> int n, m, k, p, a[7], c[205][205], z[205][205], d[128][205], h[128][205], f[128][205], A = 1 << 29, R; char o[205]; void fp(int i, int j) { int t = z[i][j]; if (t < 0) return; o[t] = 'X'; fp(i, t); fp(t, j); } void trace(int i, int j) { o[j] = 'X'; if (h[i][j] >= 0) { trace(h[i][j], j); trace(i ^ h[i][j], j); } if (f[i][j] >= 0 && f[i][j] != j) { fp(j, f[i][j]); trace(i, f[i][j]); } return; } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = (0); i < (n * m); i++) for (int j = (0); j < (n * m); j++) c[i][j] = 1 << 29, z[i][j] = -1; for (int i = (0); i < (1 << k); i++) for (int j = (0); j < (n * m); j++) d[i][j] = 1 << 29, h[i][j] = f[i][j] = -1; for (int i = (0); i < (n * m); i++) o[i] = '.'; for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { scanf("%d", &c[p][p]); p++; } p = 0; for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { if (j < m - 1) c[p][p + 1] = c[p + 1][p] = c[p][p] + c[p + 1][p + 1]; if (i < n - 1) c[p][p + m] = c[p + m][p] = c[p][p] + c[p + m][p + m]; p++; } for (int t = (0); t < (p); t++) for (int i = (0); i < (p); i++) for (int j = (i + 1); j < (p); j++) if (c[i][j] > c[i][t] + c[t][j] - c[t][t]) c[i][j] = c[j][i] = c[i][t] + c[t][j] - c[t][t], z[i][j] = z[j][i] = t; for (int i = (0); i < (k); i++) { int x, y; scanf("%d %d", &x, &y); a[i] = (x - 1) * m + y - 1; for (int j = (0); j < (p); j++) d[1 << i][j] = c[a[i]][j], f[1 << i][j] = a[i]; } for (int i = (3); i < (1 << k); i++) { if ((i & -i) == i) continue; for (int j = (0); j < (p); j++) for (int t = i - 1 & i; t; t = t - 1 & i) if (d[i][j] > d[t][j] + d[t ^ i][j] - c[j][j]) d[i][j] = d[t][j] + d[t ^ i][j] - c[j][j], h[i][j] = t; for (int j = (0); j < (p); j++) for (int t = (0); t < (p); t++) if (d[i][j] > d[i][t] + c[t][j] - c[t][t]) d[i][j] = d[i][t] + c[t][j] - c[t][t], f[i][j] = t, h[i][j] = -1; } printf("%d\n", d[(1 << k) - 1][a[0]]); trace((1 << k) - 1, a[0]); for (int i = (0); i < (p); i++) { putchar(o[i]); if (i % m == m - 1) putchar('\n'); } scanf("\n"); }
#include <bits/stdc++.h> using namespace std; int n, m, k, best = INT_MAX, now, x[7], y[7], a[100][100], f[1 << 7][100][100], path[1 << 7][100][100][3]; int dx[4] = {0, 1, 0, -1}; int dy[4] = {-1, 0, 1, 0}; inline void update(int mask) { queue<pair<int, int> > q; bool mark[n][m]; memset(mark, false, sizeof(mark)); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (f[mask][i][j] < 1000000000) { q.push(make_pair(i, j)); mark[i][j] = true; } for (; !q.empty(); q.pop()) { pair<int, int> head = q.front(); for (int i = 0; i < 4; i++) { pair<int, int> next; next.first = head.first + dx[i], next.second = head.second + dy[i]; if (next.first >= 0 && next.first < n && next.second >= 0 && next.second < m) { int tmp = f[mask][head.first][head.second] + a[next.first][next.second]; if (tmp < f[mask][next.first][next.second]) { f[mask][next.first][next.second] = tmp; path[mask][next.first][next.second][0] = 0; path[mask][next.first][next.second][1] = head.first; path[mask][next.first][next.second][2] = head.second; if (!mark[next.first][next.second]) { q.push(next); mark[next.first][next.second] = true; } } } } mark[head.first][head.second] = false; } } void modify(int x, int y, int mask) { a[x][y] = 0; if (path[mask][x][y][0] == 0) modify(path[mask][x][y][1], path[mask][x][y][2], mask); if (path[mask][x][y][0] == 1) modify(x, y, path[mask][x][y][1]), modify(x, y, path[mask][x][y][2]); } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { scanf("%d", &a[i][j]); for (int mask = 0; mask < 1 << k; mask++) f[mask][i][j] = 1000000000; } for (int i = 0; i < k; i++) { scanf("%d%d", &x[i], &y[i]); x[i]--; y[i]--; f[1 << i][x[i]][y[i]] = a[x[i]][y[i]]; path[1 << i][x[i]][y[i]][0] = 2; } for (int mask = 1; mask < 1 << k; mask++) { for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int submask = mask; submask > 0; submask = mask & (submask - 1)) { int tmp = f[submask][i][j] + f[mask ^ submask][i][j] - a[i][j]; if (tmp < f[mask][i][j]) { f[mask][i][j] = tmp; path[mask][i][j][0] = 1; path[mask][i][j][1] = submask; path[mask][i][j][2] = mask ^ submask; } } update(mask); } int sx, sy; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (f[(1 << k) - 1][i][j] < best) { best = f[(1 << k) - 1][i][j]; sx = i, sy = j; } modify(sx, sy, (1 << k) - 1); printf("%d\n", best); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) if (a[i][j] > 0) printf("."); else printf("X"); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 220; const int INF = 1000000000; int n, m, k; int cnt; int val[MAXN][MAXN], id[MAXN][MAXN]; int pos[MAXN * MAXN][2]; int f[1 << 7][MAXN], path[1 << 7][MAXN][2]; bool inQ[1 << 7][MAXN]; queue<int> Q; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; void Update(int i, int j, int val, int pa, int pb) { if (f[i][j] <= val) return; f[i][j] = val; path[i][j][0] = pa, path[i][j][1] = pb; if (!inQ[i][j]) { inQ[i][j] = 1; Q.push(i); Q.push(j); } } bool in(int x, int y) { if (x >= 1 && x <= n && y >= 1 && y <= m) return 1; return 0; } char mp[MAXN][MAXN]; bool mark[1 << 7][MAXN]; void DFS(int a, int b) { if (mark[a][b]) return; mark[a][b] = 1; int x = pos[b][0], y = pos[b][1]; mp[x][y] = 'X'; int pa = path[a][b][0], pb = path[a][b][1]; if (pb < 0) return; if (pb == b) { DFS(pa, pb); DFS(a - pa, pb); } else DFS(pa, pb); } int main() { while (~scanf("%d%d%d", &n, &m, &k)) { cnt = 0; memset(f, 0x3f, sizeof(f)); memset(inQ, 0, sizeof(inQ)); while (!Q.empty()) Q.pop(); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) { scanf("%d", val[i] + j); id[i][j] = ++cnt; pos[cnt][0] = i; pos[cnt][1] = j; } for (int i = 1; i <= k; ++i) { int x, y; scanf("%d%d", &x, &y); Update(1 << (i - 1), id[x][y], val[x][y], -1, -1); } while (!Q.empty()) { int a = Q.front(); Q.pop(); int b = Q.front(); Q.pop(); inQ[a][b] = 0; for (int i = 0; i < 4; ++i) { int nx = pos[b][0] + dx[i], ny = pos[b][1] + dy[i]; if (!in(nx, ny)) continue; Update(a, id[nx][ny], f[a][b] + val[nx][ny], a, b); } int tot = (1 << k) - 1 - a; for (int i = tot; i; i = (i - 1) & tot) Update(a | i, b, f[a][b] + f[i][b] - val[pos[b][0]][pos[b][1]], a, b); } int minx = INF; int minj; for (int j = 1; j <= cnt; ++j) { if (f[(1 << k) - 1][j] < minx) { minx = f[(1 << k) - 1][j]; minj = j; } } printf("%d\n", minx); memset(mark, 0, sizeof(mark)); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) mp[i][j] = '.'; DFS((1 << k) - 1, minj); for (int i = 1; i <= n; ++i) { for (int j = 1; j <= m; ++j) printf("%c", mp[i][j]); puts(""); } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int g[100][100], h[100][100]; int imp[7][2]; int d[200][200]; int f[1 << 7][200], p[1 << 7][200][4]; void update(int con, int v, int x, int con2, int v2, int con3 = -1, int v3 = -1) { if (x < f[con][v]) { f[con][v] = x; p[con][v][0] = con2; p[con][v][1] = v2; p[con][v][2] = con3; p[con][v][3] = v3; } } int r[100][100]; void getpath(int i, int j) { int yi = i / m, xi = i % m, yj = j / m, xj = j % m; int dist = abs(yi - yj) + abs(xi - xj); if (dist <= 1) { r[yi][xi] = 1; r[yj][xj] = 1; } else { for (int v = 0; v < n * m; v++) if (v != i && v != j) { int yv = v / m, xv = v % m; if (d[i][v] + d[v][j] - g[yv][xv] == d[i][j]) { getpath(i, v); getpath(v, j); break; } } } } void reconstruct(int con, int v) { int nodes = 0, ni = -1; for (int i = 0; i < k; i++) if (con & (1 << i)) { nodes++; ni = i; } if (nodes == 1) { int y = imp[ni][0], x = imp[ni][1]; int id = y * m + x; getpath(v, id); } else { int con1 = p[con][v][0], v1 = p[con][v][1]; int con2 = p[con][v][2], v2 = p[con][v][3]; if (con2 != -1) { reconstruct(con1, v1); reconstruct(con2, v2); } else { getpath(v, v1); reconstruct(con1, v1); } } } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &g[i][j]); for (int i = 0; i < k; i++) { scanf("%d %d", &imp[i][0], &imp[i][1]); imp[i][0]--; imp[i][1]--; h[imp[i][0]][imp[i][1]] = i + 1; } for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) { int yi = i / m, xi = i % m, yj = j / m, xj = j % m; d[i][j] = 999999999; int dist = abs(yi - yj) + abs(xi - xj); if (dist == 0) d[i][j] = g[yi][xi]; if (dist == 1) d[i][j] = g[yi][xi] + g[yj][xj]; } for (int a = 0; a < n * m; a++) { int r = a / m, c = a % m; for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) { d[i][j] = min(d[i][j], d[i][a] + d[a][j] - g[r][c]); ; } } for (int con = 1; con < (1 << k); con++) { int nodes = 0, ni = -1; for (int i = 0; i < k; i++) if (con & (1 << i)) { nodes++; ni = i; } for (int v = 0; v < n * m; v++) { int &ff = f[con][v]; ff = 999999999; if (nodes == 1) { int y = imp[ni][0], x = imp[ni][1]; int id = y * m + x; ff = d[v][id]; } } for (int v = 0; v < n * m; v++) { int vi = v / m, vj = v % m; int &ff = f[con][v]; for (int sub = (con - 1) & con; sub > 0; sub = (sub - 1) & con) { update(con, v, f[sub][v] + f[con ^ sub][v] - g[vi][vj], sub, v, con ^ sub, v); } } for (int v = 0; v < n * m; v++) { int &ff = f[con][v]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int u = i * m + j; int val = f[con][u] + d[v][u] - g[i][j]; update(con, v, val, con, u); } } } int y0 = imp[0][0], x0 = imp[0][1]; int id0 = y0 * m + x0; printf("%d\n", f[(1 << k) - 1][id0]); reconstruct((1 << k) - 1, id0); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (r[i][j] == 1) printf("X"); else printf("."); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; char CRTBUFF[30000]; struct debugger { static void call(const char* it) {} template <typename T, typename... aT> static void call(const char* it, T a, aT... rest) { string b; for (; *it && *it != ','; ++it) if (*it != ' ') b += *it; cout << b << "=" << a << " "; call(++it, rest...); } }; const int dx[] = {0, 0, +1, -1}; const int dy[] = {-1, +1, 0, 0}; int n, m, k, nn; int A[220][220], imp[220], vis[220][220]; int dp[200][1000 + 10]; pair<pair<int, int>, pair<int, int> > node[200][1000 + 10]; vector<pair<int, int> > G[1000 + 10]; bool isValid(int x, int y) { return (0 <= x && x < n) && (0 <= y && y < m); } int in(int x) { return 2 * x; } int out(int x) { return 2 * x + 1; } void spfa(int mask) { queue<int> que; for (int u = (0); u < (nn); u += (1)) que.push(u); while (!que.empty()) { int u = que.front(); que.pop(); for (auto it : G[u]) { int v = it.first, w = it.second; if (dp[mask][u] + w < dp[mask][v]) { dp[mask][v] = dp[mask][u] + w; node[mask][v] = {{mask, u}, {-1, -1}}; que.push(v); } } } } void dfs(int mask, int u) { if (mask == -1 || u == -1) return; int x = (u / 2) / m, y = (u / 2) % m; vis[x][y] = true; dfs(node[mask][u].first.first, node[mask][u].first.second); dfs(node[mask][u].second.first, node[mask][u].second.second); } int main() { { ios_base::sync_with_stdio(false); cin.tie(NULL); }; while (cin >> n >> m >> k) { memset(G, 0, sizeof(G)); memset(vis, 0, sizeof(vis)); for (int i = (0); i < (n); i += (1)) for (int j = (0); j < (m); j += (1)) cin >> A[i][j]; for (int i = (0); i < (k); i += (1)) { int x, y; cin >> x >> y; x--, y--; imp[i] = out(x * m + y); } for (int x = (0); x < (n); x += (1)) for (int y = (0); y < (m); y += (1)) { int u = x * m + y; G[out(u)].push_back({in(u), A[x][y]}); for (int i = (0); i < (4); i += (1)) { int nx = x + dx[i], ny = y + dy[i]; if (isValid(nx, ny)) { int v = nx * m + ny; G[in(v)].push_back({out(u), 0}); } } } nn = 2 * n * m; int lim = 1 << k; for (int mask = (0); mask < (lim); mask += (1)) for (int u = (0); u < (nn); u += (1)) dp[mask][u] = 1000000000, node[mask][u] = {{-1, -1}, {-1, -1}}; for (int i = (0); i < (k); i += (1)) dp[1 << i][imp[i]] = 0; for (int mask = (0); mask < (lim); mask += (1)) { for (int u = (0); u < (nn); u += (1)) { for (int sm = mask; sm > 0; sm = (sm - 1) & mask) { if (dp[sm][u] + dp[sm ^ mask][u] < dp[mask][u]) { dp[mask][u] = dp[sm][u] + dp[sm ^ mask][u]; node[mask][u] = {{sm, u}, {sm ^ mask, u}}; } } } spfa(mask); } int ans = 1000000000; for (int x = (0); x < (n); x += (1)) for (int y = (0); y < (m); y += (1)) ans = min(ans, dp[lim - 1][in(x * m + y)]); for (int x = (0); x < (n); x += (1)) for (int y = (0); y < (m); y += (1)) { if (dp[lim - 1][in(x * m + y)] == ans) { dfs(lim - 1, in(x * m + y)); goto out; } } out: cout << ans << "\n"; for (int x = (0); x < (n); x += (1)) { for (int y = (0); y < (m); y += (1)) if (vis[x][y]) cout << 'X'; else cout << '.'; cout << "\n"; } } return 0; }
#include <bits/stdc++.h> using namespace std; int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 3) + (x << 1) + (ch ^ 48); ch = getchar(); } return x * f; } int n, m, k, a[205][205], v[205 * 205], head[205 * 205], nxt[205 * 205], cnt, f[205][1 << 8], pre[205][1 << 8], ans[205], p[205], tot, vis[205][1 << 8]; void add(int a, int b) { v[++cnt] = b; nxt[cnt] = head[a]; head[a] = cnt; } pair<int, int> Get(int x) { if (x % m == 0) return make_pair(x / m, m); return make_pair((x - x % m) / m + 1, x % m); } void dij(int S) { priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > q; for (int i = 1; i <= tot; i++) q.push(make_pair(f[p[i]][S], p[i])); while (!q.empty()) { int c = q.top().second; q.pop(); for (int i = head[c]; i; i = nxt[i]) { pair<int, int> ID = Get(v[i]); if (f[v[i]][S] > f[c][S] + a[ID.first][ID.second]) { f[v[i]][S] = f[c][S] + a[ID.first][ID.second]; pre[v[i]][S] = c; q.push(make_pair(f[v[i]][S], v[i])); } } } } void dfs(int x, int S) { if (vis[x][S]) return; pair<int, int> ID = Get(x); vis[x][S] = 1; ans[x] = 1; if (pre[x][S] && f[pre[x][S]][S] + a[ID.first][ID.second] == f[x][S]) { int now = pre[x][S]; while (now) { dfs(now, S); now = pre[now][S]; } } for (int S0 = 0; S0 <= S; S0++) { if ((S0 | S) != S) continue; if (f[x][S0] + f[x][S - S0] - a[ID.first][ID.second] != f[x][S]) continue; dfs(x, S0); dfs(x, S - S0); break; } } int main() { memset(f, 0x3f, sizeof(f)); n = read(); m = read(); k = read(); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { a[i][j] = read(); if (i > 1) add(((i - 1) * m + j), ((i - 1 - 1) * m + j)); if (i < n) add(((i - 1) * m + j), ((i + 1 - 1) * m + j)); if (j > 1) add(((i - 1) * m + j), ((i - 1) * m + j - 1)); if (j < m) add(((i - 1) * m + j), ((i - 1) * m + j + 1)); } } int rt = 0; for (int i = 1; i <= k; i++) { int x = read(), y = read(); if (!rt) rt = ((x - 1) * m + y); f[((x - 1) * m + y)][1 << (i - 1)] = a[x][y]; } for (int S = 1; S < (1 << k); S++) { tot = 0; for (int i = 1; i <= n * m; i++) { for (int S0 = 0; S0 < S; S0++) { if ((S0 | S) != S) continue; pair<int, int> ID = Get(i); f[i][S] = min(f[i][S], f[i][S0] + f[i][S - S0] - a[ID.first][ID.second]); } if (f[i][S] != 0x3f3f3f3f) p[++tot] = i; } dij(S); } printf("%d\n", f[rt][(1 << k) - 1]); dfs(rt, (1 << k) - 1); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (ans[((i - 1) * m + j)]) putchar('X'); else putchar('.'); } puts(""); } }
#include <bits/stdc++.h> using namespace std; int n, m, col, row, t, x, y, ret, root; int u[10], d[205][205], df[205][205], used[205]; int dp[205][1000], pf[205][1000], bf[205][1000]; void mkpath(int x, int y) { if (df[x][y] == -1) { used[x] = used[y] = 1; return; } mkpath(x, df[x][y]); mkpath(df[x][y], y); } void trace(int x, int y) { if ((y & -y) == y || pf[x][y] != -1) { if (pf[x][y] != -1) mkpath(x, pf[x][y]), trace(pf[x][y], y); else { int t = -1; for (int i = 0; t == -1; i++) if ((1 << i) == y) t = i; mkpath(x, u[t]); return; } } else { trace(x, bf[x][y]); trace(x, y - bf[x][y]); } } int main() { scanf("%d%d%d", &row, &col, &m); n = row * col; memset(d, 63, sizeof(d)); t = 0; for (int i = 0; i < row; i++) for (int j = 0; j < col; j++) scanf("%d", &d[t][t]), t++; memset(df, -1, sizeof(df)); for (int i = 0; i < row; i++) for (int j = 0; j < col; j++) { t = i * col + j; if (j > 0) d[t][t - 1] = d[t][t] + d[t - 1][t - 1]; if (j < col - 1) d[t][t + 1] = d[t][t] + d[t + 1][t + 1]; if (i > 0) d[t][t - col] = d[t][t] + d[t - col][t - col]; if (i < row - 1) d[t][t + col] = d[t][t] + d[t + col][t + col]; } for (int i = 0; i < m; i++) { scanf("%d%d", &x, &y); x--, y--; u[i] = x * col + y; } for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { t = d[i][k] + d[k][j] - d[k][k]; if (t < d[i][j]) { d[i][j] = t; df[i][j] = k; } } memset(pf, -1, sizeof(pf)); memset(bf, -1, sizeof(bf)); for (int i = 0; i < n; i++) { dp[i][0] = 0; for (int j = 0; j < m; j++) dp[i][1 << j] = d[i][u[j]]; } for (int i = 1; i < (1 << m); i++) { if ((i & -i) == i) continue; for (int j = 0; j < n; j++) { dp[j][i] = (1 << 28); for (int k = (i - 1) & i; k > 0; k = (k - 1) & i) if ((i | k) == i) { t = dp[j][k] + dp[j][i - k] - d[j][j]; if (t < dp[j][i]) { dp[j][i] = t; bf[j][i] = i - k; } } } for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) { t = dp[k][i] + d[j][k] - d[k][k]; if (t < dp[j][i]) { dp[j][i] = t; pf[j][i] = k; } } } ret = (1 << 30); for (int i = 0; i < n; i++) { if (dp[i][(1 << m) - 1] < ret) { ret = dp[i][(1 << m) - 1]; root = i; } } printf("%d\n", ret); trace(root, (1 << m) - 1); t = 0; for (int i = 0; i < row; i++) { for (int j = 0; j < col; j++) printf("%c", used[t] ? 'X' : '.'), t++; printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int ans = 2e9, cnt, n, m, k, X, Y, a[110][110], Ans[110][110], dis[110][110][130], path[110][110][130][3]; int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; bool vis[110][110][130]; struct point { int x, y, mask; bool operator<(const point &tmp) const { return mask < tmp.mask; } }; queue<point> q; void draw(int x, int y, int mask) { Ans[x][y] = 1; if (path[x][y][mask][0] == 1) { draw(path[x][y][mask][1], path[x][y][mask][2], mask); } if (path[x][y][mask][0] == 2) { draw(x, y, path[x][y][mask][1]); draw(x, y, path[x][y][mask][2]); } } void SPFA() { while (!q.empty()) { point u = q.front(); q.pop(); vis[u.x][u.y][u.mask] = 0; for (int i = 0; i < 4; i++) { point v = (point){u.x + dx[i], u.y + dy[i], u.mask}; if (v.x < 1 || v.x > n || v.y < 1 || v.y > m) continue; if (dis[v.x][v.y][v.mask] > dis[u.x][u.y][u.mask] + a[v.x][v.y]) { dis[v.x][v.y][v.mask] = dis[u.x][u.y][u.mask] + a[v.x][v.y]; path[v.x][v.y][v.mask][0] = 1; path[v.x][v.y][v.mask][1] = u.x; path[v.x][v.y][v.mask][2] = u.y; if (!vis[v.x][v.y][v.mask]) { vis[v.x][v.y][v.mask] = 1; q.push(v); } } } for (int i = 0; i < (1 << k); i++) { if (i & u.mask) continue; point v = (point){u.x, u.y, u.mask | i}; if (dis[v.x][v.y][v.mask] > dis[u.x][u.y][u.mask] + dis[u.x][u.y][i] - a[u.x][u.y]) { dis[v.x][v.y][v.mask] = dis[u.x][u.y][u.mask] + dis[u.x][u.y][i] - a[u.x][u.y]; path[v.x][v.y][v.mask][0] = 2; path[v.x][v.y][v.mask][1] = i; path[v.x][v.y][v.mask][2] = u.mask; if (!vis[v.x][v.y][v.mask]) { vis[v.x][v.y][v.mask] = 1; q.push(v); } } } } } int main() { cin >> n >> m >> k; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { cin >> a[i][j]; } } memset(vis, 0, sizeof(vis)); memset(dis, 0x7f, sizeof(dis)); for (int i = 1; i <= k; i++) { int x, y; cin >> x >> y; vis[x][y][1 << (i - 1)] = 1; q.push((point){x, y, 1 << (i - 1)}); dis[x][y][1 << (i - 1)] = a[x][y]; } SPFA(); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (dis[i][j][(1 << k) - 1] < ans) { ans = dis[i][j][(1 << k) - 1]; X = i; Y = j; } } } draw(X, Y, (1 << k) - 1); cout << ans << endl; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { putchar(Ans[i][j] ? 'X' : '.'); } putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-9; const int BUFFER_SIZE = 1 << 18; const int INF = 1 << 30; const long long LINF = 1ll << 60; char BUFFER[BUFFER_SIZE]; int gi() { int x; scanf("%d", &x); return x; } double gd() { double x; scanf("%lf", &x); return x; } vector<int> gvi(int n) { vector<int> a; while (n--) a.push_back(gi()); return a; } string gs() { scanf("%s", BUFFER); return string(BUFFER); } istringstream buff() { return istringstream(string(BUFFER)); } template <class A, class B> ostream& operator<<(ostream& os, const pair<A, B>& d); template <class T> ostream& operator<<(ostream& os, const vector<T>& d); template <class T> ostream& operator<<(ostream& os, const queue<T>& d); template <class T> ostream& operator<<(ostream& os, const stack<T>& d); template <class T> ostream& operator<<(ostream& os, const set<T>& d); template <class T> ostream& operator<<(ostream& os, const multiset<T>& d); ; template <class T> ostream& operator<<(ostream& os, const unordered_set<T>& d) { os << "["; int f = 0; for (auto x : d) { if (f) os << ","; f = 1; os << x; } return os << "]"; }; template <class A, class B> ostream& operator<<(ostream& os, const map<A, B>& d) { os << "["; int f = 0; for (auto x : d) { if (f) os << ","; f = 1; os << x; } return os << "]"; }; template <class A, class B> ostream& operator<<(ostream& os, const multimap<A, B>& d) { os << "["; int f = 0; for (auto x : d) { if (f) os << ","; f = 1; os << x; } return os << "]"; }; template <class A, class B> ostream& operator<<(ostream& os, const unordered_map<A, B>& d) { os << "["; int f = 0; for (auto x : d) { if (f) os << ","; f = 1; os << x; } return os << "]"; }; ; template <class A, class B> ostream& operator<<(ostream& os, const pair<A, B>& d) { return os << "[" << d.first << ", " << d.second << "]"; } int A[111][111]; int X, Y; int dp[1 << 7][111][111]; int dpp[1 << 7][111][111][3]; int dx[4] = {-1, 1, 0, 0}; int dy[4] = {0, 0, -1, 1}; int Kx[8]; int Ky[8]; void go2(int m) { for (int t = 0; t < X * Y; ++t) { for (int x = 0; x < X; ++x) { for (int y = 0; y < Y; ++y) { for (int d = 0; d < 4; ++d) { int xx = x + dx[d]; int yy = y + dy[d]; if (xx >= 0 && yy >= 0 && xx < X && yy < Y) { if (dp[m][x][y] + A[xx][yy] < dp[m][xx][yy]) { dp[m][xx][yy] = dp[m][x][y] + A[xx][yy]; dpp[m][xx][yy][0] = 0; dpp[m][xx][yy][1] = x; dpp[m][xx][yy][2] = y; } } } } } } } char C[111][111]; void restore(int m, int x, int y) { C[x][y] = 'X'; while (dpp[m][x][y][0] == 0) { int xx = dpp[m][x][y][1]; int yy = dpp[m][x][y][2]; x = xx; y = yy; C[x][y] = 'X'; } if (dpp[m][x][y][0] == 1) { restore(dpp[m][x][y][1], x, y); restore(dpp[m][x][y][2], x, y); } } int main() { X = gi(); Y = gi(); int k = gi(); for (int i = 0; i < X; ++i) { for (int j = 0; j < Y; ++j) { A[i][j] = gi(); C[i][j] = '.'; } } for (int i = 0; i < k; ++i) { Kx[i] = gi() - 1; Ky[i] = gi() - 1; } for (int m = 0; m < 1 << k; ++m) { for (int i = 0; i < X; ++i) { for (int j = 0; j < Y; ++j) { dp[m][i][j] = INF; } } } for (int i = 0; i < k; ++i) { dp[1 << i][Kx[i]][Ky[i]] = A[Kx[i]][Ky[i]]; dpp[1 << i][Kx[i]][Ky[i]][0] = -1; } for (int m = 1; m < 1 << k; ++m) { for (int m1 = (m - 1) & m; m1; m1 = (m1 - 1) & m) { int m2 = m ^ m1; for (int x = 0; x < X; ++x) { for (int y = 0; y < Y; ++y) { if (dp[m1][x][y] + dp[m2][x][y] - A[x][y] < dp[m][x][y]) { dp[m][x][y] = dp[m1][x][y] + dp[m2][x][y] - A[x][y]; dpp[m][x][y][0] = 1; dpp[m][x][y][1] = m1; dpp[m][x][y][2] = m2; } } } } go2(m); } int best = INF; int m = (1 << k) - 1; int xx = -1; int yy = -1; for (int x = 0; x < X; ++x) { for (int y = 0; y < Y; ++y) { if (dp[m][x][y] < best) { best = dp[m][x][y]; xx = x; yy = y; } } } printf("%d\n", best); restore(m, xx, yy); for (int i = 0; i < X; ++i) { for (int j = 0; j < Y; ++j) { printf("%c", C[i][j]); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 105; int n, m, k, mask; int a[N][N], dp[130][N][N]; int pre[130][N][N]; pair<int, int> p[10]; bool vis[N][N]; void print(pair<int, int> v, int s) { int x = v.first, y = v.second; vis[x][y] = 1; if (pre[s][x][y] > 0) { print(v, pre[s][x][y]); print(v, s ^ pre[s][x][y]); } else if (pre[s][x][y] < 0) { int p = -pre[s][x][y]; if (p == 1) { print(make_pair(x - 1, y), s); } else if (p == 2) { print(make_pair(x, y - 1), s); } else if (p == 3) { print(make_pair(x + 1, y), s); } else print(make_pair(x, y + 1), s); } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%d", &a[i][j]); } } for (int i = 0; i < 130; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) dp[i][j][k] = 1e8; for (int i = 1; i <= k; i++) { scanf("%d%d", &p[i].first, &p[i].second); dp[(1 << (i - 1))][p[i].first][p[i].second] = a[p[i].first][p[i].second]; pre[(1 << (i - 1))][p[i].first][p[i].second] = 0; } mask = (1 << k) - 1; for (int s = 1; s <= mask; s++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { for (int p = (s - 1) & s; p != 0; p = (p - 1) & s) { if (dp[s][i][j] > dp[p][i][j] + dp[p ^ s][i][j] - a[i][j]) { dp[s][i][j] = dp[p][i][j] + dp[p ^ s][i][j] - a[i][j]; pre[s][i][j] = p; } } } } bool done = 0; while (!done) { done = 1; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { int cur; if (dp[s][i - 1][j] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i - 1][j] + a[i][j]; pre[s][i][j] = -1; done = 0; } if (dp[s][i][j - 1] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i][j - 1] + a[i][j]; pre[s][i][j] = -2; done = 0; } if (dp[s][i + 1][j] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i + 1][j] + a[i][j]; pre[s][i][j] = -3; done = 0; } if (dp[s][i][j + 1] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i][j + 1] + a[i][j]; pre[s][i][j] = -4; done = 0; } } } } } int cur = INT_MAX; pair<int, int> ver; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (dp[mask][i][j] < cur) { ver = make_pair(i, j); cur = dp[mask][i][j]; } } } printf("%d\n", cur); print(ver, mask); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { printf("%c", ".X"[vis[i][j]]); } printf("\n"); } }
#include <bits/stdc++.h> using namespace std; const int N = 105; int n, m, k, mask; int a[N][N], dp[130][N][N]; int pre[130][N][N]; pair<int, int> p[10]; bool vis[N][N]; void print(pair<int, int> v, int s) { int x = v.first, y = v.second; vis[x][y] = 1; if (pre[s][x][y] > 0) { print(v, pre[s][x][y]); print(v, s ^ pre[s][x][y]); } else if (pre[s][x][y] < 0) { int p = -pre[s][x][y]; if (p == 1) { print(make_pair(x - 1, y), s); } else if (p == 2) { print(make_pair(x, y - 1), s); } else if (p == 3) { print(make_pair(x + 1, y), s); } else print(make_pair(x, y + 1), s); } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%d", &a[i][j]); } } for (int i = 1; i < 130; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) dp[i][j][k] = 1e6; for (int i = 1; i <= k; i++) { scanf("%d%d", &p[i].first, &p[i].second); dp[(1 << (i - 1))][p[i].first][p[i].second] = a[p[i].first][p[i].second]; pre[(1 << (i - 1))][p[i].first][p[i].second] = 0; } mask = (1 << k) - 1; for (int s = 1; s <= mask; s++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { for (int p = (s - 1) & s; p > 0; p = (p - 1) & s) { if (dp[s][i][j] > dp[p][i][j] + dp[p ^ s][i][j] - a[i][j]) { dp[s][i][j] = dp[p][i][j] + dp[p ^ s][i][j] - a[i][j]; pre[s][i][j] = p; } } } } bool done = 0; while (!done) { done = 1; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { int cur; if (dp[s][i - 1][j] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i - 1][j] + a[i][j]; pre[s][i][j] = -1; done = 0; } if (dp[s][i][j - 1] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i][j - 1] + a[i][j]; pre[s][i][j] = -2; done = 0; } if (dp[s][i + 1][j] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i + 1][j] + a[i][j]; pre[s][i][j] = -3; done = 0; } if (dp[s][i][j + 1] + a[i][j] < dp[s][i][j]) { dp[s][i][j] = dp[s][i][j + 1] + a[i][j]; pre[s][i][j] = -4; done = 0; } } } } } int cur = INT_MAX; pair<int, int> ver; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (dp[mask][i][j] < cur) { ver = make_pair(i, j); cur = dp[mask][i][j]; } } } printf("%d\n", cur); print(ver, mask); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { printf("%c", ".X"[vis[i][j]]); } printf("\n"); } }
#include <bits/stdc++.h> using namespace std; const int N = 1e2 + 7; const int M = 8; const int INF = 1e9 + 7; set<pair<int, pair<int, int>>> st; vector<vector<vector<vector<int>>>> dis; vector<vector<vector<vector<pair<int, int>>>>> pos; int bad[N][N]; int a[N][N]; bool used[N][N]; int n, m, k; int dp[1 << M][N][N]; pair<int, pair<int, int>> par[1 << M][N][N]; int dr[] = {1, -1, 0, 0}; int dc[] = {0, 0, 1, -1}; bool valid(int r, int c) { return r >= 0 && c >= 0 && r < n && c < m; } void dijkstra(int sr, int sc) { dis[sr][sc][sr][sc] = a[sr][sc]; st.insert({a[sr][sc], {sr, sc}}); while (!st.empty()) { int r = st.begin()->second.first; int c = st.begin()->second.second; st.erase(st.begin()); for (int i = 0; i < 4; i++) { int R = r + dr[i]; int C = c + dc[i]; if (valid(R, C)) { if (dis[sr][sc][R][C] > dis[sr][sc][r][c] + a[R][C]) { st.erase({dis[sr][sc][R][C], {R, C}}); dis[sr][sc][R][C] = dis[sr][sc][r][c] + a[R][C]; pos[sr][sc][R][C] = {r, c}; st.insert({dis[sr][sc][R][C], {R, C}}); } } } } } void solve(int mask, int r, int c) { auto all = par[mask][r][c]; if (all.first != -1) { int R = all.second.first; int C = all.second.second; int submask = all.first; while (r != -1) { used[r][c] = 1; auto p = pos[R][C][r][c]; r = p.first; c = p.second; } solve(submask, R, C); solve(mask ^ submask, R, C); } } int main() { cin >> n >> m >> k; dis.resize(n); pos.resize(n); for (int i = 0; i < n; i++) { dis[i].resize(m); pos[i].resize(m); for (int j = 0; j < m; j++) { dis[i][j].resize(n); pos[i][j].resize(n); for (int k = 0; k < n; k++) { dis[i][j][k].resize(m); pos[i][j][k].resize(m); for (int l = 0; l < m; l++) { dis[i][j][k][l] = INF; pos[i][j][k][l] = {-1, -1}; } } } } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i][j]; memset(bad, -1, sizeof bad); for (int i = 0; i < k; i++) { int r, c; cin >> r >> c; r--, c--; bad[r][c] = i; used[r][c] = 1; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) dijkstra(i, j); memset(par, -1, sizeof par); memset(dp, 23, sizeof dp); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { dp[0][i][j] = a[i][j]; if (bad[i][j] != -1) dp[1 << bad[i][j]][i][j] = a[i][j]; } for (int mask = 1; mask < 1 << k; mask++) for (int r = 0; r < n; r++) for (int c = 0; c < m; c++) for (int R = 0; R < n; R++) for (int C = 0; C < m; C++) for (int submask = mask; submask; submask = (submask - 1) & mask) { if (dp[mask][r][c] > dp[submask][R][C] + dp[mask ^ submask][R][C] + dis[r][c][R][C] - 2 * a[R][C]) { dp[mask][r][c] = dp[submask][R][C] + dp[mask ^ submask][R][C] + dis[r][c][R][C] - a[R][C] - a[R][C]; par[mask][r][c] = {submask, {R, C}}; } } int ans = 1e9 + 7; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) ans = min(ans, dp[(1 << k) - 1][i][j]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (dp[(1 << k) - 1][i][j] == ans) { cout << ans << "\n"; solve((1 << k) - 1, i, j); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) if (used[i][j]) cout << "X"; else cout << "."; cout << "\n"; } return 0; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; bool debug = false; int k; int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; int a[105][105]; char out[105][105]; int dp[105][105][1 << 7], path[105][105][1 << 7][3]; vector<pair<int, int>> vk; void dd(int mask) { for (int p = 0; p < m * n + 10; p++) { for (int(i) = 0; (i) < (int)(n); (i)++) for (int(j) = 0; (j) < (int)(m); (j)++) for (int(q) = 0; (q) < (int)(4); (q)++) { int x = dx[q] + i, y = dy[q] + j; if (x >= 0 && y >= 0 && x < n && y < m) { int tmp = dp[i][j][mask] + a[x][y]; if (tmp < dp[x][y][mask]) { dp[x][y][mask] = tmp; path[x][y][mask][0] = 2; path[x][y][mask][1] = i; path[x][y][mask][2] = j; } } } } } void pp(int i, int j, int mask) { out[i][j] = 'X'; if (path[i][j][mask][0] == 1) { pp(i, j, path[i][j][mask][1]); pp(i, j, path[i][j][mask][2]); } else if (path[i][j][mask][0] == 2) { pp(path[i][j][mask][1], path[i][j][mask][2], mask); } } int main() { scanf("%d%d%d", &n, &m, &k); 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, x, y; i < k; i++) { scanf("%d%d", &x, &y); x--; y--; vk.push_back({x, y}); } for (int p = 0; p < (1 << k); p++) { for (int(i) = 0; (i) < (int)(n); (i)++) for (int(j) = 0; (j) < (int)(m); (j)++) { dp[i][j][p] = 1 << 30; } } for (int p = 0; p < k; p++) { dp[vk[p].first][vk[p].second][1 << p] = a[vk[p].first][vk[p].second]; } for (int mask = 0; mask < (1 << k); mask++) { for (int(i) = 0; (i) < (int)(n); (i)++) for (int(j) = 0; (j) < (int)(m); (j)++) { for (int subMask = mask; subMask; subMask = mask & (subMask - 1)) { int tmp = dp[i][j][subMask] + dp[i][j][mask ^ subMask] - a[i][j]; if (tmp < dp[i][j][mask]) { dp[i][j][mask] = tmp; path[i][j][mask][0] = 1; path[i][j][mask][1] = subMask; path[i][j][mask][2] = mask ^ subMask; } } } dd(mask); } int ans = 1 << 30; for (int(i) = 0; (i) < (int)(n); (i)++) for (int(j) = 0; (j) < (int)(m); (j)++) { ans = min(ans, dp[i][j][(1 << k) - 1]); out[i][j] = '.'; } printf("%d\n", ans); for (int(i) = 0; (i) < (int)(n); (i)++) for (int(j) = 0; (j) < (int)(m); (j)++) if (ans == dp[i][j][(1 << k) - 1]) { pp(i, j, (1 << k) - 1); for (int(i) = 0; (i) < (int)(n); (i)++) puts(out[i]); return 0; } return 0; }
#include <bits/stdc++.h> inline int getint() { int x = 0, p = 1; char c = getchar(); while (c <= 32) c = getchar(); if (c == 45) p = -p, c = getchar(); while (c > 32) x = x * 10 + c - 48, c = getchar(); return x * p; } using namespace std; const int S = 7; const int N = 102; int n, m, k, a[N][N], ex[S], ey[S], dp[N][N][(1 << S) + 10]; struct st { st() {} st(int _x, int _y, int _z) { x = _x; y = _y; mask = _z; } bool operator<(const st) const { return true; } int x, y, mask; }; st pre[N][N][(1 << S) + 10]; bool g[N][N]; priority_queue<pair<int, st>, vector<pair<int, st> >, greater<pair<int, st> > > pq; int dx[] = {1, 0, 0, -1}; int dy[] = {0, 1, -1, 0}; inline bool isvalid(int x, int y) { if (x < 0 || x >= n || y < 0 || y >= m) return false; return true; } void go(int x, int y, int mask) { if (x == -1 || !mask) return; g[x][y] = true; st u = pre[x][y][mask]; go(u.x, u.y, u.mask); if (u.mask != mask && u.mask) go(x, y, u.mask ^ mask); } int main() { n = getint(); m = getint(); k = getint(); for (int(i) = 0; (i) < (n); (i)++) for (int(j) = 0; (j) < (m); (j)++) a[i][j] = getint(); for (int(i) = 0; (i) < (n); (i)++) for (int(j) = 0; (j) < (m); (j)++) for (int(k) = 0; (k) < (1 << S); (k)++) dp[i][j][k] = 1000000000; for (int(i) = 0; (i) < (k); (i)++) { ex[i] = getint() - 1, ey[i] = getint() - 1; dp[ex[i]][ey[i]][1 << i] = a[ex[i]][ey[i]]; pre[ex[i]][ey[i]][1 << i] = st(-1, -1, 0); pq.push(make_pair(a[ex[i]][ey[i]], st(ex[i], ey[i], 1 << i))); } while (!pq.empty()) { pair<int, st> uu = pq.top(); pq.pop(); st u = uu.second; assert(u.mask); if (uu.first > dp[u.x][u.y][u.mask]) continue; for (int(i) = 0; (i) < (4); (i)++) { int fx = u.x + dx[i], fy = u.y + dy[i]; if (!isvalid(fx, fy)) continue; if (dp[u.x][u.y][u.mask] + a[fx][fy] < dp[fx][fy][u.mask]) { dp[fx][fy][u.mask] = dp[u.x][u.y][u.mask] + a[fx][fy]; pre[fx][fy][u.mask] = st(u.x, u.y, u.mask); pq.push(make_pair(dp[fx][fy][u.mask], st(fx, fy, u.mask))); } for (int(msk) = 0; (msk) < (1 << k); (msk)++) if (!(msk & u.mask) && msk > 0) { if (dp[fx][fy][msk | u.mask] > dp[u.x][u.y][u.mask] + dp[fx][fy][msk]) { dp[fx][fy][msk | u.mask] = dp[u.x][u.y][u.mask] + dp[fx][fy][msk]; pre[fx][fy][msk | u.mask] = st(u.x, u.y, u.mask); pq.push( make_pair(dp[fx][fy][msk | u.mask], st(fx, fy, msk | u.mask))); } } } } int sx = -1, sy = -1, res = 1000000000; for (int(i) = 0; (i) < (n); (i)++) for (int(j) = 0; (j) < (m); (j)++) if (dp[i][j][(1 << k) - 1] < res) { res = dp[i][j][(1 << k) - 1]; sx = i; sy = j; } printf("%d\n", res); go(sx, sy, (1 << k) - 1); for (int(i) = 0; (i) < (n); (i)++) { for (int(j) = 0; (j) < (m); (j)++) if (g[i][j]) printf("X"); else printf("."); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 2e2 + 100, OO = 1e18, M = 998244353, P = 6151, SQ = 1000, lg = 30; long long dp[N][N], a[N], fdp[N][N], bit[(1 << 8)][N], n, m, h; bitset<N> dis[N][N], num[N][N]; bool mark[N][N]; inline long long pos(long long i, long long j) { if (i == 0 || j == 0 || i > n || j > m) return 0; return ((i - 1) * m + j); } void dfs(long long x, long long y) { if (mark[x][y] || fdp[x][y] == 0) return; mark[x][y] = true; dfs(x, fdp[x][y]), dfs(fdp[x][y], y); dis[x][y] = dis[x][fdp[x][y]] | dis[fdp[x][y]][y]; } int32_t main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m >> h; for (long long i = 1; i <= n; i++) for (long long j = 1; j <= m; j++) cin >> a[pos(i, j)]; memset(dp, 63, sizeof(dp)); memset(bit, 63, sizeof(bit)); for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= m; j++) { dp[pos(i, j)][pos(i, j)] = a[pos(i, j)]; dp[pos(i, j)][pos(i + 1, j)] = a[pos(i, j)] + a[pos(i + 1, j)]; dp[pos(i, j)][pos(i - 1, j)] = a[pos(i, j)] + a[pos(i - 1, j)]; dp[pos(i, j)][pos(i, j + 1)] = a[pos(i, j)] + a[pos(i, j + 1)]; dp[pos(i, j)][pos(i, j - 1)] = a[pos(i, j)] + a[pos(i, j - 1)]; bit[0][pos(i, j)] = a[pos(i, j)]; dis[pos(i, j)][pos(i, j)][pos(i, j)] = 1; dis[pos(i, j)][pos(i + 1, j)][pos(i, j)] = 1, dis[pos(i, j)][pos(i + 1, j)] [pos(i + 1, j)] = 1; dis[pos(i, j)][pos(i - 1, j)][pos(i, j)] = 1, dis[pos(i, j)][pos(i - 1, j)] [pos(i - 1, j)] = 1; dis[pos(i, j)][pos(i, j + 1)][pos(i, j)] = 1, dis[pos(i, j)][pos(i, j + 1)] [pos(i, j + 1)] = 1; dis[pos(i, j)][pos(i, j - 1)][pos(i, j)] = 1, dis[pos(i, j)][pos(i, j - 1)] [pos(i, j - 1)] = 1; num[0][pos(i, j)][pos(i, j)] = 1; } } for (long long k = 1; k <= pos(n, m); k++) { for (long long i = 1; i <= pos(n, m); i++) { for (long long j = 1; j <= pos(n, m); j++) { long long t = dp[i][j]; dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j] - a[k]); if (dp[i][j] < t) fdp[i][j] = k; } } } for (long long i = 1; i <= pos(n, m); i++) for (long long j = 1; j <= pos(n, m); j++) dfs(i, j); vector<long long> v; for (long long i = 0; i < h; i++) { long long x, y; cin >> x >> y; v.push_back(pos(x, y)); for (long long j = 1; j <= pos(n, m); j++) bit[(1 << i)][j] = dp[pos(x, y)][j], num[(1 << i)][j] = dis[pos(x, y)][j]; } for (long long msk = 1; msk < (1 << h); msk++) { if ((msk & -msk) == msk) continue; for (long long i = 1; i <= pos(n, m); i++) { long long sb = -1, k = -1; for (long long sub = 0; sub < (1 << h); sub++) { if ((msk & sub) != sub) continue; for (long long j = 1; j <= pos(n, m); j++) { long long t = bit[msk][i]; bit[msk][i] = min(min(bit[msk][i], bit[sub][j] + bit[msk ^ sub][i] + dp[i][j] - a[i] - a[j]), bit[sub][i] + bit[msk ^ sub][j] + dp[i][j] - a[i] - a[j]); if (bit[msk][i] != t) sb = sub, k = j; } } if (sb == -1) continue; if (bit[msk][i] == bit[sb][k] + bit[msk ^ sb][i] + dp[i][k] - a[i] - a[k]) num[msk][i] = num[sb][k] | num[msk ^ sb][i] | dis[i][k]; else num[msk][i] = num[sb][i] | num[msk ^ sb][k] | dis[i][k]; } } cout << bit[(1 << h) - 1][v[0]] << endl; for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= m; j++) { if (num[(1 << h) - 1][v[0]][pos(i, j)] == 1) cout << 'X'; else cout << '.'; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 99999999; int dx[4] = {-1, 0, 1, 0}; int dy[4] = {0, 1, 0, -1}; int n, m, nn; int val[105][105]; int dp[220][1 << 7], pre[220][1 << 7]; char ans[105][105]; bool inq[220][1 << 7]; queue<int> Q; void update(int pos, int st, int v, int fa) { if (dp[pos][st] <= v) return; dp[pos][st] = v; pre[pos][st] = fa; if (!inq[pos][st]) { inq[pos][st] = 1; Q.push(pos); Q.push(st); } } void dfs(int pos, int st) { int i, x, y; x = pos / m, y = pos % m; ans[x][y] = 'X'; if (pre[pos][st] == -1) return; int ppos = pre[pos][st] / 1000, pst = pre[pos][st] % 1000; dfs(ppos, pst); if (st - pst) dfs(ppos, st - pst); } int main() { int i, j, t, k, T; int x, y, xx, yy, st, pos, now; while (scanf("%d %d %d", &n, &m, &nn) != EOF) { while (!Q.empty()) Q.pop(); T = (1 << nn); t = 0; for (i = 0; i < n; ++i) for (j = 0; j < m; ++j) scanf("%d", &val[i][j]); for (i = 0; i < n * m; ++i) for (j = 0; j < T; ++j) dp[i][j] = INF; for (i = 0; i < n; ++i) { for (j = 0; j < m; ++j) ans[i][j] = '.'; ans[i][m] = '\0'; } memset(inq, 0, sizeof(inq)); for (i = 0; i < nn; ++i) { scanf("%d %d", &k, &t); k--; t--; update(k * m + t, (1 << i), val[k][t], -1); } while (!Q.empty()) { pos = Q.front(); Q.pop(); st = Q.front(); Q.pop(); inq[pos][st] = 0; x = pos / m; y = pos % m; for (i = 0; i < 4; ++i) { xx = x + dx[i]; yy = y + dy[i]; if (xx >= 0 && xx < n && yy >= 0 && yy < m) update(xx * m + yy, st, dp[pos][st] + val[xx][yy], pos * 1000 + st); } now = T - 1 - st; for (i = now; i; i = (i - 1) & now) update(pos, i | st, dp[pos][st] + dp[pos][i] - val[x][y], pos * 1000 + st); } t = INF; for (i = 0; i < n * m; ++i) if (dp[i][T - 1] < t) { t = dp[i][T - 1]; k = i; } dfs(k, T - 1); printf("%d\n", t); for (i = 0; i < n; ++i) printf("%s\n", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class t> inline t read(t &x) { x = 0; char c = getchar(); bool f = 0; while (!isdigit(c)) f |= c == '-', c = getchar(); while (isdigit(c)) x = (x << 1) + (x << 3) + (c ^ 48), c = getchar(); if (f) x = -x; return x; } template <class t> inline void write(t x) { if (x < 0) { putchar('-'), write(-x); } else { if (x > 9) write(x / 10); putchar('0' + x % 10); } } const int dx[4] = {-1, 1, 0, 0}, dy[4] = {0, 0, -1, 1}; const int N = 105, S = (1 << 7) + 5; int n, m, k, a[N][N], f[N][N][S], ans = 0x3f3f3f3f; bool bd[N][N], v[N][N][S]; struct node { int x, y, s; } pre[N][N][S]; queue<node> q; void print(node s) { if (pre[s.x][s.y][s.s].s == -1) return; if (pre[s.x][s.y][s.s].s == 0) { print((node){s.x, s.y, pre[s.x][s.y][s.s].x}); print((node){s.x, s.y, pre[s.x][s.y][s.s].y}); } else { bd[s.x][s.y] = 1; print((node){pre[s.x][s.y][s.s].x, pre[s.x][s.y][s.s].y, s.s}); } } signed main() { read(n); read(m); read(k); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) read(a[i][j]); for (int s = 0; s < (1 << k); s++) for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { f[i][j][s] = 0x3f3f3f3f; pre[i][j][s] = (node){-1, -1, -1}; } for (int i = 0, x, y; i < k; i++) { read(x); read(y); f[x][y][1 << i] = a[x][y]; bd[x][y] = 1; q.push((node){x, y, 1 << i}); v[x][y][1 << i] = 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (!bd[i][j]) { f[i][j][0] = a[i][j]; q.push((node){i, j, 0}); v[i][j][0] = 1; } while (!q.empty()) { node x = q.front(); q.pop(); v[x.x][x.y][x.s] = 0; for (int s = 1; s < (1 << k); s++) if ((s & x.s) == 0) { if (f[x.x][x.y][s | x.s] > f[x.x][x.y][x.s] + f[x.x][x.y][s] - a[x.x][x.y]) { f[x.x][x.y][s | x.s] = f[x.x][x.y][x.s] + f[x.x][x.y][s] - a[x.x][x.y]; pre[x.x][x.y][s | x.s] = (node){x.s, s, 0}; if (!v[x.x][x.y][x.s | s]) { v[x.x][x.y][x.s | s] = 1; q.push((node){x.x, x.y, x.s | s}); } } } for (int i = 0; i < 4; i++) { int nx = x.x + dx[i], ny = x.y + dy[i]; if (nx >= 1 && ny >= 1 && nx <= n && ny <= m) { if (f[nx][ny][x.s] > f[x.x][x.y][x.s] + a[nx][ny]) { f[nx][ny][x.s] = f[x.x][x.y][x.s] + a[nx][ny]; pre[nx][ny][x.s] = (node){x.x, x.y, 1}; v[nx][ny][x.s] = 1; q.push((node){nx, ny, x.s}); } } } } node start = (node){0, 0, (1 << k) - 1}; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (f[i][j][(1 << k) - 1] < ans) { ans = f[i][j][(1 << k) - 1]; start = (node){i, j, start.s}; } write(ans); print(start); for (int i = 1; i <= n; i++) { puts(""); for (int j = 1; j <= m; j++) putchar(bd[i][j] ? 'X' : '.'); } }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; int n, m, k; int dp[110][110][1024], vis[110][110][1024], a[110][110], cover[110][110]; int dx[4] = {0, 1, 0, -1}; int dy[4] = {1, 0, -1, 0}; struct NODE { int x, y, state; NODE() {} NODE(int _x, int _y, int _state) { x = _x, y = _y, state = _state; } }; NODE pre[110][110][1024]; void Cover(int x, int y, int state) { if (state == -1) return; NODE temp = pre[x][y][state]; if (temp.state == 0) { Cover(x, y, temp.x); Cover(x, y, temp.y); } if (temp.state == 1) { Cover(temp.x, temp.y, state); cover[x][y] = 1; } } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%d", &a[i][j]); } } queue<NODE> Q; memset(dp, INF, sizeof(dp)); for (int i = 1; i <= k; i++) { int x, y; scanf("%d %d", &x, &y); cover[x][y] = 1; dp[x][y][1 << (i - 1)] = a[x][y]; vis[x][y][1 << (i - 1)] = 1; Q.push(NODE(x, y, 1 << (i - 1))); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { pre[i][j][0] = NODE(-1, -1, -1); if (!cover[i][j]) { dp[i][j][0] = a[i][j]; Q.push(NODE(i, j, 0)); vis[i][j][0] = 1; } } } while (!Q.empty()) { NODE u = Q.front(); Q.pop(); vis[u.x][u.y][u.state] = 0; for (int i = 1; i < (1 << k); i++) { if ((i & u.state) == 0) { if (dp[u.x][u.y][u.state ^ i] > dp[u.x][u.y][u.state] + dp[u.x][u.y][i] - a[u.x][u.y]) { dp[u.x][u.y][u.state ^ i] = dp[u.x][u.y][u.state] + dp[u.x][u.y][i] - a[u.x][u.y]; pre[u.x][u.y][u.state ^ i] = NODE(u.state, i, 0); if (!vis[u.x][u.y][u.state ^ i]) { vis[u.x][u.y][u.state ^ i] = 1; Q.push(NODE(u.x, u.y, u.state ^ i)); } } } } for (int i = 0; i < 4; i++) { int xx = u.x + dx[i]; int yy = u.y + dy[i]; if (xx < 1 || xx > n || yy < 1 || yy > m) continue; if (dp[xx][yy][u.state] > dp[u.x][u.y][u.state] + a[xx][yy]) { dp[xx][yy][u.state] = dp[u.x][u.y][u.state] + a[xx][yy]; vis[xx][yy][u.state] = 1; Q.push(NODE(xx, yy, u.state)); pre[xx][yy][u.state] = NODE(u.x, u.y, 1); } } } int min_x, min_y, min_w = INF; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (min_w > dp[i][j][(1 << k) - 1]) { min_w = dp[i][j][(1 << k) - 1]; min_x = i, min_y = j; } } } Cover(min_x, min_y, (1 << k) - 1); printf("%d\n", min_w); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (cover[i][j]) printf("X"); else printf("."); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1.0); const int DISJOINTED = 1; const int TRASITIVE = 2; int r, c, k; int bd[100][100]; int xs[7]; int ys[7]; int dp[100][100][1 << 7]; int from[100][100][1 << 7][3]; int dx[] = {-1, 0, 1, 0}; int dy[] = {0, 1, 0, -1}; bool pave[100][100]; void update(int mask) { for (int k = 0; k < (int)(r * c + 10); k++) { for (int i = 0; i < (int)(r); i++) for (int j = 0; j < (int)(c); j++) { for (int d = 0; d < (int)(4); d++) { int x = i + dx[d]; int y = j + dy[d]; if (0 <= x && x < r && 0 <= y && y < c) { int tmp = dp[i][j][mask] + bd[x][y]; if (tmp < dp[x][y][mask]) { dp[x][y][mask] = tmp; from[x][y][mask][0] = TRASITIVE; from[x][y][mask][1] = i; from[x][y][mask][2] = j; } } } } } } void fillSquare(int x, int y, int mask) { pave[x][y] = true; if (from[x][y][mask][0] == TRASITIVE) fillSquare(from[x][y][mask][1], from[x][y][mask][2], mask); else if (from[x][y][mask][0] == DISJOINTED) { fillSquare(x, y, from[x][y][mask][1]); fillSquare(x, y, from[x][y][mask][2]); } } int main() { cin >> r >> c >> k; for (int i = 0; i < (int)(r); i++) for (int j = 0; j < (int)(c); j++) scanf("%d", bd[i] + j); for (int i = 0; i < (int)(k); i++) { scanf("%d %d", xs + i, ys + i); --xs[i]; --ys[i]; } for (int i = 0; i < (int)(r); i++) for (int j = 0; j < (int)(c); j++) for (int mask = 0; mask < (int)(1 << k); mask++) { dp[i][j][mask] = 999999999; from[i][j][mask][0] = 0; } for (int i = 0; i < (int)(k); i++) dp[xs[i]][ys[i]][1 << i] = bd[xs[i]][ys[i]]; for (int mask = 0; mask < (int)(1 << k); mask++) { for (int i = 0; i < (int)(r); i++) for (int j = 0; j < (int)(c); j++) { for (int sub = (mask - 1) & mask; sub > 0; sub = (sub - 1) & mask) { int tmp = dp[i][j][sub] + dp[i][j][mask ^ sub] - bd[i][j]; if (tmp < dp[i][j][mask]) { dp[i][j][mask] = tmp; from[i][j][mask][0] = DISJOINTED; from[i][j][mask][1] = sub; from[i][j][mask][2] = mask ^ sub; } } } update(mask); } int ret = 999999999; int x; int y; for (int i = 0; i < (int)(r); i++) for (int j = 0; j < (int)(c); j++) { if (dp[i][j][(1 << k) - 1] < ret) { ret = dp[i][j][(1 << k) - 1]; x = i; y = j; } } cout << ret << endl; memset(pave, 0, sizeof(pave)); fillSquare(x, y, (1 << k) - 1); for (int i = 0; i < (int)(r); i++) for (int j = 0; j < (int)(c); j++) { if (pave[i][j]) cout << 'X'; else cout << '.'; if (j == c - 1) cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 105; struct AS { int x, y, mask; AS() {} AS(int x, int y, int mask) : x(x), y(y), mask(mask) {} } pre[maxn][maxn][1 << 7]; int n, m, k, full, a[maxn][maxn], dp[maxn][maxn][1 << 7]; bool vis[maxn][maxn]; inline int read() { int res = 0, f_f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f_f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') res = (res << 3) + (res << 1) + (ch - '0'), ch = getchar(); return res * f_f; } inline bool chkmin(int &x, int y) { if (y == -1) return false; if (x == -1 || x > y) { x = y; return true; } return false; } inline void solve(AS x) { if (!x.x || !x.y) return; vis[x.x][x.y] = true; solve(pre[x.x][x.y][x.mask]); if (x.mask == (x.mask ^ pre[x.x][x.y][x.mask].mask)) return; solve(AS(x.x, x.y, x.mask ^ pre[x.x][x.y][x.mask].mask)); } int main() { memset(dp, -1, sizeof(dp)); n = read(), m = read(), k = read(), full = (1 << k) - 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { a[i][j] = read(), dp[i][j][0] = a[i][j]; pre[i][j][0] = AS(0, 0, 0); } for (int i = 1; i <= k; i++) { int x = read(), y = read(); dp[x][y][1 << i - 1] = a[x][y], dp[x][y][0] = -1; pre[x][y][1 << i - 1] = AS(0, 0, 0); } for (int mask = 0; mask <= full; mask++) { int T = n * m + 5; while (T--) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { for (int sta = mask; sta; sta = mask & (sta - 1)) { int res = -1; AS cur; if (dp[i][j][mask ^ sta] == -1) continue; if (i && chkmin(res, dp[i - 1][j][sta])) cur = AS(i - 1, j, sta); if (i <= n && chkmin(res, dp[i + 1][j][sta])) cur = AS(i + 1, j, sta); if (j && chkmin(res, dp[i][j - 1][sta])) cur = AS(i, j - 1, sta); if (j <= m && chkmin(res, dp[i][j + 1][sta])) cur = AS(i, j + 1, sta); if (res == -1) continue; if (chkmin(dp[i][j][mask], dp[i][j][mask ^ sta] + res)) pre[i][j][mask] = cur; } } } } } int ans = -1; AS cur; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (chkmin(ans, dp[i][j][full])) cur = AS(i, j, full); solve(cur); printf("%d\n", ans); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (vis[i][j]) printf("X"); else printf("."); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > L; int N, M, K; int T[1 << 7][205]; int tr[1 << 7][205]; int D[105][105]; char ans[105][105]; int xx[4] = {-1, 0, 1, 0}; int yy[4] = {0, 1, 0, -1}; int hsh(int x, int y) { return x * M + y; } void trace(int ad, int x, int y) { ans[x][y] = 'X'; if (T[ad][hsh(x, y)] == D[x][y]) return; int d = tr[ad][hsh(x, y)]; if (d <= 0) trace(ad, x - xx[-d], y - yy[-d]); else trace(d, x, y), trace(ad ^ d, x, y); } int main() { scanf("%d%d%d", &N, &M, &K); for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { scanf("%d", D[i] + j); ans[i][j] = '.'; } } for (int i = 0; i < K; i++) { int A, B; scanf("%d%d", &A, &B); A--, B--; L.push_back(pair<int, int>(A, B)); } for (int i = 1; i < 1 << K; i++) { for (int j = 0; j < N * M; j++) T[i][j] = 0x3fffffff; } for (int i = 0; i < K; i++) { T[1 << i][hsh(L[i].first, L[i].second)] = D[L[i].first][L[i].second]; } for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { T[0][hsh(i, j)] = D[i][j]; } } for (int i = 1; i < 1 << K; i++) { for (int j = i; j; j = (j - 1) & i) { for (int k = 0; k < N; k++) { for (int l = 0; l < M; l++) { int tmp = T[i][hsh(k, l)]; T[i][hsh(k, l)] = min( T[i][hsh(k, l)], T[j][hsh(k, l)] + T[i ^ j][hsh(k, l)] - D[k][l]); if (T[i][hsh(k, l)] != tmp) tr[i][hsh(k, l)] = j; } } } bool chk[105][105] = {0}; for (int t = 0; t < N * M; t++) { int rx = -1, ry = -1; for (int x = 0; x < N; x++) { for (int y = 0; y < M; y++) { if (!chk[x][y] && (rx == -1 || T[i][hsh(rx, ry)] > T[i][hsh(x, y)])) rx = x, ry = y; } } chk[rx][ry] = true; for (int d = 0; d < 4; d++) { int px = rx + xx[d], py = ry + yy[d]; if (px < 0 || px >= N || py < 0 || py >= M) continue; int tmp = T[i][hsh(px, py)]; T[i][hsh(px, py)] = min(T[i][hsh(px, py)], T[i][hsh(rx, ry)] + D[px][py]); if (T[i][hsh(px, py)] != tmp) tr[i][hsh(px, py)] = -d; } } } int rx = 0, ry = 0, to = (1 << K) - 1; for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { if (T[to][hsh(i, j)] < T[to][hsh(rx, ry)]) rx = i, ry = j; } } trace(to, rx, ry); printf("%d\n", T[to][hsh(rx, ry)]); for (int i = 0; i < N; i++) printf("%s\n", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; void run(); int main() { ios::sync_with_stdio(0); run(); } unsigned v[200]; unsigned n, m, k; unsigned st[1 << 7][200]; unsigned fr[1 << 7][200]; unsigned freud[200][200]; vector<int> edges(int x) { vector<int> res; if (x % m) res.push_back(x - 1); if ((x + 1) % m) res.push_back(x + 1); if (x >= m) res.push_back(x - m); if (x + m < n * m) res.push_back(x + m); return res; } long long val = 0; void dfs(int mask, int x) { if (not mask) return; if (~v[x]) val += v[x], v[x] = -1; if (!~fr[mask][x]) return; int tom = fr[mask][x] & 0x7F; int top = fr[mask][x] >> 7; if (tom != mask) { dfs(mask ^ tom, x); dfs(mask & tom, x); } else { while (x != top) { for (int y : edges(x)) if (freud[x][y] + freud[y][top] == freud[x][top]) { x = y; break; } if (~v[x]) val += v[x], v[x] = -1; } dfs(tom, top); } } void run() { memset(freud, -1, sizeof freud); memset(st, -1, sizeof st); memset(fr, -1, sizeof fr); cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> v[i * m + j]; for (int i = 0; i < n * m; freud[i][i] = 0, ++i) for (int j : edges(i)) freud[i][j] = v[j]; for (int i = n * m; i--;) for (int j = n * m; j--;) for (int k = n * m; k--;) if (~(freud[j][i] | freud[i][k])) freud[j][k] = min(freud[j][k], freud[j][i] + freud[i][k]); for (int i = n * m; i--;) st[0][i] = v[i]; for (int i = 0; i < k; i++) { int r, c; cin >> r >> c; --r, --c; st[1 << i][r * m + c] = v[r * m + c]; } for (int msk = 0, steps = pow(3, k) + 0.5; msk < steps; ++msk) { int mask = 0, musk = 0; for (int i = msk, j = 0; j < k; j++, i /= 3) (mask <<= 1) |= (i % 3 == 1), (musk <<= 1) |= (i % 3 == 2); if (not mask) for (int i = n * m; i--;) for (int j = n * m; j--;) if ((~st[musk][j]) and st[musk][i] > st[musk][j] + freud[j][i]) st[musk][i] = st[musk][j] + freud[j][i], fr[musk][i] = (j << 7) | musk; if (not musk) for (int i = n * m; i--;) for (int j = n * m; j--;) if ((~st[mask][j]) and st[mask][i] > st[mask][j] + freud[j][i]) st[mask][i] = st[mask][j] + freud[j][i], fr[mask][i] = (j << 7) | mask; for (int i = n * m; i--;) if ((~st[mask][i]) and (~st[musk][i])) if (st[mask | musk][i] > st[mask][i] + st[musk][i] - v[i]) st[mask | musk][i] = st[mask][i] + st[musk][i] - v[i], fr[mask | musk][i] = (i << 7) | mask; } unsigned res = -1, rex = -1; for (int i = n * m; i--;) if (st[(1 << k) - 1][i] < res) res = st[(1 << k) - 1][i], rex = i; if (!~res) res = rex = 0; dfs((1 << k) - 1, rex); cout << res << endl; for (int i = 0; i < n; i++, cout << '\n') for (int j = 0; j < m; j++) cout << (~v[i * m + j] ? '.' : 'X'); }
#include <bits/stdc++.h> using namespace std; int f[205], ans, aa[205]; int a[205], n, m, k, dis[205][205], opt[205][205], path[205][205], p[205][205]; int d[4][2] = {{1, 0}, {-1, 0}, {0, -1}, {0, 1}}; int fun(int i, int j) { return (i - 1) * m + j; } void floyd() { int l = n * m; int i, j, h; for (h = 1; h <= l; h++) for (i = 1; i <= l; i++) for (j = 1; j <= l; j++) if (dis[i][j] > dis[i][h] + dis[h][j] - dis[h][h]) { dis[i][j] = dis[i][h] + dis[h][j] - dis[h][h]; p[i][j] = p[h][j]; } } void dfs(int s, int i) { if (path[s][i] == -1) return; if (path[s][i] > n * m) { int t = path[s][i] - n * m; if (a[i] != -1) ans += a[i]; a[i] = -1; dfs(t, i); dfs(s ^ t, i); } else { if (a[i] != -1) ans += a[i]; a[path[s][i]] = -1; dfs(s, path[s][i]); int tm = path[s][i]; while (tm != i) { tm = p[i][tm]; if (a[i] != -1) ans += a[i]; a[tm] = -1; } } } int main() { int i, j, l, x, y, s; while (scanf("%d%d%d", &n, &m, &k) != -1) { memset(f, -1, sizeof(f)); memset(path, -1, sizeof path); memset(p, -1, sizeof path); for (i = 1; i <= n * m; i++) for (j = 1; j <= n * m; j++) dis[i][j] = 1000000000; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { scanf("%d", &a[fun(i, j)]); dis[fun(i, j)][fun(i, j)] = a[fun(i, j)]; } for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { if (i != 1) dis[fun(i, j)][fun(i - 1, j)] = a[fun(i, j)] + a[fun(i - 1, j)], p[fun(i, j)][fun(i - 1, j)] = fun(i, j); if (i != n) dis[fun(i, j)][fun(i + 1, j)] = a[fun(i, j)] + a[fun(i + 1, j)], p[fun(i, j)][fun(i + 1, j)] = fun(i, j); if (j != 1) dis[fun(i, j)][fun(i, j - 1)] = a[fun(i, j)] + a[fun(i, j - 1)], p[fun(i, j)][fun(i, j - 1)] = fun(i, j); if (j != m) dis[fun(i, j)][fun(i, j + 1)] = a[fun(i, j)] + a[fun(i, j + 1)], p[fun(i, j)][fun(i, j + 1)] = fun(i, j); } floyd(); for (i = 1; i <= n * m; i++) { p[i][i] = i; opt[0][i] = a[i]; for (s = 1; s < (1 << k); s++) opt[s][i] = 1000000000; } for (i = 0; i < k; i++) { scanf("%d%d", &x, &y); f[fun(x, y)] = i; opt[1 << i][fun(x, y)] = a[fun(x, y)]; } for (int u = 1; u < 10; u++) { for (s = 1; s < (1 << k); s++) { for (i = 1; i <= n * m; i++) { for (j = 1; j <= n * m; j++) { if (opt[s][i] > opt[s][j] + dis[i][j] - a[j]) { opt[s][i] = opt[s][j] + dis[i][j] - a[j]; path[s][i] = j; } } for (j = 1; j < s; j++) { if (opt[s][i] > opt[j][i] + opt[s ^ j][i] - a[i]) { opt[s][i] = opt[j][i] + opt[s ^ j][i] - a[i]; path[s][i] = n * m + j; } } } } } ans = 1000000000; for (i = 1; i <= n * m; i++) { if (opt[(1 << k) - 1][i] < ans) { ans = opt[(1 << k) - 1][i]; s = i; } } a[s] = -1; dfs((1 << k) - 1, s); printf("%d\n", ans); for (i = 1; i <= n; i++, printf("\n")) for (j = 1; j <= m; j++) { if (a[fun(i, j)] == -1 || f[fun(i, j)] != -1) printf("X"); else printf("."); } } }
#include <bits/stdc++.h> using namespace std; const int oo = (1 << 28); const int N = (1 << 8) + 10; const int M = 227 * 2; int dp[N][M], w[M], dis[M][M], node[8]; int distrace[M][M], dptrace[N][M]; int cover[M][M]; int n, m, sum, nodenum; int abs(int x) { return x < 0 ? -x : x; } bool isconnect(int a, int b) { int ax = a % m, ay = a / m; int bx = b % m, by = b / m; if (abs(ax - bx) + abs(ay - by) == 1) return true; return false; } void floyd() { fill(dis[0], dis[0] + M * M, oo); for (int i = 0; i < sum; i++) { for (int j = 0; j < sum; j++) { if (i == j) dis[i][j] = 0; else if (isconnect(i, j)) dis[i][j] = w[j]; } } for (int k = 0; k < sum; k++) for (int i = 0; i < sum; i++) for (int j = 0; j < sum; j++) { if (dis[i][j] > dis[i][k] + dis[k][j]) { dis[i][j] = dis[i][k] + dis[k][j]; distrace[i][j] = k; } } for (int i = 0; i < sum; i++) for (int j = 0; j < sum; j++) dis[i][j] += w[i]; } void setpath(int u, int v) { cover[u / m][u % m] = cover[v / m][v % m] = 1; if (distrace[u][v] == -1) return; int pre = distrace[u][v]; setpath(u, pre); setpath(pre, v); } void getpath(int set, int cur) { if (dptrace[set][cur] == -1) return; int pre = dptrace[set][cur]; if (!(set & (set - 1))) { setpath(cur, pre - (1 << nodenum)); return; } if (pre >= (1 << nodenum)) { setpath(pre - (1 << nodenum), cur); getpath(set, pre - (1 << nodenum)); } else { getpath(set ^ pre, cur); getpath(pre, cur); } } int main() { while (scanf("%d %d %d", &n, &m, &nodenum) == 3) { int x, y; sum = n * m; memset(cover, 0, sizeof(cover)); memset(dptrace, -1, sizeof(dptrace)); memset(distrace, -1, sizeof(distrace)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { scanf("%d", &w[i * m + j]); } } for (int i = 0; i < nodenum; i++) { scanf("%d %d", &y, &x); y--, x--; node[i] = y * m + x; } floyd(); fill(dp[0], dp[0] + N * M, oo); for (int i = 0; i < sum; i++) { for (int j = 0; j < nodenum; j++) { dp[1 << j][i] = dis[i][node[j]]; dptrace[(1 << j)][i] = node[j] + (1 << nodenum); } } for (int i = 0; i < (1 << nodenum); i++) { for (int j = 0; j < sum; j++) { for (int k = i & (i - 1); k; k = (k - 1) & i) { int tmp = dp[i ^ k][j] + dp[k][j] - w[j]; if (dp[i][j] > tmp) { dp[i][j] = tmp; dptrace[i][j] = k; } } } for (int j = 0; j < sum; j++) { for (int k = 0; k < sum; k++) { int tmp = dp[i][k] + dis[k][j] - w[k]; if (dp[i][j] > tmp) { dp[i][j] = tmp; dptrace[i][j] = k + (1 << nodenum); } } } } int ans = oo, ind = -1; for (int i = 0; i < sum; i++) { if (ans > dp[(1 << nodenum) - 1][i]) { ans = dp[(1 << nodenum) - 1][i]; ind = i; } } printf("%d\n", ans); getpath((1 << nodenum) - 1, ind); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { printf("%c", cover[i][j] ? 'X' : '.'); } printf("\n"); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 210, INF = 1 * 1000 * 1000 * 1000 + 10, maxm = 150, maxk = 10; int n, m, k, sar, now, par[maxn], x[maxk], c[maxn], d[maxn], f[maxn][maxn], dp[maxm][maxn], dx[4] = {-1, 1, 0, 0}, dy[4] = {0, 0, -1, 1}, cur, X, Y, save; vector<int> t[maxm][maxn], path[maxn][maxn]; queue<int> q; bool mark[maxn]; char ans[maxn][maxn]; inline bool valid(int &a, int &b) { return a >= 0 && a < n && b >= 0 && b < m; } inline void SPFA() { while (!q.empty()) { sar = q.front(); X = sar / m; Y = sar % m; q.pop(); mark[sar] = 0; for (int i = 0; i < 4; i++) { X += dx[i]; Y += dy[i]; save = X * m + Y; if (valid(X, Y) && d[save] > d[sar] + c[save]) { d[save] = d[sar] + c[save]; par[save] = sar; if (!mark[save]) { q.push(save); mark[save] = 1; } } X -= dx[i]; Y -= dy[i]; } } } int main() { ios::sync_with_stdio(0); cin >> n >> m >> k; for (int i = 0; i < n * m; i++) cin >> c[i]; for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) d[j] = INF; d[i] = 0; par[i] = -1; mark[i] = 1; q.push(i); SPFA(); for (int j = 0; j < n * m; j++) { f[i][j] = d[j]; now = j; while (par[now] != -1) { path[i][j].push_back(now); now = par[now]; } } } memset(dp, 63, sizeof dp); for (int i = 0; i < k; i++) { cin >> X >> Y; X--; Y--; x[i] = X * m + Y; for (int j = 0; j < n * m; j++) { dp[1 << i][j] = f[x[i]][j] + c[x[i]]; t[1 << i][j] = path[x[i]][j]; t[1 << i][j].push_back(x[i]); } } for (int i = 3; i < (1 << k); i++) { if (__builtin_popcount(i) > 1) { for (int j = 0; j < n * m; j++) { for (int sub = i; sub; sub = (sub - 1) & i) { if (sub == i) continue; cur = i ^ sub; for (int p = 0; p < n * m; p++) { if (dp[sub][p] + dp[cur][p] + f[p][j] - c[p] < dp[i][j]) { dp[i][j] = dp[sub][p] + dp[cur][p] + f[p][j] - c[p]; save = sub; X = p; } } } cur = i ^ save; t[i][j] = path[X][j]; for (int p = 0; p < ((int(t[save][X].size()))); p++) t[i][j].push_back(t[save][X][p]); for (int p = 0; p < ((int(t[cur][X].size()))); p++) { if (t[cur][X][p] != X) t[i][j].push_back(t[cur][X][p]); } } } } cout << dp[(1 << k) - 1][x[0]]; for (int i = 0; i < ((int(t[(1 << k) - 1][x[0]].size()))); i++) ans[t[(1 << k) - 1][x[0]][i] / m][t[(1 << k) - 1][x[0]][i] % m] = 'X'; for (int i = 0; i < n; i++) { cout << endl; for (int j = 0; j < m; j++) { if (ans[i][j] == 'X') cout << ans[i][j]; else cout << '.'; } } return 0; }
#include <bits/stdc++.h> using namespace std; inline void in(int &x) { x = 0; char c = getchar(); while (c < '0' || c > '9') c = getchar(); while (c >= '0' && c <= '9') x = (x << 1) + (x << 3) + (c ^ 48), c = getchar(); } const int dx[] = {1, 0, -1, 0}, dy[] = {0, 1, 0, -1}; int n, m, k, a[105][105], dp[105][105][1 << 7], pre[105][105][1 << 7][3], X[10], Y[10]; bool ans[105][105]; void draw(int x, int y, int mask) { ans[x][y] = 1; if (pre[x][y][mask][0] == 0) { draw(pre[x][y][mask][1], pre[x][y][mask][2], mask); } else if (pre[x][y][mask][0] == 1) { draw(x, y, pre[x][y][mask][1]); draw(x, y, pre[x][y][mask][2]); } } int main() { in(n); in(m); in(k); for (int mask = 0; mask < (1 << k); mask++) for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) dp[i][j][mask] = 1e9; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) in(a[i][j]); for (int i = 0; i < k; i++) { in(X[i]); in(Y[i]); X[i]--; Y[i]--; pre[X[i]][Y[i]][1 << i][0] = 2; dp[X[i]][Y[i]][1 << i] = a[X[i]][Y[i]]; } for (int mask = 0; mask < (1 << k); mask++) { for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int sub = mask; sub; sub = (sub - 1) & mask) { int tmp = dp[i][j][sub] + dp[i][j][mask ^ sub] - a[i][j]; if (tmp < dp[i][j][mask]) { dp[i][j][mask] = tmp; pre[i][j][mask][0] = 1; pre[i][j][mask][1] = sub; pre[i][j][mask][2] = mask ^ sub; } } for (int T = 0; T < n * m + 10; T++) { for (int x = 0; x < n; x++) for (int y = 0; y < m; y++) for (int i = 0; i < 4; i++) { int nx = x + dx[i], ny = y + dy[i]; if (nx >= 0 && nx < n && ny >= 0 && ny < m) { int tmp = dp[nx][ny][mask] + a[x][y]; if (tmp < dp[x][y][mask]) { dp[x][y][mask] = tmp; pre[x][y][mask][0] = 0; pre[x][y][mask][1] = nx; pre[x][y][mask][2] = ny; } } } } } int best = 1e9; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { best = min(dp[i][j][(1 << k) - 1], best); } printf("%d\n", best); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (dp[i][j][(1 << k) - 1] == best) { draw(i, j, (1 << k) - 1); for (int ii = 0; ii < n; ii++) { for (int jj = 0; jj < m; jj++) putchar(ans[ii][jj] ? 'X' : '.'); putchar('\n'); } return 0; } } }
#include <bits/stdc++.h> using namespace std; const int DX[8] = {1, -1, 0, 0, 1, 1, -1, -1}; const int DY[8] = {0, 0, 1, -1, 1, -1, 1, -1}; const int intmax = 0x7fffffff; int mp[105][105], n, m, nk; int d[105][105][1 << 7]; pair<int, int> fa1[105][105][1 << 7], fa2[105][105][1 << 7]; char f[105][105]; bool vis[105][105]; struct node { int x, y; node(int a, int b) : x(a), y(b) {} }; queue<node> qu; inline int pow2(int n) { return 1 << n; } inline int get2(int n, int p) { return (1 << p) & n; } void print(int x, int y, int k) { f[x][y] = 'X'; if (fa1[x][y][k].first == -1) if (fa2[x][y][k].second == -1) return; else { print(x, y, fa2[x][y][k].first); print(x, y, fa2[x][y][k].second); } else print(fa1[x][y][k].first, fa1[x][y][k].second, k); } int main() { scanf("%d%d%d", &n, &m, &nk); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &mp[i][j]); memset(d, 0x3f, sizeof(d)); for (int i = 0; i < nk; i++) { int a, b; scanf("%d%d", &a, &b); d[a - 1][b - 1][pow2(i)] = mp[a - 1][b - 1]; fa1[a - 1][b - 1][pow2(i)] = make_pair(-1, -1); fa2[a - 1][b - 1][pow2(i)] = make_pair(-1, -1); } for (int i = 1; i < pow2(nk); i++) { for (int j = 0; j < n; j++) for (int k = 0; k < m; k++) for (int l = (i - 1) & i; l; l = (l - 1) & i) { d[j][k][i] = min(d[j][k][i], d[j][k][l ^ i] + d[j][k][l] - mp[j][k]); if (d[j][k][i] == d[j][k][l ^ i] + d[j][k][l] - mp[j][k]) { fa1[j][k][i] = make_pair(-1, -1); fa2[j][k][i] = make_pair(l ^ i, l); } } for (int j = 0; j < n; j++) for (int k = 0; k < m; k++) qu.push(node(j, k)); memset(vis, 0, sizeof(vis)); while (!qu.empty()) { node tmp = qu.front(); qu.pop(); int x = tmp.x; int y = tmp.y; int dis = d[x][y][i]; vis[x][y] = 0; for (int di = 0; di < 4; di++) { int nx = x + DX[di]; int ny = y + DY[di]; if (nx < n && nx >= 0 && ny < m && ny >= 0) { if (dis + mp[nx][ny] < d[nx][ny][i]) { d[nx][ny][i] = dis + mp[nx][ny]; fa1[nx][ny][i] = make_pair(x, y); fa2[nx][ny][i] = make_pair(-1, -1); if (!vis[nx][ny]) { qu.push(node(nx, ny)); vis[nx][ny] = 1; } } } } } } int ans = intmax; int ansx, ansy; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { ans = min(ans, d[i][j][pow2(nk) - 1]), f[i][j] = '.'; if (ans == d[i][j][pow2(nk) - 1]) ansx = i, ansy = j; } printf("%d\n", ans); print(ansx, ansy, pow2(nk) - 1); for (int i = 0; i < n; i++) puts(f[i]); }
#include <bits/stdc++.h> using namespace std; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; int f[201][201][201], px[201][201][201], py[201][201][201], x1[201][201][201]; int x2[201][201][201], dat[201][201], n, m, k; int qx[3000000], qy[3000000], qz[3000000], l, r; bool used[300][300]; void search(int x, int y, int z) { used[x][y] = true; if (x == 0 || y == 0) return; if (x1[x][y][z] == 0) { search(px[x][y][z], py[x][y][z], z); } else { search(px[x][y][z], py[x][y][z], x1[x][y][z]); search(px[x][y][z], py[x][y][z], x2[x][y][z]); } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) scanf("%d", &dat[i][j]); memset(f, 50, sizeof(f)); for (int i = 1; i <= k; ++i) { int x, y; scanf("%d%d", &x, &y); qx[++r] = x; qy[r] = y; qz[r] = (1 << (i - 1)); f[x][y][1 << (i - 1)] = dat[x][y]; } while (l < r) { ++l; int x = qx[l], y = qy[l], z = qz[l]; for (int i = 1; i < (1 << k); ++i) { if (f[x][y][z] + f[x][y][i] - dat[x][y] < f[x][y][z | i]) { f[x][y][z | i] = f[x][y][z] + f[x][y][i] - dat[x][y]; qx[++r] = x; qy[r] = y; qz[r] = z | i; px[x][y][z | i] = x; py[x][y][z | i] = y; x1[x][y][z | i] = z; x2[x][y][z | i] = i; } } for (int i = 0; i < 4; ++i) { int xx = x + dx[i], yy = y + dy[i]; if (xx > 0 && xx <= n && yy > 0 && yy <= m && f[x][y][z] + dat[xx][yy] < f[xx][yy][z]) { qx[++r] = xx; qy[r] = yy; qz[r] = z; f[xx][yy][z] = f[x][y][z] + dat[xx][yy]; px[xx][yy][z] = x; py[xx][yy][z] = y; x1[xx][yy][z] = 0; x2[xx][yy][z] = 0; } } } int maxx = 1000000000, xxx, yyy; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) if (f[i][j][(1 << k) - 1] < maxx) maxx = f[i][j][(1 << k) - 1], xxx = i, yyy = j; search(xxx, yyy, (1 << k) - 1); cout << maxx << endl; for (int i = 1; i <= n; ++i) { for (int j = 1; j <= m; ++j) if (used[i][j]) printf("X"); else printf("."); cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int nn = 110; const int inf = 0x3fffffff; int n, m, k; int a[nn][nn]; int dp[(1 << 7) + 10][nn][nn]; bool use[nn][nn]; int dir[4][2] = {1, 0, -1, 0, 0, 1, 0, -1}; struct node { int mask, x, y; node() {} node(int mmask, int xx, int yy) { mask = mmask, x = xx, y = yy; } }; node pre[(1 << 7) + 10][nn][nn]; queue<node> que; bool inque[(1 << 7) + 10][nn][nn]; void solve(int mask, int x, int y) { if (pre[mask][x][y].mask == -1) return; if (pre[mask][x][y].mask == 0) { solve(pre[mask][x][y].x, x, y); solve(pre[mask][x][y].y, x, y); } else { use[x][y] = true; solve(mask, pre[mask][x][y].x, pre[mask][x][y].y); } } int main() { int i, j, x, y, e; while (scanf("%d%d%d", &n, &m, &k) != EOF) { for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) scanf("%d", &a[i][j]); memset(use, false, sizeof(use)); memset(inque, false, sizeof(inque)); for (e = 0; e < (1 << k); e++) { for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { dp[e][i][j] = inf; pre[e][i][j] = node(-1, -1, -1); } } } for (i = 0; i < k; i++) { scanf("%d%d", &x, &y); dp[(1 << i)][x][y] = a[x][y]; use[x][y] = true; que.push(node(1 << i, x, y)); inque[(1 << i)][x][y] = true; } for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { if (!use[i][j]) { dp[0][i][j] = a[i][j]; que.push(node(0, i, j)); inque[0][i][j] = true; } } } node sta; while (que.size()) { sta = que.front(); que.pop(); inque[sta.mask][sta.x][sta.y] = false; for (e = 1; e < (1 << k); e++) { if ((e & sta.mask) == 0) { if (dp[e ^ sta.mask][sta.x][sta.y] > dp[sta.mask][sta.x][sta.y] + dp[e][sta.x][sta.y] - a[sta.x][sta.y]) { pre[e ^ sta.mask][sta.x][sta.y] = node(0, sta.mask, e); dp[e ^ sta.mask][sta.x][sta.y] = dp[sta.mask][sta.x][sta.y] + dp[e][sta.x][sta.y] - a[sta.x][sta.y]; if (!inque[e ^ sta.mask][sta.x][sta.y]) { inque[e ^ sta.mask][sta.x][sta.y] = true; que.push(node(e ^ sta.mask, sta.x, sta.y)); } } } } for (i = 0; i < 4; i++) { int dx = sta.x + dir[i][0]; int dy = sta.y + dir[i][1]; if (dx >= 1 && dx <= n && dy >= 1 && dy <= m) { if (dp[sta.mask][dx][dy] > dp[sta.mask][sta.x][sta.y] + a[dx][dy]) { pre[sta.mask][dx][dy] = node(1, sta.x, sta.y); dp[sta.mask][dx][dy] = dp[sta.mask][sta.x][sta.y] + a[dx][dy]; que.push(node(sta.mask, dx, dy)); inque[sta.mask][dx][dy] = true; } } } } int ans = inf; for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { if (dp[(1 << k) - 1][i][j] < ans) { ans = dp[(1 << k) - 1][i][j]; sta = node((1 << k) - 1, i, j); } } } printf("%d\n", ans); solve(sta.mask, sta.x, sta.y); for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { printf("%c", use[i][j] ? 'X' : '.'); } puts(""); } } return 0; }
#include <bits/stdc++.h> using namespace std; int garden[100][100], n, m, k; int dist[200][200], mid[200][200], f[1 << 6][200]; bool road[100][100]; struct Building { int x, y, pos; } build[7]; struct Path { int mask1, mask2, pos; void assign(int mask1, int mask2, int pos) { this->mask1 = mask1; this->mask2 = mask2; this->pos = pos; } } path[1 << 6][200]; void output() { int cost = 0; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { if (road[i][j]) { cost += garden[i][j]; } } } cout << cost << endl; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { cout << (road[i][j] ? 'X' : '.'); } cout << endl; } } void Floyd() { int dir[4][2] = {0, -1, 0, 1, 1, 0, -1, 0}, nm = n * m; for (int i = 0; i < nm; ++i) { for (int j = 0; j < nm; ++j) { dist[i][j] = (i == j ? 0 : 1000000000); mid[i][j] = -1; } } for (int i = 0; i < nm; ++i) { int x = i / m, y = i % m; for (int k = 0; k < 4; ++k) { int rx = x + dir[k][0], ry = y + dir[k][1]; if (0 <= rx && rx < n && 0 <= ry && ry < m) { dist[i][rx * m + ry] = garden[x][y]; } } } for (int k = 0; k < nm; ++k) { for (int i = 0; i < nm; ++i) { for (int j = 0; j < nm; ++j) { if (dist[i][k] + dist[k][j] < dist[i][j]) { dist[i][j] = dist[i][k] + dist[k][j]; mid[i][j] = k; } } } } } void buildroad0(int x, int y) { if (mid[x][y] == -1) { road[x / m][x % m] = true; } else { buildroad0(x, mid[x][y]); buildroad0(mid[x][y], y); } } void buildroad(int mask, int pos) { if (mask) { buildroad(path[mask][pos].mask1, path[mask][pos].pos); buildroad(path[mask][pos].mask2, path[mask][pos].pos); buildroad0(path[mask][pos].pos, pos); } } int main() { while (cin >> n >> m >> k) { for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { cin >> garden[i][j]; } } for (int i = 0; i < k; ++i) { cin >> build[i].x >> build[i].y; --build[i].x, --build[i].y; build[i].pos = build[i].x * m + build[i].y; } if (k == 1) { road[build[0].x][build[0].y] = true; output(); continue; } Floyd(); memset(f, 0x0f, sizeof(f)); int nm = n * m, k2 = 1 << (k - 1); for (int i = 0; i < k - 1; ++i) { for (int j = 0; j < nm; ++j) { f[1 << i][j] = dist[build[i].pos][j]; path[1 << i][j].assign(0, 0, build[i].pos); } } for (int mask1 = 1; mask1 < k2; ++mask1) { for (int mask2 = 1; mask2 < k2; ++mask2) { if ((mask1 & mask2) == 0) { for (int pos1 = 0; pos1 < nm; ++pos1) { for (int pos2 = 0; pos2 < nm; ++pos2) { int d = dist[pos1][pos2] + f[mask1][pos1] + f[mask2][pos1]; if (d < f[mask1 | mask2][pos2]) { f[mask1 | mask2][pos2] = d; path[mask1 | mask2][pos2].assign(mask1, mask2, pos1); } } } } } } buildroad(k2 - 1, build[k - 1].pos); road[build[k - 1].x][build[k - 1].y] = true; output(); } }
#include <bits/stdc++.h> using namespace std; int ans = 2e9, cnt, n, m, k, X, Y, a[110][110], Ans[110][110], dis[110][110][130], path[110][110][130][3]; int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; bool vis[110][110][130]; struct point { int x, y, mask; }; queue<point> q; void draw(int x, int y, int mask) { Ans[x][y] = 1; if (path[x][y][mask][0] == 1) { draw(path[x][y][mask][1], path[x][y][mask][2], mask); } if (path[x][y][mask][0] == 2) { draw(x, y, path[x][y][mask][1]); draw(x, y, path[x][y][mask][2]); } } void SPFA() { while (!q.empty()) { point u = q.front(); q.pop(); vis[u.x][u.y][u.mask] = 0; for (int i = 0; i < 4; i++) { point v = (point){u.x + dx[i], u.y + dy[i], u.mask}; if (v.x < 1 || v.x > n || v.y < 1 || v.y > m) continue; if (dis[v.x][v.y][v.mask] > dis[u.x][u.y][u.mask] + a[v.x][v.y]) { dis[v.x][v.y][v.mask] = dis[u.x][u.y][u.mask] + a[v.x][v.y]; path[v.x][v.y][v.mask][0] = 1, path[v.x][v.y][v.mask][1] = u.x, path[v.x][v.y][v.mask][2] = u.y; if (!vis[v.x][v.y][v.mask]) vis[v.x][v.y][v.mask] = 1, q.push(v); } } for (int i = 0; i < (1 << k); i++) { if (i & u.mask) continue; point v = (point){u.x, u.y, u.mask | i}; if (dis[v.x][v.y][v.mask] > dis[u.x][u.y][u.mask] + dis[u.x][u.y][i] - a[u.x][u.y]) { dis[v.x][v.y][v.mask] = dis[u.x][u.y][u.mask] + dis[u.x][u.y][i] - a[u.x][u.y]; path[v.x][v.y][v.mask][0] = 2, path[v.x][v.y][v.mask][1] = i, path[v.x][v.y][v.mask][2] = u.mask; if (!vis[v.x][v.y][v.mask]) vis[v.x][v.y][v.mask] = 1, q.push(v); } } } } int main() { cin >> n >> m >> k; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { cin >> a[i][j]; } } memset(dis, 0x7f, sizeof(dis)); for (int i = 1, x, y; i <= k; i++) { cin >> x >> y; vis[x][y][1 << (i - 1)] = 1; dis[x][y][1 << (i - 1)] = a[x][y]; q.push((point){x, y, 1 << (i - 1)}); } SPFA(); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (dis[i][j][(1 << k) - 1] < ans) { ans = dis[i][j][(1 << k) - 1]; X = i; Y = j; } } } draw(X, Y, (1 << k) - 1); cout << ans << endl; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { putchar(Ans[i][j] ? 'X' : '.'); } putchar('\n'); } return 0; }
#include <bits/stdc++.h> int n, m, k, p, a[7], c[205][205], z[205][205], d[128][205], h[128][205], f[128][205], A = 1 << 29, R; char o[205]; void fp(int i, int j) { int t = z[i][j]; if (t < 0) return; o[t] = 'X'; fp(i, t); fp(t, j); } void trace(int i, int j) { o[j] = 'X'; if (h[i][j] >= 0) { trace(h[i][j], j); trace(i ^ h[i][j], j); } if (f[i][j] >= 0 && f[i][j] != j) { fp(j, f[i][j]); trace(i, f[i][j]); } return; } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = (0); i < (n * m); i++) for (int j = (0); j < (n * m); j++) c[i][j] = 1 << 29, z[i][j] = -1; for (int i = (0); i < (1 << k); i++) for (int j = (0); j < (n * m); j++) d[i][j] = 1 << 29, h[i][j] = f[i][j] = -1; for (int i = (0); i < (n * m); i++) o[i] = '.'; for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { scanf("%d", &c[p][p]); p++; } p = 0; for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { if (j < m - 1) c[p][p + 1] = c[p + 1][p] = c[p][p] + c[p + 1][p + 1]; if (i < n - 1) c[p][p + m] = c[p + m][p] = c[p][p] + c[p + m][p + m]; p++; } for (int t = (0); t < (p); t++) for (int i = (0); i < (p); i++) for (int j = (i + 1); j < (p); j++) if (c[i][j] > c[i][t] + c[t][j] - c[t][t]) c[i][j] = c[j][i] = c[i][t] + c[t][j] - c[t][t], z[i][j] = z[j][i] = t; for (int i = (0); i < (k); i++) { int x, y; scanf("%d %d", &x, &y); a[i] = (x - 1) * m + y - 1; for (int j = (0); j < (p); j++) d[1 << i][j] = c[a[i]][j], f[1 << i][j] = a[i]; } for (int i = (3); i < (1 << k); i++) { if ((i & -i) == i) continue; for (int j = (0); j < (p); j++) for (int t = i - 1 & i; t; t = t - 1 & i) if (d[i][j] > d[t][j] + d[t ^ i][j] - c[j][j]) d[i][j] = d[t][j] + d[t ^ i][j] - c[j][j], h[i][j] = t; for (int j = (0); j < (p); j++) for (int t = (0); t < (p); t++) if (d[i][j] > d[i][t] + c[t][j] - c[t][t]) d[i][j] = d[i][t] + c[t][j] - c[t][t], f[i][j] = t, h[i][j] = -1; } printf("%d\n", d[(1 << k) - 1][a[0]]); trace((1 << k) - 1, a[0]); for (int i = (0); i < (p); i++) { putchar(o[i]); if (i % m == m - 1) putchar('\n'); } scanf("\n"); }
#include <bits/stdc++.h> using namespace std; int n, m, k, x[105][105], d[130][105][105], cnt[130], ans = INT_MAX, ta, tb, tc; priority_queue<pair<int, pair<int, int> >, vector<pair<int, pair<int, int> > >, greater<pair<int, pair<int, int> > > > q[130]; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; bool u[105][105]; void go(int a, int b, int c) { u[b][c] = 1; if (d[a][b][c] == x[b][c]) return; for (int i = 1; i * 2 < a; i++) if ((i & a) == i && d[i][b][c] + d[a - i][b][c] - x[b][c] == d[a][b][c]) { go(i, b, c); go(a - i, b, c); return; } int td = d[a][b][c] - x[b][c]; for (int i = 0; i < 4; i++) { b += dx[i], c += dy[i]; if (b >= 0 && b < n && c >= 0 && c < m && d[a][b][c] == td) { go(a, b, c); return; } b -= dx[i], c -= dy[i]; } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", x[i] + j); for (int i = 0; i < k; i++) { scanf("%d%d", &ta, &tb); ta--, tb--; q[1 << i].push(make_pair(d[1 << i][ta][tb] = x[ta][tb], make_pair(ta, tb))); } for (int i = 1; i < (1 << k); i++) for (int j = 0; j < k; j++) if (i & (1 << j)) cnt[i]++; for (int i = 1; i <= k; i++) for (int j = 1; j < (1 << k); j++) { if (cnt[j] != i) continue; for (int l = 1; l * 2 < j; l++) if ((l & j) == l) for (int ii = 0; ii < n; ii++) for (int jj = 0; jj < m; jj++) d[j][ii][jj] = min(d[j][ii][jj] ? d[j][ii][jj] : INT_MAX, d[l][ii][jj] + d[j - l][ii][jj] - x[ii][jj]); if (i == k) { for (int ii = 0; ii < n; ii++) for (int jj = 0; jj < m; jj++) if (d[j][ii][jj] && d[j][ii][jj] < ans) ans = d[j][ii][jj], ta = ii, tb = jj; go(j, ta, tb); continue; } if (i != 1) for (int ii = 0; ii < n; ii++) for (int jj = 0; jj < m; jj++) q[j].push(make_pair(d[j][ii][jj], make_pair(ii, jj))); while (!q[j].empty()) { ta = q[j].top().second.first, tb = q[j].top().second.second, tc = q[j].top().first; q[j].pop(); if (d[j][ta][tb] != tc) continue; for (int l = 0; l < 4; l++) { ta += dx[l], tb += dy[l]; if (ta >= 0 && ta < n && tb >= 0 && tb < m && (!d[j][ta][tb] || tc + x[ta][tb] < d[j][ta][tb])) q[j].push( make_pair(d[j][ta][tb] = tc + x[ta][tb], make_pair(ta, tb))); ta -= dx[l], tb -= dy[l]; } } } printf("%d\n", ans); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) printf("%c", u[i][j] ? 'X' : '.'); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 100 + 10; const int MAX_V = 200 + 10; const int MAX_S = 1 << 7; const int INF = 1000000; const int dx[] = {-1, 0, 1, 0}; const int dy[] = {0, 1, 0, -1}; int N, M, K, S; int w[MAX_N][MAX_N]; int f[MAX_N][MAX_N][MAX_S]; int pre[MAX_N][MAX_N][MAX_S]; int qx[MAX_V]; int qy[MAX_V]; int in[MAX_N][MAX_N]; int cov[MAX_N][MAX_N]; void Init() { int x, y; scanf("%d%d%d", &N, &M, &K); S = 1 << K; for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) scanf("%d", &w[i][j]); for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) for (int k = 1; k < S; ++k) { f[i][j][k] = INF; pre[i][j][k] = INF; } for (int i = 0; i < K; ++i) { scanf("%d%d", &x, &y); f[x][y][1 << i] = w[x][y]; } } void SPFA(int s) { int qh = 0, qt = 0; for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) { qx[qt] = i; qy[qt++] = j; in[i][j] = true; } int nx, ny, px, py; for (; qh < qt;) { px = qx[qh]; py = qy[qh++]; for (int i = 0; i < 4; ++i) { nx = px + dx[i]; ny = py + dy[i]; if (nx > 0 && nx <= N && ny > 0 && ny <= M && f[nx][ny][s] > f[px][py][s] + w[nx][ny]) { f[nx][ny][s] = f[px][py][s] + w[nx][ny]; pre[nx][ny][s] = -i; if (!in[nx][ny]) { in[nx][ny] = true; qx[qt] = nx; qy[qt++] = ny; } } } in[px][py] = false; } } void DFS(int x, int y, int s) { cov[x][y] = true; int tmp = pre[x][y][s]; if (tmp == INF) return; if (tmp <= 0) DFS(x - dx[-tmp], y - dy[-tmp], s); else DFS(x, y, tmp), DFS(x, y, s - tmp); } void Solve() { for (int s = 1; s < S; ++s) { for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) for (int ns = (s - 1) & s; ns; ns = (ns - 1) & s) if (f[i][j][s] > f[i][j][ns] + f[i][j][s - ns] - w[i][j]) { f[i][j][s] = f[i][j][ns] + f[i][j][s - ns] - w[i][j]; pre[i][j][s] = ns; } SPFA(s); if (0) { printf("Now is state %d\n", s); for (int i = 1; i <= N; ++i) { for (int j = 1; j <= M; ++j) printf("%d ", f[i][j][s]); printf("\n"); } } } int ax, ay, ans = INF; for (int i = 1; i <= N; ++i) for (int j = 1; j <= M; ++j) if (f[i][j][S - 1] < ans) { ans = f[i][j][S - 1]; ax = i, ay = j; } printf("%d\n", ans); DFS(ax, ay, S - 1); for (int i = 1; i <= N; ++i) { for (int j = 1; j <= M; ++j) putchar(cov[i][j] ? 'X' : '.'); putchar('\n'); } } int main() { Init(); Solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int const lim = 220; int mn[lim + 3][lim + 3], mid[lim + 3][lim + 3]; int inf = INT_MAX / 2; int dp[(1 << 8)][lim + 3], inp[lim + 3], from[(1 << 8)][lim + 3], m; bool is[(1 << 8)][lim + 3]; bool out[lim + 3]; void shortest(int u, int v) { out[u] = out[v] = true; int ind = mid[u][v]; if (ind == -1) return; shortest(u, ind); shortest(ind, v); } void solve(int mask, int u) { out[u] = true; int v = from[mask][u]; if (v == -1) return; if (is[mask][u]) shortest(u, v), solve(mask, v); else solve(mask ^ v, u), solve(v, u); } int main() { memset(mid, -1, sizeof mid); memset(from, -1, sizeof from); int n, m, kk; cin >> n >> m >> kk; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &inp[i * m + j]); for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) mn[i][j] = inf; for (int i = 0; i < (1 << kk); i++) for (int j = 0; j < n * m; j++) dp[i][j] = inf; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (i) mn[i * m + j][(i - 1) * m + j] = inp[(i - 1) * m + j]; if (j) mn[i * m + j][i * m + j - 1] = inp[i * m + j - 1]; if (i < n - 1) mn[i * m + j][(i + 1) * m + j] = inp[(i + 1) * m + j]; if (j < m - 1) mn[i * m + j][i * m + j + 1] = inp[i * m + j + 1]; } for (int k = 0; k < n * m; k++) for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) if (mn[i][k] + mn[k][j] < mn[i][j]) mn[i][j] = mn[i][k] + mn[k][j], mid[i][j] = k; for (int i = 0; i < kk; i++) { int x, y; scanf("%d%d", &x, &y); x--; y--; dp[(1 << i)][x * m + y] = inp[x * m + y]; for (int j = 0; j < n * m; j++) if (inp[x * m + y] + mn[x * m + y][j] < dp[(1 << i)][j]) dp[(1 << i)][j] = inp[x * m + y] + mn[x * m + y][j], from[(1 << i)][j] = x * m + y, is[(1 << i)][j] = true; } int ans = inf, ind = -1; for (int i = 1; i < (1 << kk); i++) { for (int k = 0; k < n * m; k++) { for (int j = 1; j < (1 << kk); j++) { if (((~i) & j) > 0) continue; if (dp[j][k] + dp[i ^ j][k] - inp[k] < dp[i][k]) dp[i][k] = dp[j][k] + dp[i ^ j][k] - inp[k], from[i][k] = j, is[i][k] = false; } for (int j = 0; j < n * m; j++) if (dp[i][k] + mn[k][j] < dp[i][j]) dp[i][j] = dp[i][k] + mn[k][j], from[i][j] = k, is[i][j] = true; if (i == (1 << kk) - 1 && dp[i][k] < ans) ans = min(ans, dp[i][k]), ind = k; } } solve((1 << kk) - 1, ind); cout << ans << endl; for (int i = 0; i < n; i++, puts("")) for (int j = 0; j < m; j++) if (out[i * m + j]) printf("X"); else printf("."); }
#include <bits/stdc++.h> using namespace std; char mmap[1110][1110]; queue<int> qu; int n, m, k, st[1110], nn, mm, ans; int in[1110][1110], pre[1110][1110]; int cost[1110][1110], arr[1110][1110]; int dir[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; void Initial() { ans = (1 << 29); nn = (1 << k), mm = n * m; for (int i = 0; i < nn; ++i) for (int j = 0; j < mm; ++j) cost[j][i] = (1 << 29); memset(st, 0, sizeof(st)); memset(in, 0, sizeof(in)); memset(pre, -1, sizeof(pre)); } void Update(int u, int nst, int w, int fa) { if (cost[u][nst] > w) { cost[u][nst] = w; pre[u][nst] = fa; if (!in[u][nst]) { in[u][nst] = 1; qu.push(u * 1110 + nst); } } } int Check(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m; } void Steiner_Tree() { int i, j, t, u, nst; int xx, yy, x, y; while (!qu.empty()) { u = qu.front() / 1110; nst = qu.front() % 1110; x = u / m, y = u % m; qu.pop(), in[u][nst] = 0; for (i = 0; i < 4; ++i) { xx = x + dir[i][0]; yy = y + dir[i][1]; if (Check(xx, yy) == 0) continue; t = xx * m + yy; Update(t, nst | st[t], cost[u][nst] + arr[xx][yy], u * 1110 + nst); } t = nn - 1 - nst; for (i = (t - 1) & t; i; i = (i - 1) & t) Update(u, nst | i, cost[u][nst] + cost[u][i] - arr[x][y], u * 1110 + nst); } } void Find_Path(int u, int nst) { int x = u / m, y = u % m; mmap[x][y] = 'X'; if (pre[u][nst] == -1) return; int uu = pre[u][nst] / 1110; int nnst = pre[u][nst] % 1110; Find_Path(uu, nnst); if (nst - nnst) Find_Path(uu, nst - nnst); } void Solve_DP() { int i, u, nst; for (i = 0; i < mm; ++i) if (cost[i][nn - 1] < ans) { ans = cost[i][nn - 1]; u = i; } Find_Path(u, nn - 1); } int main() { int i, j, t, x, y; while (scanf("%d%d%d", &n, &m, &k) != EOF) { Initial(); for (i = 0; i < n; ++i) for (j = 0; j < m; ++j) { scanf("%d", &arr[i][j]); mmap[i][j] = '.'; } for (i = 0; i < k; ++i) { scanf("%d%d", &x, &y); x--, y--; t = x * m + y; st[t] = (1 << i); Update(t, st[t], arr[x][y], -1); } Steiner_Tree(); Solve_DP(); printf("%d\n", ans); for (i = 0; i < n; ++i) printf("%s\n", mmap[i]); } }
#include <bits/stdc++.h> using namespace std; const int inf = (int)1e9; const int steps = 300; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, 1, 0, -1}; int n, m; bool need[110][110]; char out[110][110]; int a[110][110], num[110][110]; int d[130][110][110], tp[130][110][110], gomask[130][110][110], gox[130][110][110], goy[130][110][110]; inline bool good(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m; } void path(int mask, int x, int y) { if (tp[mask][x][y] == 1) { out[x][y] = 'X'; return; } if (tp[mask][x][y] == 2) { path(gomask[mask][x][y], x, y); path(mask ^ gomask[mask][x][y], gox[mask][x][y], goy[mask][x][y]); return; } path(mask, gox[mask][x][y], goy[mask][x][y]); out[x][y] = 'X'; } int main() { int k; scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { scanf("%d", &a[i][j]); } } for (int i = 0; i < k; i++) { int x, y; scanf("%d %d", &x, &y); x--; y--; need[x][y] = true; num[x][y] = i; } int all = (1 << k); for (int i = 0; i < all; i++) { for (int j = 0; j < n; j++) { for (int z = 0; z < m; z++) { d[i][j][z] = inf; } } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (need[i][j]) { d[(1 << num[i][j])][i][j] = a[i][j]; tp[(1 << num[i][j])][i][j] = 1; } } } for (int i = 0; i < all; i++) { for (int j = 0; j < n; j++) { for (int z = 0; z < m; z++) { for (int h = 0; h < 4; h++) { int x = j + dx[h], y = z + dy[h]; if (!good(x, y)) { continue; } for (int t = i; t > 0; t = (t - 1) & i) { if (t == i) { continue; } int res = d[t][j][z] + d[i ^ t][x][y]; if (res < d[i][j][z]) { d[i][j][z] = res; tp[i][j][z] = 2; gomask[i][j][z] = t; gox[i][j][z] = x; goy[i][j][z] = y; } } } } } for (int h = 0; h < steps; h++) { for (int j = 0; j < n; j++) { for (int z = 0; z < m; z++) { for (int t = 0; t < 4; t++) { int x = j + dx[t], y = z + dy[t]; if (!good(x, y)) { continue; } int res = d[i][x][y] + a[j][z]; if (res < d[i][j][z]) { d[i][j][z] = res; tp[i][j][z] = 3; gox[i][j][z] = x; goy[i][j][z] = y; } } } } } } int ans = inf, x, y; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (d[all - 1][i][j] < ans) { ans = d[all - 1][i][j]; x = i; y = j; } } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { out[i][j] = '.'; } } path(all - 1, x, y); printf("%d\n", ans); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { printf("%c", out[i][j]); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 100, MAX_K = 7, INF = 0x3F3F3F3F; int dx[] = {0, 1, 0, -1}, dy[] = {1, 0, -1, 0}; int n, m, cnt, bd; int maz[MAX_N][MAX_N], st[MAX_N][MAX_N]; int F[MAX_N][MAX_N][(1 << (MAX_K))]; int pre[MAX_N][MAX_N][(1 << (MAX_K))]; bool inq[MAX_N][MAX_N][(1 << (MAX_K))], vis[MAX_N][MAX_N]; queue<int> Q; void DFS(int x, int y, int bm) { vis[x][y] = 1; if (!pre[x][y][bm]) return; int tx = pre[x][y][bm] >> 24, ty = (pre[x][y][bm] >> 12) & ((1 << (12)) - 1), tbm = pre[x][y][bm] & ((1 << (12)) - 1); DFS(tx, ty, tbm); if (x == tx && y == ty) DFS(tx, ty, (bm - tbm) | st[x][y]); } int main() { cin >> n >> m >> cnt; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { cin >> maz[i][j]; } for (int i = 0, x, y; i < cnt; ++i) { cin >> x >> y; --x; --y; st[x][y] = (1 << (i)); bd += maz[x][y]; maz[x][y] = 0; } memset(F, 0x3F, sizeof F); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) if (st[i][j]) F[i][j][st[i][j]] = 0; for (int bm = 1; bm < (1 << (cnt)); ++bm) { for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { if (st[i][j] && !(bm & st[i][j])) continue; for (int sbm = (bm - 1) & bm; sbm; sbm = (sbm - 1) & bm) { int tmp = F[i][j][sbm | st[i][j]] + F[i][j][(bm - sbm) | st[i][j]] - maz[i][j]; if (tmp < F[i][j][bm]) F[i][j][bm] = tmp, pre[i][j][bm] = (((i) << 24) + ((j) << 12) + ((sbm | st[i][j]))); } if (F[i][j][bm] < INF) Q.push((((i) << 24) + ((j) << 12) + (bm))), inq[i][j][bm] = 1; } while (!Q.empty()) { int x = Q.front() >> 24; int y = (Q.front() >> 12) & ((1 << (12)) - 1); int bm = Q.front() & ((1 << (12)) - 1); Q.pop(); inq[x][y][bm] = 0; for (int i = 0; i < 4; ++i) { int tx = x + dx[i], ty = y + dy[i]; if (tx >= n || ty >= m || tx < 0 || ty < 0) continue; int tbm = bm | st[tx][ty]; if (F[x][y][bm] + maz[tx][ty] < F[tx][ty][tbm]) { F[tx][ty][tbm] = F[x][y][bm] + maz[tx][ty]; pre[tx][ty][tbm] = (((x) << 24) + ((y) << 12) + (bm)); if (!inq[tx][ty][tbm] && bm == tbm) Q.push((((tx) << 24) + ((ty) << 12) + (tbm))), inq[tx][ty][tbm] = 1; } } } } for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) if (st[i][j]) { cout << F[i][j][(1 << (cnt)) - 1] + bd << endl; DFS(i, j, (1 << (cnt)) - 1); for (int x = 0; x < n; ++x) { for (int y = 0; y < m; ++y) { if (st[x][y] || vis[x][y]) putchar('X'); else putchar('.'); } putchar('\n'); } return 0; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int a[1000][1000]; int dp[(1 << 7) + 100][100][100]; bool vis[10000][10000]; int dir[4][2] = {1, 0, -1, 0, 0, 1, 0, -1}; struct node { int mask, x, y; }; node pre[(1 << 7) + 100][100][100]; queue<node> Q; bool vis2[(1 << 7) + 100][100][100]; void solve(int mask, int x, int y) { if (pre[mask][x][y].mask == -1) return; if (pre[mask][x][y].mask == 0) { solve(pre[mask][x][y].x, x, y); solve(pre[mask][x][y].y, x, y); } else { vis[x][y] = true; solve(mask, pre[mask][x][y].x, pre[mask][x][y].y); } } int main() { int x, y; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%d", &a[i][j]); } } for (int mask = 0; mask < (1 << k); mask++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { dp[mask][i][j] = 999999999; pre[mask][i][j] = node{-1, -1, -1}; } } } for (int i = 0; i < k; i++) { scanf("%d%d", &x, &y); dp[(1 << i)][x][y] = a[x][y]; vis[x][y] = true; Q.push(node{1 << i, x, y}); vis2[(1 << i)][x][y] = true; } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (!vis[i][j]) { dp[0][i][j] = a[i][j]; Q.push(node{0, i, j}); vis2[0][i][j] = true; } } } node sta; while (!Q.empty()) { sta = Q.front(); Q.pop(); vis2[sta.mask][sta.x][sta.y] = false; for (int mask = 1; mask < (1 << k); mask++) { if ((mask & sta.mask) == 0) { if (dp[mask + sta.mask][sta.x][sta.y] > dp[sta.mask][sta.x][sta.y] + dp[mask][sta.x][sta.y] - a[sta.x][sta.y]) { pre[mask + sta.mask][sta.x][sta.y] = node{0, sta.mask, mask}; dp[mask + sta.mask][sta.x][sta.y] = dp[sta.mask][sta.x][sta.y] + dp[mask][sta.x][sta.y] - a[sta.x][sta.y]; if (!vis2[mask + sta.mask][sta.x][sta.y]) { vis2[mask + sta.mask][sta.x][sta.y] = true; Q.push(node{mask + sta.mask, sta.x, sta.y}); } } } } for (int i = 0; i < 4; i++) { int dx = sta.x + dir[i][0]; int dy = sta.y + dir[i][1]; if (dx >= 1 && dx <= n && dy >= 1 && dy <= m) { if (dp[sta.mask][dx][dy] > dp[sta.mask][sta.x][sta.y] + a[dx][dy]) { pre[sta.mask][dx][dy] = node{1, sta.x, sta.y}; dp[sta.mask][dx][dy] = dp[sta.mask][sta.x][sta.y] + a[dx][dy]; Q.push(node{sta.mask, dx, dy}); vis2[sta.mask][dx][dy] = true; } } } } int ans = 999999999; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (dp[(1 << k) - 1][i][j] < ans) { ans = dp[(1 << k) - 1][i][j]; sta = node{(1 << k) - 1, i, j}; } } } printf("%d\n", ans); solve(sta.mask, sta.x, sta.y); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { printf("%c", vis[i][j] ? 'X' : '.'); } puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; inline int L(int i) { return i << 1; } inline int R(int i) { return (i << 1) | 1; } inline int B(int i) { return 1 << i; } inline int low_bit(int x) { return x & (-x); } struct node { int x, y; } pre[128][211]; int n, m, k, dp[128][211], st, mn, q[1000100], top, val[211], v[211]; char mat[211][211]; int dir[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; void dfs(int state, int id) { int x = id / n, y = id % n, u = pre[state][id].x, v = pre[state][id].y; mat[x][y] = 'X'; if (u) dfs(u, v); if (u && u != state) dfs(u ^ state, v); } int inboard(int x, int y) { return 0 <= x && x < m && 0 <= y && y < n; } void spfa() { for (int i = 1; i <= st; i++) { for (int u = 0; u < mn; u++) for (int v = i & (i - 1); v; v = i & (v - 1)) { int vv = dp[v][u] + dp[i ^ v][u] - val[u]; if (vv < dp[i][u]) dp[i][u] = vv, pre[i][u].x = v, pre[i][u].y = u; } top = mn; for (int j = 0; j < mn; j++) q[j] = j, v[j] = 1; for (int j = 0; j < top; j++) { int now = q[j], to, vv; v[now] = 0; for (int u = 0; u < 4; u++) { int x = now / n + dir[u][0], y = now % n + dir[u][1]; if (inboard(x, y)) { to = x * n + y; vv = dp[i][now] + val[to]; if (vv < dp[i][to]) { dp[i][to] = vv, pre[i][to].x = i, pre[i][to].y = now; if (!v[to]) { q[top++] = to; v[to] = 1; } } } } } } } int main() { int x, y; for (; ~scanf("%d%d%d", &m, &n, &k);) { st = (1 << k) - 1; mn = n * m; memset(pre, 0, sizeof(pre)); memset(dp, 0x3f, sizeof(dp)); for (int i = 0; i < mn; i++) scanf("%d", &val[i]); for (int i = 0; i < k; i++) { scanf("%d%d", &x, &y); --x, --y; int t = x * n + y; dp[1 << i][t] = val[t]; } spfa(); int ret = 0x3ffffff, id; for (int i = 0; i < mn; i++) { if (ret > dp[st][i]) ret = dp[st][i], id = i; } printf("%d\n", ret); for (int i = 0; i < m; i++) for (int j = 0; j < n; j++) mat[i][j] = '.'; dfs(st, id); for (int i = 0; i < m; i++, puts("")) for (int j = 0; j < n; j++) printf("%c", mat[i][j]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 7; const int maxk = 10; const int maxn = 105; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; int n, m, t, ax, ay; int a[maxn][maxn]; int dp[1 << maxk][maxn][maxn]; bool ans[maxn][maxn]; pair<int, pair<int, int> > f[1 << maxk][maxn][maxn]; bool inMap(int x, int y) { return (x >= 0 && x < n && y >= 0 && y < m); } bool id(int x, int y) { return x * m + y; } void dijkstra(int msk) { priority_queue<pair<int, pair<int, int> >, vector<pair<int, pair<int, int> > >, greater<pair<int, pair<int, int> > > > q; for (int x = (0); x < (n); ++x) for (int y = (0); y < (m); ++y) q.push(make_pair(dp[msk][x][y], make_pair(x, y))); while (!q.empty()) { int d = q.top().first; int x = q.top().second.first, y = q.top().second.second; q.pop(); if (dp[msk][x][y] != d) continue; for (int k = (0); k < (4); ++k) { int nx = x + dx[k], ny = y + dy[k]; if (!inMap(nx, ny)) continue; if (dp[msk][nx][ny] > dp[msk][x][y] + a[nx][ny]) { dp[msk][nx][ny] = dp[msk][x][y] + a[nx][ny]; q.push(make_pair(dp[msk][nx][ny], make_pair(nx, ny))); f[msk][nx][ny] = make_pair(1, make_pair(x, y)); } } } return; } void goBack(int msk, int x, int y) { ans[x][y] = true; if (~f[msk][x][y].first) { if (!f[msk][x][y].first) { goBack(f[msk][x][y].second.first, x, y); goBack(f[msk][x][y].second.second, x, y); } else goBack(msk, f[msk][x][y].second.first, f[msk][x][y].second.second); } return; } int main() { scanf("%d%d%d", &n, &m, &t); for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) scanf("%d", &a[i][j]); for (int msk = (0); msk < (1 << t); ++msk) for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) dp[msk][i][j] = INF; for (int i = (0); i < (t); ++i) { int x, y; scanf("%d%d", &x, &y); --x; --y; dp[1 << i][x][y] = a[x][y]; f[1 << i][x][y] = make_pair(-1, make_pair(x, y)); } for (int msk = (0); msk < (1 << t); ++msk) { for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) { for (int mx = msk; mx; mx = ((mx - 1) & msk)) if (dp[mx][i][j] != INF && dp[msk ^ mx][i][j] != INF) { int my = msk ^ mx; if (dp[msk][i][j] > dp[mx][i][j] + dp[my][i][j] - a[i][j]) { dp[msk][i][j] = dp[mx][i][j] + dp[my][i][j] - a[i][j]; f[msk][i][j] = make_pair(0, make_pair(mx, my)); } } } dijkstra(msk); } for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) if (dp[(1 << t) - 1][i][j] < dp[(1 << t) - 1][ax][ay]) ax = i, ay = j; printf("%d\n", dp[(1 << t) - 1][ax][ay]); goBack((1 << t) - 1, ax, ay); for (int i = (0); i < (n); ++i) { for (int j = (0); j < (m); ++j) putchar(ans[i][j] ? 'X' : '.'); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, s, M[128][128]; vector<vector<int> > dist[128][128]; vector<vector<pair<int, int> > > paidist[128][128]; short int terminal[128][128]; pair<int, int> S[12]; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; int PD[(1 << 7)][101][101][2]; pair<int, pair<int, int> > pai[(1 << 7)][101][101][2]; char R[128][128]; inline void imprime() { for (int i = 0; i < n; i++) printf("%s\n", R[i]); } void pinta_caminho(int i1, int j1, int i2, int j2) { if (i1 == i2 and j1 == j2) { R[i1][j1] = 'X'; return; } pair<int, int> p = paidist[i1][j1][i2][j2]; if (p.first == i1 and p.second == j1) { R[i1][j1] = 'X'; R[i2][j2] = 'X'; return; } pinta_caminho(i1, j1, p.first, p.second); pinta_caminho(p.first, p.second, i2, j2); } void pinta_arvore(int bm, int i, int j, int pfolha) { if (bm == 0) { R[i][j] = 'X'; return; } if (__builtin_popcount(bm) == 1) { int t = __builtin_ctz(bm); pinta_caminho(S[t].first, S[t].second, i, j); return; } pair<int, pair<int, int> > u = pai[bm][i][j][pfolha]; int nbm = u.first; int ni = u.second.first, nj = u.second.second; if (bm != nbm) { pinta_arvore(nbm, i, j, 1); pinta_arvore(bm ^ nbm, i, j, 1); return; } pinta_caminho(i, j, ni, nj); pinta_arvore(bm, ni, nj, 0); } int calc(int bm, int i, int j, int pfolha) { if (bm == 0) return M[i][j]; int &pd = PD[bm][i][j][pfolha]; pair<int, pair<int, int> > &papai = pai[bm][i][j][pfolha]; if (pd != -1) return pd; if (__builtin_popcount(bm) == 1) { int t = __builtin_ctz(bm); return pd = dist[S[t].first][S[t].second][i][j]; } int best = 0x3f3f3f3f; int x = (bm - 1) & bm; while (x) { int t1 = calc(x, i, j, 1); int t2 = calc(bm ^ x, i, j, 1); int opc = t1 + t2 - (x ? M[i][j] : 0); if (opc < best) { best = opc; papai = pair<int, pair<int, int> >(x, pair<int, int>(i, j)); } x = (x - 1) & bm; } if (pfolha) { for (int k = 0; k < n; k++) for (int l = 0; l < m; l++) if (k != i or l != j) { int opc = dist[i][j][k][l] + calc(bm, k, l, 0) - M[k][l]; if (opc < best) { best = opc; papai = pair<int, pair<int, int> >(bm, pair<int, int>(k, l)); } } } return pd = best; } int main() { scanf("%d %d %d", &n, &m, &s); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { R[i][j] = '.'; dist[i][j].resize(n); paidist[i][j].resize(n); for (int k = 0; k < n; k++) { dist[i][j][k].resize(m); paidist[i][j][k].resize(m); for (int l = 0; l < m; l++) dist[i][j][k][l] = 0x3f3f3f3f; } } R[i][m] = '\0'; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { scanf("%d", &M[i][j]); dist[i][j][i][j] = M[i][j]; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int k = 0; k < 4; k++) { int ni = i + dx[k]; int nj = j + dy[k]; if (!(0 <= ni and ni < n and 0 <= nj and nj < m)) continue; dist[i][j][ni][nj] = M[i][j] + M[ni][nj]; paidist[i][j][ni][nj] = pair<int, int>(i, j); } for (int k1 = 0; k1 < n; k1++) for (int k2 = 0; k2 < m; k2++) for (int i1 = 0; i1 < n; i1++) for (int i2 = 0; i2 < m; i2++) for (int j1 = 0; j1 < n; j1++) for (int j2 = 0; j2 < m; j2++) { int opc = dist[i1][i2][k1][k2] + dist[k1][k2][j1][j2] - M[k1][k2]; if (opc < dist[i1][i2][j1][j2]) { dist[i1][i2][j1][j2] = opc; paidist[i1][i2][j1][j2] = pair<int, int>(k1, k2); } } memset(terminal, 0xff, sizeof(terminal)); for (int i = 0; i < s; i++) { int a, b; scanf("%d %d", &a, &b); a--; b--; terminal[a][b] = i; S[i] = pair<int, int>(a, b); } if (s == 1) { printf("%d\n", M[S[0].first][S[0].second]); R[S[0].first][S[0].second] = 'X'; imprime(); return 0; } if (s == 2) { printf("%d\n", dist[S[0].first][S[0].second][S[1].first][S[1].second]); pinta_caminho(S[0].first, S[0].second, S[1].first, S[1].second); imprime(); return 0; } memset(PD, 0xff, sizeof(PD)); int resp = calc((1 << s) - 1, S[s - 1].first, S[s - 1].second, 1); int bm = (1 << s) - 1, i = S[s - 1].first, j = S[s - 1].second, pf = 1; pinta_arvore(bm, i, j, pf); printf("%d\n", resp); imprime(); return 0; }
#include <bits/stdc++.h> using namespace std; int t; int n, m, k; const int N = 110; int a[N][N]; int dx[4] = {0, 1, 0, -1}; int dy[4] = {1, 0, -1, 0}; vector<int> e[N * N], val[N * N]; int dp[N * N][1 << 7]; vector<int> nodes[N * N][1 << 7]; bool u[N * N], ans[N * N]; struct ele { int cost; vector<int> node; int vex; }; bool operator<(ele x, ele y) { return x.cost > y.cost; } priority_queue<ele> que; void vclear(int i, int j) { int t1 = (i - 1) * m + j; e[t1].clear(); val[t1].clear(); } void addedge(int i, int j, int tx, int ty, int w) { int t1 = (i - 1) * m + j; int t2 = (tx - 1) * m + ty; e[t1].push_back(t2); val[t1].push_back(w); } vector<int> uni(vector<int> a, vector<int> b) { vector<int> ret; for (auto v : a) ret.push_back(v); for (auto v : b) ret.push_back(v); return ret; } void dijkstra(int s) { memset(u, 0, sizeof(u)); while (!que.empty()) { ele tmp = que.top(); que.pop(); int tp = tmp.vex; if (u[tp] == 1) continue; u[tp] = 1; dp[tp][s] = tmp.cost; nodes[tp][s] = tmp.node; for (int i = (0); i < (e[tp].size()); i++) { int v = e[tp][i]; if (u[v] == 1) continue; ele tt; tt.vex = v; tt.cost = tmp.cost + val[tp][i]; tt.node = tmp.node; tt.node.push_back(v); que.push(tt); } } } int main() { while (cin >> n >> m >> k) { int nn = n * m; for (int i = (1); i < (n + 1); i++) for (int j = (1); j < (m + 1); j++) { cin >> a[i][j]; vclear(i, j); } for (int i = (1); i < (n + 1); i++) for (int j = (1); j < (m + 1); j++) { for (int _ = (0); _ < (4); _++) { int tx = i + dx[_]; int ty = j + dy[_]; if (tx < 1 || tx > n || ty < 1 || ty > m) continue; addedge(i, j, tx, ty, a[tx][ty]); } } memset(dp, 0x3f, sizeof(dp)); int tpos; for (int i = (1); i < (k + 1); i++) { int tx, ty; cin >> tx >> ty; int pos = (tx - 1) * m + ty; tpos = pos; dp[pos][1 << (i - 1)] = a[tx][ty]; nodes[pos][1 << (i - 1)].clear(); nodes[pos][1 << (i - 1)].push_back(pos); } for (int s = (1); s < (1 << k); s++) { for (int ii = (1); ii < (n + 1); ii++) for (int jj = (1); jj < (m + 1); jj++) { int i = (ii - 1) * m + jj; for (int sub = s & (s - 1); sub; sub = s & (sub - 1)) { if (dp[i][s] > dp[i][sub] + dp[i][s ^ sub] - a[ii][jj]) { dp[i][s] = dp[i][sub] + dp[i][s ^ sub] - a[ii][jj]; nodes[i][s] = uni(nodes[i][sub], nodes[i][s ^ sub]); } } if (dp[i][s] != -1) { ele tmp; tmp.cost = dp[i][s]; tmp.node = nodes[i][s]; tmp.vex = i; que.push(tmp); } } dijkstra(s); } cout << dp[tpos][(1 << k) - 1] << '\n'; memset(ans, 0, sizeof(ans)); for (auto v : nodes[tpos][(1 << k) - 1]) ans[v] = 1; int tt = 0; for (int i = (1); i < (n + 1); i++) { for (int j = (1); j < (m + 1); j++) { int pos = (i - 1) * m + j; if (ans[pos] == 1) cout << 'X'; else cout << '.'; } cout << '\n'; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}, bi[11] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024}; const int mn = 210, ml = 3001000, inf = 1 << 30; int f[mn][mn], fa[mn][mn], x1[mn][mn], x2[mn][mn]; int a[mn][mn], n, m, k; int q[ml], qz[ml], l, r; bool vis[mn][mn], g[mn][mn]; int pos(int x, int y) { return (x - 1) * m + y; } void dfs(int r, int z) { if (!r) return; vis[(r - 1) / m + 1][(r - 1) % m + 1] = 1; if (!x1[r][z]) { dfs(fa[r][z], z); return; } dfs(fa[r][z], x1[r][z]); dfs(fa[r][z], x2[r][z]); } int main() { scanf("%d%d%d", &n, &m, &k); int i, j, x, y, z, u, v, ans = inf, t, p; for (i = 1; i <= n; ++i) for (j = 1; j <= m; ++j) scanf("%d", &a[i][j]); fill(&f[0][0], &f[mn - 1][mn - 1], inf); for (i = 1; i <= k; ++i) { scanf("%d%d", &x, &y); t = pos(x, y); q[++r] = t, qz[r] = bi[i - 1]; f[t][bi[i - 1]] = a[x][y]; } l = 1; while (l <= r) { x = (q[l] - 1) / m + 1, y = (q[l] - 1) % m + 1, z = qz[l]; t = pos(x, y); for (i = 0; i <= bi[k] - 1; ++i) { if (f[t][z] + f[t][i] - a[x][y] < f[t][z | i]) { f[t][z | i] = f[t][z] + f[t][i] - a[x][y]; fa[t][z | i] = t; x1[t][z | i] = z, x2[t][z | i] = i; if (!g[t][z | i]) { q[++r] = t, qz[r] = z | i; } } } for (i = 0; i <= 3; ++i) { u = x + dx[i], v = y + dy[i]; if (u < 1 || u > n || v < 1 || v > m) continue; p = pos(u, v); if (f[t][z] + a[u][v] < f[p][z]) { f[p][z] = f[t][z] + a[u][v]; fa[p][z] = t; x1[p][z] = x2[p][z] = 0; if (!g[p][z]) { q[++r] = p, qz[r] = z; } } } ++l; } for (i = 1; i <= n * m; ++i) if (f[i][bi[k] - 1] < ans) ans = f[i][bi[k] - 1], x = i; dfs(x, bi[k] - 1); printf("%d\n", ans); for (i = 1; i <= n; ++i) { for (j = 1; j <= m; ++j) printf("%c", vis[i][j] ? 'X' : '.'); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int wayx[4] = {0, 0, -1, 1}; const int wayy[4] = {1, -1, 0, 0}; int n, m, k; int a[110][110]; int c[110][110]; int f[110][110][1 << 7]; int pp[110][110][1 << 7]; int b[110][110]; const int inf = 1e9; struct node { int x, y, s, z; friend bool operator<(node a, node b) { return a.z > b.z; } }; vector<node> way[110][110][1 << 7]; priority_queue<node> q; queue<node> tmp; int main() { scanf("%d %d %d", &n, &m, &k); 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 l = 0; l < (1 << k); l++) f[i][j][l] = inf; for (int i = 1; i <= k; i++) { int x, y; scanf("%d %d", &x, &y); c[x][y] = 1 << (i - 1); f[x][y][c[x][y]] = a[x][y]; q.push({x, y, c[x][y], a[x][y]}); } while (!q.empty()) { node p = q.top(); q.pop(); if (pp[p.x][p.y][p.s]) continue; pp[p.x][p.y][p.s] = 1; for (int i = 0; i < 4; i++) { int nx = p.x + wayx[i], ny = p.y + wayy[i], ns; if (nx < 1 || nx > n || ny < 1 || ny > m) continue; ns = p.s | c[nx][ny]; if (f[nx][ny][ns] > p.z + a[nx][ny]) { f[nx][ny][ns] = p.z + a[nx][ny]; way[nx][ny][ns].clear(); way[nx][ny][ns].push_back({p.x, p.y, p.s}); q.push({nx, ny, ns, f[nx][ny][ns]}); } } int cf = (~p.s) & ((1 << k) - 1); for (int i = cf; i; i = (i - 1) & cf) { int nx = p.x, ny = p.y, ns = p.s | i; if (f[nx][ny][i] == inf) continue; if (f[nx][ny][ns] > p.z + f[nx][ny][i] - a[nx][ny]) { f[nx][ny][ns] = p.z + f[nx][ny][i] - a[nx][ny]; way[nx][ny][ns].clear(); way[nx][ny][ns].push_back({nx, ny, p.s}); way[nx][ny][ns].push_back({nx, ny, i}); q.push({nx, ny, ns, f[nx][ny][ns]}); } } } int ans = inf; node p; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (ans > f[i][j][(1 << k) - 1]) { ans = min(ans, f[i][j][(1 << k) - 1]); p = {i, j, (1 << k) - 1}; } } printf("%d\n", ans); tmp.push(p); while (!tmp.empty()) { node p = tmp.front(); tmp.pop(); b[p.x][p.y] = 1; for (int i = 0; i < way[p.x][p.y][p.s].size(); i++) tmp.push(way[p.x][p.y][p.s][i]); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) if (b[i][j]) printf("X"); else printf("."); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, s, M[128][128]; vector<vector<int> > dist[128][128]; vector<vector<pair<int, int> > > paidist[128][128]; short int terminal[128][128]; pair<int, int> S[12]; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; int PD[(1 << 7)][101][101][2]; bool split[(1 << 7)][101][101][2]; pair<pair<int, int>, pair<int, int> > pai[(1 << 7)][101][101][2]; char R[128][128]; inline void imprime() { for (int i = 0; i < n; i++) printf("%s\n", R[i]); } void pinta_caminho(int i1, int j1, int i2, int j2) { if (i1 == i2 and j1 == j2) { R[i1][j1] = 'X'; return; } pair<int, int> p = paidist[i1][j1][i2][j2]; if (p.first == i1 and p.second == j1) { R[i1][j1] = 'X'; R[i2][j2] = 'X'; return; } pinta_caminho(i1, j1, p.first, p.second); pinta_caminho(p.first, p.second, i2, j2); } void pinta_arvore(int bm, int i, int j, int pfolha) { if (bm == 0) { R[i][j] = 'X'; return; } if (__builtin_popcount(bm) == 1) { int t = __builtin_ctz(bm); pinta_caminho(S[t].first, S[t].second, i, j); return; } pair<pair<int, int>, pair<int, int> > u = pai[bm][i][j][pfolha]; int nbm = u.first.first, npfolha = u.first.second; int ni = u.second.first, nj = u.second.second; if (split[bm][i][j][pfolha]) { pinta_arvore(nbm, i, j, npfolha); pinta_arvore(bm ^ nbm, i, j, npfolha); return; } pinta_caminho(i, j, ni, nj); pinta_arvore(nbm, ni, nj, npfolha); } int calc(int bm, int i, int j, int pfolha) { if (bm == 0) return M[i][j]; int &pd = PD[bm][i][j][pfolha]; pair<pair<int, int>, pair<int, int> > &papai = pai[bm][i][j][pfolha]; bool &sp = split[bm][i][j][pfolha]; if (pd != -1) return pd; if (__builtin_popcount(bm) == 1) { int t = __builtin_ctz(bm); return pd = dist[S[t].first][S[t].second][i][j]; } int best = 0x3f3f3f3f; int x = (bm - 1) & bm; while (x) { int t1 = calc(x, i, j, 1); int t2 = calc(bm ^ x, i, j, 1); int opc = t1 + t2 - M[i][j]; if (opc < best) { best = opc; papai = pair<pair<int, int>, pair<int, int> >(pair<int, int>(x, 1), pair<int, int>(i, j)); sp = true; } x = (x - 1) & bm; } if (pfolha) { for (int k = 0; k < s; k++) if (bm & (1 << k)) { int opc = dist[i][j][S[k].first][S[k].second] + calc(bm ^ (1 << k), S[k].first, S[k].second, 1) - M[S[k].first][S[k].second]; if (opc < best) { best = opc; sp = false; papai = pair<pair<int, int>, pair<int, int> >( pair<int, int>(bm ^ (1 << k), 1), pair<int, int>(S[k].first, S[k].second)); } } for (int k = 0; k < n; k++) for (int l = 0; l < m; l++) if ((k != i or l != j) and terminal[k][l] < 0) { int opc = dist[i][j][k][l] + calc(bm, k, l, 0) - M[k][l]; if (opc < best) { best = opc; sp = false; papai = pair<pair<int, int>, pair<int, int> >(pair<int, int>(bm, 0), pair<int, int>(k, l)); } } } return pd = best; } int main() { scanf("%d %d %d", &n, &m, &s); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { R[i][j] = '.'; dist[i][j].resize(n); paidist[i][j].resize(n); for (int k = 0; k < n; k++) { dist[i][j][k].resize(m); paidist[i][j][k].resize(m); for (int l = 0; l < m; l++) dist[i][j][k][l] = 0x3f3f3f3f; } } R[i][m] = '\0'; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { scanf("%d", &M[i][j]); dist[i][j][i][j] = M[i][j]; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int k = 0; k < 4; k++) { int ni = i + dx[k]; int nj = j + dy[k]; if (!(0 <= ni and ni < n and 0 <= nj and nj < m)) continue; dist[i][j][ni][nj] = M[i][j] + M[ni][nj]; paidist[i][j][ni][nj] = pair<int, int>(i, j); } for (int k1 = 0; k1 < n; k1++) for (int k2 = 0; k2 < m; k2++) for (int i1 = 0; i1 < n; i1++) for (int i2 = 0; i2 < m; i2++) for (int j1 = 0; j1 < n; j1++) for (int j2 = 0; j2 < m; j2++) { int opc = dist[i1][i2][k1][k2] + dist[k1][k2][j1][j2] - M[k1][k2]; if (opc < dist[i1][i2][j1][j2]) { dist[i1][i2][j1][j2] = opc; paidist[i1][i2][j1][j2] = pair<int, int>(k1, k2); } } memset(terminal, 0xff, sizeof(terminal)); for (int i = 0; i < s; i++) { int a, b; scanf("%d %d", &a, &b); a--; b--; terminal[a][b] = i; S[i] = pair<int, int>(a, b); } if (s == 1) { printf("%d\n", M[S[0].first][S[0].second]); R[S[0].first][S[0].second] = 'X'; imprime(); return 0; } if (s == 2) { printf("%d\n", dist[S[0].first][S[0].second][S[1].first][S[1].second]); pinta_caminho(S[0].first, S[0].second, S[1].first, S[1].second); imprime(); return 0; } memset(PD, 0xff, sizeof(PD)); int resp = calc((1 << s) - 1 - 1, S[0].first, S[0].second, 1); int bm = (1 << s) - 1 - 1, i = S[0].first, j = S[0].second, pf = 1; pinta_arvore(bm, i, j, pf); printf("%d\n", resp); imprime(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; template <typename T> using lim = numeric_limits<T>; template <typename T> istream& operator>>(istream& is, vector<T>& a) { for (T& x : a) { is >> x; } return is; } template <typename T> struct grid : public vector<vector<T>> { int n, m; grid(int n, int m) : vector<vector<T>>(n, vector<T>(m)), n(n), m(m) {} grid(int n, int m, T zero) : vector<vector<T>>(n, vector<T>(m, zero)), n(n), m(m) {} grid(const grid& a) : vector<vector<T>>(a), n(a.n), m(a.m) {} }; const int N = 100, K = 7, INF = 1000 * N * N; int a[N + 1][N + 1], x[K], y[K], opt[1 << K][N + 1][N + 1], pred_mask[1 << K][N + 1][N + 1], pred_i[1 << K][N + 1][N + 1], pred_j[1 << K][N + 1][N + 1]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, m, k; cin >> n >> m >> k; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { cin >> a[i][j]; } } grid<grid<int>> d(n + 1, m + 1, grid<int>(n + 1, m + 1)); grid<grid<int>> through_i(n + 1, m + 1, grid<int>(n + 1, m + 1)); grid<grid<int>> through_j(n + 1, m + 1, grid<int>(n + 1, m + 1)); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { for (int ii = 1; ii <= n; ii++) { for (int jj = 1; jj <= m; jj++) { d[i][j][ii][jj] = INF; } } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { d[i][j][i][j] = a[i][j]; for (int di = -1; di <= 1; di++) { for (int dj = -1; dj <= 1; dj++) { int ni = i + di, nj = j + dj; if (abs(di) + abs(dj) == 1 and 1 <= ni and ni <= n and 1 <= nj and nj <= m) { d[i][j][ni][nj] = a[i][j] + a[ni][nj]; } } } } } for (int i = 0; i < k; i++) { cin >> x[i] >> y[i]; } for (int kx = 1; kx <= n; kx++) { for (int ky = 1; ky <= m; ky++) { for (int ix = 1; ix <= n; ix++) { for (int iy = 1; iy <= m; iy++) { for (int jx = 1; jx <= n; jx++) { for (int jy = 1; jy <= m; jy++) { if (d[ix][iy][jx][jy] > d[ix][iy][kx][ky] + d[kx][ky][jx][jy] - a[kx][ky]) { d[ix][iy][jx][jy] = d[ix][iy][kx][ky] + d[kx][ky][jx][jy] - a[kx][ky]; through_i[ix][iy][jx][jy] = kx; through_j[ix][iy][jx][jy] = ky; } } } } } } } for (int mask = 1; mask < 1 << k; mask++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (__builtin_popcount(mask) == 1) { opt[mask][i][j] = d[x[__builtin_ctz(mask)]][y[__builtin_ctz(mask)]][i][j]; } else { opt[mask][i][j] = lim<int>::max(); for (int x = (mask - 1) & mask; x > 0; x = (x - 1) & mask) { for (int ii = 1; ii <= n; ii++) { for (int jj = 1; jj <= m; jj++) { if (opt[mask][i][j] > opt[x][ii][jj] + opt[mask ^ x][ii][jj] + d[ii][jj][i][j] - 2 * a[ii][jj]) { opt[mask][i][j] = opt[x][ii][jj] + opt[mask ^ x][ii][jj] + d[ii][jj][i][j] - 2 * a[ii][jj]; pred_mask[mask][i][j] = x, pred_i[mask][i][j] = ii, pred_j[mask][i][j] = jj; } } } } } } } } int ans = lim<int>::max(), opt_i = 0, opt_j = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (ans > opt[(1 << k) - 1][i][j]) { ans = opt[(1 << k) - 1][i][j]; opt_i = i, opt_j = j; } } } function<void(int, int, int, int)> mark_path = [&](int i, int j, int ii, int jj) { if (abs(ii - i) + abs(jj - j) <= 1) { a[i][j] = a[ii][jj] = 0; } else { mark_path(i, j, through_i[i][j][ii][jj], through_j[i][j][ii][jj]); mark_path(through_i[i][j][ii][jj], through_j[i][j][ii][jj], ii, jj); } }; function<void(int, int, int)> construct_path = [&](int mask, int i, int j) { if (__builtin_popcount(mask) == 1) { mark_path(x[__builtin_ctz(mask)], y[__builtin_ctz(mask)], i, j); } else { mark_path(i, j, pred_i[mask][i][j], pred_j[mask][i][j]); construct_path(pred_mask[mask][i][j], pred_i[mask][i][j], pred_j[mask][i][j]); construct_path(mask ^ pred_mask[mask][i][j], pred_i[mask][i][j], pred_j[mask][i][j]); } }; construct_path((1 << k) - 1, opt_i, opt_j); cout << ans << endl; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { cout << (a[i][j] ? '.' : 'X'); } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int dx[] = {0, 0, -1, 1}, dy[] = {1, -1, 0, 0}; struct node { int x, y, sta, cost; } p, now; int n, m, k, a[105][105], dp[105][105][135], c[105][105], ans = 0x7fffffff; bool inq[105][105][135], use[105][105]; priority_queue<node> q; vector<node> way[105][105][135]; queue<node> tmp; bool operator<(node a, node b) { return a.cost > b.cost; } inline void read(int& x) { x = 0; char c = getchar(); while (c > '9' || c < '0') c = getchar(); while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); } int main() { read(n), read(m), read(k); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) read(a[i][j]); memset(dp, 0x3f, sizeof(dp)); for (int i = 0, x, y; i < k; i++) { read(x), read(y); c[x][y] = 1 << i; dp[x][y][c[x][y]] = a[x][y]; q.push((node){x, y, c[x][y], a[x][y]}); } while (!q.empty()) { now = q.top(); q.pop(); if (inq[now.x][now.y][now.sta]) continue; inq[now.x][now.y][now.sta] = 1; for (int i = 0; i < 4; i++) { int xx = now.x + dx[i], yy = now.y + dy[i], sta; if (xx < 1 || xx > n || yy < 1 || yy > m) continue; sta = now.sta | c[xx][yy]; if (dp[xx][yy][sta] > now.cost + a[xx][yy]) { dp[xx][yy][sta] = now.cost + a[xx][yy]; way[xx][yy][sta].clear(); way[xx][yy][sta].push_back(now); q.push((node){xx, yy, sta, dp[xx][yy][sta]}); } } int cf = ((1 << k) - 1) & (~now.sta); for (int i = cf; i; i = (i - 1) & cf) { int xx = now.x, yy = now.y, sta = now.sta | i; if (dp[xx][yy][i] == 0x3f3f3f3f) continue; if (dp[xx][yy][sta] > dp[xx][yy][i] + now.cost - a[xx][yy]) { dp[xx][yy][sta] = dp[xx][yy][i] + now.cost - a[xx][yy]; way[xx][yy][sta].clear(); way[xx][yy][sta].push_back((node){xx, yy, i}); way[xx][yy][sta].push_back((node){xx, yy, now.sta}); q.push((node){xx, yy, sta, dp[xx][yy][sta]}); } } } for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (ans > dp[i][j][(1 << k) - 1]) ans = dp[i][j][(1 << k) - 1], p = (node){i, j, (1 << k) - 1}; printf("%d\n", ans); tmp.push(p); while (!tmp.empty()) { p = tmp.front(); tmp.pop(); use[p.x][p.y] = 1; for (int i = 0; i < way[p.x][p.y][p.sta].size(); i++) tmp.push(way[p.x][p.y][p.sta][i]); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) putchar(use[i][j] ? 'X' : '.'); putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x7f7f7f7f; int dx[4] = {-1, 0, 1, 0}; int dy[4] = {0, 1, 0, -1}; int n, m, k, cnt; int cost[110][110], num[110][110], px[10], py[10]; int d[210][1 << 7], inq[210][1 << 7], pre[210][1 << 7][2]; char grid[110][110]; queue<pair<int, int> > q; inline int checkmin(int &a, int b) { return b < a ? (a = b), 1 : 0; } void spfa() { for (int i = 0; i < k; i++) pre[num[px[i]][py[i]]][1 << i][0] = -1, pre[num[px[i]][py[i]]][0][0] = -1, d[num[px[i]][py[i]]][1 << i] = cost[px[i]][py[i]], inq[num[px[i]][py[i]]][1 << i] = 1, q.push( pair<int, int>(num[px[i]][py[i]], 1 << i)); while (!q.empty()) { pair<int, int> t = q.front(); q.pop(); inq[t.first][t.second] = 0; int qx = (t.first - 1) / m + 1, qy = (t.first - 1) % m + 1; for (int i = 0; i < 4; i++) { int tn = num[qx + dx[i]][qy + dy[i]]; if (!tn || d[tn][0] >= INF) continue; if (checkmin(d[tn][t.second], d[t.first][t.second] + d[tn][0])) { pre[tn][t.second][0] = 0, pre[tn][t.second][1] = t.first; if (!inq[tn][t.second]) q.push(pair<int, int>(tn, t.second)), inq[tn][t.second] = 1; } } for (int i = 0; i < (1 << k); i++) if (d[t.first][i] < INF && !(i & t.second)) if (checkmin(d[t.first][i | t.second], d[t.first][i] + d[t.first][t.second] - cost[qx][qy])) { pre[t.first][i | t.second][0] = 1; pre[t.first][i | t.second][1] = i; if (!inq[t.first][i | t.second]) q.push(pair<int, int>(t.first, i | t.second)), inq[t.first][i | t.second] = 1; } } } void getAns(int pos, int mask) { grid[(pos - 1) / m + 1][(pos - 1) % m + 1] = 'X'; if (pre[pos][mask][0] == -1) return; if (pre[pos][mask][0]) getAns(pos, pre[pos][mask][1]), getAns(pos, mask ^ pre[pos][mask][1]); else getAns(pre[pos][mask][1], mask); } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &cost[i][j]), num[i][j] = ++cnt, grid[i][j] = '.'; for (int i = 0; i < k; i++) scanf("%d%d", &px[i], &py[i]); memset(d, 0x7f, sizeof(d)); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) d[num[i][j]][0] = cost[i][j]; spfa(); int ans = INF, ansx, ansy; for (int i = 1; i <= cnt; i++) if (checkmin(ans, d[i][(1 << k) - 1])) ansx = i, ansy = (1 << k) - 1; printf("%d\n", ans); getAns(ansx, ansy); for (int i = 1; i <= n; i++) puts(grid[i] + 1); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 128; int dx[4] = {0, 0, -1, 1}; int dy[4] = {-1, 1, 0, 0}; int N, M, K; int x[maxn], y[maxn], a[maxn][maxn]; int dp[maxn][maxn][maxn], path[maxn][maxn][maxn][3]; string ans[maxn]; void bellman_ford(int mask) { for (int iter = 0; iter < N * M + 10; iter++) { for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) for (int k = 0; k < 4; k++) { int xx = i + dx[k], yy = j + dy[k]; if (xx >= 0 && xx < N && yy >= 0 && yy < M) { int tmp = dp[i][j][mask] + a[xx][yy]; if (tmp < dp[xx][yy][mask]) { dp[xx][yy][mask] = tmp; path[xx][yy][mask][0] = 0; path[xx][yy][mask][1] = i; path[xx][yy][mask][2] = j; } } } } } void Print(int xx, int yy, int mask) { ans[xx][yy] = 'X'; if (path[xx][yy][mask][0] == 0) Print(path[xx][yy][mask][1], path[xx][yy][mask][2], mask); if (path[xx][yy][mask][0] == 1) { Print(xx, yy, path[xx][yy][mask][1]); Print(xx, yy, path[xx][yy][mask][2]); } } int main() { cin >> N >> M >> K; for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) cin >> a[i][j]; for (int i = 0; i < K; i++) { cin >> x[i] >> y[i]; x[i]--; y[i]--; } for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) for (int k = 0; k < (1 << K); k++) dp[i][j][k] = (1 << 29); for (int i = 0; i < K; i++) { dp[x[i]][y[i]][1 << i] = a[x[i]][y[i]]; path[x[i]][y[i]][1 << i][0] = 2; } for (int mask = 0; mask < (1 << K); mask++) { for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) { for (int mask2 = 0; mask2 < mask; mask2++) if (!(~mask & mask2)) { int tmp = dp[i][j][mask2] + dp[i][j][mask - mask2] - a[i][j]; if (tmp < dp[i][j][mask]) { dp[i][j][mask] = tmp; path[i][j][mask][0] = 1; path[i][j][mask][1] = mask2; path[i][j][mask][2] = mask - mask2; } } } bellman_ford(mask); } int ret = (1 << 29); for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) { ret = min(ret, dp[i][j][(1 << K) - 1]); } cout << ret << endl; for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) ans[i] += '.'; for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) if (dp[i][j][(1 << K) - 1] == ret) { Print(i, j, (1 << K) - 1); for (int k = 0; k < N; k++) cout << ans[k] << endl; return 0; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class P, class Q> inline void mmin(P &a, Q b) { if (b < a) a = b; } template <class P, class Q> inline void mmax(P &a, Q b) { if (a < b) a = b; } const int MAXn = 200 + 5, MAXk = 7; const int INF = 1e9; int n, m, k; int val[MAXn], imp[MAXk]; int dis[MAXn][MAXn]; int dp[1 << 7][MAXn]; bool mark[MAXn]; void solve(int mask, int i) { mark[i] = true; if ((mask - 1) & mask == 0 && dp[mask][i] == val[i]) return; for (int sub = (mask - 1) & mask; sub; sub = (sub - 1) & mask) { if (dp[mask][i] == dp[sub][i] + dp[mask ^ sub][i] - val[i]) { solve(sub, i); solve(mask ^ sub, i); return; } } if (i % m > 0 && dp[mask][i - 1] + val[i] == dp[mask][i]) { solve(mask, i - 1); return; } if (i % m < m - 1 && dp[mask][i + 1] + val[i] == dp[mask][i]) { solve(mask, i + 1); return; } if (i - m >= 0 && dp[mask][i - m] + val[i] == dp[mask][i]) { solve(mask, i - m); return; } if (i + m < n && dp[mask][i + m] + val[i] == dp[mask][i]) { solve(mask, i + m); return; } } int main() { ios_base::sync_with_stdio(false); cin >> n >> m >> k; n *= m; for (int i = 0; i < n; ++i) cin >> val[i]; for (int i = 0; i < k; ++i) { int x, y; cin >> x >> y; --x; --y; imp[i] = x * m + y; } for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) { if (i == j) { dis[i][j] = 0; continue; } dis[i][j] = INF; if (i / m == j / m && abs(i - j) == 1) dis[i][j] = val[j]; if (i % m == j % m && abs(i - j) == m) dis[i][j] = val[j]; } for (int z = 0; z < n; ++z) for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) mmin(dis[i][j], dis[i][z] + dis[z][j]); for (int i = 0; i < 1 << k; ++i) for (int j = 0; j < n; ++j) dp[i][j] = INF; for (int i = 0; i < k; ++i) { dp[1 << i][imp[i]] = val[imp[i]]; } for (int mask = 1; mask < (1 << k); ++mask) { for (int i = 0; i < n; ++i) for (int sub = (mask - 1) & mask; sub; sub = (sub - 1) & mask) mmin(dp[mask][i], dp[sub][i] + dp[mask ^ sub][i] - val[i]); for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) mmin(dp[mask][i], dp[mask][j] + dis[j][i]); } int ans = INF, umask = (1 << k) - 1, ui; for (int i = 0; i < n; ++i) if (dp[(1 << k) - 1][i] < ans) { ui = i; ans = dp[umask][ui]; } cout << ans << endl; solve(umask, ui); for (int i = 0; i < n; ++i) { cout << (mark[i] ? 'X' : '.'); if ((i + 1) % m == 0) cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int X, Y, K; int x[10], y[10]; int a[110][110]; int dp[110][110][(1 << 7)], path[110][110][(1 << 7)][3]; int dx[4] = {1, -1, 0, 0}, dy[4] = {0, 0, 1, -1}; string ans[110]; void shortest(int mask) { int iter, i, j, k; for ((iter) = 0; (iter) < (int)(X * Y + 10); (iter)++) { for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) for ((k) = 0; (k) < (int)(4); (k)++) { int x2 = i + dx[k], y2 = j + dy[k]; if (x2 >= 0 && x2 < X && y2 >= 0 && y2 < Y) { int tmp = dp[i][j][mask] + a[x2][y2]; if (tmp < dp[x2][y2][mask]) { dp[x2][y2][mask] = tmp; path[x2][y2][mask][0] = 0; path[x2][y2][mask][1] = i; path[x2][y2][mask][2] = j; } } } } } void print(int x2, int y2, int mask) { ans[x2][y2] = 'X'; if (path[x2][y2][mask][0] == 0) print(path[x2][y2][mask][1], path[x2][y2][mask][2], mask); if (path[x2][y2][mask][0] == 1) { print(x2, y2, path[x2][y2][mask][1]); print(x2, y2, path[x2][y2][mask][2]); } } int main(void) { int i, j, k, mask; cin >> X >> Y >> K; for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) cin >> a[i][j]; for ((i) = 0; (i) < (int)(K); (i)++) { cin >> x[i] >> y[i]; x[i]--; y[i]--; } for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) for ((mask) = 0; (mask) < (int)((1 << K)); (mask)++) dp[i][j][mask] = (1 << 29); for ((i) = 0; (i) < (int)(K); (i)++) { dp[x[i]][y[i]][(1 << i)] = a[x[i]][y[i]]; path[x[i]][y[i]][(1 << i)][0] = 2; } for ((mask) = 0; (mask) < (int)((1 << K)); (mask)++) { for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) { int mask2; for (mask2 = mask; mask2 > 0; mask2 = (mask & (mask2 - 1))) { int tmp = dp[i][j][mask2] + dp[i][j][mask ^ mask2] - a[i][j]; if (tmp < dp[i][j][mask]) { dp[i][j][mask] = tmp; path[i][j][mask][0] = 1; path[i][j][mask][1] = mask2; path[i][j][mask][2] = (mask ^ mask2); } } } shortest(mask); } int best = (1 << 29); for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) best = min(best, dp[i][j][(1 << K) - 1]); cout << best << endl; for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) ans[i] += '.'; for ((i) = 0; (i) < (int)(X); (i)++) for ((j) = 0; (j) < (int)(Y); (j)++) if (dp[i][j][(1 << K) - 1] == best) { print(i, j, (1 << K) - 1); for ((k) = 0; (k) < (int)(X); (k)++) cout << ans[k] << endl; return 0; } return 0; }
#include <bits/stdc++.h> long long MAX(long long x, long long y) { return (x > y) ? x : y; } long long MIN(long long x, long long y) { return (x < y) ? x : y; } const int MAXN = 123; const int MAXNM = 223; const int MAXK = 7; const int inf = 0x3f3f3f3f; using namespace std; inline int Read() { register int x = 0; bool flag = false; register char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') flag = true; ch = getchar(); } if (flag) { while ('0' <= ch && ch <= '9') { x = x * 10 - ch + '0'; ch = getchar(); } } else { while ('0' <= ch && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } } return x; } int N, M, K; int cg(int x, int y) { return (x - 1) * M + y; } pair<int, int> split(int z) { int y = (z - 1) % M + 1; return make_pair((z - y) / M + 1, y); } int dirx[4] = {1, 0, -1, 0}; int diry[4] = {0, 1, 0, -1}; int trans(int z, int dir) { pair<int, int> p = split(z); p = make_pair(p.first + dirx[dir], p.second + diry[dir]); if (1 <= p.first && p.first <= N && 1 <= p.second && p.second <= M) return cg(p.first, p.second); else return -1; } int a[MAXNM]; int f[MAXNM][(1 << MAXK) - 1]; vector<pair<int, int> > frm[MAXNM][(1 << MAXK) - 1]; int ele[MAXK]; queue<int> q; bool inq[MAXNM]; void spfa(int s) { while (!q.empty()) { int hd = q.front(); q.pop(); inq[hd] = false; for (int i = 0; i <= 3; i++) { int v = trans(hd, i); if (~v) { if (f[v][s] > f[hd][s] + a[v]) { f[v][s] = f[hd][s] + a[v]; frm[v][s].clear(); frm[v][s].push_back(make_pair(hd, s)); if (!inq[v]) { q.push(v); inq[v] = true; } } } } } } char mp[MAXN][MAXN]; void print(int i, int s) { pair<int, int> p = split(i); mp[p.first][p.second] = 'X'; for (auto &v : frm[i][s]) print(v.first, v.second); } int main() { memset(f, 0x3f, sizeof(f)); N = Read(); M = Read(); K = Read(); for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) mp[i][j] = '.'; for (int i = 1; i <= N * M; i++) a[i] = Read(); for (int i = 0; i <= K - 1; i++) { int x = Read(), y = Read(); ele[i] = cg(x, y); f[ele[i]][1 << i] = a[ele[i]]; } for (int s = 1; s <= (1 << K) - 1; s++) { for (int ss = s & (s - 1); ss; ss = s & (ss - 1)) for (int i = 1; i <= N * M; i++) if (f[i][s] > f[i][ss] + f[i][s ^ ss] - a[i]) { f[i][s] = f[i][ss] + f[i][s ^ ss] - a[i]; frm[i][s].clear(); frm[i][s].push_back(make_pair(i, ss)); frm[i][s].push_back(make_pair(i, s ^ ss)); } for (int i = 1; i <= N * M; i++) if (f[i][s] < inf) { q.push(i); inq[i] = true; } spfa(s); } int ans = inf, id; for (int i = 1; i <= N * M; i++) if (f[i][(1 << K) - 1] < ans) ans = f[id = i][(1 << K) - 1]; printf("%d\n", ans); print(id, (1 << K) - 1); for (int i = 1; i <= N; i++) printf("%s\n", mp[i] + 1); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 205; const int K = 7; int a[N], dp[1 << K][N]; bitset<N> mark[1 << K][N]; priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > pq; void upd(int msk, int u, int v) { if (dp[msk][u] + a[v] < dp[msk][v]) { dp[msk][v] = dp[msk][u] + a[v]; mark[msk][v] = mark[msk][u]; mark[msk][v][v] = 1; pq.push(make_pair(dp[msk][v], v)); } } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m, k; cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i * m + j]; memset(dp, 63, sizeof dp); for (int i = 0; i < k; i++) { int x, y; cin >> x >> y; x--; y--; int v = x * m + y; dp[1 << i][v] = a[v]; mark[1 << i][v][v] = 1; } for (int msk = 1; msk < (1 << k); msk++) { for (int v = 0; v < n * m; v++) { for (int sub = (msk - 1) & msk; sub; sub = (sub - 1) & msk) { int d = dp[sub][v] + dp[msk ^ sub][v] - a[v]; if (d < dp[msk][v]) { dp[msk][v] = d; mark[msk][v] = mark[sub][v] | mark[msk ^ sub][v]; } } pq.push(make_pair(dp[msk][v], v)); } while (!pq.empty()) { int v = pq.top().second, d = pq.top().first; pq.pop(); if (dp[msk][v] != d) continue; if (0 <= v - m) upd(msk, v, v - m); if (v + m < n * m) upd(msk, v, v + m); if (0 < v % m) upd(msk, v, v - 1); if (v % m < m - 1) upd(msk, v, v + 1); } } int v = 0; for (int i = 0; i < n * m; i++) if (dp[(1 << k) - 1][i] < dp[(1 << k) - 1][v]) v = i; cout << dp[(1 << k) - 1][v] << '\n'; for (int i = 0; i < n; i++, cout << '\n') for (int j = 0; j < m; j++) cout << (mark[(1 << k) - 1][v][i * m + j] ? 'X' : '.'); return 0; }
#include <bits/stdc++.h> const int Q = 256000; int dx[] = {-1, 1, 0, 0}, dy[] = {0, 0, -1, 1}; int N, M, K, a[110][110]; int bit[110][110], f[110][110][138], pre[110][110][138], vis[110][110]; struct point { int x, y, st; point() {} point(int _x, int _y, int _st) : x(_x), y(_y), st(_st) {} } q[256010]; int front, rear, inq[110][110][138]; void init() { int i, j, n = 0, x, y; 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++) bit[i][j] = 0, memset(f[i][j], 0x3f, sizeof(f[i][j])), memset(pre[i][j], 0x3f, sizeof(pre[i][j])); for (i = 0; i < K; i++) { scanf("%d%d", &x, &y); bit[x][y] = 1 << (n++), f[x][y][bit[x][y]] = a[x][y]; } } int can(int x, int y) { return x >= 1 && x <= N && y >= 1 && y <= M; } void spfa() { int i, x, y, st, nx, ny, nst; while (front != rear) { x = q[front].x, y = q[front].y, st = q[front].st, inq[x][y][st] = 0; ++front > Q ? front = 0 : 0; for (i = 0; i < 4; i++) { nx = dx[i] + x, ny = dy[i] + y, nst = st | bit[nx][ny]; if (can(nx, ny) && f[x][y][st] + a[nx][ny] < f[nx][ny][nst]) { f[nx][ny][nst] = f[x][y][st] + a[nx][ny], pre[nx][ny][nst] = -i; q[rear++] = point(nx, ny, nst), inq[nx][ny][nst] = 1; rear > Q ? rear = 0 : 0; } } } } void dfs(int x, int y, int st) { vis[x][y] = 1; if (pre[x][y][st] == 0x3f3f3f3f) return; if (pre[x][y][st] <= 0) dfs(x - dx[-pre[x][y][st]], y - dy[-pre[x][y][st]], st - bit[x][y]); else dfs(x, y, pre[x][y][st]), dfs(x, y, st - pre[x][y][st] | bit[x][y]); } void solve() { int i, j, k, x, y, st, nn = 1 << K, ans; front = rear = 0; for (i = 1; i <= N; i++) for (j = 1; j <= M; j++) memset(inq[i][j], 0, sizeof(inq[i][j])), vis[i][j] = 0; for (i = 0; i < nn; i++) { for (j = 1; j <= N; j++) for (k = 1; k <= M; k++) { for (st = i & i - 1; st; st = st - 1 & i) { int temp = f[j][k][st | bit[j][k]] + f[j][k][i - st | bit[j][k]] - a[j][k]; if (temp < f[j][k][i]) f[j][k][i] = temp, pre[j][k][i] = st | bit[j][k]; } if (f[j][k][i] < 0x3f3f3f3f) { q[rear++] = point(j, k, i), inq[j][k][i] = 1; rear > Q ? rear = 0 : 0; } } spfa(); } ans = 0x3f3f3f3f; for (i = 1; i <= N; i++) for (j = 1; j <= M; j++) if (f[i][j][nn - 1] < ans) ans = f[i][j][nn - 1], x = i, y = j; dfs(x, y, nn - 1); printf("%d\n", ans); for (i = 1; i <= N; i++) { for (j = 1; j <= M; j++) printf("%c", vis[i][j] ? 'X' : '.'); printf("\n"); } } int main() { while (scanf("%d%d%d", &N, &M, &K) == 3) { init(); solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, K; int P[110][110], C[110][2], T[110][110]; int dx[] = {1, 0, -1, 0}, dy[] = {0, 1, 0, -1}; int D[110][110][(1 << 7) + 10]; bool in[110][110], cov[110][110]; pair<int, pair<int, int> > pre[110][110][(1 << 7) + 10]; queue<pair<int, int> > Q; void spfa(int msk) { while (!Q.empty()) { int x, y, xx, yy; x = Q.front().first; y = Q.front().second; Q.pop(); in[x][y] = false; for (int i = 0; i < 4; i++) { xx = x + dx[i], yy = y + dy[i]; if (xx >= 1 && xx <= N && yy >= 1 && yy <= M && (D[xx][yy][msk] == -1 || D[xx][yy][msk] > D[x][y][msk] + P[xx][yy])) { D[xx][yy][msk] = D[x][y][msk] + P[xx][yy]; pre[xx][yy][msk] = make_pair(msk, make_pair(x, y)); if (!in[xx][yy]) { Q.push(make_pair(xx, yy)); in[xx][yy] = true; } } } } } void dfs(int x, int y, int msk) { if (msk == 0) return; cov[x][y] = true; pair<int, pair<int, int> > pi = pre[x][y][msk]; if (pi.first == -1) return; dfs(pi.second.first, pi.second.second, pi.first); dfs(pi.second.first, pi.second.second, msk ^ pi.first); } int main() { scanf("%d%d%d", &N, &M, &K); for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) scanf("%d", &P[i][j]); for (int i = 0; i < K; i++) scanf("%d%d", &C[i][0], &C[i][1]); memset(D, -1, sizeof(D)); memset(T, -1, sizeof(T)); memset(pre, -1, sizeof(pre)); memset(cov, false, sizeof(cov)); memset(in, false, sizeof(in)); for (int x = 1; x <= N; x++) for (int y = 1; y <= M; y++) D[x][y][0] = 0; for (int i = 0; i < K; i++) { int x = C[i][0], y = C[i][1]; D[x][y][(1 << i)] = P[x][y]; T[x][y] = i; } for (int i = 1; i < (1 << K); i++) { for (int x = 1; x <= N; x++) for (int y = 1; y <= M; y++) { if (T[x][y] != -1 && (i & (1 << T[x][y])) == 0) continue; for (int j = (i - 1) & i; j; j = (j - 1) & i) if (D[x][y][j] != -1 && D[x][y][i ^ j] != -1 && (D[x][y][i] > D[x][y][j] + D[x][y][i ^ j] - P[x][y] || D[x][y][i] == -1)) { D[x][y][i] = D[x][y][j] + D[x][y][i ^ j] - P[x][y]; pre[x][y][i] = make_pair(j, make_pair(x, y)); } if (D[x][y][i] != -1) { in[x][y] = true; Q.push(make_pair(x, y)); } } spfa(i); } int ans = -1, xx, yy; for (int x = 1; x <= N; x++) for (int y = 1; y <= M; y++) if (D[x][y][(1 << K) - 1] != -1 && (ans == -1 || D[x][y][(1 << K) - 1] < ans)) { ans = D[x][y][(1 << K) - 1]; xx = x, yy = y; } printf("%d\n", ans); dfs(xx, yy, (1 << K) - 1); for (int x = 1; x <= N; x++) { for (int y = 1; y <= M; y++) if (cov[x][y]) printf("%c", 'X'); else printf("%c", '.'); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 210; const int M = 1 << 7; const int INF = 0x3f3f3f3f; const int iinf = 1 << 30; const long long linf = 2e18; const int MOD = 1000000007; const double eps = 1e-7; void print(int x) { cout << x << endl; exit(0); } void PRINT(string x) { cout << x << endl; exit(0); } void douout(double x) { printf("%lf\n", x + 0.0000000001); } int dp[N][M], pre[N][M], vis[N][M]; int hsh[N], maz[N][N]; char g[N][N]; int n, m, k, nn, mm; int dx[] = {0, 0, -1, 1}; int dy[] = {-1, 1, 0, 0}; struct node { int x, dis; }; queue<node> q; void modify(int x, int dis, int w, int fa) { if (dp[x][dis] > w) { dp[x][dis] = w; pre[x][dis] = fa; if (!vis[x][dis]) { q.push((node){x, dis}); vis[x][dis] = 1; } } } void dfs(int X, int dis) { int x = X / m, y = X % m; g[x][y] = 'X'; if (pre[X][dis] == -1) return; int to = pre[X][dis] / 1000, diss = pre[X][dis] % 1000; dfs(to, diss); if (dis - diss) dfs(to, dis - diss); } bool check(int x, int y) { if (x >= 0 && x < n && y >= 0 && y < m) return true; return false; } void getans() { while (!q.empty()) { node nw = q.front(); q.pop(); int now = nw.x, x = nw.x / m, y = nw.x % m, dis = nw.dis; vis[now][dis] = false; for (int i = (0); i <= (3); i++) { int tx = x + dx[i], ty = y + dy[i]; if (!check(tx, ty)) continue; int to = tx * m + ty; modify(to, dis, dp[now][dis] + maz[tx][ty], now * 1000 + dis); } int t = mm - dis - 1; for (int i = t; i; i = (i - 1) & t) { modify(now, i | dis, dp[now][i] + dp[now][dis] - maz[x][y], now * 1000 + dis); } } int ans = iinf, now; for (int i = (0); i <= (nn - 1); i++) if (ans > dp[i][mm - 1]) { ans = dp[i][mm - 1]; now = i; } dfs(now, mm - 1); printf("%d\n", ans); for (int i = (0); i <= (n - 1); i++) { for (int j = (0); j <= (m - 1); j++) cout << g[i][j]; cout << endl; } } signed main() { scanf("%d%d%d", &n, &m, &k); for (int i = (0); i <= (n - 1); i++) { for (int j = (0); j <= (m - 1); j++) { scanf("%d", &maz[i][j]); g[i][j] = '.'; } } nn = n * m; mm = (1 << k); memset(hsh, 0, sizeof(hsh)); memset(vis, 0, sizeof(vis)); for (int i = (0); i <= (nn - 1); i++) for (int j = (0); j <= (mm - 1); j++) dp[i][j] = iinf; for (int i = (0); i <= (k - 1); i++) { int a, b; scanf("%d%d", &a, &b); a--; b--; int id = a * m + b; hsh[id] = 1 << i; modify(id, hsh[id], maz[a][b], -1); } getans(); return 0; }
#include <bits/stdc++.h> using namespace std; const int INFTY = 1 << 29; void build(vector<string>& ans, int bit, int i, vector<vector<int> >& flg, vector<vector<int> >& path) { int h = ans.size(), w = ans[0].size(); ans[i / w][i % w] = 'X'; if (flg[bit][i] == 1) { build(ans, path[bit][i], i, flg, path); build(ans, bit ^ path[bit][i], i, flg, path); } if (flg[bit][i] == 2) { build(ans, bit, path[bit][i], flg, path); } } int main() { for (int h, w, c; cin >> h >> w >> c && h | w | c;) { vector<vector<int> > grid(h, vector<int>(w)); vector<int> ps(c); for (int i = int(0); i < int(h); i++) for (int j = int(0); j < int(w); j++) cin >> grid[i][j]; for (int i = int(0); i < int(c); i++) { int a, b; cin >> a >> b; ps[i] = (a - 1) * w + (b - 1); } int n = h * w; vector<vector<int> > dist(n, vector<int>(n, INFTY)); vector<vector<int> > prev(n, vector<int>(n, -1)); for (int i = int(0); i < int(h); i++) for (int j = int(0); j < int(w); j++) { dist[i * w + j][i * w + j] = grid[i][j]; int di[] = {-1, 1, 0, 0}, dj[] = {0, 0, -1, 1}; for (int k = int(0); k < int(4); k++) { int ii = i + di[k], jj = j + dj[k]; if (0 <= ii && ii < h && 0 <= jj && jj < w) { dist[i * w + j][ii * w + jj] = grid[i][j] + grid[ii][jj]; prev[i * w + j][ii * w + jj] = i * w + j; } } } for (int k = int(0); k < int(n); k++) for (int i = int(0); i < int(n); i++) for (int j = int(0); j < int(n); j++) { int temp = dist[i][k] + dist[k][j] - dist[k][k]; if (dist[i][j] > temp) { dist[i][j] = temp; prev[i][j] = prev[k][j]; } } vector<vector<int> > dp(1 << c, vector<int>(n, INFTY)); vector<vector<int> > flg(1 << c, vector<int>(n, 0)); vector<vector<int> > path(1 << c, vector<int>(n, 0)); for (int i = int(0); i < int(c); i++) for (int j = int(0); j < int(n); j++) { dp[1 << i][j] = dist[ps[i]][j]; if (j != ps[i]) { flg[1 << i][j] = 2; path[1 << i][j] = prev[ps[i]][j]; } } for (int bit = int(0); bit < int(1 << c); bit++) { for (int i = int(0); i < int(n); i++) for (int j = int(0); j < int(n); j++) { for (int mask = bit; mask; mask = (mask - 1) & bit) { int temp = dp[mask][j] + dp[bit ^ mask][j] + dist[j][i] - dist[j][j] * 2; if (dp[bit][i] > temp) { dp[bit][i] = temp; if (j == i) { flg[bit][i] = 1; path[bit][i] = mask; } else { flg[bit][i] = 2; path[bit][i] = prev[j][i]; } } } } } int res = INFTY; for (int i = int(0); i < int(n); i++) res = min(res, dp[(1 << c) - 1][i]); vector<string> ans(h, string(w, '.')); for (int i = int(0); i < int(n); i++) if (dp[(1 << c) - 1][i] == res) { build(ans, (1 << c) - 1, i, flg, path); break; } cout << res << endl; for (int i = int(0); i < int(h); i++) cout << ans[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int tag[100][100]; struct node { int x, y, mask; node() {} node(int x, int y, int mask) : x(x), y(y), mask(mask) {} node L() { return node(x, y - 1, mask | tag[x][y - 1]); } node R() { return node(x, y + 1, mask | tag[x][y + 1]); } node U() { return node(x - 1, y, mask | tag[x - 1][y]); } node D() { return node(x + 1, y, mask | tag[x + 1][y]); } node operator|(int tmask) { return node(x, y, mask | tmask); } } last[200][1 << 7]; int f[200][1 << 7]; int a[100][100]; bool inq[200][1 << 7]; int n, m, k; queue<node> q; inline bool ckmin(int &a, int b) { return (a > b) && (a = b); } inline int id(int x, int y) { return x * m + y; } void update(node now, int val, node pre) { if (ckmin(f[id(now.x, now.y)][now.mask], val)) { last[id(now.x, now.y)][now.mask] = pre; if (!inq[id(now.x, now.y)][now.mask]) { inq[id(now.x, now.y)][now.mask] = 1; q.push(now); } } } void dfs(int x, int y, int mask) { node pre = last[id(x, y)][mask]; tag[x][y] = 1; if (!pre.mask) return; if (pre.x == x && pre.y == y) { dfs(x, y, pre.mask); dfs(x, y, mask ^ pre.mask); } else { dfs(pre.x, pre.y, pre.mask); } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) scanf("%d", a[i] + j); memset(f, 127, sizeof(f)); for (int i = 0, x, y; i < k; ++i) { scanf("%d%d", &x, &y); --x, --y; tag[x][y] = 1 << i; f[id(x, y)][1 << i] = a[x][y]; q.push(node(x, y, 1 << i)); inq[id(x, y)][1 << i] = 1; } while (!q.empty()) { node t = q.front(); q.pop(); if (t.x > 0) update(t.U(), f[id(t.x, t.y)][t.mask] + a[t.x - 1][t.y], t); if (t.x < n - 1) update(t.D(), f[id(t.x, t.y)][t.mask] + a[t.x + 1][t.y], t); if (t.y > 0) update(t.L(), f[id(t.x, t.y)][t.mask] + a[t.x][t.y - 1], t); if (t.y < m - 1) update(t.R(), f[id(t.x, t.y)][t.mask] + a[t.x][t.y + 1], t); int s = ((1 << k) - 1) ^ t.mask; for (int mask = s; mask; mask = (mask - 1) & s) if (f[id(t.x, t.y)][mask] < 1e9) update(t | mask, f[id(t.x, t.y)][t.mask] + f[id(t.x, t.y)][mask] - a[t.x][t.y], t); inq[id(t.x, t.y)][t.mask] = 0; } int res = 1e9, mx, my; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) if (ckmin(res, f[id(i, j)][(1 << k) - 1])) mx = i, my = j; dfs(mx, my, (1 << k) - 1); printf("%d\n", res); for (int i = 0; i < n; puts(""), ++i) for (int j = 0; j < m; ++j) putchar(tag[i][j] ? 'X' : '.'); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100 + 10; const int inf = (int)1e9 + 9; const int dx[] = {0, 1, -1, 0}; const int dy[] = {1, 0, 0, -1}; int a[maxn][maxn], id[maxn][maxn], w, h, Num; int opt[maxn][maxn][1 << 7]; pair<int, int> cache[maxn][maxn][1 << 7]; int type[maxn][maxn][1 << 7]; int imx[20], imy[20]; inline int update(int &a, int value) { if (value < a) { a = value; return 1; } return 0; } bool inq[maxn][maxn]; vector<string> mat; void dfs(int x, int y, int stat) { mat[x - 1][y - 1] = 'X'; if (id[x][y] != -1 && stat == (1 << id[x][y])) { return; } if (type[x][y][stat] == 1) { dfs(x, y, cache[x][y][stat].first); dfs(x, y, cache[x][y][stat].second); } else { dfs(cache[x][y][stat].first, cache[x][y][stat].second, stat); } } int main() { cin >> h >> w >> Num; for (int i = 1; i <= h; ++i) { for (int j = 1; j <= w; ++j) { cin >> a[i][j]; } } memset(id, -1, sizeof id); for (int i = 0; i < Num; ++i) { cin >> imx[i] >> imy[i]; id[imx[i]][imy[i]] = i; } for (int i = 1; i <= h; ++i) { for (int j = 1; j <= w; ++j) { for (int stat = 0; stat < 1 << Num; ++stat) { opt[i][j][stat] = inf; } if (id[i][j] != -1) { opt[i][j][1 << id[i][j]] = a[i][j]; } } } for (int stat = 1; stat < 1 << Num; ++stat) { for (int set = stat; set > 0; set = ((set - 1) & stat)) { int tmp = stat ^ set; for (int i = 1; i <= h; ++i) { for (int j = 1; j <= w; ++j) { if (update(opt[i][j][stat], opt[i][j][set] + opt[i][j][tmp] - a[i][j])) { type[i][j][stat] = 1; cache[i][j][stat] = make_pair(set, tmp); } } } } queue<int> q; for (int i = 1; i <= h; ++i) { for (int j = 1; j <= w; ++j) { inq[i][j] = 0; if (opt[i][j][stat] < inf) { q.push(i); q.push(j); inq[i][j] = 1; } } } for (; !q.empty();) { int x = q.front(); q.pop(); int y = q.front(); q.pop(); inq[x][y] = 0; for (int k = 0; k < 4; ++k) { int nx = x + dx[k], ny = y + dy[k]; if (nx >= 1 && ny >= 1 && nx <= h && ny <= w) { if (update(opt[nx][ny][stat], opt[x][y][stat] + a[nx][ny])) { type[nx][ny][stat] = 2; cache[nx][ny][stat] = make_pair(x, y); if (!inq[nx][ny]) { inq[nx][ny] = 1; q.push(nx); q.push(ny); } } } } } } int res = inf, x, y; for (int i = 1; i <= h; ++i) { for (int j = 1; j <= w; ++j) { if (update(res, opt[i][j][(1 << Num) - 1])) { x = i; y = j; } } } cout << res << endl; mat.resize(h, string(w, '.')); dfs(x, y, (1 << Num) - 1); for (int i = 0; i < h; ++i) { cout << mat[i] << endl; } }
#include <bits/stdc++.h> using namespace std; const int INF = 1000000000; const int MAX_N = 210; const int MAX_T = 7; int N; int cost[MAX_N]; vector<int> ter; int adj[MAX_N][MAX_N]; int prv_adj[MAX_N][MAX_N]; int opt[1 << MAX_T][MAX_N]; pair<bool, int> prv_opt[1 << MAX_T][MAX_N]; vector<int> sol; void restore_path(int v, int w) { if (v == w) return; int p = prv_adj[v][w]; restore_path(v, p); sol.push_back(p); } void restore(int b, int v) { if (__builtin_popcount(b) == 1) { int t = ter[__builtin_ctz(b)]; restore_path(t, v); } else if (prv_opt[b][v].first) { int e = prv_opt[b][v].second; restore(e, v); restore(b - e, v); } else { int w = prv_opt[b][v].second; restore_path(w, v); restore(b, w); } } int minimum_steiner_tree() { int T = ter.size(); if (T == 0) return 0; for (int i = 0; i < (int)(N); i++) adj[i][i] = 0; for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(N); j++) prv_adj[i][j] = i; for (int k = 0; k < (int)(N); k++) for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(N); j++) { int t = adj[i][k] + cost[k] + adj[k][j]; if (t < adj[i][j]) { adj[i][j] = t; prv_adj[i][j] = prv_adj[k][j]; } } for (int b = 0; b < (int)(1 << T); b++) for (int v = 0; v < (int)(N); v++) opt[b][v] = b == 0 ? 0 : INF; for (int i = 0; i < (int)(T); i++) opt[1 << i][ter[i]] = 0; for (int b = 1; b < (1 << T); b++) { for (int p = 0; p < (int)(N); p++) { int e = b; do { int t = opt[e][p] + opt[b - e][p]; if (t < opt[b][p]) { opt[b][p] = t; prv_opt[b][p] = make_pair(true, e); } e = (e - 1) & b; } while (e != b); } for (int v = 0; v < (int)(N); v++) for (int w = 0; w < (int)(N); w++) { int t = opt[b][w] + cost[w] + adj[w][v]; if (t < opt[b][v]) { opt[b][v] = t; prv_opt[b][v] = make_pair(false, w); } } } sol.push_back(ter[0]); restore((1 << T) - 1, ter[0]); return cost[ter[0]] + opt[(1 << T) - 1][ter[0]]; } const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; int H, W, K; int fld[110][110]; int vid(int x, int y) { return y * W + x; } int main() { for (; 3 == scanf("%d%d%d", &H, &W, &K);) { for (int y = 0; y < (int)(H); y++) for (int x = 0; x < (int)(W); x++) { scanf("%d", &fld[y][x]); cost[vid(x, y)] = fld[y][x]; } ter.clear(); for (int k = 0; k < (int)(K); k++) { int y, x; scanf("%d%d", &y, &x); --y; --x; ter.push_back(vid(x, y)); } N = W * H; for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(N); j++) adj[i][j] = i == j ? 0 : INF; for (int y = 0; y < (int)(H); y++) for (int x = 0; x < (int)(W); x++) { for (int d = 0; d < (int)(4); d++) { int tx = x + dx[d]; int ty = y + dy[d]; if (tx < 0 || W <= tx || ty < 0 || H <= ty) continue; adj[vid(x, y)][vid(tx, ty)] = 0; } } sol.clear(); printf("%d\n", minimum_steiner_tree()); for (int y = 0; y < (int)(H); y++) { char buf[110] = {}; for (int x = 0; x < (int)(W); x++) { int c = count((sol).begin(), (sol).end(), vid(x, y)); assert(c < 2); if (c) buf[x] = 'X'; else buf[x] = '.'; } puts(buf); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1000 * 200; int n; int m; int k; int a[200]; int c[200]; int d[200][200]; int p[200][200]; int dp[128][200]; char ans[200][200]; void drawPath(int u, int v) { for (; v != u; v = p[u][v]) { ans[v / m][v % m] = 'X'; } } void drawPicture(int mask, int v) { int minRem = INF; int u; for (int i = 0; i < n * m; i++) { if (dp[mask][v] == dp[mask][i] + d[i][v] && dp[mask][i] < minRem) { minRem = dp[mask][i]; u = i; } } drawPath(u, v); if (c[u] >= 0 && (1 << c[u]) == mask) { ans[u / m][u % m] = 'X'; return; } for (int submask = (mask - 1) & mask; submask; submask = (submask - 1) & mask) { if (dp[mask][u] == dp[submask][u] + dp[mask ^ submask][u] - a[u]) { drawPicture(submask, u); drawPicture(mask ^ submask, u); return; } } } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> a[i * m + j]; ans[i][j] = '.'; } } memset(p, -1, sizeof(p)); for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { if (i == j) { d[i][j] = 0; continue; } if (abs(i / m - j / m) + abs(i % m - j % m) == 1) { d[i][j] = a[j]; p[i][j] = i; continue; } d[i][j] = INF; } } for (int l = 0; l < n * m; l++) { for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { if (d[i][j] > d[i][l] + d[l][j]) { d[i][j] = d[i][l] + d[l][j]; p[i][j] = p[l][j]; } } } } int x; int y; memset(c, -1, sizeof(c)); for (int i = 0; i < k; i++) { cin >> x >> y; c[--x * m + --y] = i; } for (int mask = 1; mask < (1 << k); mask++) { for (int i = 0; i < n * m; i++) { if (c[i] >= 0 && (1 << c[i]) == mask) dp[mask][i] = a[i]; else dp[mask][i] = INF; for (int submask = (mask - 1) & mask; submask; submask = (submask - 1) & mask) { dp[mask][i] = min(dp[mask][i], dp[submask][i] + dp[mask ^ submask][i] - a[i]); } } for (int i = 0; i < n * m; i++) { for (int j = 0; j < n * m; j++) { dp[mask][i] = min(dp[mask][i], dp[mask][j] + d[j][i]); } } } int minCost = INF; int keyPoint; for (int i = 0; i < n * m; i++) { if (minCost > dp[(1 << k) - 1][i]) { minCost = dp[(1 << k) - 1][i]; keyPoint = i; } } drawPicture((1 << k) - 1, keyPoint); cout << minCost << endl; for (int i = 0; i < n; i++) cout << ans[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-8; const long long MOD = 1000000007; const long long INF = 0x3f3f3f3f; int val[211]; int n, m, k; int used[111][111]; pair<int, int> pre[211][1 << 8]; int dp[211][1 << 8]; int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; vector<int> g[211]; set<int> S[2]; void doit(int p, int sta) { int u = (p - 1) / m + 1, v = (p - 1) % m + 1; used[u][v] = 1; if (pre[p][sta].first == -1) return; doit(pre[p][sta].first, pre[p][sta].second); doit(p, sta - pre[p][sta].second); } int main() { int i, j, l, ll, u, v, w, st, pt; int x, y, p, q; while (scanf("%d%d%d", &n, &m, &k) != EOF) { for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { u = (i - 1) * m + j; scanf("%d", &val[u]); g[u].clear(); if (i > 1) g[u].push_back(u - m); if (j > 1) g[u].push_back(u - 1); if (j < m) g[u].push_back(u + 1); if (i < n) g[u].push_back(u + m); } } for (i = 0; i < 211; i++) for (j = 0; j < 1 << 8; j++) pre[i][j] = make_pair(-1, -1); for (u = 1; u <= n; u++) { for (v = 1; v <= m; v++) { i = (u - 1) * m + v; for (j = 0; j < 1 << k; j++) { dp[i][j] = MOD; } } } S[0].clear(); S[1].clear(); for (i = 0; i < k; i++) { scanf("%d%d", &u, &v); w = (u - 1) * m + v; dp[w][1 << i] = val[w]; S[0].insert(w); } int uu = 0, vv = 1; for (j = 1; j <= n * m; j++) { S[vv].clear(); if (S[uu].size() == 0) break; while (S[uu].size()) { p = *S[uu].begin(); S[uu].erase(S[uu].begin()); for (i = 0; i < g[p].size(); i++) { q = g[p][i]; for (l = 0; l < (1 << k); l++) { if (dp[q][l] > dp[p][l] + val[q]) { dp[q][l] = dp[p][l] + val[q]; pre[q][l] = make_pair(p, l); S[vv].insert(q); } for (ll = 0; ll < (1 << k); ll++) { if (ll & l) continue; if (dp[q][ll | l] > dp[p][l] + dp[q][ll]) { dp[q][ll | l] = dp[p][l] + dp[q][ll]; pre[q][ll | l] = make_pair(p, l); S[vv].insert(q); } } } } } swap(uu, vv); } int ans = MOD; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) used[i][j] = 0; for (i = 1; i <= n * m; i++) { if (ans > dp[i][((1 << k) - 1)]) { ans = dp[i][((1 << k) - 1)]; p = i; } } doit(p, ((1 << k) - 1)); printf("%d\n", ans); for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { if (used[i][j]) putchar('X'); else putchar('.'); } puts(""); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; int n, m, k; int a[220]; int dis[220][220]; int dp[220][220], path[220][220][3]; string s[220]; void floyd() { memset(dis, 0x3f, sizeof(dis)); for (int x = 0; x < n * m; x++) dis[x][x] = a[x]; for (int x = 0; x < n; x++) for (int y = 0; y < m; y++) { for (int d = 0; d < 4; d++) { int xx = x + dx[d], yy = y + dy[d]; if (xx < 0 || yy < 0 || xx >= n || yy >= m) continue; dis[x * m + y][xx * m + yy] = a[x * m + y] + a[xx * m + yy]; dis[xx * m + yy][x * m + y] = a[x * m + y] + a[xx * m + yy]; } } for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) if (i != j && dis[i][j] < 0x3f3f3f3f) for (int x = 0; x < n * m; x++) if (x != j && x != i && dis[x][i] < 0x3f3f3f3f) { dis[x][j] = min(dis[x][j], dis[i][j] + dis[x][i] - a[i]); dis[j][x] = min(dis[j][x], dis[i][j] + dis[x][i] - a[i]); } } vector<int> po; void cover2(int aa, int b) { s[aa / m][aa % m] = 'X'; s[b / m][b % m] = 'X'; for (int c = 0; c < n * m; c++) if (aa != c && b != c && dis[aa][c] + dis[c][b] - a[c] == dis[aa][b]) { cover2(aa, c); cover2(c, b); return; } } void cover(int msk, int pos) { s[pos / m][pos % m] = 'X'; if (path[pos][msk][0] == 0) cover(path[pos][msk][1], pos), cover(path[pos][msk][2], pos); else if (path[pos][msk][0] == 1) cover(msk, path[pos][msk][1]); return; } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) cin >> a[i * m + j]; po.resize(k); for (int i = 0; i < n; i++) { s[i].resize(m); for (int j = 0; j < m; j++) s[i][j] = '.'; } memset(dp, 0x3f, sizeof(dp)); for (int i = 0; i < k; i++) { int x, y; scanf("%d%d", &x, &y); x--, y--; s[x][y] = 'X'; po[i] = (x * m + y); dp[po[i]][1 << i] = a[po[i]]; path[po[i]][1 << i][0] = 2; } for (int i = 0; i < (1 << k); i++) { for (int pos = 0; pos < n * m; pos++) for (int ii = i; ii; ii = (ii - 1) & i) { int tmp = dp[pos][ii] + dp[pos][i ^ ii] - a[pos]; if (tmp < dp[pos][i]) { dp[pos][i] = tmp; path[pos][i][0] = 0; path[pos][i][1] = ii; path[pos][i][2] = i ^ ii; } } for (int cnt = 0; cnt < n * m + 10; cnt++) { for (int pos = 0; pos < n * m; pos++) { int x = (pos / m), y = (pos % m); for (int d = 0; d < 4; d++) { int xx = x + dx[d], yy = y + dy[d]; if (xx < 0 || yy < 0 || xx >= n || yy >= m) continue; int tmp = dp[pos][i] + a[xx * m + yy]; if (tmp < dp[xx * m + yy][i]) { dp[xx * m + yy][i] = tmp; path[xx * m + yy][i][0] = 1; path[xx * m + yy][i][1] = pos; } } } } } int ans = 0x3f3f3f3f, ipos; for (int i = 0; i < n * m; i++) if (dp[i][(1 << k) - 1] < ans) { ans = dp[i][(1 << k) - 1]; ipos = i; } cover((1 << k) - 1, ipos); cout << ans << endl; for (int i = 0; i < n; i++) { cout << s[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline void read(T& num) { num = 0; bool f = true; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = false; ch = getchar(); } while (ch >= '0' && ch <= '9') { num = num * 10 + ch - '0'; ch = getchar(); } num = f ? num : -num; } int out[100]; template <class T> inline void write(T x, char ch) { if (x == 0) { putchar('0'); putchar(ch); return; } if (x < 0) { putchar('-'); x = -x; } int num = 0; while (x) { out[num++] = (x % 10); x = x / 10; } for (int i = (num - 1); i >= (0); i--) putchar(out[i] + '0'); putchar(ch); } const double eps = 1e-8; bool in[105][105][1000]; const int dx[] = {1, 0, -1, 0}; const int dy[] = {0, 1, 0, -1}; struct Poi { int x, y; } p[10]; int s[105][105]; int dp[105][105][1000], pre[105][105][1000], a[105][105]; int sumsta, n, m, k; bool vis[105][105]; queue<int> q; int pack(int x, int y, int st) { return x * 10000000 + y * 10000 + st; } bool judge(int x, int y) { if (x <= 0 || y <= 0 || x > n || y > m) return false; return true; } void spfa() { while (!q.empty()) { int tmp = q.front(); q.pop(); int x = tmp / 10000000, st = tmp % 10000, y = tmp / 10000 % 1000; in[x][y][st] = false; for (int i = (0); i <= (3); i++) { int xx = x + dx[i], yy = y + dy[i], stt = st | s[xx][yy]; if (!judge(xx, yy)) continue; if (dp[xx][yy][stt] > dp[x][y][st] + a[xx][yy]) { dp[xx][yy][stt] = dp[x][y][st] + a[xx][yy]; pre[xx][yy][stt] = tmp; if (!in[xx][yy][stt] && st == stt) { in[xx][yy][stt] = true; q.push(pack(xx, yy, stt)); } } } } } void init() { read(n); read(m); read(k); for (int i = (1); i <= (n); i++) for (int j = (1); j <= (m); j++) read(a[i][j]); sumsta = (1 << k); for (int i = (0); i <= (sumsta - 1); i++) for (int x = (1); x <= (n); x++) for (int y = (1); y <= (m); y++) dp[x][y][i] = pre[x][y][i] = 1070000000; for (int i = (1); i <= (k); i++) { int x, y; read(x); read(y); s[x][y] = 1 << (i - 1); dp[x][y][s[x][y]] = a[x][y]; } } void check(int i) { puts("statu is :"); write(i, '\n'); for (int x = (1); x <= (n); x++) { for (int y = (1); y <= (m); y++) write(dp[x][y][i], ' '); puts(""); } puts(""); } void getans(int x, int y, int st) { vis[x][y] = true; int tmp = pre[x][y][st]; if (tmp == 1070000000) return; int xx = tmp / 10000000, _st = tmp % 10000, yy = tmp / 10000 % 1000; getans(xx, yy, _st); if (x == xx && y == yy) getans(xx, yy, (st - _st) | s[xx][yy]); } void work() { for (int st = (1); st <= (sumsta - 1); st++) { for (int x = (1); x <= (n); x++) for (int y = (1); y <= (m); y++) { for (int i = (st - 1) & st; i; i = (i - 1) & st) { int d = dp[x][y][i | s[x][y]] + dp[x][y][(st - i) | s[x][y]] - a[x][y]; if (d < dp[x][y][st]) { dp[x][y][st] = d; pre[x][y][st] = pack(x, y, i); } } if (dp[x][y][st] < 1070000000) q.push(pack(x, y, st)), in[x][y][st] = true; } spfa(); } int ans = 1070000000, xx, yy; for (int x = (1); x <= (n); x++) for (int y = (1); y <= (m); y++) { if (dp[x][y][sumsta - 1] < ans) ans = min(ans, dp[x][y][sumsta - 1]), xx = x, yy = y; } write(ans, '\n'); getans(xx, yy, sumsta - 1); for (int x = (1); x <= (n); x++) { for (int y = (1); y <= (m); y++) if (vis[x][y]) putchar('X'); else putchar('.'); puts(""); } } int main() { init(); work(); }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0); cin.tie(0); const int inf = (1 << 29); int n, m, k; cin >> n >> m >> k; auto h = [&](int i, int j) -> int { return i * m + j; }; auto hr = [&](int x) -> array<int, 2> { return {x / m, x % m}; }; vector<vector<int>> a(n, vector<int>(m, 0)); for (int o = 0; o < n; o++) for (int i = 0; i < m; i++) cin >> a[o][i]; vector<array<int, 2>> v(k); for (int i = 0; i < k; i++) { cin >> v[i][0] >> v[i][1]; v[i][0]--; v[i][1]--; } vector<vector<int>> dp((1 << k), vector<int>(n * m, inf)); vector<vector<bitset<200>>> res((1 << k), vector<bitset<200>>(n * m, bitset<200>(0))); for (int o = 0; o < n * m; o++) { dp[0][o] = a[hr(o)[0]][hr(o)[1]]; res[0][o][o] = 1; } vector<vector<int>> d(n * m, vector<int>(n * m, inf)); vector<vector<bitset<200>>> p(n * m, vector<bitset<200>>(n * m, bitset<200>(0))); auto in = [&](int i, int j) -> bool { return (0 <= i && i < n && 0 <= j && j < m); }; vector<array<int, 2>> z = {{1, 0}, {-1, 0}, {0, -1}, {0, 1}}; for (int o = 0; o < n; o++) { for (int i = 0; i < m; i++) { d[h(o, i)][h(o, i)] = a[o][i]; p[h(o, i)][h(o, i)][h(o, i)] = 1; for (auto [one, two] : z) { int r = o + one; int c = i + two; if (in(r, c) == 0) continue; d[h(o, i)][h(r, c)] = a[o][i] + a[r][c]; p[h(o, i)][h(r, c)][h(o, i)] = 1; p[h(o, i)][h(r, c)][h(r, c)] = 1; } } } for (int j = 0; j < n * m; j++) { for (int o = 0; o < n * m; o++) { for (int i = 0; i < n * m; i++) { if (d[o][j] + d[j][i] - a[hr(j)[0]][hr(j)[1]] < d[o][i]) { d[o][i] = d[o][j] + d[j][i] - a[hr(j)[0]][hr(j)[1]]; p[o][i] = p[o][j] | p[j][i]; } } } } for (int i = 0; i < k; i++) { dp[(1 << i)][h(v[i][0], v[i][1])] = a[v[i][0]][v[i][1]]; res[(1 << i)][h(v[i][0], v[i][1])][h(v[i][0], v[i][1])] = 1; } for (int mask = 1; mask < (1 << k); mask++) { for (int submask = ((mask - 1) & mask); submask > 0; submask = ((submask - 1) & mask)) { for (int o = 0; o < n; o++) { for (int i = 0; i < m; i++) { if (dp[submask][h(o, i)] + dp[mask ^ submask][h(o, i)] - a[o][i] < dp[mask][h(o, i)]) { dp[mask][h(o, i)] = dp[submask][h(o, i)] + dp[mask ^ submask][h(o, i)] - a[o][i]; res[mask][h(o, i)] = res[submask][h(o, i)] | res[mask ^ submask][h(o, i)]; } } } } for (int o = 0; o < n * m; o++) { for (int i = 0; i < n * m; i++) { if (o == i) continue; if (dp[mask][i] + d[o][i] - a[hr(i)[0]][hr(i)[1]] < dp[mask][o]) { dp[mask][o] = dp[mask][i] + d[o][i] - a[hr(i)[0]][hr(i)[1]]; res[mask][o] = res[mask][i] | p[o][i]; } } } } int best = inf; bitset<200> b; for (int i = 0; i < n * m; i++) { if (dp[(1 << k) - 1][i] < best) { best = dp[(1 << k) - 1][i]; b = res[(1 << k) - 1][i]; } } cout << best << "\n"; for (int o = 0; o < n; o++) { for (int i = 0; i < m; i++) cout << ".X"[b[h(o, i)]]; cout << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e2 + 20; const int maxm = maxn * 4; const int maxk = 8; vector<int> adj[maxn], marked; int n, m, a[maxn], dp[maxn][1 << maxk]; bitset<maxn> ans[maxn][1 << maxk]; int get(int x, int y) { return x * m + y; } int main() { memset(dp, 63, sizeof dp); int k; cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int k = get(i, j); cin >> a[k]; if (i) adj[k].push_back(get(i - 1, j)); if (i + 1 < n) adj[k].push_back(get(i + 1, j)); if (j) adj[k].push_back(get(i, j - 1)); if (j + 1 < m) adj[k].push_back(get(i, j + 1)); } for (int i = 0; i < k; i++) { int x, y; cin >> x >> y; x--, y--; int k1 = get(x, y); marked.push_back(k1); dp[k1][1 << i] = a[k1]; ans[k1][1 << i][k1] = 1; } int hlp = (1 << k); for (int mask = 1; mask < hlp; mask++) { set<pair<int, int> > st; for (int i = 0; i < n * m; i++) { for (int submask = (mask - 1) & mask; submask > 0; submask = (submask - 1) & mask) { int k = dp[i][submask] + dp[i][mask ^ submask] - a[i]; if (dp[i][mask] > k) { dp[i][mask] = k; ans[i][mask] = ans[i][submask] | ans[i][mask ^ submask]; } } st.insert({dp[i][mask], i}); } while (!st.empty()) { int v = st.begin()->second; int W = st.begin()->first; st.erase(st.begin()); if (W != dp[v][mask]) continue; for (auto u : adj[v]) if (dp[u][mask] > W + a[u]) { dp[u][mask] = W + a[u]; ans[u][mask] = ans[v][mask]; ans[u][mask][u] = 1; st.insert({dp[u][mask], u}); } } } int res = dp[marked.back()][hlp - 1]; cout << res << endl; for (int i = 0; i < n; i++, cout << endl) for (int j = 0; j < m; j++) { if (ans[marked.back()][hlp - 1][get(i, j)]) cout << 'X'; else cout << '.'; } }
#include <bits/stdc++.h> using namespace std; int r, c, m, p, q, w[128][200], a[200], u[256], in[200]; pair<int, int> o[128][200]; vector<int> e[200]; char ans[100][105]; void visit(int s, int x) { ans[x / c][x % c] = 'X'; int t, y; tie(t, y) = o[s][x]; if (t) visit(t, y); if (t && t != s) visit(s ^ t, y); } int main() { scanf("%d%d%d", &r, &c, &m); int mask = (1 << m) - 1, n = r * c; for (int i = 0; i < r; i++) for (int j = 0; j < c; j++) { int x = i * c + j; scanf("%d", a + x); if (i) e[x].push_back(x - c); if (j) e[x].push_back(x - 1); if (i + 1 < r) e[x].push_back(x + c); if (j + 1 < c) e[x].push_back(x + 1); ans[i][j] = '.'; } memset(w, 63, sizeof(w)); for (int i = 0; i < m; i++) { scanf("%d%d", &p, &q); int x = --p * c + --q; w[1 << i][x] = a[x]; } for (int x, s = 1; s <= mask; s++) { for (x = m = 0; x < n; in[u[m++] = x++] = 1) for (p = (s - 1) & s; p; p = (p - 1) & s) { int ok = w[p][x] + w[s ^ p][x] - a[x]; if (ok >= w[s][x]) continue; w[s][x] = ok; o[s][x] = {p, x}; } for (int i = 0; i < m; i++) { in[x = u[i & 255]] = 0; for (auto y : e[x]) { int ok = w[s][x] + a[y]; if (ok >= w[s][y]) continue; w[s][y] = ok; o[s][y] = {s, x}; if (!in[y]) in[u[m++ & 255] = y] = 1; } } } int x = min_element(w[mask], w[mask] + n) - w[mask]; visit(mask, x); printf("%d\n", w[mask][x]); for (int i = 0; i < r; i++) puts(ans[i]); }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9; int N, M, K; int a[100][100]; int xs[7], ys[7]; int dp[1 << 7][100][100]; int pre[1 << 7][100][100][3]; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; bool vis[100][100]; void shortestPath(int mask) { for (int itr = 0; itr < (int)(N * M + 10); itr++) { for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(M); j++) for (int k = 0; k < (int)(4); k++) { int x = i + dx[k]; int y = j + dy[k]; if (x < 0 || x >= N) continue; if (y < 0 || y >= M) continue; if (dp[mask][i][j] + a[x][y] < dp[mask][x][y]) { dp[mask][x][y] = dp[mask][i][j] + a[x][y]; pre[mask][x][y][0] = 2; pre[mask][x][y][1] = i; pre[mask][x][y][2] = j; } } } } void constructPath(int mask, int x, int y) { vis[x][y] = true; if (pre[mask][x][y][0] == 1) { constructPath(pre[mask][x][y][1], x, y); constructPath(pre[mask][x][y][2], x, y); } else if (pre[mask][x][y][0] == 2) { constructPath(mask, pre[mask][x][y][1], pre[mask][x][y][2]); } } int main() { ios_base::sync_with_stdio(0); cin >> N >> M >> K; 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)(K); i++) cin >> xs[i] >> ys[i], --xs[i], --ys[i]; for (int i = 0; i < (int)(1 << K); i++) for (int j = 0; j < (int)(N); j++) for (int k = 0; k < (int)(M); k++) dp[i][j][k] = INF; for (int i = 0; i < (int)(K); i++) dp[1 << i][xs[i]][ys[i]] = a[xs[i]][ys[i]]; for (int mask = 0; mask < (int)(1 << K); mask++) { for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(M); j++) { for (int submask = mask; submask > 0; submask = (submask - 1) & mask) { int tmp = dp[submask][i][j] + dp[mask ^ submask][i][j] - a[i][j]; if (tmp < dp[mask][i][j]) { dp[mask][i][j] = tmp; pre[mask][i][j][0] = 1; pre[mask][i][j][1] = submask; pre[mask][i][j][2] = mask ^ submask; } } } shortestPath(mask); } int ret = INF; for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(M); j++) ret = min(ret, dp[(1 << K) - 1][i][j]); cout << ret << endl; for (int i = 0; i < (int)(N); i++) for (int j = 0; j < (int)(M); j++) if (dp[(1 << K) - 1][i][j] == ret) { constructPath((1 << K) - 1, i, j); goto disp; } disp: for (int i = 0; i < (int)(N); i++) { for (int j = 0; j < (int)(M); j++) { if (vis[i][j]) cout << "X"; else cout << "."; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; string s[110]; const int mod = 1000000007; int n, m, k; pair<int, int> pre[1 << 7][220]; int dp[1 << 7][220]; int val[220][220]; int id[220][220]; pair<int, int> p[220]; queue<int> q; bool inq[1 << 7][220]; void update(int a, int b, int val, int pa, int pb) { if (dp[a][b] <= val) return; dp[a][b] = val; pre[a][b] = make_pair(pa, pb); if (inq[a][b] == false) { inq[a][b] = true; q.push(a); q.push(b); } } int dir[4][2] = {0, 1, 1, 0, 0, -1, -1, 0}; bool ill(int i, int j) { return i >= 0 && i < n && j >= 0 && j < m; } char mat[220][220]; bool vst[1 << 7][220]; void dfs(int a, int b) { if (vst[a][b]) return; vst[a][b] = true; int x = p[b].first, y = p[b].second; mat[x][y] = 'X'; int pa = pre[a][b].first, pb = pre[a][b].second; if (pb < 0) return; if (pb == b) { dfs(pa, pb); dfs(a - pa, pb); } else { dfs(pa, pb); } } int main() { while (scanf("%d %d %d", &n, &m, &k) != EOF) { int cnt = 0; for (int i = (0); i < (n); i++) for (int j = (0); j < (m); j++) { scanf("%d", val[i] + j); id[i][j] = cnt; p[cnt++] = make_pair(i, j); } memset(dp, 0x3f, sizeof(dp)); memset(inq, false, sizeof(inq)); for (int i = (0); i < (k); i++) { int x, y; scanf("%d %d", &x, &y); x--; y--; update(1 << i, id[x][y], val[x][y], -1, -1); } while (!q.empty()) { int a = q.front(); q.pop(); int b = q.front(); q.pop(); inq[a][b] = false; for (int in = (0); in < (4); in++) { int tx = p[b].first + dir[in][0]; int ty = p[b].second + dir[in][1]; if (ill(tx, ty) == false) continue; update(a, id[tx][ty], dp[a][b] + val[tx][ty], a, b); } int tt = (1 << k) - 1 - a; for (int s = tt; s; s = (s - 1) & tt) { update(a | s, b, dp[a][b] + dp[s][b] - val[p[b].first][p[b].second], a, b); } } int mi = 1 << 30; int b; for (int j = (0); j < (cnt); j++) { if (dp[(1 << k) - 1][j] < mi) { mi = dp[(1 << k) - 1][j]; b = j; } } printf("%d\n", mi); memset(vst, false, sizeof(vst)); memset(mat, '.', sizeof(mat)); dfs((1 << k) - 1, b); for (int i = (0); i < (n); i++) { for (int j = (0); j < (m); j++) putchar(mat[i][j]); puts(""); } } }
#include <bits/stdc++.h> using namespace std; const int oo = 1e7; int garden[111][111]; int dp[111][111][1 << 7]; int way[111][111][1 << 7][3]; int N, M, K; bool path[111][111]; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; void updateWay(int mask) { for (int t = 0; t <= N * M; t++) for (int x = 1; x <= N; x++) for (int y = 1; y <= M; y++) for (int d = 0; d < 4; d++) { int nx = x + dx[d], ny = y + dy[d]; if (nx < 1 || nx > N || ny < 1 || ny > M) continue; if (dp[nx][ny][mask] > dp[x][y][mask] + garden[nx][ny]) { dp[nx][ny][mask] = dp[x][y][mask] + garden[nx][ny]; way[nx][ny][mask][0] = 0; way[nx][ny][mask][1] = x; way[nx][ny][mask][2] = y; } } } void genPath(int x, int y, int mask) { path[x][y] = true; if (way[x][y][mask][0] == 0) genPath(way[x][y][mask][1], way[x][y][mask][2], mask); else if (way[x][y][mask][0] == 1) { genPath(x, y, way[x][y][mask][1]); genPath(x, y, way[x][y][mask][2]); } } int main() { cin >> N >> M >> K; for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) cin >> garden[i][j]; for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) for (int k = 0; k < 1 << K; k++) dp[i][j][k] = oo, way[i][j][k][0] = -1; for (int i = 0; i < K; i++) { int x, y; cin >> x >> y; dp[x][y][1 << i] = garden[x][y]; way[x][y][1 << i][0] = -1; } for (int mask = 1; mask < (1 << K); mask++) { for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) for (int smask = (mask - 1) & mask; smask; smask = (smask - 1) & mask) { int com = dp[i][j][smask] + dp[i][j][mask ^ smask] - garden[i][j]; if (dp[i][j][mask] > com) { dp[i][j][mask] = com; way[i][j][mask][0] = 1; way[i][j][mask][1] = smask; way[i][j][mask][2] = mask ^ smask; } } updateWay(mask); } int ans = oo; int bx, by; for (int i = 1; i <= N; i++) for (int j = 1; j <= M; j++) if (ans > dp[i][j][(1 << K) - 1]) ans = dp[i][j][(1 << K) - 1], bx = i, by = j; genPath(bx, by, (1 << K) - 1); cout << ans << endl; for (int i = 1; i <= N; i++) { for (int j = 1; j <= M; j++) cout << (path[i][j] ? 'X' : '.'); cout << endl; } return 0; }
#include <bits/stdc++.h> int pq[1 + ((1 << 7) * 200)], iq[((1 << 7) * 200)], dd[((1 << 7) * 200)], cnt; int less(int u, int v) { return dd[u] < dd[v]; } int i2(int i) { return (i *= 2) > cnt ? 0 : i < cnt && less(pq[i + 1], pq[i]) ? i + 1 : i; } void pq_up(int u) { int i, j, v; for (i = iq[u]; (j = i / 2) && less(u, v = pq[j]); i = j) pq[iq[v] = i] = v; pq[iq[u] = i] = u; } void pq_dn(int u) { int i, j, v; for (i = iq[u]; (j = i2(i)) && less(v = pq[j], u); i = j) pq[iq[v] = i] = v; pq[iq[u] = i] = u; } void pq_add_last(int u) { pq[iq[u] = ++cnt] = u; } int pq_remove_first() { int u = pq[1], v = pq[cnt--]; iq[v] = 1; pq_dn(v); return u; } void pq_build() { int i; for (i = cnt / 2; i > 0; i--) pq_dn(pq[i]); } int n, m; int encode(int b, int i, int j) { return (b * n + i) * m + j; } int bb[1 << 7][100][100], hh[1 << 7][100][100]; int di[] = {-1, 1, 0, 0}; int dj[] = {0, 0, -1, 1}; void update(int b, int i, int j, int a) { int h, ab = a | b; int c = encode(ab, i, j); int d = dd[encode(b, i, j)]; for (h = 0; h < 4; h++) { int i_ = i + di[h], j_ = j + dj[h], c_, d2; if (i_ < 0 || i_ >= n || j_ < 0 || j_ >= m) continue; c_ = encode(ab, i_, j_); d2 = d + dd[encode(a, i_, j_)]; if (dd[c_] > d2) { if (dd[c_] == 0x3f3f3f3f) pq_add_last(c_); dd[c_] = d2, bb[ab][i_][j_] = b, hh[ab][i_][j_] = h ^ 1; pq_up(c_); } if (dd[c] > d2) { if (dd[c] == 0x3f3f3f3f) pq_add_last(c); dd[c] = d2, bb[ab][i][j] = a, hh[ab][i][j] = h; pq_up(c); } } } char map[100][100 + 1]; void mark(int b, int i, int j) { int a, h; if (hh[b][i][j] == -1) { map[i][j] = 'X'; return; } a = bb[b][i][j], h = hh[b][i][j]; mark(a, i + di[h], j + dj[h]); mark(b ^ a, i, j); } int main() { static int aa[100][100]; int k, all, nm, n_, h, i, j; scanf("%d%d%d", &n, &m, &k); for (i = 0; i < n; i++) for (j = 0; j < m; j++) { scanf("%d", &aa[i][j]); map[i][j] = '.'; } all = (1 << k) - 1; nm = n * m, n_ = (1 << k) * nm; memset(dd, 0x3f, n_ * sizeof *dd); for (i = 0; i < n; i++) for (j = 0; j < m; j++) { int b = 0, c = encode(b, i, j); dd[c] = aa[i][j], hh[b][i][j] = -1; pq_add_last(c); } for (h = 0; h < k; h++) { int b, c; scanf("%d%d", &i, &j), i--, j--; b = 1 << h, c = encode(b, i, j); dd[c] = aa[i][j], hh[b][i][j] = -1; pq_add_last(c); } pq_build(); while (cnt) { int c = pq_remove_first(), b, b_, a; b = c / nm, i = c % nm / m, j = c % m; if (b == all) { printf("%d\n", dd[c]); mark(b, i, j); for (i = 0; i < n; i++) printf("%s\n", map[i]); return 0; } a = 0, b_ = b ^ all; do update(b, i, j, a); while ((a = a - b_ & b_)); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, s, M[128][128]; vector<vector<int> > dist[128][128]; vector<vector<pair<int, int> > > paidist[128][128]; short int terminal[128][128]; pair<int, int> S[12]; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; int PD[(1 << 7)][101][101][2]; bool split[(1 << 7)][101][101][2]; pair<pair<int, int>, pair<int, int> > pai[(1 << 7)][101][101][2]; char R[128][128]; inline void imprime() { for (int i = 0; i < n; i++) printf("%s\n", R[i]); } void pinta_caminho(int i1, int j1, int i2, int j2) { if (i1 == i2 and j1 == j2) { R[i1][j1] = 'X'; return; } pair<int, int> p = paidist[i1][j1][i2][j2]; if (p.first == i1 and p.second == j1) { R[i1][j1] = 'X'; R[i2][j2] = 'X'; return; } pinta_caminho(i1, j1, p.first, p.second); pinta_caminho(p.first, p.second, i2, j2); } void pinta_arvore(int bm, int i, int j, int pfolha) { if (bm == 0) { R[i][j] = 'X'; return; } if (__builtin_popcount(bm) == 1) { int t = __builtin_ctz(bm); pinta_caminho(S[t].first, S[t].second, i, j); return; } pair<pair<int, int>, pair<int, int> > u = pai[bm][i][j][pfolha]; int nbm = u.first.first, npfolha = u.first.second; int ni = u.second.first, nj = u.second.second; if (split[bm][i][j][pfolha]) { pinta_arvore(nbm, i, j, npfolha); pinta_arvore(bm ^ nbm, i, j, npfolha); return; } pinta_caminho(i, j, ni, nj); pinta_arvore(nbm, ni, nj, npfolha); } int calc(int bm, int i, int j, int pfolha) { if (bm == 0) return M[i][j]; int &pd = PD[bm][i][j][pfolha]; pair<pair<int, int>, pair<int, int> > &papai = pai[bm][i][j][pfolha]; bool &sp = split[bm][i][j][pfolha]; if (pd != -1) return pd; if (__builtin_popcount(bm) == 1) { int t = __builtin_ctz(bm); return pd = dist[S[t].first][S[t].second][i][j]; } int best = 0x3f3f3f3f; int x = (bm - 1) & bm; while (x) { int t1 = calc(x, i, j, 1); int t2 = calc(bm ^ x, i, j, 1); int opc = t1 + t2 - M[i][j]; if (opc < best) { best = opc; papai = pair<pair<int, int>, pair<int, int> >(pair<int, int>(x, 1), pair<int, int>(i, j)); sp = true; } x = (x - 1) & bm; } if (pfolha) { for (int k = 0; k < s; k++) if (bm & (1 << k)) { int opc = dist[i][j][S[k].first][S[k].second] + calc(bm ^ (1 << k), S[k].first, S[k].second, 1) - M[S[k].first][S[k].second]; if (opc < best) { best = opc; sp = false; papai = pair<pair<int, int>, pair<int, int> >( pair<int, int>(bm ^ (1 << k), 1), pair<int, int>(S[k].first, S[k].second)); } } for (int k = 0; k < n; k++) for (int l = 0; l < m; l++) if ((k != i or l != j) and terminal[k][l] < 0) { int opc = dist[i][j][k][l] + calc(bm, k, l, 0) - M[k][l]; if (opc < best) { best = opc; sp = false; papai = pair<pair<int, int>, pair<int, int> >(pair<int, int>(bm, 0), pair<int, int>(k, l)); } } } return pd = best; } int main() { scanf("%d %d %d", &n, &m, &s); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { R[i][j] = '.'; dist[i][j].resize(n); paidist[i][j].resize(n); for (int k = 0; k < n; k++) { dist[i][j][k].resize(m); paidist[i][j][k].resize(m); for (int l = 0; l < m; l++) dist[i][j][k][l] = 0x3f3f3f3f; } } R[i][m] = '\0'; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { scanf("%d", &M[i][j]); dist[i][j][i][j] = M[i][j]; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int k = 0; k < 4; k++) { int ni = i + dx[k]; int nj = j + dy[k]; if (!(0 <= ni and ni < n and 0 <= nj and nj < m)) continue; dist[i][j][ni][nj] = M[i][j] + M[ni][nj]; paidist[i][j][ni][nj] = pair<int, int>(i, j); } for (int k1 = 0; k1 < n; k1++) for (int k2 = 0; k2 < m; k2++) for (int i1 = 0; i1 < n; i1++) for (int i2 = 0; i2 < m; i2++) for (int j1 = 0; j1 < n; j1++) for (int j2 = 0; j2 < m; j2++) { int opc = dist[i1][i2][k1][k2] + dist[k1][k2][j1][j2] - M[k1][k2]; if (opc < dist[i1][i2][j1][j2]) { dist[i1][i2][j1][j2] = opc; paidist[i1][i2][j1][j2] = pair<int, int>(k1, k2); } } memset(terminal, 0xff, sizeof(terminal)); for (int i = 0; i < s; i++) { int a, b; scanf("%d %d", &a, &b); a--; b--; terminal[a][b] = i; S[i] = pair<int, int>(a, b); } if (s == 1) { printf("%d\n", M[S[0].first][S[0].second]); R[S[0].first][S[0].second] = 'X'; imprime(); return 0; } if (s == 2) { printf("%d\n", dist[S[0].first][S[0].second][S[1].first][S[1].second]); pinta_caminho(S[0].first, S[0].second, S[1].first, S[1].second); imprime(); return 0; } memset(PD, 0xff, sizeof(PD)); int resp = calc((1 << s) - 1 - 1, S[0].first, S[0].second, 1); int bm = (1 << s) - 1 - 1, i = S[0].first, j = S[0].second, pf = 1; pinta_arvore(bm, i, j, pf); printf("%d\n", resp); imprime(); int tot = 0; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (R[i][j] == 'X') tot += M[i][j]; if (resp != tot) printf("PAU! resp = %d, cert = %d\n", resp, tot); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1 << 29; const int MAX = 200 + 10; int dp[MAX][1 << 7], pre[MAX][1 << 7]; int n, m, k, nn, mm; int hash1[MAX]; int maz[MAX][MAX]; char g[MAX][MAX]; bool visit[MAX][1 << 7]; int dx[] = {0, 0, -1, 1}; int dy[] = {-1, 1, 0, 0}; struct Node { int u, st; Node(int _u, int _st) { u = _u, st = _st; } }; queue<Node> que; bool check(int x, int y) { if (x >= 0 && x < n && y >= 0 && y < m) return true; return false; } void update(int u, int st, int w, int fa) { if (dp[u][st] > w) { dp[u][st] = w; pre[u][st] = fa; if (!visit[u][st]) { que.push(Node(u, st)); visit[u][st] = true; } } } void dfs(int u, int st) { int x = u / m, y = u % m; g[x][y] = 'X'; if (pre[u][st] == -1) return; else { int v = pre[u][st] / 1000, stt = pre[u][st] % 1000; dfs(v, stt); if (stt - st) dfs(v, st - stt); } } void solve() { while (!que.empty()) { Node now = que.front(); que.pop(); int u = now.u, x = now.u / m, y = now.u % m, st = now.st; visit[u][st] = false; for (int i = 0; i < 4; i++) { int xx = x + dx[i], yy = y + dy[i]; if (!check(xx, yy)) continue; int v = xx * m + yy; update(v, st, dp[u][st] + maz[xx][yy], u * 1000 + st); } int t = mm - 1 - st; for (int i = t; i; i = (i - 1) & t) { update(u, i | st, dp[u][i] + dp[u][st] - maz[x][y], u * 1000 + st); } } int ans = inf, u; for (int i = 0; i < nn; i++) { if (ans > dp[i][mm - 1]) { ans = dp[i][mm - 1]; u = i; } } dfs(u, mm - 1); cout << ans << endl; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) cout << g[i][j]; cout << endl; } } int main() { while (cin >> n >> m >> k) { while (!que.empty()) que.pop(); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> maz[i][j]; g[i][j] = '.'; } } nn = n * m, mm = 1 << k; memset(hash1, 0, sizeof(hash1)); memset(visit, false, sizeof(visit)); for (int i = 0; i < nn; i++) for (int j = 0; j < mm; j++) dp[i][j] = inf; for (int i = 0, a, b; i < k; i++) { cin >> a >> b; a--, b--; int u = a * m + b; hash1[u] = 1 << i; update(u, hash1[u], maz[a][b], -1); } solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 199406060; int n, m; int f[1 << 7][203]; int a[203][203]; int p[20], x[20], y[20], V, pre[1 << 7][203][2], val[203]; int id[202][202]; int q[400000]; bool need[202]; int d[7]; bool xl(int i1, int i2) { pair<int, int> s, e; s.first = (i1 - 1) / m + 1; s.second = (i1 - 1) % m + 1; e.first = (i2 - 1) / m + 1; e.second = (i2 - 1) % m + 1; return (abs(s.first - e.first) + abs(s.second - e.second)) == 1; } int get(int x) { return x % 300; } bool can(int i, int qq) { if (qq == 0) return i % m != 1 && m != 1; if (qq == 1) return i % m != 0; if (qq == 2) return i + m <= V; if (qq == 3) return i - m >= 1; } int bm(int i, int j) { return i * 300 + j; } int main() { int i, j, k, b, c, K, qq, tmp; bool flag; int all; scanf("%d%d%d", &n, &m, &K); all = (1 << K) - 1; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { scanf("%d", &a[i][j]); id[i][j] = (i - 1) * m + j; val[id[i][j]] = a[i][j]; } V = id[n][m]; d[0] = -1; d[1] = 1; d[2] = m; d[3] = -m; for (i = 0; i <= all; i++) for (j = 1; j <= V; j++) f[i][j] = inf; for (i = 0; i < K; i++) scanf("%d%d", &x[i], &y[i]), p[i] = id[x[i]][y[i]], f[1 << i][p[i]] = a[x[i]][y[i]]; for (i = 1; i <= all; i++) { for (j = 1; j < i; j++) if ((i | j) == i) { for (k = 1; k <= V; k++) for (qq = 0; qq < 4; qq++) { if (!can(k, qq)) continue; tmp = k + d[qq]; if (f[i][k] > f[i - j][k] + f[j][tmp]) f[i][k] = f[i - j][k] + f[j][tmp], pre[i][k][0] = bm(i - j, k), pre[i][k][1] = bm(j, tmp); } } flag = true; while (flag) { flag = false; for (j = 1; j <= V; j++) { for (qq = 0; qq < 4; qq++) if (can(j, qq) && f[i][j] + val[j + d[qq]] < f[i][j + d[qq]]) { f[i][j + d[qq]] = f[i][j] + val[j + d[qq]], flag = true, pre[i][j + d[qq]][0] = bm(i, j), pre[i][j + d[qq]][1] = 0; } } } } int ans = inf, last; for (i = 1; i <= V; i++) if (ans > f[all][i]) last = bm(all, i), ans = f[all][i]; printf("%d\n", ans); int h = 1, tail = 1, s; q[h] = last; while (h <= tail) { s = q[h++]; need[get(s)] = true; if (pre[s / 300][s % 300][0]) q[++tail] = pre[s / 300][s % 300][0]; if (pre[s / 300][s % 300][1]) q[++tail] = pre[s / 300][s % 300][1]; } for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { if (need[id[i][j]]) printf("X"); else printf("."); } puts(""); } }
#include <bits/stdc++.h> using namespace std; template <class P, class Q> inline void smin(P &a, Q b) { if (b < a) a = b; } template <class P, class Q> inline void smax(P &a, Q b) { if (a < b) a = b; } const int maxn = 200 + 10; const int inf = 1 << 28; int n, m, k; int a[maxn]; int d[maxn][maxn]; int pos[7]; int dp[1 << 7][maxn]; string mat[maxn]; void solve(int mask, int id) { int goal = dp[mask][id]; mat[id / m][id % m] = 'X'; if (a[id] == goal) return; if (id % m && goal == dp[mask][id - 1] + a[id]) { solve(mask, id - 1); return; } if (id % m + 1 < m && goal == dp[mask][id + 1] + a[id]) { solve(mask, id + 1); return; } if (id - m >= 0 && goal == dp[mask][id - m] + a[id]) { solve(mask, id - m); return; } if (id + m < n && goal == dp[mask][id + m] + a[id]) { solve(mask, id + m); return; } for (int sub = (mask - 1) & mask; sub; sub = (sub - 1) & mask) if (goal == dp[mask ^ sub][id] + dp[sub][id] - a[id]) { solve(mask ^ sub, id); solve(sub, id); continue; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> m >> k; n *= m; for (int i = 0, _n = (int)(n); i < _n; i++) cin >> a[i]; for (int i = 0, _n = (int)(k); i < _n; i++) { int x, y; cin >> x >> y; x--, y--; pos[i] = x * m + y; } for (int i = 0, _n = (int)(n); i < _n; i++) for (int j = 0, _n = (int)(n); j < _n; j++) { if (i == j) d[i][j] = 0; else if (i / m == j / m && abs(i - j) == 1) d[i][j] = a[j]; else if (i % m == j % m && abs(i - j) == m) d[i][j] = a[j]; else d[i][j] = inf; } for (int k = 0, _n = (int)(n); k < _n; k++) for (int i = 0, _n = (int)(n); i < _n; i++) for (int j = 0, _n = (int)(n); j < _n; j++) smin(d[i][j], d[i][k] + d[k][j]); for (int mask = 0, _n = (int)(1 << k); mask < _n; mask++) for (int i = 0, _n = (int)(n); i < _n; i++) dp[mask][i] = inf; for (int mask = (int)(1), _n = (int)(1 << k); mask < _n; mask++) { if ((mask & (mask - 1)) == 0) { for (int i = 0, _n = (int)(n); i < _n; i++) { int p = pos[__builtin_ctz(mask)]; dp[mask][i] = d[p][i] + a[p]; } continue; } for (int i = 0, _n = (int)(n); i < _n; i++) for (int sub = (mask - 1) & mask; sub; sub = (sub - 1) & mask) smin(dp[mask][i], dp[mask ^ sub][i] + dp[sub][i] - a[i]); for (int i = 0, _n = (int)(n); i < _n; i++) for (int j = 0, _n = (int)(n); j < _n; j++) smin(dp[mask][i], dp[mask][j] + d[j][i]); } int fmask = (1 << k) - 1; int ans = inf; for (int i = 0, _n = (int)(n); i < _n; i++) smin(ans, dp[fmask][i]); cout << ans << endl; for (int i = 0, _n = (int)(n / m); i < _n; i++) mat[i] = string(m, '.'); solve(fmask, min_element(dp[fmask], dp[fmask] + n) - dp[fmask]); for (int i = 0, _n = (int)(n / m); i < _n; i++) cout << mat[i] << endl; { return 0; } }
#include <bits/stdc++.h> using namespace std; int dp[205][1 << 7], f[205][1 << 7][2], q[205], qr, qw; bool v[205]; void trace(int z, int s, bool sol[]) { if (f[z][s][0] == -1) sol[z] = true; else if (f[z][s][0] == z) trace(f[z][s][0], s ^ f[z][s][1], sol), trace(f[z][s][0], f[z][s][1], sol); else sol[z] = true, trace(f[z][s][0], f[z][s][1], sol); } int SMST(int n, int w[], int h[], int t[][2], int l[], int k, bool sol[]) { int state = 1 << k; for (int i = 0; i < n; ++i) for (int j = 0; j < state; ++j) dp[i][j] = (j == 0 ? 0 : 1000000000); for (int i = 0; i < k; ++i) { dp[l[i]][1 << i] = w[l[i]]; f[l[i]][1 << i][0] = f[l[i]][1 << i][1] = -1; } qr = qw = 0; memset(v, true, sizeof(v)); for (int i = 0; i < state; ++i) { for (int j = 0; j < n; ++j) { for (int o = (i - 1) & i; o > 0; o = (o - 1) & i) { int tmp = dp[j][i ^ o] + dp[j][o] - w[j]; if (tmp < dp[j][i]) { dp[j][i] = tmp; f[j][i][0] = j; f[j][i][1] = o; } } if (dp[j][i] != 1000000000) { q[qw++] = j; if (qw == 205) qw = 0; v[j] = false; } } while (qr != qw) { int x = q[qr++]; if (qr == 205) qr = 0; v[x] = true; for (int j = h[x]; j != -1; j = t[j][1]) { int y = t[j][0]; if (dp[x][i] + w[y] < dp[y][i]) { dp[y][i] = dp[x][i] + w[y]; f[y][i][0] = x; f[y][i][1] = i; if (v[y]) { q[qw++] = y; if (qw == 205) qw = 0; v[y] = false; } } } } } int mi = 1000000000, mii = -1; for (int i = 0; i < n; ++i) if (dp[i][state - 1] < mi) mi = dp[i][state - 1], mii = i; for (int i = 0; i < n; ++i) sol[i] = false; trace(mii, state - 1, sol); return mi; } int m, n, k, w[205], h[205], t[1000][2], tw, l[7]; void adde(int x, int y) { t[tw][0] = y; t[tw][1] = h[x]; h[x] = tw++; } int main() { scanf("%d%d%d", &m, &n, &k); memset(h, -1, sizeof(h)); tw = 0; for (int i = 0; i < m; ++i) { for (int j = 0; j < n; ++j) { scanf("%d", &w[i * n + j]); if (i) adde((i - 1) * n + j, i * n + j), adde(i * n + j, (i - 1) * n + j); if (j) adde(i * n + (j - 1), i * n + j), adde(i * n + j, i * n + (j - 1)); } } for (int i = 0; i < k; ++i) { int x, y; scanf("%d%d", &x, &y); x--; y--; l[i] = x * n + y; } bool sol[205]; int ans = SMST(m * n, w, h, t, l, k, sol); printf("%d\n", ans); for (int i = 0; i < m; ++i) { for (int j = 0; j < n; ++j) { printf("%c", sol[i * n + j] ? 'X' : '.'); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 205; const int M = 300; int dx[] = {0, 1, 0, -1}, dy[] = {1, 0, -1, 0}; int n, m, K; int dp[N][M], pre[N][M]; int mat[N], vis[N], st[N]; bool in[N][M]; queue<int> que; void spfa() { while (que.size()) { int top = que.front(); que.pop(); int x = top / 1000 / m, y = (top / 1000) % m, s = top % 1000; in[x * m + y][s] = 0; for (int i = 0; i < 4; i++) { int tx = x + dx[i], ty = y + dy[i]; if (tx >= n || tx < 0 || ty >= m || ty < 0) continue; int ts = s | st[tx * m + ty]; if (dp[tx * m + ty][ts] > dp[x * m + y][s] + mat[tx * m + ty]) { dp[tx * m + ty][ts] = dp[x * m + y][s] + mat[tx * m + ty]; pre[tx * m + ty][ts] = top; if (in[tx * m + ty][ts] == 0 && s == ts) { in[tx * m + ty][ts] = 1; que.push((tx * m + ty) * 1000 + ts); } } } } } void getans(int x, int y, int mask) { vis[x * m + y] = 1; int tmp = pre[x * m + y][mask]; if (tmp == 0) return; int tx = tmp / 1000 / m, ty = (tmp / 1000) % m, s1 = tmp % 1000; getans(tx, ty, s1); if (tx == x && ty == y) getans(tx, ty, ((mask - s1) | st[x * m + y])); } int main() { scanf("%d%d%d", &n, &m, &K); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &mat[i * m + j]); memset(dp, 63, sizeof(dp)); int a, b; for (int i = 0; i < K; i++) { scanf("%d%d", &a, &b); a--; b--; st[a * m + b] = (1 << i); dp[a * m + b][(1 << i)] = mat[a * m + b]; } int mask = (1 << K) - 1; for (int s = 1; s <= mask; s++) { for (int i = 0; i < n * m; i++) { if (st[i] && !(st[i] & s)) continue; for (int p = (s - 1) & s; p; p = (p - 1) & s) { int s1 = p | st[i], s2 = (s - p) | st[i]; int d = dp[i][s1] + dp[i][s2] - mat[i]; if (d < dp[i][s]) { pre[i][s] = i * 1000 + s1; dp[i][s] = d; } } if (dp[i][s] != 1061109567) in[i][s] = 1, que.push(i * 1000 + s); } spfa(); } printf("%d\n", dp[a * m + b][mask]); getans(a, b, mask); for (int i = 0; i < n; i++, puts("")) for (int j = 0; j < m; j++) { if (vis[i * m + j]) putchar('X'); else putchar('.'); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int g[100][100], h[100][100]; int imp[7][2]; int d[200][200]; int f[1 << 7][200], p[1 << 7][200][4]; void update(int con, int v, int x, int con2, int v2, int con3 = -1, int v3 = -1) { if (x < f[con][v]) { f[con][v] = x; p[con][v][0] = con2; p[con][v][1] = v2; p[con][v][2] = con3; p[con][v][3] = v3; } } int r[100][100]; void getpath(int i, int j) { int yi = i / m, xi = i % m, yj = j / m, xj = j % m; int dist = abs(yi - yj) + abs(xi - xj); if (dist <= 1) { r[yi][xi] = 1; r[yj][xj] = 1; } else { for (int v = 0; v < n * m; v++) if (v != i && v != j) { int yv = v / m, xv = v % m; if (d[i][v] + d[v][j] - g[yv][xv] == d[i][j]) { getpath(i, v); getpath(v, j); break; } } } } void reconstruct(int con, int v) { int nodes = 0, ni = -1; for (int i = 0; i < k; i++) if (con & (1 << i)) { nodes++; ni = i; } if (nodes == 1) { int y = imp[ni][0], x = imp[ni][1]; int id = y * m + x; getpath(v, id); } else { int con1 = p[con][v][0], v1 = p[con][v][1]; int con2 = p[con][v][2], v2 = p[con][v][3]; if (con2 != -1) { reconstruct(con1, v1); reconstruct(con2, v2); } else { getpath(v, v1); reconstruct(con1, v1); } } } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) scanf("%d", &g[i][j]); for (int i = 0; i < k; i++) { scanf("%d %d", &imp[i][0], &imp[i][1]); imp[i][0]--; imp[i][1]--; h[imp[i][0]][imp[i][1]] = i + 1; } for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) { int yi = i / m, xi = i % m, yj = j / m, xj = j % m; d[i][j] = 999999999; int dist = abs(yi - yj) + abs(xi - xj); if (dist <= 1) d[i][j] = g[yi][xi] + g[yj][xj]; } for (int a = 0; a < n * m; a++) { int r = a / m, c = a % m; for (int i = 0; i < n * m; i++) for (int j = 0; j < n * m; j++) { d[i][j] = min(d[i][j], d[i][a] + d[a][j] - g[r][c]); ; } } for (int con = 1; con < (1 << k); con++) { int nodes = 0, ni = -1; for (int i = 0; i < k; i++) if (con & (1 << i)) { nodes++; ni = i; } for (int v = 0; v < n * m; v++) { int &ff = f[con][v]; ff = 999999999; if (nodes == 1) { int y = imp[ni][0], x = imp[ni][1]; int id = y * m + x; ff = d[v][id]; } } for (int v = 0; v < n * m; v++) { int vi = v / m, vj = v % m; int &ff = f[con][v]; for (int sub = (con - 1) & con; sub > 0; sub = (sub - 1) & con) { update(con, v, f[sub][v] + f[con ^ sub][v] - g[vi][vj], sub, v, con ^ sub, v); } } for (int v = 0; v < n * m; v++) { int &ff = f[con][v]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { int u = i * m + j; int val = f[con][u] + d[v][u] - g[i][j] - ((con & (1 << (h[i][j] - 1))) ? g[i][j] : 0); update(con, v, val, con, u); } } } int y0 = imp[0][0], x0 = imp[0][1]; int id0 = y0 * m + x0; printf("%d\n", f[(1 << k) - 1][id0] - g[y0][x0]); reconstruct((1 << k) - 1, id0); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (r[i][j] == 1) printf("X"); else printf("."); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const double eps = 1e-6; const int mod = 1000000007; int modpow(int x, int y, int md) { if (y == 0) return 1; int ret = modpow(x, y >> 1, md); ret = (long long)ret * ret % md; if (y & 1) ret = (long long)ret * x % md; return ret; } int n, m, k; int dp[101][101][131], pre[101][101][131][3]; int dist[202][202]; int a[101][101]; string ans[202]; int dx[] = {1, -1, 0, 0}, dy[] = {0, 0, -1, 1}; void calc(int x, int y) { dist[(x * m + y)][(x * m + y)] = a[x][y]; set<pair<int, int> > st; st.insert(make_pair(a[x][y], (x * m + y))); while (st.begin() != st.end()) { int cur = st.begin()->second, cos = st.begin()->first; st.erase(st.begin()); if (dist[(x * m + y)][cur] != cos) continue; int nx = cur / m, ny = cur % m; for (int i = 0; i < 4; i++) { int tx = nx + dx[i], ty = ny + dy[i]; if (tx < 0 || ty < 0 || tx >= n || ty >= m || dist[(x * m + y)][(tx * m + ty)] <= dist[(x * m + y)][(nx * m + ny)] + a[tx][ty]) continue; dist[(x * m + y)][(tx * m + ty)] = dist[(x * m + y)][(nx * m + ny)] + a[tx][ty]; st.insert(make_pair(dist[(x * m + y)][(tx * m + ty)], (tx * m + ty))); } } } int getdist(int x1, int y1, int x2, int y2) { return dist[x1 * m + y1][x2 * m + y2]; } void print(int x, int y, int mask) { ans[x][y] = 'X'; if (pre[x][y][mask][0] == 0) print(pre[x][y][mask][1], pre[x][y][mask][2], mask); else if (pre[x][y][mask][0] == 1) print(x, y, pre[x][y][mask][1]), print(x, y, pre[x][y][mask][2]); } int main() { memset(pre, inf, sizeof(pre)); memset(dist, inf, sizeof(dist)); memset(dp, inf, sizeof(dp)); ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m >> k; 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++) calc(i, j), ans[i].push_back('.'); for (int i = 0; i < k; i++) { int x, y; cin >> x >> y; x--; y--; dp[x][y][1 << i] = a[x][y]; } for (int iter = 0; iter <= 222; iter++) for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) for (int mask = 0; mask < (1 << k); mask++) { for (int sub = mask; sub; sub = sub - 1 & mask) { int v = dp[i][j][sub] + dp[i][j][mask ^ sub] - a[i][j]; if (v < dp[i][j][mask]) dp[i][j][mask] = v, pre[i][j][mask][0] = 1, pre[i][j][mask][1] = sub, pre[i][j][mask][2] = mask ^ sub; } for (int k = 0; k < 4; k++) { int x = i + dx[k], y = j + dy[k]; if (x < 0 || y < 0 || x >= n || y >= m) continue; if (dp[x][y][mask] + getdist(i, j, x, y) - a[x][y] < dp[i][j][mask]) dp[i][j][mask] = dp[x][y][mask] + getdist(i, j, x, y) - a[x][y], pre[i][j][mask][0] = 0, pre[i][j][mask][1] = x, pre[i][j][mask][2] = y; } } int ansv = inf; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) ansv = min(ansv, dp[i][j][(1 << k) - 1]); cout << ansv << endl; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (dp[i][j][(1 << k) - 1] == ansv) { print(i, j, (1 << k) - 1); for (int i = 0; i < n; i++) cout << ans[i] << endl; return 0; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1LL << 29; const int N = 128; int a[N][N]; int mrk[N][N]; int n, m, k; int u[N], v[N]; long long dp[1 << 7][N][N]; int dx[4] = {-1, 0, 1, 0}; int dy[4] = {0, -1, 0, 1}; struct Nd { int first, second, b; long long c; Nd(int first, int second, int b, long long c) : first(first), second(second), b(b), c(c) {} Nd(){}; bool operator>(const Nd &nd) const { return c > nd.c; } }; Nd fr[1 << 7][N][N]; char ans[N][N] = {0}; void Tr(int b, int first, int second) { if (b == 0) return; Nd &nd = fr[b][first][second]; int nx = nd.first, ny = nd.second, nb = nd.b; ans[first][second] = 'X'; if (nx == -1) return; Tr(nb, nx, ny); Tr(b ^ nb, first, second); } int main() { cin >> n >> m >> k; for (int i = (0); i < (int)(n); i++) for (int j = (0); j < (int)(m); j++) cin >> a[i][j]; for (int b = (0); b < (int)(1 << k); b++) for (int first = (0); first < (int)(n); first++) for (int second = (0); second < (int)(m); second++) dp[b][first][second] = INF; memset(mrk, -1, sizeof(mrk)); for (int i = (0); i < (int)(k); i++) { int first, second; cin >> first >> second; first--; second--; u[i] = first; v[i] = second; mrk[first][second] = i; dp[1 << i][first][second] = a[first][second]; fr[1 << i][first][second].first = -1; } for (int b = (1); b < (int)(1 << k); b++) { for (int q = ((b - 1) & b); q; q = ((q - 1) & b)) { for (int first = (0); first < (int)(n); first++) for (int second = (0); second < (int)(m); second++) { long long &res = dp[b][first][second]; for (int r = (0); r < (int)(4); r++) { int nx = first + dx[r]; int ny = second + dy[r]; if (nx < 0 || nx >= n || ny < 0 || ny >= m) continue; long long tmp = dp[q][first][second] + dp[b ^ q][nx][ny]; if (tmp < res) { res = tmp; fr[b][first][second] = Nd(nx, ny, b ^ q, dp[b ^ q][nx][ny]); } } } } priority_queue<Nd, vector<Nd>, greater<Nd> > q; for (int first = (0); first < (int)(n); first++) for (int second = (0); second < (int)(m); second++) { if (dp[b][first][second] != INF) { q.push(Nd(first, second, b, dp[b][first][second])); } } while (!q.empty()) { Nd nd = q.top(); q.pop(); int first = nd.first, second = nd.second, b = nd.b; long long c = nd.c; if (c > dp[b][first][second]) continue; for (int r = (0); r < (int)(4); r++) { int nx = first + dx[r]; int ny = second + dy[r]; if (nx < 0 || nx >= n || ny < 0 || ny >= m) continue; long long tmp = c + a[nx][ny]; int nb = b; if (dp[nb][nx][ny] > tmp) { dp[nb][nx][ny] = tmp; fr[nb][nx][ny] = nd; q.push(Nd(nx, ny, nb, tmp)); } } } } long long Min = INF; int X, Y; for (int first = (0); first < (int)(n); first++) for (int second = (0); second < (int)(m); second++) if (dp[(1 << k) - 1][first][second] < Min) { Min = dp[(1 << k) - 1][first][second]; X = first; Y = second; } cout << Min << endl; for (int i = (0); i < (int)(n); i++) for (int j = (0); j < (int)(m); j++) ans[i][j] = '.'; Tr((1 << k) - 1, X, Y); for (int i = (0); i < (int)(n); i++) puts(ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int a[1008][1008]; int f[305][108][108], be[10008]; int dx[4] = {0, 0, 1, -1}, dy[4] = {1, -1, 0, 0}; bool in[108][108], t[108][108]; struct arr { int x, y; } h[1000008], b[108]; struct brr { int a, b, c; brr() {} brr(int a1, int b1, int c1) { a = a1; b = b1; c = c1; } } pre[152][108][108]; void Init() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &a[i][j]); for (int i = 1; i <= k; i++) scanf("%d%d", &b[i].x, &b[i].y); for (int i = 1; i <= k; i++) be[1 << i - 1] = i; } void Dfs(int s, int x, int y) { t[x][y] = 1; if (!s || x < 1 || y < 1 || x > n || y > m || a[x][y] == f[s][x][y]) return; brr v = pre[s][x][y]; Dfs(v.a, v.b, v.c); Dfs(s - v.a, x, y); } void Work() { for (int s = 1; s <= (1 << k) - 1; s++) for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) f[s][i][j] = 214748364; for (int s = 1; s <= (1 << k) - 1; s++) { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) for (int k = 0; k <= 3; k++) { int tx = i + dx[k], ty = j + dy[k]; if (tx < 1 || tx > n || ty < 1 || ty > m) continue; for (int s1 = (s - 1) & s; s1; s1 = (s1 - 1) & s) { if (f[s][i][j] > f[s - s1][tx][ty] + f[s1][i][j]) { f[s][i][j] = f[s1][i][j] + f[s - s1][tx][ty]; pre[s][i][j] = brr(s - s1, tx, ty); } } } int l = 1, r = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) in[i][j] = 0; if (be[s]) { int k = be[s]; h[++r].x = b[k].x; h[r].y = b[k].y; in[b[k].x][b[k].y] = 1; f[s][b[k].x][b[k].y] = a[b[k].x][b[k].y]; } else { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) h[++r].x = i, h[r].y = j, in[i][j] = 1; } while (l <= r) { arr u = h[l++]; for (int i = 0; i <= 3; i++) { int tx = u.x + dx[i], ty = u.y + dy[i]; if (tx < 1 || tx > n || ty < 1 || ty > m) continue; if (f[s][tx][ty] > f[s][u.x][u.y] + a[tx][ty]) { f[s][tx][ty] = f[s][u.x][u.y] + a[tx][ty]; pre[s][tx][ty] = brr(s, u.x, u.y); if (!in[tx][ty]) { in[tx][ty] = 1; h[++r].x = tx; h[r].y = ty; } } } in[u.x][u.y] = 0; } } int ans = 214748364, x = 0, y = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (f[(1 << k) - 1][i][j] < ans) { ans = f[(1 << k) - 1][i][j]; x = i; y = j; } printf("%d\n", ans); int s = (1 << k) - 1; Dfs(s, x, y); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) if (t[i][j]) printf("X"); else printf("."); printf("\n"); } } int main() { Init(); Work(); return 0; }
#include <bits/stdc++.h> using namespace std; int ans[1010][1010]; int al[1010]; struct node { int id; int v; } den[1010], qian[1010]; int dl = 0; int ql = 0; bool cmp(node a, node b) { return a.v > b.v; } int main() { int n; scanf("%d", &n); ; int m; scanf("%d", &m); ; double cost = 0; for (int i = 1; i <= n; i++) { int x; scanf("%d", &x); ; int y; scanf("%d", &y); ; if (y == 1) { den[dl].id = i; den[dl++].v = x; } else { qian[ql].id = i; qian[ql++].v = x; } } sort(den, den + dl, cmp); int i; for (i = 0; i < m - 1 && i < dl; i++) { ans[i][0] = den[i].id; al[i] = 1; cost += den[i].v / 2.0; } if (i < m - 1) { int j; for (j = 0; i < m - 1; i++, j++) { ans[i][0] = qian[j].id; al[i] = 1; cost += qian[j].v; } for (; j < ql; j++) { ans[m - 1][al[m - 1]++] = qian[j].id; cost += qian[j].v; } } else { int vmin = 0x3FFFFFFF; for (int j = 0; i < dl; i++, j++) { ans[m - 1][j] = den[i].id; al[m - 1]++; cost += den[i].v; if (den[i].v < vmin) vmin = den[i].v; } for (int j = 0; j < ql; j++) { ans[m - 1][al[m - 1]++] = qian[j].id; cost += qian[j].v; if (vmin != 0x3FFFFFFF && qian[j].v < vmin) vmin = qian[j].v; } if (vmin != 0x3FFFFFFF) cost -= vmin / 2.0; } printf("%.1lf\n", cost); for (int i = 0; i < m; i++) { printf("%d", al[i]); for (int j = 0; j < al[i]; j++) { printf(" %d", ans[i][j]); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int k, n; scanf("%d%d", &n, &k); vector<int> a(n), b(n), distributed(n), p(n); vector<vector<int> > cart(k); for (int i = 0; i < n; ++i) { scanf("%d%d", &a[i], &b[i]); distributed[i] = 0; p[i] = i; } for (int i = 0; i < n; ++i) { for (int j = i + 1; j < n; ++j) { if (a[p[i]] < a[p[j]]) { swap(p[i], p[j]); } } } int cart_ptr = 0; for (int i = 0; i < n && cart_ptr < k; ++i) { if (b[p[i]] == 1) { distributed[p[i]] = 1; cart[cart_ptr].push_back(p[i]); ++cart_ptr; } } deque<int> available; for (int i = 0; i < n; ++i) { if (!distributed[p[i]]) { available.push_back(p[i]); } } while (cart_ptr < k) { cart[cart_ptr].push_back(available.front()); available.pop_front(); ++cart_ptr; } while (!available.empty()) { cart[k - 1].push_back(available.front()); available.pop_front(); } long long ans = 0; for (int i = 0; i < k; ++i) { int min_cost = 2000000000; for (int j = 0; j < (int)cart[i].size(); ++j) { ans += a[cart[i][j]] * 2; min_cost = min(min_cost, a[cart[i][j]]); } if (b[cart[i][0]] == 1) { ans -= min_cost; } } cout << ans / 2; if (ans % 2 == 0) { cout << ".0" << endl; } else { cout << ".5" << endl; } for (int i = 0; i < k; ++i) { cout << cart[i].size(); for (int j = 0; j < (int)cart[i].size(); ++j) { cout << ' ' << cart[i][j] + 1; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; struct sort_pred { bool operator()(const std::pair<int, int> &left, const std::pair<int, int> &right) { return left.first > right.first; } }; int main() { int n, k; cin >> n >> k; int num = n / k; int cart = 1; vector<pair<int, int> > one, rest; vector<int> ans; for (int i = 0; i < n; i++) { int a, b; cin >> a >> b; if (b == 1) one.push_back(pair<int, int>(a, i + 1)); else rest.push_back(pair<int, int>(a, i + 1)); } std::sort(one.begin(), one.end(), sort_pred()); int i; double tcost = 0; for (i = 0; i < min(k - 1, (int)one.size()); i++) { pair<int, int> t = one[i]; tcost += t.first / 2.0; ans.push_back(t.second); } vector<int> final; if (i < one.size()) { int m = (int)1e9; while (i < one.size()) { pair<int, int> t = one[i]; tcost += t.first; m = min(m, t.first); final.push_back(t.second); i++; } i = 0; while (i < rest.size()) { pair<int, int> t = rest[i]; tcost += t.first; m = min(m, t.first); final.push_back(t.second); i++; } tcost = tcost - m / 2.0; } else { int j = 0; for (i; i < k - 1; i++) { pair<int, int> t = rest[j]; tcost += t.first; ans.push_back(t.second); j++; } for (j; j < rest.size(); j++) { pair<int, int> t = rest[j]; tcost += t.first; final.push_back(t.second); } } printf("%.1f\n", tcost); for (i = 0; i < ans.size(); i++) { cout << 1 << " " << ans[i] << endl; } cout << final.size() << " "; for (i = 0; i < final.size(); i++) { cout << final[i] << " "; } }
#include <bits/stdc++.h> using namespace std; int n, m, N, k; struct Node { int c, id; bool operator<(const Node &b) const { return c > b.c; } } p[1005], q[1005]; int ans[1001][1001], r[1001], mi[1001]; int main() { while (~scanf("%d%d", &N, &k)) { n = m = 0; double sum = 0.0; for (int i = 1; i <= N; i++) { int c, t; scanf("%d%d", &c, &t); sum += (double)c; if (t == 1) { p[n].c = c; p[n++].id = i; } else { q[m].c = c; q[m++].id = i; } } sort(p, p + n); sort(q, q + m); memset(r, 0, sizeof(r)); int hav = min(k, n); for (int i = 0; i < hav; i++) { ans[i][r[i]++] = p[i].id; mi[i] = p[i].c; } if (k < n) { for (int i = k; i < n; i++) { ans[k - 1][r[k - 1]++] = p[i].id; mi[k - 1] = p[i].c; } } else { for (int i = n; i < k; i++) { ans[i][r[i]++] = q[m - 1].id; mi[i] = q[--m].c; } } int tp = 0; for (int i = 0; i < m; i++) { int f = 0; for (int j = 0; j < k; j++) { if (q[i].c >= mi[j]) { f = 1; ans[j][r[j]++] = q[i].id; break; } } if (!f) { ans[k - 1][r[k - 1]++] = q[i].id; mi[k - 1] = q[i].c; } } for (int i = 0; i < min(k, n); i++) sum -= 0.5 * (double)mi[i]; printf("%.1f\n", sum); for (int i = 0; i < k; i++) { printf("%d", r[i]); for (int j = 0; j < r[i]; j++) printf(" %d", ans[i][j]); puts(""); } } }
#include <bits/stdc++.h> using namespace std; template <class T> inline int cMin(T& a, T b) { return b < a ? a = b, 1 : 0; } template <class T> inline int cMax(T& a, T b) { return a < b ? a = b, 1 : 0; } template <class T> inline string to_str(T v) { ostringstream os; os << v; return os.str(); } const double pi = acos(-1.0); const double eps = 1e-9; template <class T> inline T isqr(T v) { return v * v; } template <class T> inline T iabs(T v) { return v < 0 ? -v : v; } template <class T> inline int isgn(T v) { return iabs(v) <= eps ? 0 : (v < 0 ? -1 : 1); } template <typename T> inline T next() { static char buf[64]; scanf("%s", buf); istringstream is(buf); T v; is >> v; return v; } inline int nextInt() { int v = 0; scanf("%d", &v); return v; } int N, K; pair<int, pair<int, int> > src[1024]; vector<pair<int, pair<int, int> > > adj[1024]; int curK = 0; vector<pair<int, pair<int, int> > > Rem; vector<pair<int, pair<int, int> > > S, P; long long total = 0; int main(int argc, char* argv[]) { scanf("%d%d", &N, &K); for (int i = 1; i <= (int)(N); ++i) { pair<int, pair<int, int> > t; scanf("%d%d", &t.first, &t.second.first); total += t.first; t.second.second = i; if (t.second.first == 1) { S.push_back(t); } else P.push_back(t); } total *= 2; sort(S.begin(), S.end()); reverse(S.begin(), S.end()); while (S.size() > K) { P.push_back(S.back()); S.pop_back(); } sort(P.begin(), P.end()); int need = K - (int)S.size(); curK = S.size(); for (int i = 0; i < (int)(curK); ++i) { adj[i].push_back(S[i]); } for (int i = 0; i < (int)(curK); ++i) { if (P.size() > need) { if (adj[i].begin()->first < P.back().first) { adj[i].push_back(P.back()); P.pop_back(); } } } for (int i = curK; i < K; ++i) { adj[i].push_back(P.back()); P.pop_back(); } while (!P.empty()) { adj[K - 1].push_back(P.back()); P.pop_back(); } for (int i = 0; i < (int)(curK); ++i) { sort(adj[i].begin(), adj[i].end()); total -= adj[i].begin()->first; } printf("%s.%d\n", to_str(total / 2).c_str(), (total & 1) ? 5 : 0); for (int i = 0; i < (int)(K); ++i) { printf("%d", (int)adj[i].size()); for (int k = 0; k < (int)(adj[i].size()); ++k) printf(" %d", adj[i][k].second.second); putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long n, k; cin >> n >> k; vector<pair<pair<long long, long long>, long long> > v; long long q, w; int cou = 0; for (long long i = 0; i < n; i++) { cin >> q >> w; if (w == 1) cou++; v.push_back(make_pair(make_pair(q, w), i + 1)); } sort(v.begin(), v.end()); long double p = 0; vector<int> ans; for (int i = v.size() - 1; i >= 0; i--) { if (k == 1) { break; } if ((v[i]).first.second == 1) { p += ((double)((v[i]).first.first)) / 2; ans.push_back((v[i]).second); v.erase(v.begin() + i); k--; cou--; } else if (cou < k - 1) { p += (v[i]).first.first; ans.push_back((v[i]).second); v.erase(v.begin() + i); k--; } } bool isit = false; for (int i = v.size() - 1; i >= 0; i--) { if ((v[i]).first.second == 1) { isit = true; break; } } if (isit) { p -= ((double)v[0].first.first) / 2; } for (int i = 0; i < v.size(); i++) { p += v[i].first.first; } cout.precision(1); cout.setf(ios::fixed | ios::showpoint); cout << p << endl; for (int i = 0; i < ans.size(); i++) { cout << "1 " << ans[i] << endl; } cout << v.size(); for (int i = 0; i < v.size(); i++) { cout << " " << v[i].second; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int const size = 1000 + 5; pair<int, int> tab[size], pan[size]; int main() { int n, i, j, k, m, hor = 0, c, t, kt, kp; long long sum = 0; scanf("%d %d", &n, &k); kt = kp = 0; for (i = 0; i < n; i++) { scanf("%d %d", &c, &t); if (t == 1) { tab[kt].first = 2 * c; tab[kt++].second = i + 1; } else { pan[kp].first = 2 * c; pan[kp++].second = i + 1; } } sort(tab, tab + kt); sort(pan, pan + kp); if (kt < k) { for (i = 0; i < kt; i++) sum += tab[i].first / 2; for (i = 0; i < kp; i++) sum += pan[i].first; if (sum % 2 == 0) printf("%I64d.0\n", sum / 2); else printf("%I64d.5\n", sum / 2); for (i = 0; i < kt; i++) printf("1 %d\n", tab[i].second); for (i = 0; i < k - 1 - kt; i++) printf("1 %d\n", pan[i].second); printf("%d ", kp - (k - 1 - kt)); for (i = k - 1 - kt; i < kp; i++) printf("%d%c", pan[i].second, " \n"[i == kp - 1]); } else { for (i = 0; i < k - 1; i++) sum += tab[kt - 1 - i].first / 2; for (i = k - 1; i < kt; i++) sum += tab[kt - 1 - i].first; for (i = 0; i < kp; i++) sum += pan[i].first; if (kt == 0) tab[0].first = 2 * 1000 * 1000 * 1000 + 1; if (kp == 0) pan[0].first = 2 * 1000 * 1000 * 1000 + 1; sum -= min(pan[0].first, tab[0].first) / 2; if (sum % 2 == 0) printf("%I64d.0\n", sum / 2); else printf("%I64d.5\n", sum / 2); for (i = 0; i < k - 1; i++) printf("1 %d\n", tab[kt - 1 - i].second); printf("%d ", n - k + 1); for (i = k - 1; i < kt; i++) printf("%d%c", tab[kt - 1 - i].second, " \n"[i == n - 1]); for (i = 0; i < kp; i++) printf("%d%c", pan[i].second, " \n"[i == kp - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 + 10; int c[maxn], t[maxn], idx[maxn], ans[maxn]; int n, k; bool cmp(int i, int j) { return t[i] < t[j] || t[i] == t[j] && c[i] > c[j]; } int main() { scanf("%d%d", &n, &k); for (int i = 0; i < n; ++i) { scanf("%d%d", &c[i], &t[i]); idx[i] = i; } sort(idx, idx + n, cmp); int cnt = 0; while (cnt < n && t[idx[cnt]] == 1) ++cnt; long long half = 0, full = 0; if (cnt < k) { for (int i = 0; i < cnt; ++i) { ans[idx[i]] = i; half += c[idx[i]]; } for (int i = cnt; i < k; ++i) { ans[idx[i]] = i; full += c[idx[i]]; } for (int i = k; i < n; ++i) { ans[idx[i]] = k - 1; full += c[idx[i]]; } } else { for (int i = 0; i < k - 1; ++i) { ans[idx[i]] = i; half += c[idx[i]]; } int best = c[idx[k - 1]]; for (int i = k - 1; i < n; ++i) { ans[idx[i]] = k - 1; if (c[idx[i]] < best) best = c[idx[i]]; full += c[idx[i]]; } half += best; full -= best; } printf("%I64d", full + half / 2); if (half & 1) printf(".5\n"); else printf(".0\n"); for (int i = 0; i < k; ++i) { int tot = 0; for (int j = 0; j < n; ++j) if (ans[j] == i) ++tot; printf("%d", tot); for (int j = 0; j < n; ++j) if (ans[j] == i) printf(" %d", j + 1); puts(""); } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:16777216") using namespace std; using namespace std; double EPS = 1e-7; vector<pair<int, int> > a, b; vector<int> res[3000]; int m[3000]; bool B[3000]; int main() { int n, k; scanf("%d%d", &n, &k); long long s = 0; for (int i = 0; i < n; i++) { int x, y; scanf("%d%d", &x, &y); s += x; if (y == 1) a.push_back(make_pair(x, i + 1)); else b.push_back(make_pair(x, i + 1)); } sort(a.begin(), a.end()); reverse(a.begin(), a.end()); for (int i = 0; i < min(k, (int)a.size()); i++) { res[i].push_back(a[i].second); B[i] = 1; m[i] = a[i].first; } for (int i = k; i < a.size(); i++) { b.push_back(a[i]); } sort(b.begin(), b.end()); for (int i = a.size(); i < k; i++) { res[i].push_back(b[b.size() - 1].second); m[i] = b[b.size() - 1].first; b.erase(b.begin() + b.size() - 1); } for (int i = 0; i < b.size(); i++) { res[k - 1].push_back(b[i].second); m[k - 1] = min(m[k - 1], b[i].first); } double Res = s; for (int i = 0; i < k; i++) { if (B[i]) Res -= m[i] / 2.0; } printf("%.1f\n", Res); for (int i = 0; i < k; i++) { printf("%d ", res[i].size()); for (int j = 0; j < res[i].size(); j++) { printf("%d ", res[i][j]); } printf("\n"); } }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long int n; long long int k; cin >> n >> k; vector<pair<long long int, long long int>> ones, twos; long long int cost = 0; long double ans = 0; vector<long long int> v[1005]; long type; for (long long int i = 0; i < n; i++) { cin >> cost >> type; if (type == 1) ones.push_back({cost, i + 1}); else twos.push_back({cost, i + 1}); } sort(ones.begin(), ones.end()); sort(twos.begin(), twos.end()); long long int p = min(k - 1, (long long int)ones.size()); long long int flag = 0; long long int u = 0; if (p == k - 1) flag = 1, u = 1; else flag = p; while (p >= 1) { double y = (*(--ones.end())).first; v[p].push_back((*(--ones.end())).second); ans += double((y / 2)); ones.pop_back(); p -= 1; } long long int ans2 = 0; long long int mi = 10000000007; long long int l = 0; if (u == 1) { while (ones.size()) { l = 1; v[k].push_back((*(--ones.end())).second); ans2 += (*(--ones.end())).first; mi = min(mi, (*(--ones.end())).first); ones.pop_back(); } while (twos.size()) { v[k].push_back((*(--twos.end())).second); ans2 += (*(--twos.end())).first; mi = min(mi, (*(--twos.end())).first); twos.pop_back(); } ans += ans2; if (l == 1) { ans -= mi; double g = mi; ans += double((g / 2)); } } else { long long int z = flag + 1; while (z <= k - 1) { v[z].push_back((*(--twos.end())).second); ans += (*(--twos.end())).first; twos.pop_back(); z++; } while (twos.size()) { v[k].push_back((*(--twos.end())).second); ans += (*(--twos.end())).first; twos.pop_back(); } } cout << fixed << setprecision(1) << ans << "\n"; for (long long int i = 1; i <= k; i++) { cout << v[i].size() << " "; for (auto j : v[i]) cout << j << " "; cout << "\n"; } return 0; }