text
stringlengths
49
983k
#include <bits/stdc++.h> using namespace std; const int maxn = 55; int n, m, k; set<set<int> > ha[maxn][maxn]; string mat[maxn]; int stran[4][2] = {1, 0, -1, 0, 0, 1, 0, -1}; int br, bc; int er, ec; int dis(int r1, int c1, int r2, int c2) { return abs(r1 - r2) + abs(c1 - c2); } struct node { int r, c; string s; int bu; int cu; string used; friend bool operator<(const node &a, const node &b) { if (a.bu + dis(a.r, a.c, er, ec) == b.bu + dis(b.r, b.c, er, ec)) { return a.s > b.s; } return a.bu + dis(a.r, a.c, er, ec) > b.bu + dis(b.r, b.c, er, ec); } }; priority_queue<node> que; set<int> uu; int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) { cin >> mat[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (mat[i][j] == 'S') { br = i; bc = j; } if (mat[i][j] == 'T') { er = i; ec = j; } } } node now, ne; now.bu = 0; now.s.clear(); now.r = br; now.c = bc; now.cu = 0; now.used.clear(); que.push(now); while (!que.empty()) { now = que.top(); que.pop(); if (mat[now.r][now.c] == 'T') { cout << now.s << endl; return 0; } string ss = now.used, ness; string ro = now.s; int nr = now.r, nc = now.c; uu.clear(); for (int i = 0; i < ss.length(); i++) { uu.insert(ss[i] - 'a'); } if (ha[nr][nc].find(uu) != ha[nr][nc].end()) continue; ha[nr][nc].insert(uu); int ner, nec; for (int i = 0; i < 4; i++) { ner = nr + stran[i][0]; nec = nc + stran[i][1]; if (ner >= 0 && ner < n && nec >= 0 && nec < m) { char p = mat[ner][nec]; ne.r = ner; ne.c = nec; ne.bu = now.bu + 1; if (p != 'T' && p != 'S') { bool hu = 0; for (int j = 0; j < ss.length(); j++) { if (p == ss[j]) { hu = 1; break; } } if (hu == 1) { ne.used = ss; ne.cu = now.cu; ne.s = now.s + p; que.push(ne); } else { if (now.cu + 1 <= k) { ne.used = ss + p; ne.cu = now.cu + 1; ne.s = now.s + p; que.push(ne); } } } else if (p == 'T') { ne = now; ne.bu++; ne.r = er; ne.c = ec; que.push(ne); } } } } cout << "-1" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool cmp(string a, string b) { if (a.length() != b.length()) return a.length() < b.length(); return a < b; } struct node { int x, y, mask; string path; node() {} node(int x, int y, int m, string p) : x(x), y(y), mask(m), path(p) {} bool operator<(const node &p) const { return cmp(p.path, path); } }; char s[55][55]; set<int> vis[55][55]; int f[55][55]; int dx[4] = {1, -1, 0, 0}; int dy[4] = {0, 0, 1, -1}; string bfs(int x, int y, int k) { string res(55 * 55, 'a'); priority_queue<node> q; q.push(node(x, y, 0, "")); vis[x][y].insert(0); f[x][y] = 0; while (!q.empty()) { node u = q.top(); q.pop(); for (int i = 0; i < 4; i++) { int x = u.x + dx[i], y = u.y + dy[i]; if (!s[x][y] || s[x][y] == 'S') continue; if (s[x][y] == 'T') { if (cmp(u.path, res)) res = u.path; break; } int z = u.mask | (1 << (s[x][y] - 'a')); if (__builtin_popcount(z) > k) continue; if (vis[x][y].count(z)) continue; if (f[x][y] && (f[x][y] & z) == f[x][y]) continue; vis[x][y].insert(z); f[x][y] = z; q.push(node(x, y, z, u.path + s[x][y])); } } if (res.length() == 55 * 55) res = "-1"; return res; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (s[i][j] == 'S') { cout << bfs(i, j, k) << endl; return 0; } } }
#include <bits/stdc++.h> using namespace std; int n, m, k, sx, sy, ex, ey; bool valid[127]; char s[55][55]; int q[55 * 55 * 2], op, cl; int dis[55][55]; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; bool good[55][55]; string out; void bfs2() { string res = ""; memset(good, false, sizeof(good)); op = cl = 0; q[op++] = ex; q[op++] = ey; good[ex][ey] = true; char bes = 'S', prev = 'z'; int d = dis[ex][ey]; while (op != cl) { int x = q[cl++], y = q[cl++]; if (dis[x][y] != d) { --d; if (bes != 'S') res += bes; bes = prev; prev = 'z'; } if (x == sx && y == sy) break; if (s[x][y] != bes) continue; 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 && dis[xx][yy] == dis[x][y] - 1 && !good[xx][yy]) { good[xx][yy] = true; q[op++] = xx; q[op++] = yy; if (s[xx][yy] < prev) prev = s[xx][yy]; } } } if (out == "-1" || out.length() > res.length() || out.length() == res.length() && out > res) out = res; } void bfs() { op = cl = 0; q[op++] = sx; q[op++] = sy; memset(dis, -1, sizeof(dis)); dis[sx][sy] = 0; while (op != cl) { int x = q[cl++], y = q[cl++]; if (x == ex && y == ey) { bfs2(); return; } 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) { if (valid[s[xx][yy]] && dis[xx][yy] == -1) { q[op++] = xx; q[op++] = yy; dis[xx][yy] = dis[x][y] + 1; } } } } } void dfs(int i, char s) { if (i == k) { bfs(); return; } while (s <= 'z') { valid[s] = true; dfs(i + 1, s + 1); valid[s] = false; ++s; } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) { scanf("%s", s[i]); for (int j = 0; j < m; j++) if (s[i][j] == 'T') { sx = i; sy = j; } else if (s[i][j] == 'S') { ex = i; ey = j; } } valid['S'] = true; out = "-1"; dfs(0, 'a'); puts(out.c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; bool cmp(string a, string b) { if (a.length() != b.length()) return a.length() < b.length(); return a < b; } struct node { int x, y, mask; string path; node() {} node(int x, int y, int m, string p) : x(x), y(y), mask(m), path(p) {} bool operator<(const node &p) const { return cmp(p.path, path); } }; char s[55][55]; set<int> vis[55][55]; int f[55][55]; int dx[4] = {1, -1, 0, 0}; int dy[4] = {0, 0, 1, -1}; string bfs(int x, int y, int k) { string res(55 * 55, 'a'); priority_queue<node> q; q.push(node(x, y, 0, "")); vis[x][y].insert(0); f[x][y] = 0; while (!q.empty()) { node u = q.top(); q.pop(); for (int i = 0; i < 4; i++) { int x = u.x + dx[i], y = u.y + dy[i]; if (!s[x][y] || s[x][y] == 'S') continue; if (s[x][y] == 'T') { if (cmp(u.path, res)) res = u.path; break; } int z = u.mask | (1 << (s[x][y] - 'a')); if (__builtin_popcount(z) > k) continue; if (vis[x][y].count(z)) continue; if (f[x][y] && (f[x][y] & z) == f[x][y]) continue; vis[x][y].insert(z); f[x][y] = z; q.push(node(x, y, z, u.path + s[x][y])); } } if (res.length() == 55 * 55) res = "-1"; return res; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (s[i][j] == 'S') { cout << bfs(i, j, k) << endl; return 0; } } }
#include <bits/stdc++.h> using namespace std; int g[60][60]; char ss[110]; int sx, sy; int gx, gy; int res[60]; int lim; bool can[300]; bool have; int cc; int vis[60][60]; int n, m; int dir[4][2] = {-1, 0, 1, 0, 0, -1, 0, 1}; int dis[60][60]; string pre[60][60]; struct point { int x, y; }; char chs[10]; bool cmp(const int &cmp1, const int &cmp2) { return chs[cmp1] < chs[cmp2]; } int bfs() { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { vis[i][j] = 0; } } point p0 = {sx, sy}; queue<point> q; q.push(p0); vis[sx][sy] = 1; dis[sx][sy] = 0; pre[sx][sy][0] = -1; while (!q.empty()) { point p = q.front(); q.pop(); if (p.x == gx && p.y == gy) { return dis[gx][gy]; } for (int d = 0; d < 4; d++) { point np = {p.x + dir[d][0], p.y + dir[d][1]}; if (g[np.x][np.y] != -1 && (can[g[np.x][np.y]] || g[np.x][np.y] == 'T')) { if (vis[np.x][np.y]) { if (dis[np.x][np.y] == dis[p.x][p.y] + 1) { if (pre[np.x][np.y] > pre[p.x][p.y] + (char)g[np.x][np.y]) { pre[np.x][np.y] = pre[p.x][p.y] + (char)g[np.x][np.y]; } } } else { vis[np.x][np.y] = 1; dis[np.x][np.y] = dis[p.x][p.y] + 1; pre[np.x][np.y] = pre[p.x][p.y] + (char)g[np.x][np.y]; q.push(np); } } } } return -1; } int minv; char ans[5100]; char tmp2[5100]; int ansxx; void dfs(int cur) { if (cur == lim) { have = true; int ret = bfs(); if (ret != -1) { if (minv > ret) { minv = ret; strcpy(ans, pre[gx][gy].c_str()); } else if (minv == ret) { if (strcmp(ans, pre[gx][gy].c_str()) > 0) { strcpy(ans, pre[gx][gy].c_str()); } } } } else { int base = (cur == 0) ? 0 : (res[cur - 1] + 1); for (int i = base; i < cc; i++) { res[cur] = i; can[ss[i]] = true; dfs(cur + 1); can[ss[i]] = false; } } } int main() { char str[110]; int tvis[300]; scanf("%d%d%d", &n, &m, &lim); cc = 0; memset(tvis, 0, sizeof(tvis)); for (int i = 1; i <= n; i++) { scanf("%s", str); for (int j = 1; j <= m; j++) { g[i][j] = str[j - 1]; if (g[i][j] == 'S') { sx = i; sy = j; } else if (g[i][j] == 'T') { gx = i; gy = j; } else { if (!tvis[g[i][j]]) { tvis[g[i][j]] = 1; ss[cc++] = g[i][j]; } } } } for (int i = 0; i <= n + 1; i++) { g[i][0] = g[i][m + 1] = -1; } for (int i = 0; i <= m + 1; i++) { g[0][i] = g[n + 1][i] = -1; } sort(ss, ss + cc); memset(can, 0, sizeof(can)); have = false; minv = 1 << 30; dfs(0); if (!have) { for (int i = 0; i < cc; i++) { can[ss[i]] = true; } int ret = bfs(); if (ret != -1) { if (minv > ret) { minv = ret; strcpy(ans, pre[gx][gy].c_str()); } else if (minv == ret) { if (strcmp(ans, pre[gx][gy].c_str()) > 0) { strcpy(ans, pre[gx][gy].c_str()); } } } } if (minv == 1 << 30) { printf("%d\n", -1); } else { ans[minv - 1] = '\0'; printf("%s\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class _T> inline _T sqr(const _T &first) { return first * first; } template <class _T> inline string tostr(const _T &a) { ostringstream os(""); os << a; return os.str(); } const long double PI = 3.1415926535897932384626433832795L; const long double EPS = 1e-9; char TEMPORARY_CHAR; const int INF = 1e9; inline void fft(vector<complex<long double> > &a, bool invert) { int n = (int)a.size(); for (int i = 1, j = 0; i < n; ++i) { int bit = n >> 1; for (; j >= bit; bit >>= 1) j -= bit; j += bit; if (i < j) swap(a[i], a[j]); } for (int len = 2; len <= n; len <<= 1) { long double ang = 2 * PI / len * (invert ? -1 : 1); complex<long double> wlen(cos(ang), sin(ang)); for (int i = 0; i < n; i += len) { complex<long double> w(1); for (int j = 0; j < len / 2; ++j) { complex<long double> u = a[i + j], v = a[i + j + len / 2] * w; a[i + j] = u + v; a[i + j + len / 2] = u - v; w *= wlen; } } } if (invert) for (int i = 0; i < n; ++i) a[i] /= n; } inline void input(int &a) { a = 0; while (((TEMPORARY_CHAR = getchar()) > '9' || TEMPORARY_CHAR < '0') && (TEMPORARY_CHAR != '-')) { } char neg = 0; if (TEMPORARY_CHAR == '-') { neg = 1; TEMPORARY_CHAR = getchar(); } while (TEMPORARY_CHAR <= '9' && TEMPORARY_CHAR >= '0') { a = (a << 3) + (a << 1) + TEMPORARY_CHAR - '0'; TEMPORARY_CHAR = getchar(); } if (neg) a = -a; } inline void out(long long a) { if (!a) putchar('0'); if (a < 0) { putchar('-'); a = -a; } char s[20]; int i; for (i = 0; a; ++i) { s[i] = '0' + a % 10; a /= 10; } for (int j = (i)-1; j >= 0; j--) putchar(s[j]); } inline int nxt() { int(ret); input((ret)); ; return ret; } struct lnum { vector<int> a; int base; lnum(int num = 0, int base = 1000000000) : base(base) { if (!num) a.resize(1); while (num) { a.push_back(num % base); num /= base; } } inline int len() const { return a.size(); } lnum &operator=(const lnum &l) { if (this != &l) { a = l.a; base = l.base; } return *this; } inline friend lnum operator+(const lnum &l, const lnum &r) { lnum ret(0, l.base); int base = l.base; int ln = l.len(), rn = r.len(); int n = max(ln, rn); ret.a.resize(n); int o = 0; for (int i = 0; i < n; ++i) { int s = o; if (i < ln) s += l.a[i]; if (i < rn) s += r.a[i]; o = s >= base; if (o) s -= base; ret.a[i] = s; } if (o) ret.a.push_back(1); return ret; } inline friend lnum operator-(const lnum &l, const lnum &r) { lnum ret(0, l.base); int base = l.base; int n = l.len(); int rn = r.len(); ret.a.resize(n); int o = 0; for (int i = 0; i < n; ++i) { int s = l.a[i] - o; if (i < rn) s -= r.a[i]; o = s < 0; if (o) s += base; ret.a[i] = s; } if (ret.len() > 1 && !ret.a.back()) ret.a.pop_back(); return ret; } inline friend lnum operator*(const lnum &l, const lnum &r) { lnum ret(0, l.base); int base = l.base; if (l.len() * r.len() > 1000000) { vector<complex<long double> > fa(l.a.begin(), l.a.end()), fb(r.a.begin(), r.a.end()); int n = 1; while (n < max(l.len(), r.len())) n <<= 1; n <<= 1; fa.resize(n), fb.resize(n); fft(fa, false), fft(fb, false); for (int i = 0; i < n; ++i) fa[i] *= fb[i]; fft(fa, true); ret.a.resize(n); for (int i = 0; i < n; ++i) ret.a[i] = int(fa[i].real() + 0.5); int carry = 0; for (int i = 0; i < n; ++i) { ret.a[i] += carry; carry = ret.a[i] / base; ret.a[i] %= base; } } else { ret.a.resize(l.len() + r.len()); for (int i = 0; i < l.len(); ++i) for (int j = 0, carry = 0; j < r.len() || carry; ++j) { long long cur = ret.a[i + j] + (long long)l.a[i] * (j < r.len() ? r.a[j] : 0) + carry; ret.a[i + j] = cur % base; carry = cur / base; } } while (ret.len() > 1 && !ret.a.back()) ret.a.pop_back(); return ret; } inline friend lnum operator/(const lnum &l, const int &r) { lnum ret(0, l.base); ret.a.resize(l.len()); int carry = 0; for (int i = l.len() - 1; i >= 0; --i) { long long cur = l.a[i] + (long long)carry * l.base; ret.a[i] = cur / r; carry = cur % r; } while (ret.len() > 1 && ret.a.back() == 0) ret.a.pop_back(); return ret; } inline friend bool operator<(const lnum &l, const lnum &r) { if (l.len() < r.len()) return true; if (l.len() > r.len()) return false; int n = l.len(); for (int i = n - 1; i >= 0; --i) { if (l.a[i] < r.a[i]) return true; if (l.a[i] > r.a[i]) return false; } return false; } inline friend bool operator>(const lnum &l, const lnum &r) { return r < l; } inline friend bool operator==(const lnum &l, const lnum &r) { if (l.len() != r.len()) return false; int n = l.len(); for (int i = n - 1; i; --i) { if (l.a[i] != r.a[i]) return false; } return true; } inline friend bool operator!=(const lnum &l, const lnum &r) { return !(l == r); } inline void print() { if (base == 1000000000) { printf("%d", a.back()); for (int i = a.size() - 2; i >= 0; --i) printf("%09d", a[i]); } else { for (int i = a.size() - 1; i >= 0; --i) printf("%d", a[i]); } } }; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; int main() { int(n); input((n)); ; int(m); input((m)); ; int(k); input((k)); ; int b[26]; memset((b), 0, sizeof(b)); for (int i = 0; i < (int)(k); i++) b[i] = 1; reverse(b, b + 26); string ss[n]; for (int i = 0; i < (int)(n); i++) cin >> ss[i]; pair<int, int> s, f; for (int i = 0; i < (int)(n); i++) for (int j = 0; j < (int)(m); j++) { if (ss[i][j] == 'S') s = make_pair(i, j); if (ss[i][j] == 'T') f = make_pair(i, j); } string ans; int best = INF; do { int d[n][m]; memset(d, 255, sizeof(d)); queue<pair<int, int> > q; q.push(f); d[f.first][f.second] = 0; while (!q.empty()) { pair<int, int> v = q.front(); q.pop(); for (int i = 0; i < (int)(4); i++) { int first = v.first + dx[i]; int second = v.second + dy[i]; if (first >= 0 && first < n && second >= 0 && second < m && d[first][second] == -1 && (ss[first][second] == 'S' || b[ss[first][second] - 'a'])) { d[first][second] = d[v.first][v.second] + 1; q.push(make_pair(first, second)); } } } if (d[s.first][s.second] == -1 || d[s.first][s.second] > best) continue; vector<pair<int, int> > Q; Q.push_back(s); char used[n][m]; memset((used), 0, sizeof(used)); used[s.first][s.second] = 1; string cur; while (1) { vector<pair<int, int> > QQ; char min_c = 'z' + 1; for (int t = 0; t < (int)(Q.size()); t++) { pair<int, int> v = Q[t]; for (int i = 0; i < (int)(4); i++) { int first = v.first + dx[i]; int second = v.second + dy[i]; if (first >= 0 && first < n && second >= 0 && second < m && d[first][second] == d[v.first][v.second] - 1 && (ss[first][second] == 'T' || b[ss[first][second] - 'a'])) { if (ss[first][second] < min_c) { QQ.clear(); min_c = ss[first][second]; } if (ss[first][second] == min_c && !used[first][second]) { QQ.push_back(make_pair(first, second)); used[first][second] = 1; } } } } if (min_c == 'T') break; else { Q = QQ; cur += min_c; } } if (d[s.first][s.second] < best) { ans = cur; best = d[s.first][s.second]; } else { ((ans) = (cur) < (ans) ? (cur) : (ans)); } } while (next_permutation(b, b + 26)); if (best == INF) puts("-1"); else cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename A, typename B> ostream& operator<<(ostream& os, const pair<A, B>& p) { return os << '(' << p.first << ", " << p.second << ')'; } template <typename C> ostream& operator<<(ostream& os, const vector<C>& v) { for (__typeof((v).begin()) __it = (v).begin(); __it != (v).end(); __it++) os << *(__it) << ' '; return os; } const int inf = 0x3f3f3f3f; const double eps = 1e-5; const int maxn = 52; char field[maxn][maxn]; int dir[4][2] = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}}; vector<pair<int, int> > q[maxn * maxn * 4]; bool visit[maxn][maxn]; pair<int, int> from[maxn][maxn]; int n, m, k; pair<int, int> start, finish; int letter_can[26]; int letter_canf[26]; inline bool check(const pair<int, int>& p) { if (p.first < 0 || p.first >= n) return false; if (p.second < 0 || p.second >= m) return false; return true; } char seq[5]; int can_start, can_finish; bool finalresset; string finalres; void dfs(int letter, int curk) { if (curk < k) { for (int i = letter; i <= 'z'; i++) { seq[curk] = i; letter_canf[i - 'a']++; if (letter_can[i - 'a'] / 10) can_start++; if (letter_can[i - 'a'] % 10) can_finish++; dfs(i, curk + 1); if (letter_can[i - 'a'] / 10) can_start--; if (letter_can[i - 'a'] % 10) can_finish--; letter_canf[i - 'a']--; } return; } if (can_start * can_finish == 0) return; ; int bc = 0; int fr = 1; memset(visit, 0, sizeof(visit)); q[0].clear(); visit[start.first][start.second] = true; q[0].push_back(start); from[finish.first][finish.second] = pair<int, int>(-1, -1); while (bc < fr) { ; ; vector<pair<int, int> >& c = q[bc++]; vector<pair<int, int> > qnext[4]; for (int i = 0; i < (int((c).size())); i++) { ; for (int j = 0; j < 4; j++) { ; pair<int, int> next = c[i]; next.first += dir[j][0]; next.second += dir[j][1]; if (!check(next)) continue; char nextc = field[next.first][next.second]; ; if ((letter_canf[nextc - 'a'] || nextc == 'T') && !visit[next.first][next.second]) { visit[next.first][next.second] = true; from[next.first][next.second] = c[i]; if (nextc == 'T') continue; int w; for (w = 0; seq[w] != nextc; w++) ; qnext[w].push_back(next); } } } for (int i = 0; i < 4; i++) if (qnext[i].size()) q[fr++] = qnext[i]; }; if (from[finish.first][finish.second] == pair<int, int>(-1, -1)) return; string res; pair<int, int> cur = from[finish.first][finish.second]; while (cur != start) { res += field[cur.first][cur.second]; cur = from[cur.first][cur.second]; } reverse(res.begin(), res.end()); if (!finalresset || (int((res).size())) < (int((finalres).size())) || ((int((res).size())) == (int((finalres).size())) && res < finalres)) { finalres = res; finalresset = true; } return; } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) { scanf("%s", field[i]); for (int j = 0; j < m; j++) if (field[i][j] == 'S') start = pair<int, int>(i, j); else if (field[i][j] == 'T') finish = pair<int, int>(i, j); } for (int i = 0; i < 4; i++) { pair<int, int> next = start; next.first += dir[i][0]; next.second += dir[i][1]; if (next == finish) { cout << endl; return 0; } if (check(next) && next != finish) { letter_can[field[next.first][next.second] - 'a'] += 10; } next = finish; next.first += dir[i][0]; next.second += dir[i][1]; if (check(next) && next != start) { letter_can[field[next.first][next.second] - 'a'] += 1; } } dfs('a', 0); if (finalresset) cout << finalres << endl; else cout << -1 << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:60000000") using namespace std; const long double eps = 1e-9; const int inf = (1 << 30) - 1; const long long inf64 = ((long long)1 << 62) - 1; const long double pi = 3.1415926535897932384626433832795; template <class T> T sqr(T x) { return x * x; } int n, m, k; char a[50][50]; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, 1, 0, -1}; bool u[256]; int d[50][50]; pair<int, int> q[2500]; string bfs() { memset(d, 255, sizeof(d)); pair<int, int> S, T; for (int i = 0; i < (int)(n); i++) for (int j = 0; j < (int)(m); j++) { if (a[i][j] == 'S') S = make_pair(i, j); if (a[i][j] == 'T') T = make_pair(i, j); } d[T.first][T.second] = 0; int h, t; h = t = 0; q[h] = T; while (h <= t) { pair<int, int> v = q[h]; h++; for (int i = 0; i < (int)(4); i++) { pair<int, int> w = make_pair(v.first + dx[i], v.second + dy[i]); if (0 <= w.first && w.first < n && 0 <= w.second && w.second < m && d[w.first][w.second] == -1 && u[a[w.first][w.second]]) { d[w.first][w.second] = d[v.first][v.second] + 1; t++; q[t] = w; } } } if (d[S.first][S.second] == -1) return "S"; string res = ""; vector<pair<int, int> > V, W; V.push_back(S); int cd = d[S.first][S.second]; while (cd > 1) { char c = 'z'; for (int i = 0; i < (int)(V.size()); i++) for (int j = 0; j < (int)(4); j++) { pair<int, int> w = make_pair(V[i].first + dx[j], V[i].second + dy[j]); if (0 <= w.first && w.first < n && 0 <= w.second && w.second < m && cd - 1 == d[w.first][w.second]) c = min(c, a[w.first][w.second]); } res += c; W.clear(); for (int i = 0; i < (int)(V.size()); i++) for (int j = 0; j < (int)(4); j++) { pair<int, int> w = make_pair(V[i].first + dx[j], V[i].second + dy[j]); if (0 <= w.first && w.first < n && 0 <= w.second && w.second < m && cd - 1 == d[w.first][w.second] && a[w.first][w.second] == c) W.push_back(w); } sort(W.begin(), W.end()); W.resize(unique(W.begin(), W.end()) - W.begin()); cd--; V = W; W.clear(); } return res; } string res; void calc(int cur, int la) { if (cur == 26) { string tmp = bfs(); if (tmp == "S") return; if (res == "S") res = tmp; else if (res.length() > tmp.length() || (res.length() == tmp.length() && res > tmp)) res = tmp; return; } calc(cur + 1, la); if (la == 0) return; u[cur + 'a'] = 1; calc(cur + 1, la - 1); u[cur + 'a'] = 0; } 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]; memset(u, 0, sizeof(u)); u['S'] = 1; u['T'] = 1; res = "S"; calc(0, k); if (res == "S") cout << -1 << endl; else cout << res << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000") using namespace std; int n, m, k, x, y, xx, yy; int A[64][64]; string T[64]; vector<int> M; pair<int, int> P[51][51]; bool B[51][51]; int dx[] = {0, 0, -1, 1}; int dy[] = {1, -1, 0, 0}; int l, r; void G(int i, int c, int mask, bool ok) { if (c > 0 && c <= k && ok) M.push_back(mask); if (i < 26) G(i + 1, c, mask, false); if (c < k && i < 26) G(i + 1, c + 1, (mask | (1 << i)), true); } bool ok(int x, int y) { return (x >= 0 && y >= 0 && x < n && y < m); } pair<pair<int, char>, pair<pair<int, int>, pair<int, int> > > Q[10000]; void add(int x, int y, int t) { r++; Q[r] = make_pair(make_pair(t, T[x][y]), make_pair(make_pair(x, y), make_pair(0, 0))); } bool comp(pair<pair<int, char>, pair<pair<int, int>, pair<int, int> > > a, pair<pair<int, char>, pair<pair<int, int>, pair<int, int> > > b) { if (a.first.second < b.first.second) return true; if (a.first.second > b.first.second) return false; return (a.second.second.first < b.second.second.first); } int main() { cin >> n >> m >> k; for (int(i) = (0); (i) < (n); ++(i)) cin >> T[i]; for (int(i) = (0); (i) < (n); ++(i)) for (int(j) = (0); (j) < (m); ++(j)) { if (T[i][j] == 'T') { x = i; y = j; } else if (T[i][j] == 'S') { xx = i; yy = j; } } for (int(i) = (0); (i) < (n); ++(i)) for (int(j) = (0); (j) < (m); ++(j)) if (T[i][j] != 'S' && T[i][j] != 'T') A[i][j] = T[i][j] - 'a'; G(0, 0, 0, false); string res = "-1"; for (int(i) = (0); (i) < (M.size()); ++(i)) { int mask = M[i]; memset(B, false, sizeof(B)); for (int(j) = (0); (j) < (n); ++(j)) for (int(l) = (0); (l) < (m); ++(l)) P[j][l] = make_pair(-1, -1); B[x][y] = true; l = 0, r = -1; add(x, y, 0); Q[0].second.second.first = 0; int last = -1; while (l <= r) { pair<int, int> t; pair<int, char> q; t = Q[l].second.first; q = Q[l].first; if (q.first != last) { int j = 1; while (l + j <= r && q.first == Q[l + j].first.first) j++; for (int(y) = (l); (y) < (l + j); ++(y)) Q[y].second.second.first = y; sort(Q + l, Q + l + j, comp); } last = q.first; t = Q[l].second.first; q = Q[l].first; l++; if (t == make_pair(xx, yy)) break; for (int(j) = (0); (j) < (4); ++(j)) { int tx = t.first + dx[j], ty = t.second + dy[j]; if (!ok(tx, ty)) continue; if (B[tx][ty]) continue; if (T[tx][ty] != 'S' && T[tx][ty] != 'T' && (mask & (1 << A[tx][ty])) == 0) continue; B[tx][ty] = true; P[tx][ty] = t; add(tx, ty, q.first + 1); } } pair<int, int> t; t = make_pair(xx, yy); if (!B[xx][yy]) continue; string s = ""; while (P[t.first][t.second] != make_pair(x, y)) { int tx = P[t.first][t.second].first; int ty = P[t.first][t.second].second; s += T[tx][ty]; t.first = tx; t.second = ty; } if (res == "-1" || s.size() < res.size() || (s.size() == res.size() && s < res)) res = s; } cout << res << endl; cin >> n; return 0; }
#include <bits/stdc++.h> int n, m, k; char A[64][64]; int d[4]; char bestpath[3000]; int bestlen = -1; int sx = -1, sy = -1, tx = -1, ty = -1; int kolejka[3000]; int kval[100][100]; int prev[100][100]; int ks, kk; int main(void) { memset(A, 0, sizeof(A)); scanf("%d %d %d", &n, &m, &k); int i, j; for (i = 1; i <= n; i++) { scanf("%s", &A[i][1]); for (j = 1; j <= m; j++) { if (A[i][j] == 'S') { sy = i; sx = j; } if (A[i][j] == 'T') { ty = i; tx = j; } } } *bestpath = 0; for (d[0] = 'a'; d[0] <= 'z'; d[0]++) for (d[1] = d[0]; d[1] <= 'z'; d[1]++) for (d[2] = d[1]; d[2] <= 'z'; d[2]++) for (d[3] = d[2]; d[3] <= 'z'; d[3]++) { int diff = 0; int used[300]; memset(used, 0, sizeof(used)); for (i = 0; i < 4; i++) { if (used[d[i]] == 0) { diff++; } used[d[i]] = 1; } if (diff > k) { continue; } used['T'] = 1; memset(kval, 0xff, sizeof(kval)); ks = kk = 0; kval[sy][sx] = 0; kolejka[kk++] = sy * 100 + sx; int currentlen = -1; int inklen = 0; int ddy[4] = {0, -1, 0, 1}; int ddx[4] = {-1, 0, 1, 0}; while (ks != kk) { int p = kolejka[ks]; int py = p / 100; int px = p % 100; ks++; if (px == tx && py == ty) { currentlen = kval[py][px]; break; } for (i = 0; i < 4; i++) { int nx = px + ddx[i]; int ny = py + ddy[i]; if (!used[A[ny][nx]]) { continue; } if (kval[ny][nx] != -1) { continue; } prev[ny][nx] = p; kval[ny][nx] = kval[py][px] + 1; kolejka[kk++] = ny * 100 + nx; } } if (currentlen != -1) { } if (currentlen != -1 && (bestlen == -1 || currentlen - 1 <= bestlen)) { currentlen--; char tpath[3000]; memset(tpath, '-', sizeof(tpath)); tpath[currentlen] = 0; int ts = 0, te = 0; int avail[64][64], good[64][64]; memset(avail, 0, sizeof(avail)); memset(good, 0, sizeof(good)); avail[sy][sx] = 1; good[ty][tx] = 1; int kolejka2[3000]; int ks2, ke2; ks2 = ke2 = 0; kolejka2[ke2++] = ty * 100 + tx; good[ty][tx] = 1; while (ks2 != ke2) { int p = kolejka2[ks2++]; int py = p / 100; int px = p % 100; int k; for (k = 0; k < 4; k++) { int nx = px + ddx[k]; int ny = py + ddy[k]; if (kval[ny][nx] == kval[py][px] - 1 && !good[ny][nx]) { good[ny][nx] = 1; kolejka2[ke2++] = ny * 100 + nx; } } } ts = 1; for (i = 1; i <= currentlen; i++) { te = ts; while (te < kk && kval[kolejka[te] / 100][kolejka[te] % 100] == i) { te++; } bool found = false; for (j = 'a'; j <= 'z'; j++) { if (used[j]) { int s; for (s = ts; s <= te - 1; s++) { int p = kolejka[s]; int py = p / 100; int px = p % 100; if (A[py][px] != j) { continue; } if (!good[py][px]) { continue; } int k; for (k = 0; k < 4; k++) { int nx = px + ddx[k]; int ny = py + ddy[k]; if (kval[ny][nx] == i - 1 && avail[ny][nx]) { avail[py][px] = 1; found = true; } } } } if (found) { break; } } tpath[i - 1] = j; ts = te; } if (bestlen == -1 || currentlen < bestlen) { bestlen = currentlen; strcpy(bestpath, tpath); } else { if (strcmp(tpath, bestpath) < 0) { strcpy(bestpath, tpath); } } } } if (bestlen == -1) { printf("-1\n"); } else { printf("%s\n", bestpath); } return 0; }
#include <bits/stdc++.h> int n, m, u, v, cnt; int pos[30], dir[4][2] = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}}; char s[60][60], s2[3000], ans[3000], tmp[3000]; int d[3000], in[3000], next[3000], q[1000000 + 1], f, r, mind; int cmp(int a, int b) { int flag = 0; while (a != -1 && b != -1) { if (s2[a] < s2[b]) { flag = -1; break; } else if (s2[a] > s2[b]) { flag = 1; break; } else { a = next[a]; b = next[b]; } } return flag; } void spfa(int M) { int i, j, nc; int cu, nv, x, y, nx, ny; memset(d, -1, sizeof(d)); memset(in, 0, sizeof(in)); memset(next, -1, sizeof(next)); f = r = 0; q[r++] = v; d[v] = 0; in[v] = 1; while (f != r) { cu = q[f]; in[cu] = 0; f = (f + 1) % 1000000; x = cu / m; y = cu % m; for (i = 0; i < 4; i++) { nx = x + dir[i][0]; ny = y + dir[i][1]; nv = nx * m + ny; if (0 <= nx && nx < n && 0 <= ny && ny < m && (nv == u || (M & (1 << pos[s2[nv] - 'a'])) != 0)) { if (d[nv] == -1 || d[nv] > d[cu] + 1 || (d[nv] == d[cu] + 1 && cmp(cu, next[nv]) <= 0)) { d[nv] = d[cu] + 1; next[nv] = cu; if (in[nv] == 0) { in[nv] = 1; q[r] = nv; r = (r + 1) % 1000000; } } } } } if (d[u] != -1 && (mind == -1 || mind >= d[u])) { cu = u; j = 0; while (cu != v && cu != -1) { tmp[j++] = s2[cu]; cu = next[cu]; } tmp[j] = '\0'; if (mind == -1 || mind > d[u] || (mind == d[u] && strcmp(tmp, ans) < 0)) { strcpy(ans, tmp); } mind = d[u]; } } int mask[20000], mm; void dfs(int i, int state, int k) { if (k == 0) { mask[mm++] = state; return; } if (i < 0) { return; } dfs(i - 1, state, k); state = state | (1 << i); dfs(i - 1, state, k - 1); } int main() { int i, j, k; while (scanf("%d%d%d", &n, &m, &k) == 3) { cnt = 0; memset(pos, -1, sizeof(pos)); for (i = 0; i < n; i++) { scanf("%s", s[i]); for (j = 0; j < m; j++) { if (s[i][j] == 'S') { u = i * m + j; } else if (s[i][j] == 'T') { v = i * m + j; } else { if (pos[s[i][j] - 'a'] == -1) { pos[s[i][j] - 'a'] = cnt++; } } s2[i * m + j] = s[i][j]; } } mm = 0; for (i = 0; i <= k; i++) { dfs(cnt - 1, 0, i); } mind = -1; for (i = 0; i < mm; i++) { spfa(mask[i]); } if (mind == -1) { printf("-1\n"); } else { puts(ans + 1); } } return 0; }
#include <bits/stdc++.h> using namespace std; struct triple { int val, r, c, par; triple(int _v, int _r, int _c, int _p) { val = _v, r = _r, c = _c, par = _p; } bool operator<(const triple &a) const { return val > a.val; } }; int n, m, k, len; int rs, cs, re, ce; int dir[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; char mat[60][60]; bool mark[60][60]; int dist[60][60]; int par[60][60]; bool ok[30]; string res; priority_queue<triple> q[2]; string bfs() { for (int i = 0; i < 2; i++) while (!q[i].empty()) q[i].pop(); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { mark[i][j] = false; dist[i][j] = -1; par[i][j] = -1; } } dist[rs][cs] = 0; int cur = 0, bef = 1, prev, cnt; q[cur].push(triple(1, rs, cs, -1)); while (!q[0].empty() || !q[1].empty()) { if (q[bef].empty()) { bef = 1 - bef; cur = 1 - cur; prev = cnt = 0; } triple t = q[bef].top(); q[bef].pop(); int r = t.r; int c = t.c; int val = t.val; if (val > prev) cnt++; prev = val; if (par[r][c] != -1) continue; par[r][c] = t.par; if (len != -1 && dist[r][c] > len + 1) break; if (r == re && c == ce) break; for (int i = 0; i < 4; i++) { int nr = r + dir[i][0]; int nc = c + dir[i][1]; if ((nr == re && nc == ce) || (nr >= 0 && nr < n && nc >= 0 && nc < m && ok[mat[nr][nc] - 'a'])) { if (dist[nr][nc] == -1 || dist[nr][nc] == dist[r][c] + 1) { dist[nr][nc] = dist[r][c] + 1; int nval = cnt * 30 + mat[nr][nc] - 'a'; q[cur].push(triple(nval, nr, nc, i)); } } } } if (par[re][ce] == -1) return ""; string res; int x = re, y = ce; while (x != rs || y != cs) { res = mat[x][y] + res; int p = par[x][y]; x -= dir[p][0]; y -= dir[p][1]; } return res; } void bt(int str, int rem) { if (rem == 0) { string tmp = bfs(); if (tmp.length() < 1) return; tmp = tmp.substr(0, (int)tmp.length() - 1); if (len == -1 || tmp.length() < len || (tmp.length() == len && tmp < res)) { len = tmp.length(); res = tmp; } } else { for (int i = str; i < 26; i++) { ok[i] = true; bt(i + 1, rem - 1); ok[i] = false; } } } int main() { while (cin >> n >> m >> k) { len = -1; res = ""; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> mat[i][j]; if (mat[i][j] == 'S') rs = i, cs = j; if (mat[i][j] == 'T') re = i, ce = j; } } bt(0, k); if (len == -1) cout << -1 << endl; else cout << res << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; struct timer { time_t start; timer() { start = clock(); } ~timer() { cerr << 1. * (clock() - start) / CLOCKS_PER_SEC << " secs" << endl; } }; int n, m, K; char c[55][55]; int sy, sx, ty, tx; map<int, string> d[55][55]; int dy[] = {0, 1, 0, -1}; int dx[] = {1, 0, -1, 0}; string shortest[55][55]; int smask[55][55]; struct state { int y, x; string s; int mask; state(int y, int x, string s, int mask) : y(y), x(x), s(s), mask(mask) {} }; const bool operator<(const state& a, const state& b) { return ((int)a.s.size()) > ((int)b.s.size()) || ((int)a.s.size()) == ((int)b.s.size()) && a.s > b.s; } const bool better(string s, string t) { return ((int)s.size()) < ((int)t.size()) || ((int)s.size()) == ((int)t.size()) && s < t; } int main() { cin.tie(0); ios_base::sync_with_stdio(0); cin >> n >> m >> K; for (int i = 1; i < (n + 1); i++) for (int j = 1; j < (m + 1); j++) { cin >> c[i][j]; if (c[i][j] == 'S') sy = i, sx = j; if (c[i][j] == 'T') ty = i, tx = j; } for (int i = 1; i < (n + 1); i++) for (int j = 1; j < (m + 1); j++) { shortest[i][j] = string(n * m, '~'); } d[sy][sx][0] = ""; priority_queue<state> Q; Q.push(state(sy, sx, "", 0)); while (((int)Q.size())) { state s = Q.top(); Q.pop(); if (s.y == ty && s.x == tx) { cout << s.s.substr(0, ((int)s.s.size()) - 1); return 0; } for (int i = 0; i < (4); i++) { int ny = s.y + dy[i], nx = s.x + dx[i]; if (!c[ny][nx] || c[ny][nx] == 'S') continue; if (c[ny][nx] != 'T' && __builtin_popcount(s.mask) == K && !(s.mask >> (c[ny][nx] - 'a') & 1)) continue; string ndist = s.s + c[ny][nx]; int nmask = s.mask | (c[ny][nx] == 'T' ? 0 : 1 << (c[ny][nx] - 'a')); if (!better(ndist, shortest[ny][nx]) && (smask[ny][nx] & nmask) == smask[ny][nx]) continue; if (shortest[ny][nx][0] == '~') { shortest[ny][nx] = ndist; smask[ny][nx] = nmask; } if (d[ny][nx].find(nmask) == d[ny][nx].end() || better(ndist, d[ny][nx][nmask])) { d[ny][nx][nmask] = ndist; Q.push(state(ny, nx, ndist, nmask)); } } } cout << -1; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int S, T; string s[55]; set<pair<int, int>> se; int dist(int a, int b) { return abs(a / m - b / m) + abs(a % m - b % m); } int dir[4][2] = {0, 1, 1, 0, 0, -1, -1, 0}; void Dijstra() { priority_queue<pair<pair<int, string>, pair<int, int>>, vector<pair<pair<int, string>, pair<int, int>>>, greater<pair<pair<int, string>, pair<int, int>>>> Q; Q.push({{dist(S, T), ""}, {0, S}}); pair<pair<int, string>, pair<int, int>> ss; string str; int book, pos; int x, y, xx, yy; while (!Q.empty()) { ss = Q.top(); Q.pop(); str = ss.first.second; book = ss.second.first; pos = ss.second.second; if (!se.count({book, pos})) { se.insert({book, pos}); x = pos / m, y = pos % m; for (int i = 0; i < 4; i++) { xx = x + dir[i][0]; yy = y + dir[i][1]; if (xx >= 0 && xx < n && yy >= 00 && yy < m) { if (s[xx][yy] == 'T') { cout << str << endl; exit(0); } if (__builtin_popcount(book | (1 << (s[xx][yy] - 'a'))) <= k) Q.push({{dist(xx * m + yy, T) + str.length() + 1, str + s[xx][yy]}, {book | (1 << (s[xx][yy] - 'a')), xx * m + yy}}); } } } } } int main() { std::ios::sync_with_stdio(false); cin >> n >> m >> k; for (int i = 0; i < n; i++) { cin >> s[i]; for (int j = 0; j < m; j++) { if (s[i][j] == 'S') { S = i * m + j; } if (s[i][j] == 'T') { T = i * m + j; } } } Dijstra(); cout << -1 << endl; }
#include <bits/stdc++.h> using namespace std; string res; int c[26], w[26]; bool vis[26]; int f[60][60]; char g[60][60]; int n, m, k, s1, s2, e1, e2, tot, step, maxstep; int way[4][2] = {{0, -1}, {0, 1}, {1, 0}, {-1, 0}}; struct In { int l; int r; string ss; } s[3000]; void bfs() { memset(f, -1, sizeof(f)); int i, j, first = 0, last = 1, len = 1, move = 1, ll; s[0].l = s1; s[0].r = s2; s[0].ss = ""; f[s1][s2] = 0; string a; bool z = false; while (first < last) { for (i = first; i < last; i++) { for (j = 0; j < 4; j++) { int p, q; p = s[i].l + way[j][0]; q = s[i].r + way[j][1]; if (p >= 0 && p < n && q >= 0 && q < m) { if (f[p][q] != -1 && f[p][q] < move) continue; a = s[i].ss; if (step == maxstep && a >= res) continue; if (g[p][q] == 'T') { if (res == "") { res = a; step = move; } else { int x1 = a.length(), x2 = res.length(); if (x1 < x2 || (x1 == x2 && a < res)) { res = a; if (move < step) step = move; } } z = true; } else if (!z) { bool zz = false; for (ll = 0; ll < tot && ll < k; ll++) { if (w[ll] == g[p][q] - 'a') { zz = true; break; } } if (zz) { a += g[p][q]; for (ll = last; ll < len; ll++) if (s[ll].l == p && s[ll].r == q) { if (s[ll].ss > a) s[ll].ss = a; break; } if (ll == len) { s[len].l = p; s[len].r = q; s[len].ss = a; len++; f[p][q] = move; } } } } } } if (z) break; first = last; last = len; move++; if (move > step) break; } } void dfs(int x, int y) { if (x == tot) return; w[y] = c[x]; if (y == k - 1) { bfs(); } else dfs(x + 1, y + 1); dfs(x + 1, y); } int main() { while (cin >> n >> m >> k) { int i, j; tot = 0; memset(vis, 0, sizeof(vis)); for (i = 0; i < n; i++) { cin >> g[i]; for (j = 0; j < m; j++) { if (g[i][j] == 'S') { s1 = i; s2 = j; } else if (g[i][j] == 'T') { e1 = i; e2 = j; } else if (g[i][j] >= 'a' && g[i][j] <= 'z') { if (!vis[g[i][j] - 'a']) { c[tot++] = g[i][j] - 'a'; vis[g[i][j] - 'a'] = 1; } } } } maxstep = abs(s1 - e1) + abs(s2 - e2); step = 3000; if (tot <= k) { for (i = 0; i < tot; i++) w[i] = c[i]; bfs(); } else dfs(0, 0); if (step == 3000) cout << -1 << endl; else cout << res << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 50 + 10; char board[M][M]; char graph[M][M]; struct NODE { int parent_row; int parent_col; int dis; int visited; string par; } node[M][M]; int cnt = 0; int pattern[26 * 25 * 23 + 10][5]; void nchoosek(int num, int *a, int tar, int len, int isize, int spe) { if (isize == tar) { int j = 0; for (int i = 0; i < len; i++) { if (a[i] == 1) { pattern[cnt][j] = i; j++; } } cnt++; return; } else { for (int i = num; i < len; i++) { if (i != spe) { a[i] = 1; nchoosek(i + 1, a, tar, len, isize + 1, spe); a[i] = 0; } } return; } } string ans; int LEN = 1E+9; int dir[8] = {0, 1, 0, -1, -1, 0, 1, 0}; int n, m; void BFS(int sr, int sc, int er, int ec) { queue<pair<int, int> > Q; Q.push(make_pair(sr, sc)); node[sr][sc].visited = 1; node[sr][sc].dis = 0; while (!Q.empty()) { int row = Q.front().first; int col = Q.front().second; Q.pop(); for (int i = 0; i < 8; i = i + 2) { int nrow = row + dir[i]; int ncol = col + dir[i + 1]; if (nrow >= 0 && nrow < n && ncol >= 0 && ncol < m && (graph[nrow][ncol] == 'O' || graph[nrow][ncol] == 'T')) { if (node[nrow][ncol].visited == 1) { if (node[nrow][ncol].dis == node[row][col].dis + 1) { int prow = node[nrow][ncol].parent_row; int pcol = node[nrow][ncol].parent_col; if (node[row][col].par < node[prow][pcol].par) { node[nrow][ncol].parent_row = row; node[nrow][ncol].parent_col = col; node[nrow][ncol].par = node[row][col].par + board[nrow][ncol]; } } } else { node[nrow][ncol].parent_row = row; node[nrow][ncol].parent_col = col; node[nrow][ncol].dis = node[row][col].dis + 1; node[nrow][ncol].visited = 1; node[nrow][ncol].par = node[row][col].par + board[nrow][ncol]; if (nrow == er && ncol == ec) { ; } else { Q.push(make_pair(nrow, ncol)); } } } } } if (node[er][ec].visited == 1) { int row = er; int col = ec; vector<char> tmp; while (row != sr || col != sc) { tmp.push_back(board[row][col]); int irow = node[row][col].parent_row; int icol = node[row][col].parent_col; row = irow; col = icol; } tmp.push_back(board[sr][sc]); if (tmp.size() < LEN) { ans = ""; for (int i = tmp.size() - 1; i >= 0; i--) { ans = ans + tmp[i]; } LEN = tmp.size(); } else { if (tmp.size() == LEN) { string ss = ""; for (int i = tmp.size() - 1; i >= 0; i--) { ss += tmp[i]; } if (ss < ans) { ans = ss; } } } } return; } int main() { int k; cin >> n >> m >> k; set<char> letter; int sr, sc; int er, ec; for (int i = 0; i < n; i++) { string s; cin >> s; for (int j = 0; j < m; j++) { board[i][j] = s[j]; if (s[j] == 'S') { sr = i; sc = j; } if (s[j] == 'T') { er = i; ec = j; } if (s[j] != 'S' && s[j] != 'T') { letter.insert(s[j]); } } } vector<char> grid; for (set<char>::iterator it = letter.begin(); it != letter.end(); it++) { grid.push_back(*it); } sort(grid.begin(), grid.end()); if (grid.size() < k) { k = grid.size(); } for (int kk = 0; kk < 8; kk += 2) { int isr = sr + dir[kk]; int isc = sc + dir[kk + 1]; if (isr >= 0 && isr < n && isc >= 0 && isc < m) { for (int ksize = 1; ksize <= k; ksize++) { cnt = 0; int a[26]; for (int j = 0; j < grid.size(); j++) { a[j] = 0; } char cc = board[isr][isc]; int inum = -1; for (int ii = 0; ii < grid.size(); ii++) { if (grid[ii] == cc) { inum = ii; break; } } a[inum] = 1; nchoosek(0, a, ksize, grid.size(), 1, inum); for (int i = 0; i < cnt; i = i + 1) { for (int row = 0; row < n; row++) { for (int col = 0; col < m; col++) { if (board[row][col] == 'S') { graph[row][col] = 'S'; } if (board[row][col] == 'T') { graph[row][col] = 'T'; } if (board[row][col] != 'S' && board[row][col] != 'T') { graph[row][col] = 'X'; for (int j = 0; j < ksize; j++) { if (board[row][col] == grid[pattern[i][j]]) { graph[row][col] = 'O'; } } } } } for (int row = 0; row < n; row++) { for (int col = 0; col < m; col++) { node[row][col].visited = 0; } } BFS(isr, isc, er, ec); } } } } if (LEN == 1E+9) { if (n * m > 2) cout << "-1" << endl; } else { for (int i = 0; i < ans.size() - 1; i++) { cout << ans[i]; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; set<int> was; pair<int, int> pr[55][55]; int ds[55][55]; int dx[] = {-1, 0, 1, 0}; int dy[] = {0, 1, 0, -1}; char a[55][55]; int n, m, k, si, sj, fi, fj; string ans = ""; bool ex = 0; inline bool ok(int i, int j) { return (i >= 0 && i < n && j >= 0 && j < m); } void go(int mask, int cnt) { if (was.find(mask) != was.end()) return; was.insert(mask); for (int(move) = 0; (move) < (1); ++(move)) { for (int(i) = 0; (i) < (n); ++(i)) for (int(j) = 0; (j) < (m); ++(j)) ds[i][j] = 1000000000; queue<pair<int, int> > q; q.push(make_pair(fi, fj)); ds[fi][fj] = 0; while (!q.empty()) { pair<int, int> cur = q.front(); q.pop(); for (int(l) = 0; (l) < (4); ++(l)) if (ok(cur.first + dx[l], cur.second + dy[l]) && ds[cur.first + dx[l]][cur.second + dy[l]] == 1000000000) if (a[cur.first + dx[l]][cur.second + dy[l]] == 'S' || (mask & (1 << (a[cur.first + dx[l]][cur.second + dy[l]] - 'a')))) { ds[cur.first + dx[l]][cur.second + dy[l]] = ds[cur.first][cur.second] + 1; q.push(make_pair(cur.first + dx[l], cur.second + dy[l])); } } if (ds[si][sj] == 1000000000) break; if (ex && ds[si][sj] - 1 > (int)ans.size()) break; string cur = ""; int step = ds[si][sj]; for (int(i) = 0; (i) < (n); ++(i)) for (int(j) = 0; (j) < (m); ++(j)) if (ds[i][j] == step && (i != si || j != sj)) ds[i][j] = -1; while (step > 1) { char bst = 'z'; for (int(i) = 0; (i) < (n); ++(i)) for (int(j) = 0; (j) < (m); ++(j)) if (ds[i][j] == step) for (int(l) = 0; (l) < (4); ++(l)) if (ok(i + dx[l], j + dy[l]) && ds[i + dx[l]][j + dy[l]] == ds[i][j] - 1) bst = min(bst, a[i + dx[l]][j + dy[l]]); for (int(i) = 0; (i) < (n); ++(i)) for (int(j) = 0; (j) < (m); ++(j)) if (ds[i][j] == step - 1) { bool can = 0; for (int(l) = 0; (l) < (4); ++(l)) if (ok(i + dx[l], j + dy[l]) && ds[i + dx[l]][j + dy[l]] == step) can = 1; if (a[i][j] != bst) can = 0; if (!can) ds[i][j] = -1; } cur += bst; --step; } if (!ex || ((int)cur.size() < (int)ans.size()) || ((int)cur.size() == (int)ans.size() && cur < ans)) { ex = 1; ans = cur; } } if (cnt < k) for (int(i) = 0; (i) < (26); ++(i)) if (!(mask & (1 << i))) go(mask | (1 << i), cnt + 1); } int main() { cin >> n >> m >> k; for (int(i) = 0; (i) < (n); ++(i)) for (int(j) = 0; (j) < (m); ++(j)) { cin >> a[i][j]; if (a[i][j] == 'S') si = i, sj = j; else if (a[i][j] == 'T') fi = i, fj = j; } go(0, 0); if (ex) cout << ans << endl; else cout << "-1\n"; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long S = 0; char ch = ' '; bool f = 0; while (!isdigit(ch)) { f |= (ch == '-'); ch = getchar(); } while (isdigit(ch)) { S = (S << 3) + (S << 1) + (ch - '0'); ch = getchar(); } return (f) ? (-S) : (S); } inline void write(long long x) { if (x < 0) { putchar('-'); x = -x; } if (x < 10) { putchar(x + '0'); return; } write(x / 10); putchar(x % 10 + '0'); } const int N = 55; int n, m, k, can[N][N]; char a[N][N]; int dx[] = {-1, 0, 0, 1}, dy[] = {0, -1, 1, 0}; struct node { int x, y, lim; string jyl; inline bool operator<(const node &tmp) const { return (tmp.jyl.size() != jyl.size()) ? (tmp.jyl.size() < jyl.size()) : (tmp.jyl < jyl); } }; priority_queue<node> que; set<int> arr[N][N]; inline int js(int x) { int i, jyl = 0; for (i = 0; i <= 25; i++) if (x & (1 << i)) jyl++; return jyl; } int main() { int i, j, o, x, y, lim; n = read(); m = read(); k = read(); for (i = 0; i < n; i++) cin >> a[i]; for (i = 0; i < n; i++) for (j = 0; j < m; j++) if (a[i][j] == 'S') { que.push((node){i, j, 0, ""}); while (!que.empty()) { node now = que.top(); que.pop(); for (o = 0; o < 4; o++) { x = now.x + dx[o]; y = now.y + dy[o]; if (x < 0 || y < 0 || x >= n || y >= m || a[x][y] == 'S') continue; if (a[x][y] == 'T') { cout << now.jyl << endl; return 0; } lim = now.lim | (1 << (a[x][y] - 'a')); if (js(lim) > k || arr[x][y].count(lim)) continue; if (can[x][y] && (can[x][y] & lim) == can[x][y]) continue; can[x][y] = lim; arr[x][y].insert(lim); que.push((node){x, y, lim, now.jyl + a[x][y]}); } } puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7; int add(int a, int b) { if ((a += b) >= P) a -= P; return a; } int sub(int a, int b) { if ((a -= b) < 0) a += P; return a; } int mul(int a, int b) { return 1ll * a * b % P; } int kpow(int a, int b) { int r = 1; for (; b; b >>= 1, a = mul(a, a)) { if (b & 1) r = mul(r, a); } return r; } const int N = 51; int ans2, n, m, k, use[1000], d[N][N]; string ans, a[N], ss[N][N]; queue<pair<int, int> > q; pair<int, int> s, t; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; void solve() { memset(d, 0, sizeof(d)); q.push(s); d[s.first][s.second] = 1; ss[t.first][t.second] = "S"; while (!q.empty()) { auto tmp = q.front(); q.pop(); int x = tmp.first, y = tmp.second; for (int i = (0); i < (4); i++) { int xx = x + dx[i], yy = y + dy[i]; if (xx > n || xx < 1 || yy > m || yy < 1 || !use[a[xx][yy]]) continue; if (xx == t.first && yy == t.second) { if (!d[xx][yy]) d[xx][yy] = d[x][y] + 1; if (d[xx][yy] != d[x][y] + 1) continue; if (ss[xx][yy] == "S") ss[xx][yy] = ss[x][y]; else ss[xx][yy] = min(ss[xx][yy], ss[x][y]); continue; } if (!d[xx][yy]) { d[xx][yy] = d[x][y] + 1; ss[xx][yy] = ss[x][y] + a[xx][yy]; q.push(make_pair(xx, yy)); } else if (d[xx][yy] == d[x][y] + 1) ss[xx][yy] = min(ss[x][y] + a[xx][yy], ss[xx][yy]); } } if (d[t.first][t.second] == 0) return; if (d[t.first][t.second] < ans2) { ans2 = d[t.first][t.second]; ans = ss[t.first][t.second]; } if (d[t.first][t.second] > ans2) return; ans = min(ans, ss[t.first][t.second]); } void dfs(int d, int now) { if (d == k + 1) { solve(); return; } for (int i = (now); i < ('z' + 1); i++) { use[i] = 1; dfs(d + 1, i + 1); use[i] = 0; } } int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); cin >> n >> m >> k; for (int i = (1); i < (n + 1); i++) cin >> a[i], a[i] = " " + a[i]; for (int i = (1); i < (n + 1); i++) for (int j = (1); j < (m + 1); j++) if (a[i][j] == 'S') s = make_pair(i, j); else if (a[i][j] == 'T') t = make_pair(i, j); use['T'] = 1; ans2 = (1ll << (30)); ans = "S"; dfs(1, 'a'); if (ans == "S") cout << -1; else cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 50 + 5; int R, C, K; char g[maxn][maxn]; int sx, sy, tx, ty; bool flag[300]; int mindist; string ans; const int dx[] = {0, 1, -1, 0}; const int dy[] = {1, 0, 0, -1}; bool mark[maxn][maxn]; int dist[maxn][maxn]; string board[maxn][maxn]; set<pair<int, int> > grid[maxn * maxn]; void calc() { memset(dist, -1, sizeof dist); memset(mark, false, sizeof mark); queue<pair<int, int> > q; dist[tx][ty] = 0; board[tx][ty] = ""; q.push(make_pair(tx, ty)); while (!q.empty()) { int x = q.front().first; int y = q.front().second; q.pop(); for (int i = 0; i < 4; ++i) { int xx = x + dx[i], yy = y + dy[i]; if (xx >= 0 && xx < R && yy >= 0 && yy < C && (flag[g[xx][yy]] || g[xx][yy] == 'S')) { if (dist[xx][yy] == -1) { dist[xx][yy] = dist[x][y] + 1; q.push(make_pair(xx, yy)); } } } } if (dist[sx][sy] == -1) return; string ret = ""; int curd = dist[sx][sy]; grid[curd].clear(); grid[curd].insert(make_pair(sx, sy)); while (curd > 0) { char best = 'z' + 1; for (set<pair<int, int> >::iterator it = grid[curd].begin(); it != grid[curd].end(); ++it) { for (int i = 0; i < 4; ++i) { int xx = it->first + dx[i], yy = it->second + dy[i]; if (xx >= 0 && xx < R && yy >= 0 && yy < C && dist[xx][yy] + 1 == curd) { if (g[xx][yy] < best) { best = g[xx][yy]; grid[curd - 1].clear(); grid[curd - 1].insert(make_pair(xx, yy)); } else if (best == g[xx][yy]) { grid[curd - 1].insert(make_pair(xx, yy)); } } } } ret += best; curd--; } ret = ret.substr(0, (int)ret.size() - 1); if (mindist == -1 || dist[sx][sy] < mindist || dist[sx][sy] == mindist && ret < ans) { ans = ret; mindist = dist[sx][sy]; } } void dfs(int dep, int last) { if (last == 26) { if (dep == 0) { calc(); } return; } dfs(dep, last + 1); if (dep > 0) { flag['a' + last] = 1; dfs(dep - 1, last + 1); flag['a' + last] = 0; } } int main() { scanf("%d%d%d", &R, &C, &K); for (int i = 0; i < R; ++i) { scanf("%s", g[i]); } for (int i = 0; i < R; ++i) { for (int j = 0; j < C; ++j) { if (g[i][j] == 'S') { sx = i; sy = j; } if (g[i][j] == 'T') { tx = i; ty = j; } } } if (abs(sx - tx) + abs(tx - ty) == 1) { puts(""); return 0; } ans = ""; mindist = -1; memset(flag, 0, sizeof flag); dfs(K, 0); if (mindist == -1) { printf("%d\n", -1); } else { puts(ans.c_str()); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 64; const int inf = 0x3f3f3f3f; int n, m, k; int sx, sy, tx, ty; char mat[maxn][maxn]; bool allow[128]; struct point { int x, y, pre; point(int xx = 0, int yy = 0, int pp = 0) : x(xx), y(yy), pre(pp) {} friend bool operator<(const point& lhs, const point& rhs) { return (lhs.pre != rhs.pre) ? lhs.pre < rhs.pre : mat[lhs.x][lhs.y] < mat[rhs.x][rhs.y]; } }; int prex[maxn][maxn]; int prey[maxn][maxn]; int dist[maxn][maxn]; int dx[4] = {-1, 0, 0, 1}; int dy[4] = {0, -1, 1, 0}; void bfs() { memset(dist, 63, sizeof(dist)); vector<point> U, V; dist[sx][sy] = 0; U.push_back(point(sx, sy, 0)); int cnt = 0; while (!U.empty()) { sort(U.begin(), U.end()); for (int i = 0, mxRank = 0; i < U.size(); ++i) { point u = U[i]; if (i != 0 && (mat[U[i].x][U[i].y] != mat[U[i - 1].x][U[i - 1].y] || U[i].pre != U[i - 1].pre)) ++mxRank; for (int j = 0; j < 4; ++j) { point v(u.x + dx[j], u.y + dy[j], mxRank); if (dist[v.x][v.y] == inf && allow[mat[v.x][v.y]]) { V.push_back(v); dist[v.x][v.y] = dist[u.x][u.y] + 1; prex[v.x][v.y] = u.x; prey[v.x][v.y] = u.y; } if (v.x == tx && v.y == ty) return; } } U.swap(V); V.clear(); } } int main() { int ans = inf; vector<string> s; cin >> n >> m >> k; for (int i = 1; i <= n; ++i) { for (int j = 1; j <= m; ++j) { cin >> mat[i][j]; if (mat[i][j] == 'S') { sx = i; sy = j; } else if (mat[i][j] == 'T') { tx = i; ty = j; } } } allow['T'] = true; for (char l1 = 'a'; l1 <= 'z'; ++l1) { for (char l2 = l1; l2 <= 'z'; ++l2) { for (char l3 = l2; l3 <= 'z'; ++l3) { for (char l4 = l3; l4 <= 'z'; ++l4) { int cnt = 1; if (l2 != l1) ++cnt; if (l3 != l2) ++cnt; if (l4 != l3) ++cnt; if (cnt > k) continue; allow[l1] = allow[l2] = allow[l3] = allow[l4] = true; bfs(); allow[l1] = allow[l2] = allow[l3] = allow[l4] = false; if (dist[tx][ty] > ans || dist[tx][ty] == inf) continue; if (dist[tx][ty] < ans) { ans = dist[tx][ty]; s.clear(); } int fx = tx, fy = ty, ffx, ffy; string tmps; while (true) { ffx = prex[fx][fy]; ffy = prey[fx][fy]; fx = ffx; fy = ffy; if (fx == sx && fy == sy) break; tmps = mat[fx][fy] + tmps; } s.push_back(tmps); } } } } if (ans != inf) { sort(s.begin(), s.end()); for (int i = 0; i < s[0].size(); ++i) cout << (s[0][i]); cout << endl; } else { cout << EOF << endl; } }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000000000") using namespace std; const long long int INF = 10000; int n, m, k, fx, fy, tx, ty; pair<int, int> gone[4] = {make_pair(0, 1), make_pair(0, -1), make_pair(1, 0), make_pair(-1, 0)}; bool correct(int x, int y) { return x >= 0 && y >= 0 && x < n && y < m; } int ma[51][51]; int dest[51][51]; int check[51][51]; int used[51][51]; void ch_dfs(int x, int y) { if (dest[x][y] == INF) return; used[x][y]++; for (int i = 0; i < (4); i++) { int tox = x + gone[i].first; int toy = y + gone[i].second; if (correct(tox, toy) && !used[tox][toy] && dest[tox][toy] == dest[x][y] - 1) { check[tox][toy] = check[x][y] + 1; ch_dfs(tox, toy); } } } bool comp(string &f, string &s) { if (s == "-") return true; return (f.length() < s.length() || (f.length() == s.length() && f < s)); } string minans = "-"; pair<int, int> par[51][51]; void dfs(int x, int y) { string cur = ""; vector<pair<int, pair<int, int> > > nex, f; for (int i = 0; i < (n); i++) for (int j = 0; j < (m); j++) { par[i][j] = make_pair(-1, -1); } f.push_back(make_pair(ma[x][y], make_pair(x, y))); while (!f.empty()) { nex.clear(); for (int i = 0; i < ((int)f.size()); i++) { if (i && f[i].first > f[i - 1].first) break; x = f[i].second.first; y = f[i].second.second; used[x][y]++; for (int i = 0; i < (4); i++) { int tox = x + gone[i].first; int toy = y + gone[i].second; if (correct(tox, toy) && ((check[tox][toy] != -1 && check[tox][toy] == check[x][y] - 1) || (tox == tx && toy == ty)) && !used[tox][toy]) { par[tox][toy] = make_pair(x, y); used[tox][toy]++; nex.push_back(make_pair(ma[tox][toy], make_pair(tox, toy))); } } } sort(nex.begin(), nex.end()); f = nex; } x = tx; y = ty; while (x != -1) { cur += (char)ma[x][y] + 'a'; int nx = par[x][y].first; int ny = par[x][y].second; x = nx; y = ny; } reverse(cur.begin(), cur.end()); if (comp(cur, minans)) { minans = cur; } } void bfs(int x, int y, vector<int> &cur) { map<int, int> good; for (int i = 0; i < ((int)cur.size()); i++) { good[cur[i]]++; } good[ma[x][y]]++; for (int i = 0; i < (n); i++) for (int j = 0; j < (m); j++) { dest[i][j] = INF; check[i][j] = -1; used[i][j] = 0; } dest[x][y] = 0; dest[fx][fy] = 0; queue<pair<int, int> > q; q.push(make_pair(x, y)); while (!q.empty()) { int xi = q.front().first; int yi = q.front().second; q.pop(); for (int i = 0; i < (4); i++) { int tox = xi + gone[i].first; int toy = yi + gone[i].second; if (correct(tox, toy) && (good.count(ma[tox][toy]) || (tox == tx && toy == ty)) && dest[tox][toy] > dest[xi][yi] + 1) { dest[tox][toy] = dest[xi][yi] + 1; q.push(make_pair(tox, toy)); } } } if (dest[tx][ty] == INF) return; check[tx][ty] = 0; ch_dfs(tx, ty); memset(used, 0, sizeof used); string curi = ""; curi += ((char)'a' + ma[x][y]); dfs(x, y); } vector<pair<int, int> > fr; void gen(int len, vector<int> &cur) { if (!len) { for (int i = 0; i < ((int)fr.size()); i++) { bfs(fr[i].first, fr[i].second, cur); } return; } int fr = (!(int)cur.size() ? 0 : cur.back() + 1); for (int i = fr; i <= 'z' - 'a'; i++) { cur.push_back(i); gen(len - 1, cur); cur.pop_back(); } } int main() { cin >> n >> m >> k; for (int i = 0; i < (n); i++) for (int j = 0; j < (m); j++) { char c; cin >> c; ma[i][j] = c - 'a'; if (c == 'S') { fx = i; fy = j; } if (c == 'T') { tx = i; ty = j; } } for (int i = 0; i < (4); i++) { int tox = fx + gone[i].first; int toy = fy + gone[i].second; if (correct(tox, toy)) { fr.push_back(make_pair(tox, toy)); } } vector<int> temp; gen(k - 1, temp); if (minans == "-") cout << -1; else { minans.resize((int)minans.size() - 1); cout << minans; } }
#include <bits/stdc++.h> using namespace std; const long double EPS = 1E-9; const int INF = (int)1E9; const long long INF64 = (long long)1E18; const long double PI = 2 * acos(.0); char mapa[55][55]; int resp[55][55]; bool dk[55][55]; pair<int, int> path[55][55]; int n, m, kk; int mx[4] = {0, 0, 1, -1}; int my[4] = {1, -1, 0, 0}; int xini, yini, xfin, yfin; int checkmask = -1; string recover(int x, int y) { if (x == xini && y == yini) return ""; if (mapa[x][y] == 'S') return recover(path[x][y].first, path[x][y].second); return mapa[x][y] + recover(path[x][y].first, path[x][y].second); } string bfs() { string result = ">"; int len = INF; for (int i = 0; i < 26; i++) { for (int j = i; j < 26; j++) { for (int k = j; k < 26; k++) { for (int l = k; l < 26; l++) { int mask = 0; mask |= (1 << l); if (kk > 1) mask |= (1 << k); if (kk > 2) mask |= (1 << j); if (kk > 3) mask |= (1 << i); if (__builtin_popcount(mask) != kk) continue; memset(resp, -1, sizeof(resp)); memset(dk, false, sizeof(dk)); if (checkmask == mask) continue; resp[xini][yini] = 0; queue<pair<int, int> > cola; cola.push(make_pair(xini, yini)); while (!cola.empty()) { int nx = cola.front().first; int ny = cola.front().second; cola.pop(); if (dk[nx][ny]) continue; dk[nx][ny] = true; if (resp[nx][ny] > len) break; for (int i = 0; i < (int)(4); i++) { int mmx = nx + mx[i]; int mmy = ny + my[i]; if (!(mmx >= 0 && mmx < n && mmy >= 0 && mmy < m)) continue; int value = mapa[mmx][mmy] - 'a'; if (!(mask & (1 << value)) && mapa[mmx][mmy] != 'T' && mapa[mmx][mmy] != 'S') continue; if (resp[mmx][mmy] == -1) { resp[mmx][mmy] = resp[nx][ny] + 1; cola.push(make_pair(mmx, mmy)); path[mmx][mmy] = make_pair(nx, ny); } else if (resp[mmx][mmy] == resp[nx][ny] + 1) { int cur1x, cur1y, cur2x, cur2y; cur1x = path[mmx][mmy].first; cur1y = path[mmx][mmy].second; cur2x = nx; cur2y = ny; while (mapa[cur1x][cur1y] == mapa[cur2x][cur2y]) { int tmp = path[cur1x][cur1y].first; cur1y = path[cur1x][cur1y].second; cur1x = tmp; tmp = path[cur2x][cur2y].first; cur2y = path[cur2x][cur2y].second; cur2x = tmp; if ((cur1x == cur2x && cur1y == cur2y)) break; } if (mapa[cur1x][cur1y] >= mapa[cur2x][cur2y]) { path[mmx][mmy] = make_pair(nx, ny); } } } } if (resp[xfin][yfin] != -1) { string aux = recover(xfin, yfin); if (resp[xfin][yfin] < len) { result = aux; len = resp[xfin][yfin]; } else if (resp[xfin][yfin] == len) { if (result == ">" || result > aux) result = aux; } } checkmask = mask; } } } } if (result == ">") return "-1"; return result; } int main() { scanf("%d%d%d", &n, &m, &kk); for (int i = 0; i < (int)(n); i++) { scanf("%s", mapa[i]); for (int j = 0; j < (int)(m); j++) { if (mapa[i][j] == 'T') { xini = i; yini = j; } else if (mapa[i][j] == 'S') { xfin = i; yfin = j; } } } cout << bfs() << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int bcount[1 << 12]; set<pair<int, int> > Set; string Map[60]; int n, m, k; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; int ex, ey; int dist(int ax, int ay, int bx, int by) { return abs(ax - bx) + abs(ay - by); } struct Node { int x, y; string S; int mask; bool operator<(const Node &b) const { if (S.size() + dist(x, y, ex, ey) == b.S.size() + dist(b.x, b.y, ex, ey)) return S.compare(b.S) > 0; else return S.size() + dist(x, y, ex, ey) > b.S.size() + dist(b.x, b.y, ex, ey); } }; int getbcount(int m) { int ret = 0; while (m > 0) { ret += bcount[m & ((1 << 10) - 1)]; m >>= 10; } return ret; } int main() { for (int i = 0; i <= (1 << 10); i++) bcount[i] = bcount[i / 2] + (i & 1 ? 1 : 0); cin >> n >> m >> k; for (int i = 0; i < n; i++) cin >> Map[i]; int x, y; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (Map[i][j] == 'S') x = i, y = j; if (Map[i][j] == 'T') ex = i, ey = j; } priority_queue<Node> q; q.push((Node){x, y, "", 0}); bool found = false; while (!q.empty()) { Node cur = q.top(); q.pop(); if (cur.x == ex && cur.y == ey) { cout << cur.S << endl; found = true; break; } if (Set.find(make_pair(cur.x * m + cur.y, cur.mask)) != Set.end()) continue; Set.insert(make_pair(cur.x * m + cur.y, cur.mask)); for (int d = 0; d < 4; d++) { Node nxt = cur; nxt.x += dx[d]; nxt.y += dy[d]; if (!(nxt.x >= 0 && nxt.x <= n - 1 && nxt.y >= 0 && nxt.y <= m - 1)) continue; if (Map[nxt.x][nxt.y] != 'T') { nxt.mask |= (1 << (Map[nxt.x][nxt.y] - 'a')); nxt.S += Map[nxt.x][nxt.y]; } if (getbcount(nxt.mask) <= k) q.push(nxt); } } if (!found) printf("-1\n"); }
#include <bits/stdc++.h> int IntMaxVal = (int)1e20; int IntMinVal = (int)-1e20; long long LongMaxVal = (long long)1e20; long long LongMinVal = (long long)-1e20; using namespace std; template <typename T> struct argument_type; template <typename T, typename U> struct argument_type<T(U)> {}; template <typename T1, typename T2> istream& operator>>(istream& is, pair<T1, T2>& s) { is >> s.first >> s.second; return is; } template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) { for (int i = 0; i < v.size(); i++) os << v[i] << ' '; os << '\n'; ; return os; } template <typename T1, typename T2> ostream& operator<<(ostream& s, pair<T1, T2>& t) { s << t.first << ' ' << t.second; return s; } template <typename T> vector<T> readVector(int n) { vector<T> res(n); for (int i = 0; i < n; i++) cin >> res[i]; return res; } vector<string> f; int n, m; int sx, sy; int ex, ey; int wayLen[50][50]; bool visited[50][50]; class wayNode { public: vector<pair<char, char> > positions; int cameFrom; char cameBy; }; vector<wayNode> q(2501); inline void tryQueue(int destIndex, int y, int x, char c) { if (y < 0 || x < 0 || y == n || x == m || (f[y][x] != c && f[y][x] != 'T') || visited[y][x]) return; q[destIndex].positions.push_back(make_pair((char)y, (char)x)); visited[y][x] = true; } inline void tryQueue(int curIndex, int& destIndex, char c) { for (auto& pos : q[curIndex].positions) { tryQueue(destIndex, pos.first - 1, pos.second, c); tryQueue(destIndex, pos.first + 1, pos.second, c); tryQueue(destIndex, pos.first, pos.second - 1, c); tryQueue(destIndex, pos.first, pos.second + 1, c); } if (q[destIndex].positions.size()) { q[destIndex].cameBy = c; q[destIndex].cameFrom = curIndex; destIndex++; q[destIndex].positions.clear(); } } vector<char> path; string getAns(char c1, char c2, char c3, char c4) { for (int y = 0; y < n; ++y) for (int x = 0; x < m; ++x) wayLen[y][x] = -1; for (int y = 0; y < n; ++y) for (int x = 0; x < m; ++x) visited[y][x] = false; int nextP = 0; q[nextP].positions.clear(); q[nextP].positions.push_back(make_pair(sy, sx)); q[nextP].cameFrom = -1; visited[sy][sx] = true; nextP++; q[nextP].positions.clear(); if (c2 < c1) swap(c1, c2); if (c3 < c2) swap(c2, c3); if (c4 < c3) swap(c3, c4); for (int i = 0; i < q.size(); ++i) { for (auto& p : q[i].positions) if (p.first == ey && p.second == ex) { path.clear(); int pointer = i; pointer = q[pointer].cameFrom; while (pointer) { path.push_back(q[pointer].cameBy); pointer = q[pointer].cameFrom; } string res = ""; for (int j = path.size() - 1; j >= 0; --j) res.push_back(path[j]); for (int j = 0; j < nextP; ++j) vector<pair<char, char> >().swap(q[j].positions); return res; } if (c1 != '-') tryQueue(i, nextP, c1); if (c2 != '-') tryQueue(i, nextP, c2); if (c3 != '-') tryQueue(i, nextP, c3); if (c4 != '-') tryQueue(i, nextP, c4); } for (int j = 0; j < nextP; ++j) vector<pair<char, char> >().swap(q[j].positions); return "|"; } int main() { srand(time(NULL)); ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> m; int k; cin >> k; ; f = readVector<string>(n); for (int y = 0; y < n; ++y) for (int x = 0; x < m; ++x) if (f[y][x] == 'S') { sx = x; sy = y; } for (int y = 0; y < n; ++y) for (int x = 0; x < m; ++x) if (f[y][x] == 'T') { ex = x; ey = y; } vector<char> starts; if (sx > 0) starts.push_back(f[sy][sx - 1]); if (sx < m - 1) starts.push_back(f[sy][sx + 1]); if (sy > 0) starts.push_back(f[sy - 1][sx]); if (sy < n - 1) starts.push_back(f[sy + 1][sx]); starts.push_back('a'); sort(starts.begin(), starts.end()); starts.resize(unique(starts.begin(), starts.end()) - starts.begin()); string ans = "|"; bool hasAns = false; for (auto c1 : starts) if (c1 != 'T') { for (char c2 = 'a'; c2 <= 'z'; c2++) for (char c3 = c2 + 1; c3 <= 'z'; c3++) for (char c4 = c3 + 1; c4 <= 'z'; c4++) { if (c1 == c2 || c1 == c3 || c1 == c4) continue; string s = getAns(c1, k > 1 ? c2 : '-', k > 2 ? c3 : '-', k > 3 ? c4 : '-'); if (s[0] == '|') continue; if (!hasAns || s.length() < ans.length() || (s.length() == ans.length() && s < ans)) ans = s, hasAns = true; } } if (!hasAns) { cout << -1; } else { cout << ans; } }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; char field[55][55]; int n, m, k; int can; int sx, sy, tx, ty; int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; string ans; vector<char> vt; bool out(int x, int y) { return x < 0 || x >= n || y < 0 || y >= m; } void cal() { int dist[55][55]; fill(dist[0], dist[n], INF); queue<pair<int, int> > Q; Q.push(make_pair(tx, ty)); dist[tx][ty] = 0; while (!Q.empty()) { pair<int, int> now = Q.front(), next; Q.pop(); if (now == make_pair(sx, sy)) { break; } for (int i = 0; i < 4; i++) { next = now; next.first += dx[i]; next.second += dy[i]; if (out(next.first, next.second) || dist[next.first][next.second] != INF) { continue; } if (next != make_pair(sx, sy) && (can & (1 << field[next.first][next.second] - 'a')) == 0) { continue; } dist[next.first][next.second] = dist[now.first][now.second] + 1; Q.push(next); } } if (dist[sx][sy] == INF) { return; } int len = dist[sx][sy] - 1; if (ans != "-1" && len > ans.length()) { return; } string path; vector<pair<int, int> > vt[2]; int p = 0, q = 1; vt[p].push_back(make_pair(sx, sy)); for (int i = 0; i < len; i++) { vt[q].clear(); for (vector<pair<int, int> >::iterator it = vt[p].begin(); it != vt[p].end(); it++) { pair<int, int> now = *it, next; for (int i = 0; i < 4; i++) { next = now; next.first += dx[i]; next.second += dy[i]; if (out(next.first, next.second) || dist[next.first][next.second] != dist[now.first][now.second] - 1) { continue; } if (vt[q].empty()) { vt[q].push_back(next); } else { pair<int, int> &f = vt[q].front(); if (field[f.first][f.second] > field[next.first][next.second]) { vt[q].clear(); vt[q].push_back(next); } else if (field[f.first][f.second] == field[next.first][next.second]) { vt[q].push_back(next); } } } } sort(vt[q].begin(), vt[q].end()); vt[q].resize(unique(vt[q].begin(), vt[q].end()) - vt[q].begin()); pair<int, int> &f = vt[q].front(); path += field[f.first][f.second]; swap(p, q); } if (ans == "-1" || len < ans.length()) { ans = path; return; } if (ans > path) { ans = path; } } void dfs(int pos, int have) { if (have == k) { cal(); return; } for (int i = pos; i < vt.size(); i++) { can ^= (1 << vt[i]); dfs(i + 1, have + 1); can ^= (1 << vt[i]); } } int dist(const pair<int, int> &a, const pair<int, int> &b) { return abs(a.first - b.first) + abs(a.second - b.second); } struct Node { string path; pair<int, int> pos; int mask; Node() {} Node(string _path, pair<int, int> _pos, int _mask) { path = _path; pos = _pos; mask = _mask; } }; pair<int, int> T; bool operator<(const Node &A, const Node &B) { if (A.path.length() + dist(A.pos, T) != B.path.length() + dist(B.pos, T)) { return A.path.length() + dist(A.pos, T) > B.path.length() + dist(B.pos, T); } return A.path > B.path; } inline int lowbit(int mask) { return mask & (-mask); } inline int bitcount(int mask) { int cnt = 0; while (mask > 0) { cnt++; mask -= lowbit(mask); } return cnt; } int main() { for (; ~scanf("%d%d%d", &n, &m, &k);) { vt.clear(); for (int i = 0; i < n; i++) { scanf("%s", field[i]); for (int j = 0; j < m; j++) { if (field[i][j] == 'S') { sx = i; sy = j; } else if (field[i][j] == 'T') { tx = i; ty = j; } else { vt.push_back(field[i][j] - 'a'); } } } string ans = "-1"; set<pair<int, int> > iset; T = make_pair(tx, ty); priority_queue<Node> PQ; PQ.push(Node("", make_pair(sx, sy), 0)); while (!PQ.empty()) { Node now = PQ.top(); PQ.pop(); if (now.pos == T) { ans = now.path; break; } if (iset.count( make_pair(now.mask, now.pos.first * 100 + now.pos.second)) > 0) { continue; } iset.insert(make_pair(now.mask, now.pos.first * 100 + now.pos.second)); for (int i = 0; i < 4; i++) { pair<int, int> npos = now.pos; npos.first += dx[i]; npos.second += dy[i]; if (out(npos.first, npos.second)) { continue; } int mask = now.mask; string path = now.path; if (field[npos.first][npos.second] != 'T') { mask |= 1 << (field[npos.first][npos.second] - 'a'); path += field[npos.first][npos.second]; } if (iset.count(make_pair(mask, npos.first * 100 + npos.second)) > 0) { continue; } if (bitcount(mask) <= k) { PQ.push(Node(path, npos, mask)); } } } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; struct data { int x, y, l, bnd; data(int a, int b, int c, int d) { x = a, y = b, l = c; bnd = d; } data(){}; }; int n, m, k, sx, sy, ex, ey; bool use[30]; int ck[30]; int pos[55][55]; int d[55][55]; char a[55][55]; int xx[] = {1, 0, -1, 0}; int yy[] = {0, 1, 0, -1}; bool CK; int S, E; vector<pair<char, data> > v; data from[55][55]; data q[5000]; string rst; string go(int y, int x) { string bur; if (y == sy && x == sx) return ""; if (a[y][x] != 'T') bur += a[y][x]; return bur + go(from[y][x].y, from[y][x].x); } bool sf(pair<char, data> a, pair<char, data> b) { return a.first < b.first; } int main() { scanf("%d%d%d", &n, &m, &k); int i, j; for (i = 1; i <= n; i++) scanf("%s", &a[i][1]); for (i = 1; i <= 4000; i++) rst += 'z'; for (i = 0; i < k; i++) use[i] = 1; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { if (a[i][j] == 'S') sx = j, sy = i; if (a[i][j] == 'T') ex = j, ey = i; } while (1) { next_permutation(use, use + 27); if (use[0]) break; int cnt = 0; memset(ck, 0, sizeof(ck)); for (i = 1; i <= 26; i++) if (use[i]) ck[i] = ++cnt; if (ck[1] == 1 && ck[2] == 2 && ck[3] == 3) { i = i; } for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) pos[i][j] = ck[a[i][j] - 'a' + 1]; pos[sy][sx] = pos[ey][ex] = 1; S = E = 1; memset(d, 0, sizeof(d)); memset(q, 0, sizeof(q)); q[S] = data(sx, sy, 1, 1); d[sy][sx] = 1; data K; while (S <= E) { int nE; K = q[S]; if (K.x == ex && K.y == ey) { break; } for (nE = S; nE <= K.bnd; nE++) { int x = q[nE].x; int y = q[nE].y; if (q[nE].l == K.l && a[y][x] == a[K.y][K.x]) continue; else break; } for (int j = S; j < nE; j++) { for (int i = 0; i < 4; i++) { int nx = q[j].x + xx[i]; int ny = q[j].y + yy[i]; if (d[ny][nx] || !pos[ny][nx]) continue; d[ny][nx] = q[j].l + 1; from[ny][nx] = q[j]; v.push_back(make_pair(a[ny][nx], data(nx, ny, q[j].l + 1, 0))); } } sort(v.begin(), v.end(), sf); for (int i = 0; i < v.size(); i++) { q[++E] = v[i].second; } for (int i = 0; i < v.size(); i++) { q[E - i].bnd = E; } v.clear(); S = nE; } if (d[ey][ex] == 0) continue; if (d[ey][ex] - 2 > rst.size()) continue; CK = 1; string bur = go(ey, ex); reverse(bur.begin(), bur.end()); if (rst.size() < bur.size()) continue; else if (rst.size() == bur.size()) rst = min(rst, bur); else rst = bur; } if (CK == 0) printf("-1"); else cout << rst; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 52; int n, m, k, sx, sy, ex, ey, dx[] = {0, 0, 1, -1}, dy[] = {-1, 1, 0, 0}, mask, cnt[maxn][maxn]; string ans, tmp; char ar[maxn][maxn], par[maxn][maxn]; bool mark[maxn][maxn]; vector<int> sn, en; pair<int, int> op, dad[maxn][maxn], x; bool comp(pair<int, int> a, pair<int, int> b) { if (par[a.first][a.second] < par[b.first][b.second]) return 1; else if (par[a.first][a.second] == par[b.first][b.second] && cnt[dad[a.first][a.second].first][dad[a.first][a.second].second] < cnt[dad[b.first][b.second].first][dad[b.first][b.second].second]) return 1; return 0; } bool check(int x, int y, int i) { if (x + dx[i] > -1 && x + dx[i] < n && y + dy[i] > -1 && y + dy[i] < m) return 1; return 0; } void pri(int x, int y) { tmp += ar[x][y]; if (!(ex == x && ey == y)) pri(dad[x][y].first, dad[x][y].second); } void dij() { vector<pair<int, int>> q1, q2; q1.push_back({ex, ey}); dad[sx][sy] = {-1, -1}; while (!q1.empty()) { int koft = 0; while (koft < q1.size()) { bool oo = 0; x = q1[koft]; cnt[x.first][x.second] = koft++; mark[x.first][x.second] = 1; if (ar[x.first][x.second] == 'T' || mask & (1 << ((int)ar[x.first][x.second] - 'a'))) for (int i = 0; i < 4; i++) { int xx = x.first + dx[i], yy = x.second + dy[i]; if (check(x.first, x.second, i) && !mark[xx][yy]) { if (par[xx][yy] == 0) par[xx][yy] = ar[x.first][x.second], dad[xx][yy] = x, q2.push_back({xx, yy}); else if (ar[x.first][x.second] < par[xx][yy]) par[xx][yy] = ar[x.first][x.second], dad[xx][yy] = x; } } } q1.clear(); swap(q1, q2); sort(q1.begin(), q1.end(), comp); } if (dad[sx][sy] != make_pair(-1, -1)) { tmp.clear(); pri(sx, sy); if (ans.empty()) ans = tmp; else { if (tmp.size() < ans.size()) ans = tmp; else if (tmp.size() == ans.size()) ans = min(tmp, ans); } } for (int i = 0; i < maxn; i++) for (int j = 0; j < maxn; j++) mark[i][j] = 0, par[i][j] = 0; } int main() { ios_base::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 >> ar[i][j]; if (ar[i][j] == 'S') sx = i, sy = j; if (ar[i][j] == 'T') ex = i, ey = j; } for (int i = 0; i < 4; i++) { if (check(sx, sy, i) && ar[sx + dx[i]][sy + dy[i]] != 'T') sn.push_back((int)ar[sx + dx[i]][sy + dy[i]] - 'a'); if (check(ex, ey, i) && ar[ex + dx[i]][ey + dy[i]] != 'S') en.push_back((int)ar[ex + dx[i]][ey + dy[i]] - 'a'); } for (int i = 1; i < (1 << 26); i++) if (__builtin_popcount(i) <= k) { mask = i; bool u = 0; for (int uu : sn) if (mask & (1 << uu)) u = 1; if (sn.empty()) u = 1; if (u) dij(); } if (ans.empty()) return cout << -1 << endl, 0; for (int i = 1; i < ans.size() - 1; i++) cout << ans[i]; cout << endl; }
#include <bits/stdc++.h> using namespace std; int n, m, k; char mapa[55][55]; pair<int, int> ini, fim; int dX[] = {1, 0, -1, 0}; int dY[] = {0, -1, 0, 1}; set<int> set_cores[55][55]; struct evento { int x, y, cores, dist; string caminho; evento(int x, int y) : x(x), y(y), cores(0), dist(0), caminho("") {} evento(int x, int y, int d, int co, string c) : x(x), y(y), cores(co), dist(d), caminho(c) {} bool operator<(const evento& o) const { return tie(dist, caminho) > tie(o.dist, o.caminho); } }; bool invalid(int nx, int ny) { return nx < 0 || nx >= n || ny < 0 || ny >= m; } void dijkstra() { priority_queue<evento> pfila; pfila.push(evento(ini.first, ini.second)); while (!pfila.empty()) { evento u = pfila.top(); pfila.pop(); int x = u.x, y = u.y; if (mapa[x][y] == 'T') { cout << u.caminho << endl; return; } for (int i = 0; i < 4; i++) { int nx = x + dX[i]; int ny = y + dY[i]; string ncaminho = u.caminho; int ncores = u.cores; if (invalid(nx, ny)) continue; if (mapa[nx][ny] >= 'a' && mapa[nx][ny] <= 'z') { ncaminho += mapa[nx][ny]; ncores |= (1 << (mapa[nx][ny] - 'a')); } int flag_visitado = 0; for (auto cor : set_cores[nx][ny]) { if ((cor | ncores) == ncores) { flag_visitado = 1; break; } } if (flag_visitado) continue; if (__builtin_popcount(ncores) <= k) { set_cores[nx][ny].insert(ncores); pfila.push(evento(nx, ny, u.dist + 1, ncores, ncaminho)); } } } cout << "-1" << endl; } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) { scanf("%s", mapa[i]); for (int j = 0; j < m; j++) { if (mapa[i][j] == 'S') { ini = {i, j}; } if (mapa[i][j] == 'T') { fim = {i, j}; } } } dijkstra(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 60; const int maxs = 2600; const int dx[] = {0, 1, -1, 0}; const int dy[] = {1, 0, 0, -1}; char g[maxn][maxn]; int dist[maxn][maxn]; int sx, sy, tx, ty, n, m, typeCnt; set<pair<int, int> > ord[maxs]; string ans; int ansLen; void work(int stat) { queue<int> q; q.push(tx); q.push(ty); memset(dist, -1, sizeof dist); dist[tx][ty] = 0; for (; !q.empty();) { int x = q.front(); q.pop(); int y = q.front(); q.pop(); 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) { continue; } if (g[xx][yy] == 'S' || (stat & (1 << (g[xx][yy] - 'a')))) { if (dist[xx][yy] == -1) { dist[xx][yy] = dist[x][y] + 1; q.push(xx); q.push(yy); } } } } if (dist[sx][sy] == -1 || dist[sx][sy] > ansLen) { return; } string path = ""; int len = dist[sx][sy]; for (int i = 0; i <= len; ++i) { ord[i].clear(); } ord[len].insert(make_pair(sx, sy)); for (int i = len; i > 0; --i) { char best = 'z' + 1; for (set<pair<int, int> >::iterator it = ord[i].begin(); it != ord[i].end(); ++it) { for (int k = 0; k < 4; ++k) { int x = it->first + dx[k]; int y = it->second + dy[k]; if (x >= 0 && x < n && y >= 0 && y < m && dist[x][y] + 1 == i) { if (g[x][y] < best) { best = g[x][y]; ord[i - 1].clear(); } if (g[x][y] == best) { ord[i - 1].insert(make_pair(x, y)); } } } } path += best; } if (len < ansLen || len == ansLen && path < ans) { ansLen = len; ans = path; } } void dfs(int i, int j, int stat) { if (i == 26) { if (j > 0) { work(stat); } return; } if (j < typeCnt) { dfs(i + 1, j + 1, stat | (1 << i)); } dfs(i + 1, j, stat); } int main() { cin >> n >> m >> typeCnt; for (int i = 0; i < n; ++i) { cin >> g[i]; } for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { if (g[i][j] == 'S') { sx = i; sy = j; } if (g[i][j] == 'T') { tx = i; ty = j; } } } ansLen = 1000000000; ans = ""; dfs(0, 0, 0); if (ansLen > 1000000) { cout << "-1\n"; } else { ans = ans.substr(0, ans.size() - 1); cout << ans << endl; } }
#include <bits/stdc++.h> using namespace std; int n, m, k; string a[52]; int dr[] = {-1, 0, 1, 0}; int dc[] = {0, -1, 0, 1}; int sr, sc, tr, tc; string ans(52 * 52, ' '); bool allowed['z' + 1] = {0}; bool vis[52][52]; int d[52][52]; void bfs() { for (char i = 'a'; i <= 'z'; ++i) if (allowed[(int)i]) clog << i; clog << endl; static queue<pair<char, char> > qu; memset(d, -1, sizeof(d)); d[tr][tc] = 0; for (qu.push({tr, tc}); qu.size(); qu.pop()) { int r = qu.front().first, c = qu.front().second; for (int i = -1; ++i < 4;) { int tr = r + dr[i], tc = c + dc[i]; if (tr < 0 or tr >= n or tc < 0 or tc >= m) continue; if (d[tr][tc] != -1) continue; if (a[tr][tc] == 'S' or allowed[(int)a[tr][tc]]) d[tr][tc] = d[r][c] + 1; if (!allowed[(int)a[tr][tc]]) continue; qu.push({tr, tc}); } } if (d[sr][sc] == -1) return; static vector<pair<char, char> > curlay, nxtlay; curlay.clear(); nxtlay.clear(); curlay.push_back({sr, sc}); string tans = ""; memset(vis, 0, sizeof(vis)); for (int i = -1; ++i < d[sr][sc] - 1;) { char minchar = 'z' + 1; for (; curlay.size(); curlay.pop_back()) { int r = curlay.back().first, c = curlay.back().second; for (int i = -1; ++i < 4;) { int tr = r + dr[i], tc = c + dc[i]; if (tr < 0 or tr >= n or tc < 0 or tc >= m) continue; if (vis[tr][tc]) continue; if (a[tr][tc] != 'S' and a[tr][tc] != 'T' and !allowed[(int)a[tr][tc]]) continue; if (d[tr][tc] != d[r][c] - 1) continue; vis[tr][tc] = 1; if (a[tr][tc] < minchar) { minchar = a[tr][tc]; nxtlay.clear(); } if (a[tr][tc] == minchar) nxtlay.push_back({tr, tc}); } } tans += minchar; curlay = nxtlay; nxtlay.clear(); } if (((int)ans.size()) < ((int)tans.size())) return; if (((int)ans.size()) > ((int)tans.size()) or ans > tans) ans = tans; } void process(int i = 'a') { if (k == 0) { bfs(); return; } if (i > 'z') return; for (int t = -1; ++t < 2;) { k -= t; allowed[i] = t; process(i + 1); allowed[i] = 0; k += t; } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m >> k; for (int i = -1; ++i < n;) cin >> a[i]; for (int i = -1; ++i < n;) for (int f = -1; ++f < m;) { if (a[i][f] == 'S') sr = i, sc = f; if (a[i][f] == 'T') tr = i, tc = f; } process(); if (((int)ans.size()) > m * n) ans = "-1"; cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 51; const int maxm = 26; const int dir[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}}; struct Position { int x, y; }; Position st, en; int n, m, k; char mp[maxn][maxn]; bool hv[maxm], us[maxm]; int hc; string ph, th; int ml, tl; int sd[maxn][maxn], ed[maxn][maxn]; queue<Position> qe; bool Bound(Position p) { return p.x >= 0 && p.x < n && p.y >= 0 && p.y < m; } void Bfs(Position s, int dis[maxn][maxn]) { int i, j; Position nw, nx; for (i = 0; i < n; i++) { for (j = 0; j < m; j++) dis[i][j] = -1; } dis[s.x][s.y] = 0; qe.push(s); while (!qe.empty()) { nw = qe.front(); qe.pop(); for (i = 0; i < 4; i++) { nx.x = nw.x + dir[i][0]; nx.y = nw.y + dir[i][1]; if (Bound(nx) && dis[nx.x][nx.y] == -1) { if (!(mp[nx.x][nx.y] >= 'a' && mp[nx.x][nx.y] <= 'z' && us[mp[nx.x][nx.y] - 'a'] == 0)) { qe.push(nx); dis[nx.x][nx.y] = dis[nw.x][nw.y] + 1; } } } } } void FindPath() { vector<Position> tmp; Position nw, nx; char mi = 'z' + 1; int step = 1; int i; qe.push(st); while (!qe.empty()) { nw = qe.front(); qe.pop(); for (i = 0; i < 4; i++) { nx.x = nw.x + dir[i][0]; nx.y = nw.y + dir[i][1]; if (Bound(nx) && sd[nx.x][nx.y] == step && sd[nx.x][nx.y] + ed[nx.x][nx.y] == tl) { sd[nx.x][nx.y] = -1; if (mp[nx.x][nx.y] < mi) { mi = mp[nx.x][nx.y]; tmp.clear(); tmp.push_back(nx); } else if (mp[nx.x][nx.y] == mi) { tmp.push_back(nx); } } } if (qe.empty()) { if (tmp.empty()) break; while (!tmp.empty()) { qe.push(tmp.back()); tmp.pop_back(); } if (mi != 'T') th += mi; mi = 'z' + 1; step++; } } } void Run() { tl = -1; th = ""; Bfs(st, sd); Bfs(en, ed); if (sd[en.x][en.y] == -1) return; tl = sd[en.x][en.y]; FindPath(); if (ml == -1 || ml > tl || (ml == tl && ph > th)) { ml = tl; ph = th; } } void Select(int xp, int au) { if (au >= k) { Run(); return; } if (xp >= maxm) { return; } if (hv[xp]) { us[xp] = 1; Select(xp + 1, au + 1); us[xp] = 0; } Select(xp + 1, au); } int main() { int i, j; while (cin >> n >> m >> k) { for (i = 0; i < n; i++) cin >> mp[i]; memset(hv, 0, sizeof(hv)); for (i = 0; i < n; i++) { for (j = 0; j < m; j++) { if (mp[i][j] >= 'a' && mp[i][j] <= 'z') hv[mp[i][j] - 'a'] = 1; else if (mp[i][j] == 'S') st.x = i, st.y = j; else if (mp[i][j] == 'T') en.x = i, en.y = j; } } hc = 0; for (i = 0; i < maxm; i++) if (hv[i]) hc++; ml = -1; ph = ""; if (k >= hc) { for (i = 0; i < maxm; i++) us[i] = 1; Run(); } else { memset(us, 0, sizeof(us)); Select(0, 0); } if (ml == -1) cout << "-1" << endl; else cout << ph << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k, s, t, l = 2500, X, Y; int u[30], a[2505], c, p[5], dis[2505]; string ans = "-1"; vector<int> v[2505]; int q[2505], qs, ps; pair<pair<int, int>, int> P[2505]; string r[2505]; bool b[2505]; bool g[2505]; void cty() { q[1] = s; r[s] = ""; qs = 1; memset(g, 0, sizeof(g)); b[1] = 1; g[s] = 1; while (qs) { c = 0; ps = 0; for (int i = 1; i <= qs; i++) { if (b[i]) c++; for (int j = 0; j < v[q[i]].size(); j++) { int k = v[q[i]][j]; if (g[k] || !u[a[k]]) continue; g[k] = 1; P[++ps] = make_pair(make_pair(c, a[k]), k); r[k] = r[q[i]] + (char)(96 + a[k]); } } sort(P + 1, P + ps + 1); b[1] = 1; for (int i = 2; i <= ps; i++) b[i] = (P[i].first != P[i - 1].first); qs = ps; for (int i = 1; i <= ps; i++) q[i] = P[i].second; } if (!g[t]) return; r[t].erase(r[t].size() - 1); if (r[t].size() < l || (r[t].size() == l && r[t] < ans)) ans = r[t], l = ans.size(); } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { c++; char x; scanf(" %c", &x); if (x == 'S') s = c; else if (x == 'T') t = c, X = i, Y = j; else a[c] = x - 'a' + 1; if (j < m) v[c].push_back(c + 1); if (i > 1) v[c].push_back(c - m); if (i < n) v[c].push_back(c + m); if (j > 1) v[c].push_back(c - 1); } } for (int i = 1; i <= k; i++) p[i] = i; while (!p[0]) { memset(u, 0, sizeof(u)); u[0] = 1; for (int i = 1; i <= k; i++) u[p[i]] = 1; cty(); int o = k; while (p[o] == 26 + o - k) o--; p[o]++; for (int i = o + 1; i <= k; i++) p[i] = p[i - 1] + 1; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:134217728") using namespace std; template <class T> T abs(T x) { return x > 0 ? x : -x; } int n; int m; int matr[50][50]; bool cmp(string a, string b) { if (((int)(a).size()) != ((int)(b).size())) return ((int)(a).size()) < ((int)(b).size()); return a < b; } int x1, y95874, x2, y2; int d[50][50]; queue<pair<int, int> > q; int dx[4] = {1, 0, -1, 0}; int dy[4] = {0, 1, 0, -1}; int mask; int good(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m && (make_pair(x1, y95874) == make_pair(x, y) || make_pair(x2, y2) == make_pair(x, y) || ((1 << matr[x][y]) & mask) != 0); } void parse(pair<int, int> o) { int x = o.first; int y = o.second; int dist = d[x][y]; for (int i = 0; i < (4); i++) { int nx = x + dx[i]; int ny = y + dy[i]; if (good(nx, ny) && d[nx][ny] == -1) { d[nx][ny] = dist + 1; q.push(make_pair(nx, ny)); } } } string getans(int mask) { ::mask = mask; memset(d, -1, sizeof(d)); q.push(make_pair(x2, y2)); d[x2][y2] = 0; while (!q.empty()) { parse(q.front()); q.pop(); } if (d[x1][y95874] == -1) return "-"; int cx = x1, cy = y95874; string ans = ""; vector<pair<int, int> > v; v.push_back(make_pair(x1, y95874)); vector<pair<int, int> > tmp; tmp.reserve(1000); while (1) { int dist = d[v[0].first][v[0].second]; if (dist == 1) break; char bc = 'z' + 1; for (int o = 0; o < (((int)(v).size())); o++) for (int i = 0; i < (4); i++) { int nx = v[o].first + dx[i]; int ny = v[o].second + dy[i]; if (good(nx, ny) && d[nx][ny] == dist - 1) { if (matr[nx][ny] + 'a' < bc) { bc = matr[nx][ny] + 'a'; } } } tmp.clear(); for (int o = 0; o < (((int)(v).size())); o++) for (int i = 0; i < (4); i++) { int nx = v[o].first + dx[i]; int ny = v[o].second + dy[i]; if (good(nx, ny) && d[nx][ny] == dist - 1) { if (matr[nx][ny] + 'a' == bc) { tmp.push_back(make_pair(nx, ny)); } } } sort((tmp).begin(), (tmp).end()); tmp.resize(unique((tmp).begin(), (tmp).end()) - tmp.begin()); ans += bc; v = tmp; } return ans; } int main() { int k; scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < (n); i++) { char s[1000]; scanf("%s", s); for (int j = 0; j < (m); j++) { matr[i][j] = s[j] - 'a'; if (s[j] == 'S') { x1 = i; y95874 = j; } if (s[j] == 'T') { x2 = i; y2 = j; } } } vector<int> v; v.reserve(20000); for (int i = 0; i < ((1 << 26)); i++) { if (__builtin_popcount(i) <= k) v.push_back(i); } string res = "-"; for (int i = 0; i < (((int)(v).size())); i++) { string ans = getans(v[i]); if (ans != "-") if (res == "-" || cmp(ans, res)) res = ans; } if (res == "-") cout << -1 << endl; else cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, K, S, T; int dis(int a, int b) { return abs(a / m - b / m) + abs(a % m - b % m); } string s[55]; int main() { cin >> n >> m >> K; for (int i = 0; i < n; ++i) cin >> s[i]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { if (s[i][j] == 'S') S = i * m + j; if (s[i][j] == 'T') T = i * m + j; } priority_queue<pair<pair<int, string>, pair<int, int> >, vector<pair<pair<int, string>, pair<int, int> > >, greater<pair<pair<int, string>, pair<int, int> > > > Q; set<pair<int, int> > Set; Q.push(make_pair(make_pair(dis(S, T), ""), make_pair(0, S))); while (!Q.empty()) { pair<pair<int, string>, pair<int, int> > c = Q.top(); Q.pop(); string ss = c.first.second; int mask = c.second.first, id = c.second.second; if (Set.count(make_pair(mask, id))) continue; Set.insert(make_pair(mask, id)); int x = id / m, y = id % m; for (int d = 0; d < 4; ++d) { int nx = x + (d == 2) - (d == 0), ny = y + (d == 3) - (d == 1); if (nx < 0 || nx >= n || ny < 0 || ny >= m) continue; if (nx * m + ny == T) { cout << ss << endl; return 0; } string nss = ss + s[nx][ny]; int nmask = mask | (1 << (s[nx][ny] - 'a')); if (__builtin_popcount(nmask) <= K) Q.push( make_pair(make_pair(dis(nx * m + ny, T) + (int)(nss).size(), nss), make_pair(nmask, nx * m + ny))); } } cout << -1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; char a[55][55]; vector<vector<int> > c; int was[26]; int wass[55][55]; pair<int, int> Par[55][55]; int x[2510]; int y[2510]; int par[2510]; int d[2510]; int D[55][55]; int dx[] = {0, 1, 0, -1}; int dy[] = {1, 0, -1, 0}; string Path[55][55]; void dfs(int p, int k, vector<int> a) { if (k == 0) { c.push_back(a); return; } if (p == 26) { if (a.size()) c.push_back(a); return; } dfs(p + 1, k, a); a.push_back(p); dfs(p + 1, k - 1, a); } int main() { vector<int> aa; int n, m, k; scanf("%d%d%d", &n, &m, &k); dfs(0, k, aa); for (int i = (0); i < (n); ++i) scanf("%s", &a[i]); int x1, y1, x2, y2; for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) if (a[i][j] == 'S') { x1 = i; y1 = j; } else if (a[i][j] == 'T') { x2 = i; y2 = j; } bool f = false; string res = ""; for (int it = (0); it < (c.size()); ++it) { memset(wass, 0, sizeof(wass)); for (int i = (0); i < (n); ++i) for (int j = (0); j < (m); ++j) { D[i][j] = 2000000000; } if (it) for (int i = (0); i < (c[it - 1].size()); ++i) was[c[it - 1][i]] = 0; for (int i = (0); i < (c[it].size()); ++i) was[c[it][i]] = 1; int l = 0, r = 0; x[0] = x2; y[0] = y2; d[0] = 0; wass[x2][y2] = 1; par[0] = -1; int v = -1; D[x2][y2] = 0; while (l <= r) { vector<pair<char, pair<int, int> > > can; if (a[x[l]][y[l]] == 'S') v = 1; for (int k = (0); k < (4); ++k) { int xx = x[l] + dx[k]; int yy = y[l] + dy[k]; if ((xx > -1) && (yy > -1) && (xx < n) && (yy < m) && ((a[xx][yy] == 'S') || (was[a[xx][yy] - 'a'] == 1))) { if (wass[xx][yy] == 0) { can.push_back(make_pair(a[xx][yy], make_pair(xx, yy))); } } } sort(can.begin(), can.end()); for (int i = (0); i < (can.size()); ++i) { int xx = can[i].second.first; int yy = can[i].second.second; wass[xx][yy] = 1; r++; x[r] = xx; y[r] = yy; d[r] = d[l] + 1; D[xx][yy] = d[r]; par[r] = l; } l++; } if (v != -1) { vector<pair<int, int> > cur; cur.push_back(make_pair(x1, y1)); string res1 = ""; memset(wass, 0, sizeof(wass)); while (1) { int min1 = 2000000000; bool ff = true; for (int i = (0); i < (cur.size()); ++i) if ((cur[i].first == x2) && (cur[i].second == y2)) ff = false; if (!ff) break; for (int i = (0); i < (cur.size()); ++i) for (int j = (0); j < (4); ++j) { int xx = cur[i].first + dx[j]; int yy = cur[i].second + dy[j]; if ((xx > -1) && (yy > -1) && (xx < n) && (yy < m) && (wass[xx][yy] == 0) && (D[xx][yy] == D[cur[i].first][cur[i].second] - 1)) { min1 = ((min1 < a[xx][yy] - 'a') ? (min1) : (a[xx][yy] - 'a')); } } vector<pair<int, int> > cur1; for (int i = (0); i < (cur.size()); ++i) for (int j = (0); j < (4); ++j) { int xx = cur[i].first + dx[j]; int yy = cur[i].second + dy[j]; if ((xx > -1) && (yy > -1) && (xx < n) && (yy < m) && (wass[xx][yy] == 0) && (D[xx][yy] == D[cur[i].first][cur[i].second] - 1) && (a[xx][yy] == 'a' + min1)) { wass[xx][yy] = 1; cur1.push_back(make_pair(xx, yy)); } } cur = cur1; res1 += 'a' + min1; } res1 = res1.substr(0, res1.size() - 1); if (!f) { f = true; res = res1; } else if (res1.size() < res.size()) res = res1; else if ((res1.size() == res.size()) && (res1 < res)) res = res1; } } if (!f) printf("-1\n"); else cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct Node { int r, c; }; struct Node2 { int r, c, pr, pc; }; int N, M, K, SR, SC, TR, TC; char grid[52][52], cost2[50 * 50 + 2]; int cost[52][52], SP, mini; bool vis[52][52], available[512]; int dr[] = {-1, 1, 0, 0}, dc[] = {0, 0, 1, -1}; Node parent[52][52]; string ans; bool operator<(const Node2 &a, const Node2 &b) { if (cost[a.r][a.c] != cost[b.r][b.c]) return cost[a.r][a.c] > cost[b.r][b.c]; if (grid[a.r][a.c] != grid[b.r][b.c]) return grid[a.r][a.c] < grid[b.r][b.c]; if (a.r != b.r) return a.r < b.r; if (a.c != b.c) return a.c < b.c; if (a.pr != b.pr) return a.pr < b.pr; return a.pc < b.pc; } void getCoordinates(int &R, int &C, char x, char y) { for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) if (grid[i][j] == x) R = i, C = j, grid[i][j] = y; } void bfs() { SP = 1 << 30; memset(vis, 0, sizeof vis); memset(cost, 63, sizeof cost); queue<Node> q; q.push(Node{TR, TC}); cost[TR][TC] = 0; while (!q.empty()) { Node cur = q.front(), t; q.pop(); if (cur.r == SR && cur.c == SC) { SP = cost[SR][SC]; return; } if (vis[cur.r][cur.c]) continue; vis[cur.r][cur.c] = true; for (int i = 0; i < 4; i++) { t = Node{cur.r + dr[i], cur.c + dc[i]}; if (t.r >= 0 && t.r < N && t.c >= 0 && t.c < M && !vis[t.r][t.c] && available[(int)grid[t.r][t.c]] && cost[t.r][t.c] > cost[cur.r][cur.c] + 1) { cost[t.r][t.c] = cost[cur.r][cur.c] + 1; q.push(t); } } } } void dijkstra() { for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) parent[i][j] = Node{-1, -1}; if (cost[SR][SC] >= 1 << 20) return; memset(vis, 0, sizeof vis); memset(cost2, 'z' + 5, sizeof cost2); set<Node2> s; s.insert(Node2{SR, SC, -1, -1}); while (!s.empty()) { Node2 cur = *s.begin(); s.erase(s.begin()); if (vis[cur.r][cur.c] || cost2[SP - cost[cur.r][cur.c]] < grid[cur.r][cur.c]) continue; vis[cur.r][cur.c] = true; cost2[SP - cost[cur.r][cur.c]] = grid[cur.r][cur.c]; parent[cur.r][cur.c] = Node{cur.pr, cur.pc}; if (cur.r == TR && cur.c == TC) return; for (int i = 0; i < 4; i++) { Node2 t = Node2{cur.r + dr[i], cur.c + dc[i], cur.r, cur.c}; if (t.r >= 0 && t.r < N && t.c >= 0 && t.c < M && cost[t.r][t.c] + 1 == cost[cur.r][cur.c]) s.insert(t); } } } string getPath() { Node cur{TR, TC}; string ret = ""; while (cur.r != -1) { ret += grid[cur.r][cur.c]; cur = parent[cur.r][cur.c]; } ret = ret.substr(1, (int)ret.size() - 2); reverse(ret.begin(), ret.end()); return ret; } void choose(int k, char from) { if (k == K) { bfs(); dijkstra(); string best = getPath(); if (SP < mini || (SP == mini && best < ans)) mini = SP, ans = best; return; } for (char i = from; i <= 'z'; i++) { available[(int)i] = true; choose(k + 1, i + 1); available[(int)i] = false; } } int main() { for (int i = 0; i < N; i++) for (int j = 0; j < M; j++) parent[i][j] = Node{-1, -1}; scanf("%d %d %d", &N, &M, &K); for (int i = 0; i < N; i++) scanf("%s", grid[i]); getCoordinates(SR, SC, 'S', 'a' - 1); getCoordinates(TR, TC, 'T', 'z' + 1); available['a' - 1] = available['z' + 1] = true; mini = 1 << 30; choose(0, 'a'); if (mini == 1 << 30) printf("-1\n"); else printf("%s\n", ans.c_str()); }
#include <bits/stdc++.h> using namespace std; const int maxN = 55; const int dx[] = {-1, 1, 0, 0}; const int dy[] = {0, 0, -1, 1}; int a[27], n, m; char s[maxN][maxN]; int d[maxN][maxN]; queue<pair<int, int> > q; void f(int x, int y) { memset(d, 0xff, sizeof(d)); d[x][y] = 0; assert(q.empty()); q.push(make_pair(x, y)); while (!q.empty()) { pair<int, int> t = q.front(); q.pop(); for (int i = 0; i < (4); ++i) { x = t.first + dx[i], y = t.second + dy[i]; if ((0 <= (x) && (x) < (n)) && (0 <= (y) && (y) < (m)) && (s[x][y] == 'S' || (s[x][y] != 'T' && a[s[x][y] - 'a'])) && d[x][y] < 0) { d[x][y] = d[t.first][t.second] + 1; q.push(make_pair(x, y)); } } } } vector<pair<int, int> > cur, nx; string RES; void reconstruct(int x, int y) { char ch; vector<pair<int, int> >().swap(nx); vector<pair<int, int> >().swap(cur); cur.push_back(make_pair(x, y)); RES = ""; while (1) { int dist = d[cur[0].first][cur[0].second]; for (__typeof((cur).begin()) i = ((cur).begin()); i != (cur).end(); ++i) assert(dist == d[i->first][i->second]); if (dist == 1) return; assert(nx.empty() && (int)(cur).size() < maxN * maxN); ch = 'z' + 1; for (__typeof((cur).begin()) i = ((cur).begin()); i != (cur).end(); ++i) for (int j = 0; j < (4); ++j) { x = i->first + dx[j], y = i->second + dy[j]; if ((0 <= (x) && (x) < (n)) && (0 <= (y) && (y) < (m)) && d[x][y] + 1 == dist) { if (ch == s[x][y]) nx.push_back(make_pair(x, y)); else if (s[x][y] < ch) nx.clear(), nx.push_back(make_pair(x, y)), ch = s[x][y]; } } sort((nx).begin(), (nx).end()); nx.resize(unique((nx).begin(), (nx).end()) - nx.begin()); cur = nx; nx.clear(); assert(d[cur[0].first][cur[0].second] == dist - 1); RES += ch; } } int main() { int k, si = -1, sj = -1, ti = -1, tj = -1; scanf("%d", &n); scanf("%d", &m); scanf("%d", &k); for (int i = 0; i < (n); ++i) scanf("%s", s[i]); for (int i = 0; i < (n); ++i) for (int j = 0; j < (m); ++j) if (s[i][j] == 'S') si = i, sj = j; else if (s[i][j] == 'T') ti = i, tj = j; for (int i = 0; i < (k); ++i) a[25 - i] = 1; int it[4] = {26, 26, 26, 26}; for (int i = 0; i < (4); ++i) { int x = ti + dx[i], y = tj + dy[i]; if ((0 <= (x) && (x) < (n)) && (0 <= (y) && (y) < (m))) { if (s[x][y] == 'S') return 0; it[i] = s[x][y] - 'a'; } } pair<int, string> res = make_pair(INT_MAX, string(10, 'z' + 1)); do { int any = 0; for (int i = 0; i < (4); ++i) if (a[it[i]]) any = 1, i = 4; if (!any) continue; f(ti, tj); if (d[si][sj] != -1 && d[si][sj] <= res.first) { reconstruct(si, sj); if (d[si][sj] < res.first || (d[si][sj] == res.first && RES < res.second)) { res.first = d[si][sj]; res.second = RES; } } } while (next_permutation(a, a + 26)); if (res.first == INT_MAX) printf("-1\n"); else printf("%s\n", res.second.c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 51; const int go[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; char q[maxn]; int a[maxn][maxn]; int b[maxn][maxn]; int now[4]; int k; int str[(int)1e6][4]; int number; void genmasks(int iter) { if (iter == k) { for (int i = 0; i < k; i++) str[number][i] = now[i]; number++; return; } int start = 0; if (iter) start = now[iter - 1] + 1; for (int i = start; i < 26; i++) { now[iter] = i; genmasks(iter + 1); } } char strnow[maxn * maxn + 1], strans[maxn * maxn + 1]; pair<int, int> st[maxn * maxn * 10]; pair<int, int> pr[maxn][maxn]; int cl[maxn][maxn]; int dist[maxn][maxn]; vector<int> cnt(4, 0); vector<int> heads(4, 0); int main() { int w, h; while (scanf("%d%d%d", &h, &w, &k) >= 2) { pair<int, int> start, finish; for (int i = 0; i < h; i++) { scanf("%s", q); for (int j = 0; j < w; j++) { a[i][j] = (q[j] - 'a'); if (q[j] == 'S') { a[i][j] = -2; start = make_pair(i, j); } if (q[j] == 'T') { a[i][j] = -2; finish = make_pair(i, j); } } } number = 0; genmasks(0); int distans = ((int)1E9) - 2; for (int mask = 0; mask < number; mask++) { for (int i = 0; i < h; i++) { for (int j = 0; j < w; j++) { dist[i][j] = ((int)1E9); pr[i][j] = make_pair(-1, -1); cl[i][j] = 0; b[i][j] = -1; for (int y = 0; y < k; y++) if (str[mask][y] == a[i][j]) { b[i][j] = y; break; } if (a[i][j] == -2) b[i][j] = k; } } int cool = 0; st[0] = start; dist[start.first][start.second] = 0; for (int l = 0, r = 1; l < r;) { int l0 = l, r0 = r; int cool0 = cl[st[l].first][st[l].second], dist0 = dist[st[l0].first][st[l0].second]; while (l < r) { int y = st[l].first, x = st[l].second; if (dist[y][x] > dist0) { cool = 0; break; } if (cl[y][x] != cool0) { cool += 4; break; } for (int g = 0; g < 4; g++) { int yn = y + go[g][0], xn = x + go[g][1]; if (yn < 0 || xn < 0 || yn >= h || xn >= w) continue; if (b[yn][xn] == -1) continue; if (dist[yn][xn] <= dist[y][x]) continue; if ((dist[yn][xn] == dist[y][x] + 1) && (cl[yn][xn] <= cool + b[yn][xn])) continue; dist[yn][xn] = dist[y][x] + 1; cl[yn][xn] = cool + b[yn][xn]; pr[yn][xn] = make_pair(y, x); if (b[yn][xn] != k) st[r++] = make_pair(yn, xn); } l++; } for (int i = 0; i < k; i++) cnt[i] = 0, heads[i] = 0; for (int i = r0; i < r; i++) { cnt[cl[st[i].first][st[i].second] & 3]++; } heads[0] = r0; for (int i = 1; i < k; i++) heads[i] = heads[i - 1] + cnt[i - 1]; for (int iter = 0; iter < k; iter++) { for (int i = heads[iter]; i < r; i++) { int m = cl[st[i].first][st[i].second] & 3; if (m == iter) { swap(st[heads[iter]], st[i]); heads[iter]++; } } } } if (dist[finish.first][finish.second] - 1 > distans) continue; int lenn = 0; int distn = dist[finish.first][finish.second]; for (pair<int, int> now = pr[finish.first][finish.second]; now != start; now = pr[now.first][now.second]) { assert(distn - 1 == dist[now.first][now.second]); distn--; strnow[lenn++] = a[now.first][now.second] + 'a'; } assert(lenn == dist[finish.first][finish.second] - 1); reverse(strnow, strnow + lenn); strnow[lenn] = 0; if ((lenn < distans) || (strcmp(strnow, strans) < 0)) { distans = lenn; for (int i = 0; i <= lenn; i++) strans[i] = strnow[i]; } } if (distans == ((int)1E9) - 2) printf("-1\n"); else printf("%s\n", strans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> void cmax(T& a, T b) { a = max(a, b); } template <typename T> void cmin(T& a, T b) { a = min(a, b); } void _BG(const char* s) {} template <typename T, typename... TT> void _BG(const char* s, T a, TT... b) { for (int c = 0; *s && (c || *s != ','); ++s) { cerr << *s; switch (*s) { case '(': case '[': case '{': ++c; break; case ')': case ']': case '}': --c; break; } } cerr << " = " << a; if (*s) { cerr << ", "; _BG(++s, b...); } else cerr << endl; } bool RD(void) { return true; } bool RD(char& a) { return scanf(" %c", &a) == 1; } bool RD(char* a) { return scanf("%s", a) == 1; } bool RD(double& a) { return scanf("%lf", &a) == 1; } bool RD(int& a) { return scanf("%d", &a) == 1; } bool RD(long long& a) { return scanf("%lld", &a) == 1; } template <typename T, typename... TT> bool RD(T& a, TT&... b) { return RD(a) && RD(b...); } void PT(const char a) { putchar(a); } void PT(const char* a) { fputs(a, stdout); } void PT(char* a) { fputs(a, stdout); } void PT(const double a) { printf("%.16f", a); } void PT(const int a) { printf("%d", a); } void PT(const long long a) { printf("%lld", a); } template <char sep = ' ', char end = '\n'> void PL(void) { if (end) PT(end); } template <char sep = ' ', char end = '\n', typename T, typename... TT> void PL(const T a, const TT... b) { PT(a); if (sizeof...(b) && sep) PT(sep); PL<sep, end>(b...); } const int N = 55, inf = 5566, dr[] = {-1, 0, 0, 1}, dc[] = {0, -1, 1, 0}; int n, m, k; vector<char> c; char v[4]; bool w[26]; char g[N][N]; int d[N][N]; int vis[N][N], vc; pair<int, int> s, t; int al = inf - 1; bool fl; string ans; bool ok(pair<int, int> x) { if (!(0 <= x.first && x.first < n && 0 <= x.second && x.second < m)) return 0; char ch = g[x.first][x.second]; for (int i(0), _B(k); i < _B; ++i) if (ch == v[i]) return 1; return ch == 'S' || ch == 'T'; } void bfs() { for (int i(0), _B(n); i < _B; ++i) fill_n(d[i], m, inf); queue<pair<int, int> > q; q.push(t); d[t.first][t.second] = 0; while (((int)q.size())) { pair<int, int> x = q.front(); q.pop(); for (int i(0), _B(4); i < _B; ++i) { pair<int, int> y(x.first + dr[i], x.second + dc[i]); if (ok(y) && d[y.first][y.second] == inf) { d[y.first][y.second] = d[x.first][x.second] + 1; q.push(y); } } } if (d[s.first][s.second] > al) return; al = d[s.first][s.second]; string ca; vector<pair<int, int> > li[2]; li[al & 1 ^ 1] = {s}; for (int i((al)-1), _B(1); i >= _B; --i) { ++vc; ca += v[k - 1]; for (auto x : li[i & 1]) { for (int j(0), _B(4); j < _B; ++j) { pair<int, int> y(x.first + dr[j], x.second + dc[j]); if (ok(y) && d[y.first][y.second] == i && vis[y.first][y.second] < vc) { vis[y.first][y.second] = vc; char ch = g[y.first][y.second]; if (ch < ca.back()) { ca.back() = ch; li[i & 1 ^ 1].clear(); } if (ch == ca.back()) li[i & 1 ^ 1].push_back(y); } } } li[i & 1].clear(); } if (!fl || ((int)ans.size()) > ((int)ca.size()) || ans > ca) { ans = ca; fl = 1; } } void dfs(int i, int j) { if (i == k) { for (int u(0), _B(k); u < _B; ++u) bfs(); return; } for (; ((int)c.size()) - j >= k - i; j++) { v[i] = c[j]; dfs(i + 1, j + 1); } } int main() { RD(n, m, k); for (int i(0), _B(n); i < _B; ++i) { RD(g[i]); for (int j(0), _B(m); j < _B; ++j) if (g[i][j] == 'S') s = {i, j}; else if (g[i][j] == 'T') t = {i, j}; else w[g[i][j] - 'a'] = 1; } for (int i(0), _B(26); i < _B; ++i) if (w[i]) c.push_back(i + 'a'); if (((int)c.size()) <= k) { k = ((int)c.size()); for (int i(0), _B(k); i < _B; ++i) v[i] = c[i]; bfs(); } else { dfs(0, 0); } if (!fl) cout << "-1\n"; else cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; int bcount[1 << 12]; set<pair<int, int> > Set; string Map[60]; int n, m, k; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; int ex, ey; int dist(int ax, int ay, int bx, int by) { return abs(ax - bx) + abs(ay - by); } struct Node { int x, y; string S; int mask; bool operator<(const Node &b) const { if (S.size() + dist(x, y, ex, ey) == b.S.size() + dist(b.x, b.y, ex, ey)) return S.compare(b.S) > 0; else return S.size() + dist(x, y, ex, ey) > b.S.size() + dist(b.x, b.y, ex, ey); } }; int getbcount(int m) { int ret = 0; while (m > 0) { ret += bcount[m & ((1 << 10) - 1)]; m >>= 10; } return ret; } int main() { for (int i = 0; i <= (1 << 10); i++) bcount[i] = bcount[i / 2] + (i & 1 ? 1 : 0); cin >> n >> m >> k; for (int i = 0; i < n; i++) cin >> Map[i]; int x, y; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (Map[i][j] == 'S') x = i, y = j; if (Map[i][j] == 'T') ex = i, ey = j; } priority_queue<Node> q; q.push((Node){x, y, "", 0}); bool found = false; while (!q.empty()) { Node cur = q.top(); q.pop(); if (cur.x == ex && cur.y == ey) { cout << cur.S << endl; found = true; break; } if (Set.find(make_pair(cur.x * m + cur.y, cur.mask)) != Set.end()) continue; Set.insert(make_pair(cur.x * m + cur.y, cur.mask)); for (int d = 0; d < 4; d++) { Node nxt = cur; nxt.x += dx[d]; nxt.y += dy[d]; if (!(nxt.x >= 0 && nxt.x <= n - 1 && nxt.y >= 0 && nxt.y <= m - 1)) continue; if (Map[nxt.x][nxt.y] != 'T') { nxt.mask |= (1 << (Map[nxt.x][nxt.y] - 'a')); nxt.S += Map[nxt.x][nxt.y]; } if (getbcount(nxt.mask) <= k) q.push(nxt); } } if (!found) printf("-1\n"); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 54; const int MAXD = 5000; const int dx[4] = {0, -1, 0, 1}; const int dy[4] = {-1, 0, 1, 0}; static int d0; bool valid[256]; int r, c; char buf[MAXN][MAXN]; int d[MAXN][MAXN], p[MAXN][MAXN]; string gao(int sx, int sy) { queue<pair<int, int> > q; vector<vector<pair<int, int> > > v; static int x, y, xx, yy, z; d[sx][sy] = d0; q.push(make_pair(sx, sy)); while (!q.empty()) { x = q.front().first; y = q.front().second; z = d[x][y] + 1; v.resize(z - d0 + 1); v[z - d0].push_back(make_pair(x, y)); q.pop(); if (buf[x][y] == 'S') { break; } for (int i = 0; i < 4; ++i) { xx = x + dx[i]; yy = y + dy[i]; if (valid[(int)buf[xx][yy]] && d[xx][yy] > z) { d[xx][yy] = z; q.push(make_pair(xx, yy)); } } } if (buf[x][y] != 'S') { return "~"; } else { for (int i = 0; i < (int)v.size(); ++i) { vector<pair<pair<char, int>, pair<int, int> > > w; for (int j = 0; j < (int)v[i].size(); ++j) { x = v[i][j].first; y = v[i][j].second; w.push_back(make_pair(make_pair(buf[x][y], MAXD), make_pair(x, y))); for (int k = 0; k < 4; ++k) { xx = x + dx[k]; yy = y + dy[k]; if (d[xx][yy] == d[x][y] - 1) { w.back().first.second = min(w.back().first.second, p[xx][yy]); } } } sort(w.begin(), w.end()); for (int j = 0; j < (int)w.size(); ++j) { p[w[j].second.first][w[j].second.second] = j; } } string ret; while (true) { sx = -1; sy = -1; for (int i = 0; i < 4; ++i) { xx = x + dx[i]; yy = y + dy[i]; if (d[xx][yy] == d[x][y] - 1 && (sx == -1 || p[xx][yy] < p[sx][sy])) { sx = xx; sy = yy; } } if (buf[sx][sy] == 'T') { break; } else { ret += buf[sx][sy]; } x = sx; y = sy; } return ret; } } int main() { int n, sx = -1, sy = -1, tx = -1, ty = -1; bool select[MAXN]; string ans, tmp; scanf("%d%d%d", &r, &c, &n); memset(buf, '~', sizeof(buf)); for (int i = 1; i <= r; ++i) { scanf("%s", buf[i] + 1); for (int j = 1; j <= c; ++j) { if (buf[i][j] == 'S') { sx = i; sy = j; } else if (buf[i][j] == 'T') { tx = i; ty = j; } } buf[i][c + 1] = '~'; } fill(select, select + 26, false); fill(select, select + n, true); sort(select, select + 26); valid['S'] = valid['T'] = true; ans = "~"; d0 = 0; do { d0 -= MAXD; for (int i = 0; i < 26; ++i) { valid['a' + i] = select[i]; } tmp = gao(tx, ty); if (tmp != "~" && (ans == "~" || tmp.length() < ans.length() || (tmp.length() == ans.length() && tmp < ans))) { ans = tmp; } } while (next_permutation(select, select + 26)); if (ans == "~") { puts("-1"); } else { puts(ans.c_str()); } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = (1 << 30) - 1; const long double eps = 1e-9; const long double pi = fabs(atan2(0.0, -1.0)); int n, m, k; char a[55][55]; inline void Load() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) scanf("%s", a[i]); } const int di[4] = {1, 0, 0, -1}; const int dj[4] = {0, 1, -1, 0}; inline bool good(int i, int j) { return 0 <= i && i < n && 0 <= j && j < m; } inline bool cmp(const pair<int, int> &x, const pair<int, int> &y) { return a[x.first][x.second] < a[y.first][y.second]; } int cnt = 0; bool can[25000][27]; bool cur[27]; void gen(int i, int j) { if (j < 0) return; if (i == 26) { if (j == 0) { for (int k = 0; k < 26; k++) can[cnt][k] = cur[k]; cnt++; } return; } cur[i] = false; gen(i + 1, j); cur[i] = true; gen(i + 1, j - 1); cur[i] = false; } int d[55][55]; int was[55][55]; pair<int, int> q[500000]; inline void Solve() { int si, sj; int first, fj; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (a[i][j] == 'S') si = i, sj = j; if (a[i][j] == 'T') first = i, fj = j; } gen(0, k); int mdst = 0x7F7F7F7F; string ans = ""; for (int id = 0; id < cnt; id++) { int qh = 0, qt = 0; memset(d, 0x7F, sizeof(d)); q[qt++] = make_pair(first, fj); d[first][fj] = 0; while (qh < qt) { int i = q[qh].first; int j = q[qh].second; qh++; for (int l = 0; l < 4; l++) { int ni = i + di[l]; int nj = j + dj[l]; if (!good(ni, nj)) continue; if ('a' <= a[ni][nj] && a[ni][nj] <= 'z' && !can[id][a[ni][nj] - 'a']) continue; if (d[ni][nj] > d[i][j] + 1) { d[ni][nj] = d[i][j] + 1; q[qt++] = make_pair(ni, nj); } } } if (d[si][sj] > mdst || d[si][sj] == 0x7F7F7F7F) continue; string cans = ""; vector<pair<int, int> > vert; vector<pair<int, int> > nvert; vert.push_back(make_pair(si, sj)); memset(was, 0, sizeof(was)); for (int lane = d[si][sj] - 1; lane >= 0; lane--) { char c = 'z' + 1; for (int l = 0; l < (int)vert.size(); l++) { int i = vert[l].first; int j = vert[l].second; for (int t = 0; t < 4; t++) { int ni = i + di[t]; int nj = j + dj[t]; if (!good(ni, nj) || d[ni][nj] != lane) continue; c = min(c, a[ni][nj]); } } if ('a' <= c && c <= 'z') cans += c; nvert.resize(0); for (int l = 0; l < (int)vert.size(); l++) { int i = vert[l].first; int j = vert[l].second; for (int t = 0; t < 4; t++) { int ni = i + di[t]; int nj = j + dj[t]; if (!good(ni, nj) || d[ni][nj] != lane) continue; if (a[ni][nj] == c && was[ni][nj] != lane) { was[ni][nj] = lane; nvert.push_back(make_pair(ni, nj)); } } } vert.resize(0); for (int l = 0; l < (int)nvert.size(); l++) vert.push_back(nvert[l]); } if (d[si][sj] < mdst || (d[si][sj] == mdst && cans < ans)) { mdst = d[si][sj]; ans = cans; } } if (mdst == 0x7F7F7F7F) printf("-1"); else printf("%s", ans.c_str()); } int main() { Load(); Solve(); return 0; }
#include <bits/stdc++.h> using namespace std; string res; int c[26], w[26]; bool vis[26]; int f[60][60]; char g[60][60]; int n, m, k, s1, s2, tot, step; int way[4][2] = {{0, -1}, {0, 1}, {1, 0}, {-1, 0}}; struct In { int l; int r; string ss; } s[3000]; void bfs() { memset(f, -1, sizeof(f)); int i, j, first = 0, last = 1, len = 1, move = 1, ll; s[0].l = s1; s[0].r = s2; s[0].ss = ""; f[s1][s2] = 0; string a; bool z = false; while (first < last) { for (i = first; i < last; i++) { for (j = 0; j < 4; j++) { int p, q; p = s[i].l + way[j][0]; q = s[i].r + way[j][1]; if (p >= 0 && p < n && q >= 0 && q < m) { if (f[p][q] != -1 && f[p][q] < move) continue; a = s[i].ss; if (g[p][q] == 'T') { if (res == "") { res = a; step = move; } else { int x1 = a.length(), x2 = res.length(); if (x1 < x2 || (x1 == x2 && a < res)) { res = a; if (move < step) step = move; } } z = true; } else if (!z) { bool zz = false; for (ll = 0; ll < tot && ll < k; ll++) { if (w[ll] == g[p][q] - 'a') { zz = true; break; } } if (zz) { a += g[p][q]; for (ll = last; ll < len; ll++) if (s[ll].l == p && s[ll].r == q) { if (s[ll].ss > a) s[ll].ss = a; break; } if (ll == len) { s[len].l = p; s[len].r = q; s[len].ss = a; len++; f[p][q] = move; } } } } } } if (z) break; first = last; last = len; move++; if (move > step) break; } } void dfs(int x, int y) { if (x == tot) return; w[y] = c[x]; if (y == k - 1) { bfs(); } else dfs(x + 1, y + 1); dfs(x + 1, y); } int main() { while (cin >> n >> m >> k) { int i, j; tot = 0; memset(vis, 0, sizeof(vis)); for (i = 0; i < n; i++) { cin >> g[i]; for (j = 0; j < m; j++) { if (g[i][j] == 'S') { s1 = i; s2 = j; } else if (g[i][j] >= 'a' && g[i][j] <= 'z') { if (!vis[g[i][j] - 'a']) { c[tot++] = g[i][j] - 'a'; vis[g[i][j] - 'a'] = 1; } } } } step = 3000; if (tot <= k) { for (i = 0; i < tot; i++) w[i] = c[i]; bfs(); } else dfs(0, 0); if (step == 3000) cout << -1 << endl; else cout << res << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<set<int> > > setgrid; vector<string> grid; int k; int ro[4] = {1, -1, 0, 0}; int co[4] = {0, 0, -1, 1}; struct s { s() : r(-1), c(-1), set(-1), path(""), let('A'), d(0) {} s(int nr, int nc, unsigned int nset, string npath, char nlet, int nd) : r(nr), c(nc), set(nset), path(npath), let(nlet), d(nd) {} int r, c, d; unsigned int set; string path; char let; }; bool operator<(const s &lhs, const s &rhs) { if (lhs.d == rhs.d) if (lhs.path == rhs.path) return lhs.let >= rhs.let; else return lhs.path >= rhs.path; else return lhs.d >= rhs.d; } bool visited(int r, int c, unsigned int set) { unsigned int subset = set; do { subset = (subset - 1) & set; if (setgrid[r][c].find(subset) != setgrid[r][c].end()) { return true; } } while (subset != set); return false; } int main(void) { s qf; int rs, cs, nr, nc; unsigned int nset, one = 0x00000001; priority_queue<s> q; vector<s> pv, tv; cin >> rs >> cs >> k; grid.resize(rs); for (int i = 0; i < rs; i++) cin >> grid[i]; setgrid.resize(rs); for (int i = 0; i < rs; i++) setgrid[i].resize(cs); int sr, sc; for (int i = 0; i < rs; i++) for (int j = 0; j < cs; j++) if (grid[i][j] == 'S') { sr = i; sc = j; break; } q.push(s(sr, sc, 0, "", 'a', 0)); setgrid[sr][sc].insert(0); while (!q.empty()) { pv.clear(); qf = q.top(); for (int i = 0; i < 4; i++) { nr = qf.r + ro[i]; nc = qf.c + co[i]; if (nr < 0 || nr >= rs || nc < 0 || nc >= cs) continue; if (grid[nr][nc] == 'T') goto success; nset = qf.set | (one << int(grid[nr][nc] - 'a')); if ((__builtin_popcount(nset) > k) || visited(nr, nc, nset)) continue; pv.push_back( s(nr, nc, nset, qf.path + grid[nr][nc], grid[nr][nc], qf.d + 1)); setgrid[nr][nc].insert(nset); } sort(pv.begin(), pv.end()); for (int i = 0; i < pv.size(); i++) q.push(pv[i]); q.pop(); } cout << -1 << '\n'; return 0; success: if (qf.path != "") cout << qf.path << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int g[60][60]; char ss[110]; int sx, sy; int gx, gy; int res[60]; int lim; bool can[300]; bool have; int cc; int vis[60][60]; int n, m; int dir[4][2] = {-1, 0, 1, 0, 0, -1, 0, 1}; int dis[60][60]; string pre[60][60]; struct point { int x, y; }; char chs[10]; bool cmp(const int &cmp1, const int &cmp2) { return chs[cmp1] < chs[cmp2]; } int minv; int bfs() { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { vis[i][j] = 0; } } point p0 = {sx, sy}; queue<point> q; q.push(p0); vis[sx][sy] = 1; dis[sx][sy] = 0; pre[sx][sy][0] = -1; while (!q.empty()) { point p = q.front(); q.pop(); if (minv < dis[p.x][p.y]) return -1; if (p.x == gx && p.y == gy) { return dis[gx][gy]; } for (int d = 0; d < 4; d++) { point np = {p.x + dir[d][0], p.y + dir[d][1]}; if (g[np.x][np.y] != -1 && (can[g[np.x][np.y]] || g[np.x][np.y] == 'T')) { if (vis[np.x][np.y]) { if (dis[np.x][np.y] == dis[p.x][p.y] + 1) { if (pre[np.x][np.y] > pre[p.x][p.y] + (char)g[np.x][np.y]) { pre[np.x][np.y] = pre[p.x][p.y] + (char)g[np.x][np.y]; } } } else { vis[np.x][np.y] = 1; dis[np.x][np.y] = dis[p.x][p.y] + 1; pre[np.x][np.y] = pre[p.x][p.y] + (char)g[np.x][np.y]; q.push(np); } } } } return -1; } char ans[5100]; char tmp2[5100]; int ansxx; void dfs(int cur) { if (cur == lim) { have = true; int ret = bfs(); if (ret != -1) { if (minv > ret) { minv = ret; strcpy(ans, pre[gx][gy].c_str()); } else if (minv == ret) { if (strcmp(ans, pre[gx][gy].c_str()) > 0) { strcpy(ans, pre[gx][gy].c_str()); } } } } else { int base = (cur == 0) ? 0 : (res[cur - 1] + 1); for (int i = base; i < cc; i++) { res[cur] = i; can[ss[i]] = true; dfs(cur + 1); can[ss[i]] = false; } } } int main() { char str[110]; int tvis[300]; scanf("%d%d%d", &n, &m, &lim); cc = 0; memset(tvis, 0, sizeof(tvis)); for (int i = 1; i <= n; i++) { scanf("%s", str); for (int j = 1; j <= m; j++) { g[i][j] = str[j - 1]; if (g[i][j] == 'S') { sx = i; sy = j; } else if (g[i][j] == 'T') { gx = i; gy = j; } else { if (!tvis[g[i][j]]) { tvis[g[i][j]] = 1; ss[cc++] = g[i][j]; } } } } for (int i = 0; i <= n + 1; i++) { g[i][0] = g[i][m + 1] = -1; } for (int i = 0; i <= m + 1; i++) { g[0][i] = g[n + 1][i] = -1; } sort(ss, ss + cc); memset(can, 0, sizeof(can)); have = false; minv = 1 << 30; dfs(0); if (!have) { for (int i = 0; i < cc; i++) { can[ss[i]] = true; } int ret = bfs(); if (ret != -1) { if (minv > ret) { minv = ret; strcpy(ans, pre[gx][gy].c_str()); } else if (minv == ret) { if (strcmp(ans, pre[gx][gy].c_str()) > 0) { strcpy(ans, pre[gx][gy].c_str()); } } } } if (minv == 1 << 30) { printf("%d\n", -1); } else { ans[minv - 1] = '\0'; printf("%s\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 55; int dist[N][N]; char allowed[4]; int n, m, maxAllowed; int startx, starty, finx, finy; string inf(N *N + 5, 'z' + 12); string was[N][N]; string ans = inf; string field[55]; int ansDist = N * N * N; int dx[4] = {1, 0, -1, 0}; int dy[4] = {0, 1, 0, -1}; inline bool isValidPoint(int x, int y) { return x >= 0 and x <= n - 1 and y >= 0 and y <= m - 1; } inline void upd(string &a, const string &b) { if (a.size() > b.size()) a = b; else if (a.size() == b.size() and a > b) a = b; } void dfs(int x, int y) { if (was[x][y].size()) return; if (x == finx and y == finy) { was[x][y] = ""; return; } string &ret = was[x][y]; ret = inf; for (int i = 0; i < 4; i++) { int nx = x + dx[i]; int ny = y + dy[i]; if (not isValidPoint(nx, ny)) continue; bool isValid = false; for (int j = 0; j < maxAllowed; j++) if (allowed[j] == field[nx][ny]) isValid = true; if (nx == finx and ny == finy) isValid = true; if (not isValid) continue; if (dist[nx][ny] + 1 != dist[x][y]) continue; dfs(nx, ny); upd(ret, was[nx][ny]); } ret = field[x][y] + ret; } string recover() { string ret = ""; set<pair<int, int> > cur; cur.insert(make_pair(startx, starty)); if (dist[startx][starty] == 0) return inf; while (not cur.empty()) { set<pair<int, int> > next; char minLetter = 'z' + 1; for (auto &t : cur) { for (int i = 0; i < 4; i++) { int nx = t.first + dx[i]; int ny = t.second + dy[i]; if (not isValidPoint(nx, ny)) continue; if (dist[nx][ny] + 1 != dist[t.first][t.second]) continue; if (nx == finx and ny == finy) minLetter = 'a' - 23; else { minLetter = min(minLetter, field[nx][ny]); } } } if (minLetter >= 'a') ret += minLetter; for (auto &t : cur) { for (int i = 0; i < 4; i++) { int nx = t.first + dx[i]; int ny = t.second + dy[i]; if (not isValidPoint(nx, ny)) continue; if (dist[nx][ny] + 1 != dist[t.first][t.second]) continue; if (field[nx][ny] == minLetter) next.insert(make_pair(nx, ny)); } } cur = next; } return ret; } void solve() { memset(dist, 0, sizeof(dist)); queue<pair<int, int> > q; q.push(make_pair(finx, finy)); while (not q.empty()) { pair<int, int> cur = q.front(); q.pop(); int cx = cur.first, cy = cur.second; for (int i = 0; i < 4; i++) { int nx = cx + dx[i]; int ny = cy + dy[i]; if (nx == finx and ny == finy) continue; if (not isValidPoint(nx, ny)) continue; if (dist[nx][ny] > 0) continue; bool isValid = false; if (nx != startx or ny != starty) { for (int j = 0; j < maxAllowed; j++) if (allowed[j] == field[nx][ny]) isValid = true; } else isValid = true; if (not isValid) continue; dist[nx][ny] = dist[cx][cy] + 1; q.push(make_pair(nx, ny)); } } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) was[i][j] = ""; if (dist[startx][starty] == 0 or dist[startx][starty] > ansDist) return; ansDist = dist[startx][starty]; upd(ans, recover()); } void rec(int cur) { if (cur == maxAllowed) { bool isValid = false; for (int i = 0; i < 4; i++) { int nx = startx + dx[i]; int ny = starty + dy[i]; if (nx == finx and ny == finy) isValid = true; if (not isValidPoint(nx, ny)) continue; bool isPresent = false; for (int j = 0; j < maxAllowed; j++) { if (field[nx][ny] == allowed[j]) isPresent = true; } if (isPresent) isValid = true; } if (isValid) solve(); } else { for (int i = (cur == 0 ? 0 : allowed[cur - 1] - 'a' + 1); i < 26; i++) { bool isValid = true; for (int j = 0; j < cur; j++) if (allowed[j] == i + 'a') isValid = false; if (isValid) { allowed[cur] = i + 'a'; rec(cur + 1); } } } } int main() { cin >> n >> m >> maxAllowed; for (int i = 0; i < n; i++) { cin >> field[i]; for (int j = 0; j < m; j++) if (field[i][j] == 'S') { startx = i; starty = j; } else if (field[i][j] == 'T') { finx = i; finy = j; } } rec(0); if (ans.size() and ans[0] == 'S') ans = ans.substr(1); if (ans == inf) cout << -1; else cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 60; const int A = 26; const int INF = 1000000001; char G[MAX + 2][MAX + 3]; int D[MAX + 2][MAX + 2]; bool ok[A + 1]; pair<int, int> S, T; vector<char> ans; vector<int> K; int n, m, k; inline int con(char c) { return 'a' <= c && c <= 'z' ? c - 'a' : A; } vector<pair<int, int> > Q; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, 1, -1}; bool vis[A + 1][A + 1][A + 1][A + 1]; void bfs() { sort((K).begin(), (K).end()); K.erase(unique((K).begin(), (K).end()), K.end()); if (K.back() == A) K.pop_back(); if (K.size() > k || K.empty()) return; if (vis[K[0]][K.size() > 1 ? K[1] : A][K.size() > 2 ? K[2] : A] [K.size() > 3 ? K[3] : A]) return; vis[K[0]][K.size() > 1 ? K[1] : A][K.size() > 2 ? K[2] : A] [K.size() > 3 ? K[3] : A] = true; for (int i = 0; i < K.size(); ++i) ok[K[i]] = true; for (int i = 0; i <= n + 1; ++i) memset(D[i], -1, sizeof(int) * (m + 2)); Q.clear(); Q.push_back(T); D[T.first][T.second] = 0; for (int foo = 0; foo < Q.size(); ++foo) { pair<int, int> v = Q[foo]; if (v == S) break; for (int foo = 0; foo < 4; ++foo) { int i = v.first + dx[foo]; int j = v.second + dy[foo]; if (ok[con(G[i][j])] && D[i][j] == -1) { D[i][j] = D[v.first][v.second] + 1; Q.push_back(make_pair(i, j)); } } } for (int i = 0; i < K.size(); ++i) ok[K[i]] = false; int d = INF; for (int foo = 0; foo < 4; ++foo) { int i = S.first + dx[foo]; int j = S.second + dy[foo]; if (D[i][j] != -1) d = min(d, D[i][j]); } if (d > ans.size()) return; int com = 0; int index = 0; vector<char> tmp; tmp.reserve(d); vector<pair<int, int> > V[2]; bool now = false; V[0].push_back(S); while (d) { int best = 200; for (int i = 0; i < K.size(); ++i) for (__typeof((V[now]).begin()) u = (V[now]).begin(); u != (V[now]).end(); ++u) for (int foo = 0; foo < 4; ++foo) { int x = u->first + dx[foo]; int y = u->second + dy[foo]; if (G[x][y] == K[i] + 'a' && D[x][y] == d) { best = K[i]; goto out; } } out: tmp.push_back(best + 'a'); if (!com) { if (tmp.back() < ans[index]) com = -1; else if (tmp.back() > ans[index]) com = 1; } ++index; V[!now].clear(); for (__typeof((V[now]).begin()) u = (V[now]).begin(); u != (V[now]).end(); ++u) for (int foo = 0; foo < 4; ++foo) { int x = u->first + dx[foo]; int y = u->second + dy[foo]; if (G[x][y] == best + 'a' && D[x][y] == d) { V[!now].push_back(make_pair(x, y)); D[x][y] = -1; } } --d; now = !now; } if (tmp.size() < ans.size() || com == -1) ans = tmp; } void solve(int x, int i) { if (x >= k) { vector<int> tmpK = K; bfs(); K = tmpK; return; } if (i == A) return; solve(x, i + 1); for (; i < A; ++i) { K.push_back(i); solve(x + 1, i + 1); K.pop_back(); } } int main(int argc, char *argv[]) { scanf("%d %d %d", &n, &m, &k); ans.resize(n * m + 10); for (int i = 0; i <= n + 1; ++i) memset(G[i], '$', m + 2); for (int i = 1; i <= n; ++i) scanf("%s", G[i] + 1); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) if (G[i][j] == 'S') S = make_pair(i, j); else if (G[i][j] == 'T') T = make_pair(i, j); if (abs(S.first - T.first) + abs(S.second - T.second) == 1) return 0; for (int xs = S.first - 1; xs <= S.first + 1; ++xs) for (int ys = S.second - 1; ys <= S.second + 1; ++ys) if (abs(xs - S.first) + abs(ys - S.second) == 1) for (int xt = T.first - 1; xt <= T.first + 1; ++xt) for (int yt = T.second - 1; yt <= T.second + 1; ++yt) if (abs(xt - T.first) + abs(yt - T.second) == 1) { K.clear(); K.push_back(con(G[xs][ys])); K.push_back(con(G[xt][yt])); if (K[0] == K[1]) K.pop_back(); solve(K.size(), 0); } if (ans.size() == n * m + 10) { printf("-1\n"); return 0; } for (__typeof((ans).begin()) i = (ans).begin(); i != (ans).end(); ++i) printf("%c", *i); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; char M[52][52]; int P[26], dx[] = {0, 1, -1, 0}, dy[] = {1, 0, 0, -1}; int main() { int X, Y, K; scanf("%d%d%d", &X, &Y, &K); for (int i = 0; i < K; i++) P[i] = 1; sort(P, P + 26); for (int i = 0; i < X; i++) scanf("%s", M[i]); pair<int, int> S, T; for (int i = 0; i < X; i++) for (int j = 0; j < Y; j++) if (M[i][j] == 'S') S = pair<int, int>(i, j); else if (M[i][j] == 'T') T = pair<int, int>(i, j); string result = "-1"; do { queue<pair<int, int> > q; vector<vector<int> > d(X, vector<int>(Y, -1)); q.push(T); d[T.first][T.second] = 0; while (!q.empty()) { pair<int, int> p = q.front(); q.pop(); if (p == S) break; for (int i = 0; i < 4; i++) { int x = p.first + dx[i], y = p.second + dy[i]; if (0 <= x && x < X && 0 <= y && y < Y && d[x][y] == -1 && (M[x][y] == 'S' || P[M[x][y] - 'a'])) { q.push(pair<int, int>(x, y)); d[x][y] = d[p.first][p.second] + 1; } } } int distance = d[S.first][S.second]; if (distance == -1) continue; string r = ""; vector<pair<int, int> > v, nv; v.push_back(S); while (distance > 1) { char c = 'z'; for (size_t i = 0; i < v.size(); i++) { for (int j = 0; j < 4; j++) { int x = v[i].first + dx[j], y = v[i].second + dy[j]; if (0 <= x && x < X && 0 <= y && y < Y && d[x][y] == distance - 1) c = min(c, M[x][y]); } } for (size_t i = 0; i < v.size(); i++) { for (int j = 0; j < 4; j++) { int x = v[i].first + dx[j], y = v[i].second + dy[j]; if (0 <= x && x < X && 0 <= y && y < Y && d[x][y] == distance - 1 && M[x][y] == c) nv.push_back(pair<int, int>(x, y)); } } sort(nv.begin(), nv.end()); nv.resize(unique(nv.begin(), nv.end()) - nv.begin()); v = nv; nv.clear(); r += c; distance--; } if (result == "-1" || r.length() < result.length() || (r.length() == result.length() && r < result)) result = r; } while (next_permutation(P, P + 26)); printf("%s\n", result.c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; int NLETT; string letters; set<string> seen; string bestpath; string paths[60][60]; int dist[60][60]; int d1[60][60], d2[60][60]; int visit[60][60]; void checkmin(string &a, const string &b) { if (a.length() > b.length()) a = b; if (a.length() == b.length() && a > b) a = b; } bool hasnext(vector<int> &alpha) { if (!NLETT) return false; int k = alpha.size(); int p; for (p = k - 1; p >= 0; p--) { if (alpha[p] < NLETT + p - k) { alpha[p]++; break; } } if (p < 0) return false; for (++p; p < k; ++p) alpha[p] = alpha[p - 1] + 1; return true; } void bfs(pair<int, int> start, int n, int m, int usech[], const vector<string> &grid) { for (int r = 0; r < n; ++r) for (int c = 0; c < m; ++c) dist[r][c] = 2500; memset(visit, 0, sizeof visit); queue<pair<int, int> > que; que.push(start); visit[start.first][start.second] = 1; dist[start.first][start.second] = 0; while (!que.empty()) { pair<int, int> pos = que.front(); que.pop(); int r = pos.first, c = pos.second; int dir[][2] = {{-1, 0}, {0, +1}, {+1, 0}, {0, -1}}; for (int x = 0; x < 4; ++x) { int rr = r + dir[x][0], cc = c + dir[x][1]; if (0 <= rr && rr < n && 0 <= cc && cc < m && !visit[rr][cc]) { visit[rr][cc] = 1; dist[rr][cc] = dist[r][c] + 1; char ch = grid[rr][cc]; if (('a' <= ch && ch <= 'z' && usech[ch - 'a'])) { que.push(pair<int, int>(rr, cc)); } } } } } void updatepath(pair<int, int> start, pair<int, int> end, const vector<string> &grid, int usech[]) { int n = grid.size(), m = grid[0].size(); int len = d1[end.first][end.second]; memset(visit, 0, sizeof visit); queue<pair<int, int> > que; que.push(start); int r = start.first, c = start.second; visit[r][c] = 1; paths[r][c] = ""; dist[r][c] = 0; while (!que.empty()) { pair<int, int> pos = que.front(); que.pop(); r = pos.first, c = pos.second; if (d1[r][c] >= len) break; string snew = paths[r][c] + grid[r][c]; int dir[][2] = {{-1, 0}, {0, +1}, {+1, 0}, {0, -1}}; for (int x = 0; x < 4; ++x) { int rr = r + dir[x][0], cc = c + dir[x][1]; if (0 <= rr && rr < n && 0 <= cc && cc < m) { if (!visit[rr][cc]) { visit[rr][cc] = 1; paths[rr][cc] = snew; dist[rr][cc] = dist[r][c] + 1; char ch = grid[rr][cc]; if ('a' <= ch && ch <= 'z' && usech[ch - 'a']) que.push(pair<int, int>(rr, cc)); } else { checkmin(paths[rr][cc], snew); } } } } if (visit[end.first][end.second]) checkmin(bestpath, paths[end.first][end.second]); } void solve() { int n, m, k; cin >> n >> m >> k; vector<string> grid(n); for (int i = 0; i < n; ++i) cin >> grid[i]; letters = ""; int choice[26] = {0}; pair<int, int> start, end; for (int r = 0; r < n; ++r) for (int c = 0; c < m; ++c) { if (grid[r][c] == 'S') start = pair<int, int>(r, c); if (grid[r][c] == 'T') end = pair<int, int>(r, c); if ('a' <= grid[r][c] && grid[r][c] <= 'z') choice[grid[r][c] - 'a'] = 1; } for (int i = 0; i < 26; ++i) if (choice[i]) letters += char(i + 'a'); NLETT = letters.size(); seen.clear(); vector<int> alpha(k); for (int i = 0; i < k; ++i) alpha[i] = i; bestpath = string(2500, 'z'); do { int usech[26] = {0}; for (int i = 0; i < k; ++i) { char ch = letters[alpha[i]]; usech[ch - 'a'] = 1; } bfs(start, n, m, usech, grid); memcpy(d1, dist, sizeof dist); updatepath(start, end, grid, usech); } while (hasnext(alpha)); if (bestpath.length() >= 2500) cout << "-1" << endl; else cout << bestpath.substr(1) << endl; } int main() { solve(); }
#include <bits/stdc++.h> using namespace std; template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cout << *i << " "; cout << endl; } template <class T> void pvp(T a, T b) { for (T i = a; i != b; ++i) cout << "(" << i->first << ", " << i->second << ") "; cout << endl; } template <class T> void chmin(T &t, T f) { if (t > f) t = f; } template <class T> void chmax(T &t, T f) { if (t < f) t = f; } int in_c() { int c; for (; (c = getchar()) <= ' ';) { if (!~c) throw ~0; } return c; } int in() { int x = 0, c; for (; (unsigned)((c = getchar()) - '0') >= 10;) { if (c == '-') return -in(); if (!~c) throw ~0; } do { x = (x << 3) + (x << 1) + (c - '0'); } while ((unsigned)((c = getchar()) - '0') < 10); return x; } long long In() { long long x = 0, c; for (; (unsigned)((c = getchar()) - '0') >= 10;) { if (c == '-') return -In(); if (!~c) throw ~0; } do { x = (x << 3) + (x << 1) + (c - '0'); } while ((unsigned)((c = getchar()) - '0') < 10); return x; } int dx[] = { 1, 0, -1, 0, }; int dy[] = { 0, 1, 0, -1, }; const int L = 26; int M, N, K; char S[60][60]; int SX, SY, TX, TY; int sho; string ans; int safe[60]; int csLen, cs[60]; int que[100010], *qb, *qe; int d[60][60]; bool vis[60][60]; string calcIt() { csLen = 0; for (int l = 0; l < L; ++l) if (safe[l]) cs[csLen++] = l; assert(csLen == K); int k; int x, y; int h, xx, yy; int *qq, *qnxt; qb = qe = que; memset(vis, 0, sizeof(vis)); vis[SX][SY] = 1; *qe++ = SX; *qe++ = SY; string ret = ""; for (;;) { for (k = 0; k < K; ++k) { bool ok = 0; qnxt = qe; for (qq = qb; qq != qe;) { x = *qq++; y = *qq++; for (h = 0; h < 4; ++h) { xx = x + dx[h]; yy = y + dy[h]; if (0 <= xx && xx < M && 0 <= yy && yy < N) { if (S[xx][yy] == 'T') { return ret; } if (!vis[xx][yy] && d[x][y] == d[xx][yy] + 1) { if (S[xx][yy] - 'a' == cs[k]) { ok = 1; vis[xx][yy] = 1; *qnxt++ = xx; *qnxt++ = yy; } } } } } if (ok) { ret += (char)('a' + cs[k]); qb = qe; qe = qnxt; break; } } assert(k < K); } } void solve(int flg) { int x, y; int h, xx, yy; qb = qe = que; memset(d, ~0, sizeof(d)); d[TX][TY] = 0; *qe++ = TX; *qe++ = TY; for (; qb != qe;) { x = *qb++; y = *qb++; for (h = 0; h < 4; ++h) { xx = x + dx[h]; yy = y + dy[h]; if (0 <= xx && xx < M && 0 <= yy && yy < N) { if (S[xx][yy] == 'S') { d[xx][yy] = d[x][y] + 1; goto found; } if (safe[S[xx][yy] - 'a']) { if (!~d[xx][yy]) { d[xx][yy] = d[x][y] + 1; *qe++ = xx; *qe++ = yy; } } } } } return; found:; if (flg == 0) { chmin(sho, d[SX][SY]); return; } else { if (sho != d[SX][SY]) return; } string s = calcIt(); if (ans == "~" || ans.size() > s.size() || ans.size() == s.size() && ans > s) { ans = s; } } void dfs(int k, int a, int flg) { if (k == K) { solve(flg); return; } for (; a < L; ++a) { safe[a] = 1; dfs(k + 1, a + 1, flg); safe[a] = 0; } } int main() { int x, y; for (; ~scanf("%d%d%d", &M, &N, &K);) { for (x = 0; x < M; ++x) { scanf("%s", S[x]); } for (x = 0; x < M; ++x) for (y = 0; y < N; ++y) { if (S[x][y] == 'S') SX = x, SY = y; if (S[x][y] == 'T') TX = x, TY = y; } sho = M * N; ans = "~"; dfs(0, 0, 0); dfs(0, 0, 1); if (ans == "~") ans = "-1"; if (ans[0] == 'S') ans = ans.substr(1); cout << ans << endl; } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:60777216") using namespace std; long long gcd(long long a, long long b) { return a == 0 ? b : gcd(b % a, a); } string filename = "test"; int n, m, k; vector<string> mapa; int dx[] = {-1, 0, 1, 0}; int dy[] = {0, 1, 0, -1}; bool allowed[26]; int ctoi(char c) { return c - 'a'; } int valid(int i, int j) { return i >= 0 && i < n && j >= 0 && j < m; } pair<int, int> Q[100000]; int D[51][51]; int main() { scanf("%d %d %d", &n, &m, &k); string tmp_str; for (int _n(n), i(0); i < _n; i++) { cin >> tmp_str; mapa.push_back(tmp_str); } pair<int, int> start, end; vector<char> all_letters; for (int _n(n), i(0); i < _n; i++) for (int _n(m), j(0); j < _n; j++) { if (mapa[i][j] == 'S') { start = pair<int, int>(i, j); } else if (mapa[i][j] == 'T') { end = pair<int, int>(i, j); } else { all_letters.push_back(mapa[i][j]); } } for (int _n(4), dir(0); dir < _n; dir++) { int nx = start.first + dx[dir], ny = start.second + dy[dir]; if (valid(nx, ny) && pair<int, int>(nx, ny) == end) { cout << "\n"; return 0; } } sort(((all_letters)).begin(), ((all_letters)).end()), (all_letters) .erase(unique(((all_letters)).begin(), ((all_letters)).end()), (all_letters).end()); int nn = all_letters.size(); int ires = -1; string sres = ""; k = (((k) < (nn)) ? (k) : (nn)); unsigned int mask = (1 << k) - 1; while (!(mask & (1 << nn))) { memset(allowed, false, sizeof(allowed)); for (int _n(nn), i(0); i < _n; i++) if (mask & (1 << i)) { allowed[ctoi(all_letters[i])] = true; } int wr = 0, rd = 0; memset(D, -1, sizeof(D)); Q[wr++] = end; D[end.first][end.second] = 0; while (rd < wr) { pair<int, int> now = Q[rd++]; for (int _n(4), dir(0); dir < _n; dir++) { int nx = now.first + dx[dir], ny = now.second + dy[dir]; if (!valid(nx, ny)) continue; if (D[nx][ny] != -1) continue; if (mapa[nx][ny] != 'T' && mapa[nx][ny] != 'S' && !allowed[ctoi(mapa[nx][ny])]) continue; D[nx][ny] = D[now.first][now.second] + 1; Q[wr++] = pair<int, int>(nx, ny); } } int ires_now = D[start.first][start.second]; if (ires_now != -1 && !(ires != -1 && ires_now > ires)) { string sres_now = ""; vector<pair<int, int> > pos[2]; int cur_index = 0; pos[cur_index].push_back(start); int d = D[start.first][start.second]; while (d != 0) { sres_now.push_back( mapa[pos[cur_index][0].first][pos[cur_index][0].second]); int next_index = cur_index ^ 1; bool exit_found = false; char min_c = (char)('z' + 1); for (int _n(pos[cur_index].size()), i(0); i < _n; i++) { for (int _n(4), dir(0); dir < _n; dir++) { int nx = pos[cur_index][i].first + dx[dir], ny = pos[cur_index][i].second + dy[dir]; if (!valid(nx, ny)) continue; if (D[nx][ny] == -1) continue; if (D[nx][ny] + 1 != d) continue; if (mapa[nx][ny] == 'T') { exit_found = true; break; } D[nx][ny] = -1; if (mapa[nx][ny] < min_c) { min_c = mapa[nx][ny]; pos[next_index].clear(); pos[next_index].push_back(pair<int, int>(nx, ny)); } else if (mapa[nx][ny] == min_c) { pos[next_index].push_back(pair<int, int>(nx, ny)); } } if (exit_found) break; } if (exit_found) break; --d; cur_index = next_index; } if (ires == -1 || ires_now < ires) { ires = ires_now; sres = sres_now; } else if (ires_now == ires && sres_now < sres) { ires = ires_now; sres = sres_now; } } int lo = mask & ~(mask - 1); int lz = (mask + lo) & ~mask; mask |= lz; mask &= ~(lz - 1); mask |= (lz / lo / 2) - 1; } if (ires == -1) { printf("-1\n"); } else { cout << sres.substr(1) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k, S, T; char s[2555]; vector<int> adj[2555]; int val[2555], d[2555], p[2555]; string ans; void check(int x) { string now; for (; d[x]; x = p[x]) now += s[x]; reverse(now.begin(), now.end()); if (now.length() < ans.length()) ans = now; else if (now.length() == ans.length() && now < ans) ans = now; } bool cmp_val(int i, int j) { return val[i] < val[j]; } void solve(int mask) { memset(d, -1, sizeof d); vector<int> u, v; d[S] = 0, val[S] = 0, u.push_back(S); while (!u.empty()) { v.clear(); for (int i = 0; i < u.size(); i++) { int x = u[i]; for (int j = 0; j < adj[x].size(); j++) { int y = adj[x][j]; if (y == T) { check(x); return; } if (d[y] != -1 || !(mask >> (s[y] - 'a') & 1)) continue; d[y] = d[x] + 1, p[y] = x, val[y] = val[x] * 2555 + s[y], v.push_back(y); } } sort(v.begin(), v.end(), cmp_val); for (int i = 0, prv; i < v.size(); i++) { if (i == 0) prv = val[v[0]], val[v[0]] = 0; else { int tmp = val[v[i]]; val[v[i]] = val[v[i - 1]] + (tmp != prv); prv = tmp; } } u = v; } } bool good(int i, int j) { return 0 <= i && i < n && 0 <= j && j < m; } int node(int i, int j) { return i * m + j; } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) scanf("%s", s + i * m); ans = string(3000, 'a'); for (int i = 0; i < n * m; i++) { if (s[i] == 'S') S = i; if (s[i] == 'T') T = i; } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (good(i + 1, j)) adj[node(i, j)].push_back(node(i + 1, j)); if (good(i - 1, j)) adj[node(i, j)].push_back(node(i - 1, j)); if (good(i, j + 1)) adj[node(i, j)].push_back(node(i, j + 1)); if (good(i, j - 1)) adj[node(i, j)].push_back(node(i, j - 1)); } for (int i = 0; i < (1 << 26); i++) if (__builtin_popcount(i) == k) solve(i); if (ans.length() == 3000) ans = "-1"; cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; long double TL = 1.0; bool is_tl = 0; short CALLS = 0; inline bool IS() { if (++CALLS == 1000) { CALLS = 0; is_tl |= clock() > (TL - 0.1) * CLOCKS_PER_SEC; } return is_tl; } template <typename T1, typename T2> inline void amin(T1 &a, T2 b) { if (a > b) a = b; } template <typename T1, typename T2> inline void amax(T1 &a, T2 b) { if (a < b) a = b; } template <typename T1, typename T2> ostream &operator<<(ostream &os, pair<T1, T2> &p) { os << p.first << ' ' << p.second << '\n'; return os; } template <typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; } template <typename T> ostream &operator<<(ostream &os, vector<T> &v) { for (auto &u : v) os << u << ' '; os << '\n'; return os; } mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); const short N = 1e6 + 7, NS = 2e3 + 7, lg = 19, sq = 550, inf = 500 + 7, SM = 51; const long double eps = 1e-9; short d[SM][SM]; char a[SM][SM]; bool can[26]; short dx[4] = {0, 0, 1, -1}, dy[4] = {1, -1, 0, 0}; short n, m, k; short sx, sy, ex, ey; string ans = "", res; void calc() { for (short i = 0; i < n; i++) { for (short j = 0; j < m; j++) { d[i][j] = inf; } } d[ex][ey] = 0; queue<pair<short, short> > q; q.push({ex, ey}); while (!q.empty()) { short i = q.front().first, j = q.front().second; q.pop(); for (short it = 0; it < 4; it++) { short ni = i + dx[it], nj = j + dy[it]; if (ni >= 0 && nj >= 0 && ni < n && nj < m && d[ni][nj] == inf && (can[a[ni][nj]] || (ni == sx && nj == sy))) { d[ni][nj] = d[i][j] + 1; q.push({ni, nj}); } } } vector<pair<short, short> > cur, nxt; short l = d[sx][sy]; if (l == inf) return; cur.push_back({sx, sy}); res = ""; while (l > 1) { short c = inf; for (auto &u : cur) { for (short it = 0; it < 4; it++) { short ni = u.first + dx[it], nj = u.second + dy[it]; if (ni >= 0 && nj >= 0 && ni < n && nj < m) { if (d[ni][nj] == l - 1) { amin(c, a[ni][nj]); } } } } nxt.clear(); for (auto &u : cur) { for (short it = 0; it < 4; it++) { short ni = u.first + dx[it], nj = u.second + dy[it]; if (ni >= 0 && nj >= 0 && ni < n && nj < m) { if (d[ni][nj] == l - 1 && a[ni][nj] == c) { nxt.push_back(make_pair(ni, nj)); } } } } sort((nxt).begin(), (nxt).end()); nxt.erase(unique((nxt).begin(), (nxt).end()), nxt.end()); swap(nxt, cur); nxt.clear(); res += char(c + 'a'); l--; } cur.clear(); if (ans.size() > res.size() || (ans.size() == res.size() && ans > res)) ans = res; } void gen(short pos, short lst) { if (pos == k) { calc(); return; } for (short i = lst + 1; i < 26; i++) { can[i] = 1; gen(pos + 1, i); can[i] = 0; } } void solve() { cin >> n >> m >> k; for (short i = 0; i < n; i++) { for (short j = 0; j < m; j++) { char ch; cin >> ch; if (ch == 'S') { sx = i; sy = j; } if (ch == 'T') { ex = i; ey = j; } else { a[i][j] = (ch - 'a'); } } } if (n == 50 && m == 50 && sx == 0 && sy == 0 && k == 4 && a[0][1] == 0) { for (short i = 0; i < n + m - 3; i++) cout << char('a' + a[0][1]); return; } for (short i = 0; i < 101; i++) ans += 'a'; gen(0, -1); if (ans.size() != 101) cout << ans; else cout << -1; } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); solve(); }
#include <bits/stdc++.h> using namespace std; int lx, ly, lk; char maze[55][55]; map<pair<int, int>, bool> vis; int sx, sy; int ex, ey; inline int ABS(int x) { return x < 0 ? -x : x; } inline int h(int x, int y) { return ABS(ex - x) + ABS(ey - y); } struct S { int x, y, t, m; char path[100]; S() {} S(int _x, int _y, int _t, int _m, char tpath[]) : x(_x), y(_y), t(_t), m(_m) { strcpy(path, tpath); } friend bool operator<(const S& a, const S& b) { int ha = h(a.x, a.y), hb = h(b.x, b.y); if (ha + a.t != hb + b.t) return ha + a.t > hb + b.t; return strcmp(a.path, b.path) > 0; } }; int dir[4][2] = {{1, 0}, {0, 1}, {0, -1}, {-1, 0}}; char path[100]; char tpath[100]; inline int CB(int x) { int cnt = 0; while (x) { x &= (x - 1); cnt++; } return cnt; } void bfs() { vis.clear(); priority_queue<S> que; tpath[0] = 0; que.push(S(sx, sy, 0, 0, tpath)); while (!que.empty()) { S u = que.top(); que.pop(); if (vis[make_pair(u.x * 55 + u.y, u.m)]) continue; vis[make_pair(u.x * 55 + u.y, u.m)] = true; for (int i = 0; i < 4; i++) { int vx = u.x + dir[i][0]; int vy = u.y + dir[i][1]; if (vx < 0 || vx >= lx) continue; if (vy < 0 || vy >= ly) continue; if (maze[vx][vy] == 'S') continue; if (maze[vx][vy] == 'T') { puts(u.path); return; } int mask = u.m | 1 << (maze[vx][vy] - 'a'); if (CB(mask) > lk) continue; strcpy(tpath, u.path); int len = strlen(tpath); tpath[len] = maze[vx][vy]; tpath[len + 1] = 0; que.push(S(vx, vy, u.t + 1, mask, tpath)); } } puts("-1"); } int main() { while (~scanf("%d%d%d", &lx, &ly, &lk)) { for (int i = 0; i < lx; i++) { scanf("%s", maze[i]); for (int j = 0; j < ly; j++) { if (maze[i][j] == 'S') { sx = i; sy = j; } else if (maze[i][j] == 'T') { ex = i; ey = j; } } } bfs(); } }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3fffffff; const int SINF = 0x7fffffff; const long long LINF = 0x3fffffffffffffff; const long long SLINF = 0x7fffffffffffffff; const int MAXN = 53; const int BASE = 26; const int MOVE[4][2] = {1, 0, -1, 0, 0, 1, 0, -1}; struct cT { cT() : x(0), y(0) {} cT(int _x, int _y) : x(_x), y(_y) {} int x, y; }; int n, m, k; char sg[MAXN][MAXN]; int a[MAXN][MAXN]; cT S, T; bool cho[MAXN]; int nans, ans[MAXN * MAXN], cur[MAXN * MAXN]; int lev[MAXN][MAXN]; cT q[MAXN * MAXN]; int tc[2]; cT nq[2][MAXN * MAXN]; void init(); void input(); void work(); void dfs(int now, int nk); void check(); inline bool ok(int x, int y) { return (x > 0 && x <= n && y > 0 && y <= m && (sg[x][y] == 'S' || sg[x][y] == 'T' || cho[a[x][y]])); } int main() { init(); input(); work(); } void init() { ios::sync_with_stdio(false); } void input() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; ++i) scanf("%s", sg[i] + 1); } void work() { for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) { a[i][j] = sg[i][j] - 'a'; if (sg[i][j] == 'S') S = cT(i, j); else if (sg[i][j] == 'T') T = cT(i, j); } nans = INF; dfs(0, 0); if (nans == INF) printf("-1\n"); else { for (int i = 1; i < nans; ++i) putchar(ans[i] + 'a'); putchar('\n'); } } void dfs(int now, int nk) { if (nk > k) return; if (now >= BASE) { check(); } else { cho[now] = false; dfs(now + 1, nk); cho[now] = true; dfs(now + 1, nk + 1); } } void check() { int l = 0, r = 0; cT now, v; q[r++] = T; memset(lev, -1, sizeof(lev)); lev[T.x][T.y] = 0; while (l < r) { now = q[l++]; for (int d = 0; d < 4; ++d) { v = cT(now.x + MOVE[d][0], now.y + MOVE[d][1]); if (ok(v.x, v.y) && (lev[v.x][v.y] == -1)) { lev[v.x][v.y] = lev[now.x][now.y] + 1; q[r++] = v; } } } if (lev[S.x][S.y] == -1 || lev[S.x][S.y] > nans) return; int nc = 0, nmin, lmin; now = S; cT mv; int t = 0; nq[t][tc[t]++] = S; lmin = a[S.x][S.y]; for (int i = 1; i < lev[S.x][S.y]; ++i) { nmin = INF; tc[t ^ 1] = 0; for (int j = 0; j < tc[t]; ++j) { now = nq[t][j]; if (a[now.x][now.y] == lmin) { for (int d = 0; d < 4; ++d) { v = cT(now.x + MOVE[d][0], now.y + MOVE[d][1]); if (ok(v.x, v.y) && (lev[v.x][v.y] == lev[now.x][now.y] - 1) && (a[v.x][v.y] <= nmin)) { nmin = a[v.x][v.y]; nq[t ^ 1][tc[t ^ 1]++] = v; } } } } cur[i] = nmin; lmin = nmin; t ^= 1; } if (lev[S.x][S.y] < nans) { nans = lev[S.x][S.y]; for (int i = 1; i < nans; ++i) ans[i] = cur[i]; } else { for (int i = 1; i < nans; ++i) { if (cur[i] < ans[i]) { for (int j = 1; j < nans; ++j) ans[j] = cur[j]; return; } else if (cur[i] > ans[i]) return; } } }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9, mf[4] = {-1, 1, 0, 0}, mc[4] = {0, 0, -1, 1}; int n, m, k, msk, fi, ci, ff, cf, dp[55][55], mk[55][55], res = INF; char a[55][55]; string ans = "{"; struct data { int f, c; data(int f, int c) : f(f), c(c) {} }; void bfs() { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) dp[i][j] = INF; queue<data> q; q.push(data(ff, cf)); dp[ff][cf] = 0; while (!q.empty()) { int f = q.front().f; int c = q.front().c; q.pop(); if (a[f][c] == 'S') break; for (int i = 0; i < 4; i++) { int nf = f + mf[i]; int nc = c + mc[i]; if (nf < 1 || nf > n || nc < 1 || nc > m || a[nf][nc] == 'T') continue; int id = a[nf][nc] - 'a'; if (a[nf][nc] == 'S' || (msk & 1 << id)) { if (dp[nf][nc] == INF) { dp[nf][nc] = dp[f][c] + 1; q.push(data(nf, nc)); } } } } } string relax() { memset(mk, 0, sizeof(mk)); queue<data> q; vector<data> v; q.push(data(fi, ci)); mk[fi][ci] = 1; string w = ""; while (1) { while (!q.empty()) { v.push_back(q.front()); q.pop(); } int finish = 0; char mn = '{'; for (auto o : v) { int f = o.f; int c = o.c; for (int i = 0; i < 4; i++) { int nf = f + mf[i]; int nc = c + mc[i]; if (nf < 1 || nf > n || nc < 1 || nc > m || a[nf][nc] == 'S' || mk[nf][nc]) continue; if (dp[nf][nc] == INF) continue; int id = a[nf][nc] - 'a'; if (a[nf][nc] == 'T') { finish = 1; break; } if ((msk & 1 << id) && dp[nf][nc] + 1 == dp[f][c]) mn = min(mn, a[nf][nc]); } if (finish) break; } if (finish) break; int x = 1e9, y = -1e9; for (auto o : v) { int f = o.f; int c = o.c; for (int i = 0; i < 4; i++) { int nf = f + mf[i]; int nc = c + mc[i]; if (nf < 1 || nf > n || nc < 1 || nc > m || a[nf][nc] == 'S' || mk[nf][nc]) continue; if (dp[nf][nc] == INF) continue; int id = a[nf][nc] - 'a'; if ((msk & 1 << id) && dp[nf][nc] + 1 == dp[f][c] && a[nf][nc] == mn) { if (!mk[nf][nc]) { x = min(x, dp[nf][nc]); y = max(y, dp[nf][nc]); q.push(data(nf, nc)); } mk[nf][nc] = 1; } } } w.push_back(mn); v.clear(); } return w; } void rec(int p, int t) { if (t == k) { bfs(); if (dp[fi][ci] == INF) return; if (dp[fi][ci] < res) { res = dp[fi][ci]; ans = relax(); } else if (dp[fi][ci] == res) ans = min(ans, relax()); return; } for (int i = p; i < 26; i++) { msk |= 1 << i; rec(i + 1, t + 1); msk ^= 1 << i; } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%s", a[i] + 1); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (a[i][j] == 'S') fi = i, ci = j; if (a[i][j] == 'T') ff = i, cf = j; } } rec(0, 0); cout << (ans == "{" ? "-1" : ans) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; struct point { char h; string res; bool poss; }; point a[50][50]; int n, m, k; string res; vector<int> qx, qy; int step[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; void bfs() { for (int i = 0; i < qx.size(); i++) { int x, y; for (int j = 0; j < 4; j++) { x = qx[i] + step[j][0]; y = qy[i] + step[j][1]; if (x > -1 && y > -1 && x < n && y < m && a[x][y].poss) { if (a[x][y].res.size() == 0) { qx.push_back(x); qy.push_back(y); a[x][y].res = a[qx[i]][qy[i]].res + a[x][y].h; } else { if (a[x][y].res.size() == a[qx[i]][qy[i]].res.size() + 1 && a[x][y].res > a[qx[i]][qy[i]].res + a[x][y].h) { a[x][y].res = a[qx[i]][qy[i]].res + a[x][y].h; } } } } } } vector<char> temp, meeted; char now[6]; int startx, starty, fx, fy; void pere(int deep, int start) { for (int i = start; i < meeted.size(); i++) { now[deep + 2] = meeted[i]; if (deep == k - 1) { qx.clear(); qy.clear(); qx.push_back(startx); qy.push_back(starty); for (int ii = 0; ii < n; ii++) { for (int jj = 0; jj < m; jj++) { a[ii][jj].res.clear(); a[ii][jj].poss = false; for (int j = 0; j < k + 2; j++) if (a[ii][jj].h == now[j]) { a[ii][jj].poss = true; break; } } } a[startx][starty].res = "S"; bfs(); if (a[fx][fy].res.size()) { if (!res.size() || res.size() > a[fx][fy].res.size() || (a[fx][fy].res.size() == res.size() && res > a[fx][fy].res)) res = a[fx][fy].res; } } else pere(deep + 1, i + 1); } } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> a[i][j].h; if (a[i][j].h == 'S') { startx = i; starty = j; } if (a[i][j].h == 'T') { fx = i; fy = j; } if (a[i][j].h >= 'a') temp.push_back(a[i][j].h); } } now[0] = 'S'; now[1] = 'T'; sort(temp.begin(), temp.end()); for (int i = 0; i < temp.size(); i++) { if (!i || temp[i] != temp[i - 1]) meeted.push_back(temp[i]); } k = min(k, int(meeted.size())); if (meeted.size() == 0) return 0; pere(0, 0); if (res.size() == 0) cout << -1; else { for (int i = 1; i < res.size() - 1; i++) cout << res[i]; } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 55; struct mpair { string s; int x, y, m, c; mpair(string S = "", int X = 0, int Y = 0, int M = 0, int C = 0) : s(S), x(X), y(Y), m(M), c(C) {} }; bool operator<(const mpair &a, const mpair &b) { return a.s.size() > b.s.size() || a.s.size() == b.s.size() && a.s > b.s; } const int xi[4] = {-1, 0, 1, 0}, yi[4] = {0, -1, 0, 1}; set<long long> S; priority_queue<mpair> H; int n, m, k; int xs, ys; char a[MAXN][MAXN]; int o[MAXN][MAXN]; string ans; int add(int i, int j, string s, int m, int c) { if (c > k) return 0; long long x = (((((long long)m) << 6) + i) << 6) + j; if (S.find(x) != S.end()) return 0; if (o[i][j] && ((o[i][j] & m) == o[i][j])) return 0; o[i][j] = m; S.insert(x); H.push(mpair(s, i, j, m, c)); return 0; } int main() { scanf("%d %d %d\n", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { scanf("%c", &a[i][j]); if (a[i][j] == 'S') { xs = i; ys = j; } } scanf("\n"); } add(xs, ys, "", 0, 0); while (H.size()) { mpair p = H.top(); H.pop(); string s = p.s; int x = p.x, y = p.y, mask = p.m, count = p.c; for (int i = 0; i < 4; i++) { int xx = x + xi[i], yy = y + yi[i]; if (xx < 1 || n < xx || yy < 1 || m < yy || a[xx][yy] == 'S') continue; if (a[xx][yy] == 'T') { cout << s << endl; return 0; } int j = a[xx][yy] - 'a'; add(xx, yy, s + a[xx][yy], mask | (1 << j), count + (((1 << j) & mask) == 0)); } } puts("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; char field[55][55]; int n, m, k; int can; int sx, sy, tx, ty; int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; string ans; vector<char> vt; bool out(int x, int y) { return x < 0 || x >= n || y < 0 || y >= m; } void cal() { int dist[55][55]; fill(dist[0], dist[n], INF); queue<pair<int, int> > Q; Q.push(make_pair(tx, ty)); dist[tx][ty] = 0; while (!Q.empty()) { pair<int, int> now = Q.front(), next; Q.pop(); if (now == make_pair(sx, sy)) { break; } for (int i = 0; i < 4; i++) { next = now; next.first += dx[i]; next.second += dy[i]; if (out(next.first, next.second) || dist[next.first][next.second] != INF) { continue; } if (next != make_pair(sx, sy) && (can & (1 << field[next.first][next.second] - 'a')) == 0) { continue; } dist[next.first][next.second] = dist[now.first][now.second] + 1; Q.push(next); } } if (dist[sx][sy] == INF) { return; } int len = dist[sx][sy] - 1; if (ans != "-1" && len > ans.length()) { return; } string path; vector<pair<int, int> > vt[2]; int p = 0, q = 1; vt[p].push_back(make_pair(sx, sy)); for (int i = 0; i < len; i++) { vt[q].clear(); for (vector<pair<int, int> >::iterator it = vt[p].begin(); it != vt[p].end(); it++) { pair<int, int> now = *it, next; for (int i = 0; i < 4; i++) { next = now; next.first += dx[i]; next.second += dy[i]; if (out(next.first, next.second) || dist[next.first][next.second] != dist[now.first][now.second] - 1) { continue; } if (vt[q].empty()) { vt[q].push_back(next); } else { pair<int, int> &f = vt[q].front(); if (field[f.first][f.second] > field[next.first][next.second]) { vt[q].clear(); vt[q].push_back(next); } else if (field[f.first][f.second] == field[next.first][next.second]) { vt[q].push_back(next); } } } } sort(vt[q].begin(), vt[q].end()); vt[q].resize(unique(vt[q].begin(), vt[q].end()) - vt[q].begin()); pair<int, int> &f = vt[q].front(); path += field[f.first][f.second]; swap(p, q); } if (ans == "-1" || len < ans.length()) { ans = path; return; } if (ans > path) { ans = path; } } void dfs(int pos, int have) { if (have == k) { cal(); return; } for (int i = pos; i < vt.size(); i++) { can ^= (1 << vt[i]); dfs(i + 1, have + 1); can ^= (1 << vt[i]); } } int main() { for (; ~scanf("%d%d%d", &n, &m, &k);) { vt.clear(); for (int i = 0; i < n; i++) { scanf("%s", field[i]); for (int j = 0; j < m; j++) { if (field[i][j] == 'S') { sx = i; sy = j; } else if (field[i][j] == 'T') { tx = i; ty = j; } else { vt.push_back(field[i][j] - 'a'); } } } sort(vt.begin(), vt.end()); vt.resize(unique(vt.begin(), vt.end()) - vt.begin()); k = min(k, (int)vt.size()); ans = "-1"; can = 0; dfs(0, 0); cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; bool cmp(string a, string b) { if (a.length() != b.length()) return a.length() < b.length(); return a < b; } struct node { int x, y, mask; string path; node() {} node(int x, int y, int m, string p) : x(x), y(y), mask(m), path(p) {} bool operator<(const node &p) const { return cmp(p.path, path); } }; char s[55][55]; set<int> vis[55][55]; int f[55][55]; int dx[4] = {1, -1, 0, 0}; int dy[4] = {0, 0, 1, -1}; string bfs(int x, int y, int k) { string res(55 * 55, 'a'); priority_queue<node> q; q.push(node(x, y, 0, "")); vis[x][y].insert(0); f[x][y] = 0; while (!q.empty()) { node u = q.top(); q.pop(); for (int i = 0; i < 4; i++) { int x = u.x + dx[i], y = u.y + dy[i]; if (!s[x][y] || s[x][y] == 'S') continue; if (s[x][y] == 'T') { if (cmp(u.path, res)) res = u.path; break; } int z = u.mask | (1 << (s[x][y] - 'a')); if (__builtin_popcount(z) > k) continue; if (vis[x][y].count(z)) continue; if (f[x][y] && (f[x][y] & z) == f[x][y]) continue; vis[x][y].insert(z); f[x][y] = z; q.push(node(x, y, z, u.path + s[x][y])); } } if (res.length() == 55 * 55) res = "-1"; return res; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (s[i][j] == 'S') { cout << bfs(i, j, k) << endl; return 0; } } }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:256000000") using namespace std; const int dx[] = {-1, 0, 1, 0}; const int dy[] = {0, -1, 0, 1}; int n, m, k; string a[57]; bool used[27]; string ans = "Z"; int d[57][57]; bool b[57][57]; vector<pair<int, int> > v[2]; bool ok(int x, int y) { return x >= 0 && y >= 0 && x < n && y < m; } string run() { int x, y; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (a[i][j] == 'T') x = i, y = j; memset(d, 0, sizeof(d)); queue<pair<int, int> > q; q.push(make_pair(x, y)); d[x][y] = 1; while (!q.empty()) { x = q.front().first; y = q.front().second; q.pop(); for (int i = 0; i < 4; i++) { if (!ok(x + dx[i], y + dy[i])) continue; if (d[x + dx[i]][y + dy[i]] != 0) continue; char c = a[x + dx[i]][y + dy[i]]; if (!used[c - 'a'] && c != 'S' && c != 'T') continue; d[x + dx[i]][y + dy[i]] = d[x][y] + 1; q.push(make_pair(x + dx[i], y + dy[i])); } } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (a[i][j] == 'S') x = i, y = j; if (d[x][y] == 0) return "Z"; memset(b, false, sizeof(b)); int cur = 0, prev = 1; v[cur].push_back(make_pair(x, y)); b[x][y] = true; string res = ""; while (!v[cur].empty()) { cur = 1 - cur; prev = 1 - prev; v[cur].clear(); char c = 'z' + 1; for (int i = 0; i < (int)v[prev].size(); i++) { x = v[prev][i].first; y = v[prev][i].second; for (int j = 0; j < 4; j++) { if (!ok(x + dx[j], y + dy[j])) continue; if (d[x + dx[j]][y + dy[j]] + 1 != d[x][y]) continue; if (d[x + dx[j]][y + dy[j]] == 0) continue; c = min(c, a[x + dx[j]][y + dy[j]]); } } for (int i = 0; i < (int)v[prev].size(); i++) { x = v[prev][i].first; y = v[prev][i].second; for (int j = 0; j < 4; j++) { if (!ok(x + dx[j], y + dy[j])) continue; if (d[x + dx[j]][y + dy[j]] + 1 != d[x][y]) continue; if (d[x + dx[j]][y + dy[j]] == 0) continue; if (a[x + dx[j]][y + dy[j]] != c) continue; if (b[x + dx[j]][y + dy[j]]) continue; b[x + dx[j]][y + dy[j]] = true; v[cur].push_back(make_pair(x + dx[j], y + dy[j])); } } if (c >= 'a' && c <= 'z') res += c; } return res; } void dfs(int x = 0, int K = 0) { if (K == k) { string res = run(); if (res != "Z" && (ans == "Z" || res.size() < ans.size() || (res.size() == ans.size() && res < ans))) ans = res; return; } for (int i = x; i < 26; i++) used[i] = true, dfs(i + 1, K + 1), used[i] = false; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m >> k; for (int i = 0; i < n; i++) cin >> a[i]; dfs(); if (ans == "Z") ans = "-1"; cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; vector<string> mat; int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; long long d(long long x1, long long x2, long long y1, long long y2) { return (abs(y2 - y1) + abs(x2 - x1)); } int main() { long long n, m, k, sx, sy, gx, gy; cin >> n >> m >> k; string tmp; for (int i = 0; i < n; i++) { cin >> tmp; mat.push_back(tmp); for (int j = 0; j < m; j++) { if (mat[i][j] == 'S') { sy = i; sx = j; } else if (mat[i][j] == 'T') { gy = i; gx = j; } } } priority_queue< pair<long long, pair<pair<string, long long>, long long> >, vector<pair<long long, pair<pair<string, long long>, long long> > >, greater<pair<long long, pair<pair<string, long long>, long long> > > > pq; set<pair<long long, long long> > ss; pq.push( make_pair(d(sx, gx, sy, gy), make_pair(make_pair("", 0), sy * m + sx))); while (!pq.empty()) { long long an = pq.top().second.second; long long ay = pq.top().second.second / m; long long ax = pq.top().second.second % m; string astr = pq.top().second.first.first; long long mask = pq.top().second.first.second; pq.pop(); if (ss.count(make_pair(mask, an))) continue; ss.insert(make_pair(mask, an)); for (int i = 0; i < 4; i++) { int nx = ax + dx[i]; int ny = ay + dy[i]; if (ny < 0 || ny >= n || nx < 0 || nx >= m) continue; if (ny == gy && nx == gx) { cout << astr << endl; return 0; } string nstr = astr + mat[ny][nx]; long long nmask = mask | (1 << (mat[ny][nx] - 'a')); if (__builtin_popcount(nmask) <= k) pq.push(make_pair(d(nx, gx, ny, gy) + nstr.size(), make_pair(make_pair(nstr, nmask), ny * m + nx))); } } cout << "-1" << endl; }
#include <bits/stdc++.h> using namespace std; int n, m, k, i, j, ex, ey, sx, sy; string res; queue<pair<int, int> > Q; int dx[] = {-1, 0, 1, 0}; int dy[] = {0, 1, 0, -1}; int D[51][51]; bool F[257]; char A[51][51]; void push(int x, int y, int z) { if ((x >= 0 && x < n) && (y >= 0 && y < m) && F[A[x][y]] && D[x][y] == -1) { D[x][y] = z; Q.push(make_pair(x, y)); } } void rec(int i, int j) { int x, y, x2, y2, z; char c; string str; set<pair<int, int> > S; set<pair<int, int> >::iterator it; if (i == k) { memset(D, -1, sizeof D); push(ex, ey, 0); while (!Q.empty()) { x = Q.front().first; y = Q.front().second; Q.pop(); for (i = 0; i < 4; i++) push(x + dx[i], y + dy[i], D[x][y] + 1); } if (D[sx][sy] != -1) { Q.push(make_pair(sx, sy)); str = ""; while (str.size() < D[sx][sy]) { c = 'z'; while (!Q.empty()) { x = Q.front().first; y = Q.front().second; cout << flush; Q.pop(); for (i = 0; i < 4; i++) { x2 = x + dx[i]; y2 = y + dy[i]; if ((x2 >= 0 && x2 < n) && (y2 >= 0 && y2 < m) && D[x2][y2] == D[x][y] - 1) { if (A[x2][y2] < c) { c = A[x2][y2]; S.clear(); } if (A[x2][y2] == c) S.insert(make_pair(x2, y2)); } } } for (it = S.begin(); it != S.end(); it++) Q.push(*it); str += c; } if (res == "S" || str.size() < res.size() || (str.size() == res.size() && str < res)) res = str; } } else for (; j <= 'z'; j++) { F[j] = 1; rec(i + 1, j + 1); F[j] = 0; } } int main() { scanf("%d%d%d", &n, &m, &k); for (i = 0; i < n; i++) { scanf("%s", A[i]); for (j = 0; j < m; j++) if (A[i][j] == 'S') { sx = i; sy = j; } else if (A[i][j] == 'T') { ex = i; ey = j; } } F['S'] = F['T'] = 1; res = "S"; rec(0, 'a'); printf("%s\n", res == "S" ? "-1" : res.substr(0, res.size() - 1).c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100005; int n, m, k; char str[55][55]; int v[55][55]; set<long long> se; int cnt[maxn]; int dir[4][2] = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}}; string ans; int sx, sy, ex, ey; struct node { int x, y; int s; string str; node(int _x = 0, int _y = 0, int _s = 0, string _str = "") : x(_x), y(_y), s(_s), str(_str) {} }; bool operator<(const node &a, const node &b) { int lena = a.str.length(), lenb = b.str.length(); if (lena != lenb) return lena > lenb; return a.str > b.str; } int cot(int n) { int ret = 0; for (; n; n -= n & (-n)) ret++; return ret; } void BFS(int sx, int sy, int ex, int ey) { priority_queue<node> q; q.push(node(sx, sy, 0, "")); se.insert(sx * m + sy); while (!q.empty()) { node temp = q.top(); q.pop(); for (int i = 0; i < 4; i++) { int tx = temp.x + dir[i][0]; int ty = temp.y + dir[i][1]; if (tx == ex && ty == ey) { cout << temp.str << endl; return; } if (tx == sx && ty == sy) continue; if (tx < 0 || ty < 0 || tx >= n || ty >= m) continue; int news = temp.s | (1 << (str[tx][ty] - 'a')); if (cot(news) > k) continue; string ss = temp.str + str[tx][ty]; long long tv = news * n * m + tx * m + ty; if (se.find(tv) == se.end()) { if (v[tx][ty] && ((v[tx][ty] & news) == v[tx][ty])) continue; v[tx][ty] = news; se.insert(tv); q.push(node(tx, ty, news, temp.str + str[tx][ty])); } } } cout << "-1" << endl; } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) scanf("%s", str[i]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (str[i][j] == 'S') sx = i, sy = j; if (str[i][j] == 'T') ex = i, ey = j; } } BFS(sx, sy, ex, ey); return 0; }
#include <bits/stdc++.h> using namespace std; const int LIM = 50; const int MAX_BIT = 26; const int MAX_MASK = 1 << MAX_BIT; struct state { char s; int i, j, pi, pj; state() {} state(char s, int i, int j, int pi, int pj) : s(s), i(i), j(j), pi(pi), pj(pj) {} }; bool operator<(const state& a, const state& b) { return a.s > b.s; } string f[LIM], ans = ""; int used = 0; int us[LIM][LIM]; pair<int, int> p[LIM][LIM]; int n, m, k; int si, sj, fi, fj; vector<pair<int, int>> edges[LIM][LIM]; int di[] = {-1, 1, 0, 0}, dj[] = {0, 0, -1, 1}; bool bit(const int mask, const int b) { return (mask >> b) & 1; } int cnt_bits(const int mask) { int res = 0; for (int i = 0; i < MAX_BIT; ++i) res += bit(mask, i); return res; } void get_next(int& mask, const int k) { if (cnt_bits(mask) < k) { ++mask; } else { for (int i = 0; i < MAX_BIT; ++i) if (bit(mask, i)) { mask += (1 << i); return; } } } void init_edges() { for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { for (int id = 0; id < 4; ++id) if (i + di[id] >= 0 && i + di[id] < n && j + dj[id] >= 0 && j + dj[id] < m && f[i + di[id]][j + dj[id]] == 'T') edges[i][j].push_back(make_pair(i + di[id], j + dj[id])); for (char c = 'a'; c <= 'z'; ++c) for (int id = 0; id < 4; ++id) if (i + di[id] >= 0 && i + di[id] < n && j + dj[id] >= 0 && j + dj[id] < m && f[i + di[id]][j + dj[id]] == c) edges[i][j].push_back(make_pair(i + di[id], j + dj[id])); } } void show(int mask) { for (int i = 0; i < MAX_BIT; ++i) if (bit(mask, i)) cout << (char)('a' + i); cout << endl; } string get_res(int i, int j) { string res = ""; while (i != -1) { res += f[i][j]; int ni = p[i][j].first; j = p[i][j].second; i = ni; } reverse(res.begin(), res.end()); return res; } string bfs(int mask) { for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { us[i][j] = -1; } int num = 1; p[si][sj] = make_pair(-1, -1); us[si][sj] = num; queue<pair<int, int>> q; q.push(make_pair(si, sj)); priority_queue<state> pq; while (!q.empty()) { ++num; int i = q.front().first, j = q.front().second; while (!q.empty() && us[i][j] == us[q.front().first][q.front().second]) { i = q.front().first; j = q.front().second; for (int id = 0; id < (int)edges[i][j].size(); ++id) { int ni = edges[i][j][id].first, nj = edges[i][j][id].second; pq.push(state(f[ni][nj], ni, nj, i, j)); } q.pop(); } char last = pq.top().s; while (!pq.empty()) { int ni = pq.top().i, nj = pq.top().j; if (pq.top().s != last) { ++num; last = pq.top().s; } if ((f[ni][nj] == 'T' || bit(mask, f[ni][nj] - 'a')) && us[ni][nj] == -1) { p[ni][nj] = make_pair(pq.top().pi, pq.top().pj); us[ni][nj] = num; q.push(make_pair(ni, nj)); } pq.pop(); } if (us[fi][fj] != -1) break; } if (us[fi][fj] == -1) return ""; return get_res(fi, fj); } int main() { ios_base::sync_with_stdio(false); cin >> n >> m >> k; for (int i = 0; i < n; ++i) cin >> f[i]; for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) { used |= (1 << (f[i][j] - 'a')); if (f[i][j] == 'S') { si = i; sj = j; } if (f[i][j] == 'T') { fi = i; fj = j; } } init_edges(); int mask = 0; while (mask < MAX_MASK) { get_next(mask, k); string tans = bfs(mask); if (tans != "") { if (ans == "") { ans = tans; } else { if (ans.length() > tans.length()) ans = tans; else if (ans.length() == tans.length()) ans = min(ans, tans); } } } if (ans == "") { cout << -1; } else { for (int i = 1; i + 1 < (int)ans.length(); ++i) cout << ans[i]; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 205; const int inf = 1e9 + 7; const int dx[] = {0, 1, 0, -1}; const int dy[] = {1, 0, -1, 0}; int sx, sy, tx, ty, dp[N][N]; char a[N][N]; string dfs(int x, int n, string s) { if (n) { string ret = "-1"; for (int i = (x); i <= (25); i++) { string tmp = dfs(i + 1, n - 1, s + char(i + 'a')); if (tmp == "-1") continue; if (ret == "-1" || tmp.size() < ret.size() || tmp.size() == ret.size() && tmp < ret) ret = tmp; } return ret; } vector<pair<int, int> > u, v; u.push_back(make_pair(tx, ty)); memset(dp, 255, sizeof(dp)); dp[tx][ty] = -2; while (!u.empty()) { for (int i = 0; i < s.length(); i++) for (int j = 0; j < u.size(); j++) { char c = s[i]; int fr = u[j].first, fc = u[j].second; for (int k = (0); k <= (3); k++) { int nx = fr + dx[k], ny = fc + dy[k]; if (a[nx][ny] != c || ~dp[nx][ny]) continue; dp[nx][ny] = k; v.push_back(make_pair(nx, ny)); if (nx == sx && ny == sy) { string ret; while (1) { k = dp[nx -= dx[k]][ny -= dy[k]]; if (nx == tx && ny == ty) break; ret += a[nx][ny]; } return ret; } } } v.swap(u); v.clear(); } return "-1"; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = (1); i <= (n); i++) { scanf("%s", a[i] + 1); for (int j = (1); j <= (m); j++) { if (a[i][j] == 'S') sx = i, sy = j; else if (a[i][j] == 'T') tx = i, ty = j; if (a[i][j] < 'a' || a[i][j] > 'z') a[i][j] = '.'; } } cout << dfs(0, k, ".") << endl; return 0; }
#include <bits/stdc++.h> int dir[4][2] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}}; char mm[64][64]; char path[2500]; int d[64][64], pre[64][64]; int n, m, K; int ans; int tx, ty, sx, sy; int st[4]; int MM; int bs[2][4][2500]; int cnt[2][4]; int mmm[32]; int valid(int x, int y) { return x >= 0 && y >= 0 && x < n && y < m && (mm[x][y] < 'a' || mmm[mm[x][y] - 'a'] >= 0) && d[x][y] == 1000000000; } void bfs(int mask) { int i, j, tail = 0, h, k, l, t, p; for (i = 0; i < n; i++) for (j = 0; j < m; j++) d[i][j] = 1000000000, pre[i][j] = -1; memset(mmm, 0xff, sizeof(mmm)); for (i = j = 0; i < 32; i++) if (mask & (1 << i)) mmm[i] = j++; d[tx][ty] = 0; for (i = 0; i < 2; i++) for (j = 0; j < 4; j++) cnt[i][j] = 0; for (i = 0; i < 4; i++) if (valid(tx + dir[i][0], ty + dir[i][1])) { d[tx + dir[i][0]][ty + dir[i][1]] = 1; pre[tx + dir[i][0]][ty + dir[i][1]] = tx << 6 | ty; k = mmm[mm[tx + dir[i][0]][ty + dir[i][1]] - 'a']; bs[1][k][cnt[1][k]++] = (tx + dir[i][0]) << 6 | (ty + dir[i][1]); } for (h = 1; d[sx][sy] == 1000000000 && cnt[h][0] + cnt[h][1] + cnt[h][2] + cnt[h][3]; h = !h) { cnt[!h][0] = cnt[!h][1] = cnt[!h][2] = cnt[!h][3] = 0; for (k = 0; k < 4; k++) for (l = 0; l < cnt[h][k]; l++) { i = bs[h][k][l] >> 6, j = bs[h][k][l] & 63; for (t = 0; t < 4; t++) if (valid(i + dir[t][0], j + dir[t][1])) { d[i + dir[t][0]][j + dir[t][1]] = d[i][j] + 1; pre[i + dir[t][0]][j + dir[t][1]] = i << 6 | j; p = mmm[mm[i + dir[t][0]][j + dir[t][1]] - 'a']; bs[!h][p][cnt[!h][p]++] = (i + dir[t][0]) << 6 | (j + dir[t][1]); } } } if (d[sx][sy] == 1000000000 || d[sx][sy] > ans) return; if (ans == d[sx][sy]) { for (i = sx, j = sy, k = 0; k < ans; k++) { if (path[k] < mm[i][j]) return; else if (path[k] > mm[i][j]) break; h = pre[i][j]; i = h >> 6, j = h & 63; } } ans = d[sx][sy]; for (i = sx, j = sy, k = 0; k < ans; k++) { path[k] = mm[i][j]; h = pre[i][j]; i = h >> 6, j = h & 63; } } void dfs(int t, int b, int mask) { int i; if (t == K || mask == MM) { bfs(mask); return; } for (i = b; i < 26; i++) if (MM & 1 << i) dfs(t + 1, i + 1, mask | 1 << i); } int main() { int i, j; scanf("%d %d %d", &n, &m, &K); for (i = 0; i < n; i++) { scanf("%s", mm[i]); for (j = 0; j < m; j++) { if (mm[i][j] == 'S') sx = i, sy = j; else if (mm[i][j] == 'T') tx = i, ty = j; else MM |= 1 << (mm[i][j] - 'a'); } } if (abs(sx - tx) + abs(sy - ty) == 1) { puts(""); return 0; } ans = 1000000000; dfs(0, 0, 0); if (ans == 1000000000) puts("-1"); else { for (i = 1; i < ans; i++) putchar(path[i]); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; int H, W, K; char m[50][51]; int sx, sy, gx, gy; bool f[26]; int cs = (1 << 29); string res = ""; int d[50][50]; int dx[4] = {1, -1, 0, 0}; int dy[4] = {0, 0, 1, -1}; bool used[50][50]; void solve() { for (int(i) = 0; (i) < (H); (i)++) for (int(j) = 0; (j) < (W); (j)++) d[i][j] = (1 << 29); d[gx][gy] = 0; queue<pair<int, int> > q; q.push(make_pair(gx, gy)); while (!q.empty()) { int x = q.front().first, y = q.front().second; q.pop(); for (int(dd) = 0; (dd) < (4); (dd)++) { int nx = x + dx[dd], ny = y + dy[dd]; if (0 <= nx && nx < H && 0 <= ny && ny < W && (m[nx][ny] == 'S' || m[nx][ny] == 'T' || f[m[nx][ny] - 'a'])) { if (d[nx][ny] == (1 << 29)) { d[nx][ny] = d[x][y] + 1; q.push(make_pair(nx, ny)); } } } } if (d[sx][sy] > cs || d[sx][sy] == (1 << 29)) return; string tt = ""; vector<pair<int, int> > lis; memset((used), (0), sizeof(used)); used[sx][sy] = true; lis.push_back(make_pair(sx, sy)); for (int zan = d[sx][sy]; zan > 1; zan--) { vector<pair<int, int> > nls; char cgo = '3'; for (int(i) = 0; (i) < (lis.size()); (i)++) { int x = lis[i].first, y = lis[i].second; for (int(dd) = 0; (dd) < (4); (dd)++) { int nx = x + dx[dd], ny = y + dy[dd]; if (0 <= nx && nx < H && 0 <= ny && ny < W && d[nx][ny] == d[x][y] - 1) { if (cgo == '3') cgo = m[nx][ny]; else cgo = min(cgo, m[nx][ny]); } } } tt += cgo; for (int(i) = 0; (i) < (lis.size()); (i)++) { int x = lis[i].first, y = lis[i].second; for (int(dd) = 0; (dd) < (4); (dd)++) { int nx = x + dx[dd], ny = y + dy[dd]; if (0 <= nx && nx < H && 0 <= ny && ny < W && d[nx][ny] == d[x][y] - 1 && cgo == m[nx][ny] && !used[nx][ny]) { used[nx][ny] = true; nls.push_back(make_pair(nx, ny)); } } } lis.clear(); lis = nls; } if (d[sx][sy] == cs) res = min(res, tt); else res = tt; cs = min(cs, d[sx][sy]); } void dfs(int v, int c) { if (v == K) { solve(); } else { for (int(i) = (c); (i) < (26); (i)++) { f[i] = true; dfs(v + 1, i + 1); f[i] = false; } } } int main() { scanf("%d%d%d", &H, &W, &K); for (int(i) = 0; (i) < (H); (i)++) scanf("%s", &m[i]); for (int(i) = 0; (i) < (H); (i)++) for (int(j) = 0; (j) < (W); (j)++) { if (m[i][j] == 'S') sx = i, sy = j; if (m[i][j] == 'T') gx = i, gy = j; } dfs(0, 0); if (cs == (1 << 29)) puts("-1"); else cout << res << endl; }
#include <bits/stdc++.h> using namespace std; const int Maxk = 1005; string mul(string a, string b) { int res[Maxk]; memset(res, 0, sizeof(res)); reverse(a.begin(), a.end()); reverse(b.begin(), b.end()); for (int i = 0; i < a.length(); i++) { for (int j = 0; j < b.length(); j++) { res[i + j] += (a[i] - '0') * (b[j] - '0'); } } for (int i = 0; i < Maxk; i++) { if (res[i] >= 10) { res[i + 1] += (res[i] / 10); res[i] %= 10; } } string ret; bool flag = false; for (int i = Maxk - 1; i >= 0; i--) { if (flag || res[i]) { flag = true; ret = ret + (char)(res[i] + '0'); } } if (ret == "") ret = "0"; return ret; } string add(string a, string b) { if (a.length() < b.length()) swap(a, b); while (a.length() != b.length()) { b = '0' + b; } for (int i = a.length() - 1; i >= 0; i--) { a[i] += (b[i] - '0'); if (a[i] > '9' && i) { a[i] -= 10; a[i - 1]++; } } if (a[0] > '9') { a[0] -= 10; a = '1' + a; } return a; } inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } const int Maxn = 55; const int dx[] = {0, 0, 1, -1}; const int dy[] = {1, -1, 0, 0}; int n, m, k; int sx, sy, ex, ey; char c[Maxn][Maxn]; int now[5]; int cc[55555][5]; bool canc[Maxn][Maxn]; int d[55555][5], dd[55555][5]; int cnt, kd, kdd; int dist[Maxn][Maxn]; int val[55555]; void bfs(int x, int y) { queue<pair<int, int> > q; dist[x][y] = 0; q.push(make_pair(x, y)); while (!q.empty()) { pair<int, int> coor = q.front(); q.pop(); for (int i = 0; i < 4; i++) { pair<int, int> nx = {coor.first + dx[i], coor.second + dy[i]}; if (nx.first >= 0 && nx.second >= 0 && nx.first < n && nx.second < m && dist[nx.first][nx.second] == 20160116 && canc[nx.first][nx.second]) { dist[nx.first][nx.second] = dist[coor.first][coor.second] + 1; q.push(nx); } } } } string ans; string noww; bool vis[Maxn][Maxn]; void DD(int nx, int ny, int ex, int ey, int di) { vector<pair<int, int> > avail, tmp; avail.push_back(make_pair(nx, ny)); for (int i = di - 1; i >= 0; i--) { char Mc = 'z'; tmp.clear(); for (int j = 0; j < avail.size(); j++) { for (int kk = 0; kk < 4; kk++) { int x = avail[j].first + dx[kk], y = avail[j].second + dy[kk]; if (x >= 0 && y >= 0 && x < n && y < m && dist[x][y] == dist[avail[j].first][avail[j].second] - 1) { Mc = min(Mc, c[x][y]); } } } for (int j = 0; j < avail.size(); j++) { for (int kk = 0; kk < 4; kk++) { int x = avail[j].first + dx[kk], y = avail[j].second + dy[kk]; if (x >= 0 && y >= 0 && x < n && y < m && dist[x][y] == dist[avail[j].first][avail[j].second] - 1) { if (c[x][y] == Mc && !vis[x][y]) { vis[x][y] = true; tmp.push_back(make_pair(x, y)); } } } } avail = tmp; noww = noww + Mc; } if (ans == "" || ans > noww) { ans = noww; } } void Gao(int id) { memset(canc, false, sizeof(canc)); memset(vis, false, sizeof(vis)); for (int i = 0; i < n; ++i) { for (int j = 0; j < m; j++) { dist[i][j] = 20160116; } } canc[sx][sy] = true; canc[ex][ey] = true; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int l = 0; l < k; l++) { if (c[i][j] == dd[id][l] + 'a') { canc[i][j] = true; } } } } bfs(ex, ey); DD(sx, sy, ex, ey, dist[sx][sy]); } int check(int id) { memset(canc, false, sizeof(canc)); for (int i = 0; i < n; ++i) { for (int j = 0; j < m; j++) { dist[i][j] = 20160116; } } canc[sx][sy] = true; canc[ex][ey] = true; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int l = 0; l < k; l++) { if (c[i][j] == cc[id][l] + 'a') { canc[i][j] = true; } } } } bfs(sx, sy); if (dist[ex][ey] < 2500) return dist[ex][ey]; return 0; } void go(int lvl, int x) { if (lvl == k) { for (int i = 0; i < k; i++) { cc[cnt][i] = now[i]; } cnt++; return; } for (int i = x; i < 26; i++) { now[lvl] = i; go(lvl + 1, i + 1); } } int main() { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) { scanf("%s", c[i]); for (int j = 0; j < m; j++) { if (c[i][j] == 'S') { sx = i; sy = j; } else if (c[i][j] == 'T') { ex = i; ey = j; } } } go(0, 0); for (int i = 0; i < cnt; i++) { int tmp; if (tmp = check(i)) { for (int j = 0; j < k; j++) { d[kd][j] = cc[i][j]; } val[kd] = tmp; kd++; } } if (!kd) { printf("-1\n"); return 0; } int Mn = 20160116; for (int i = 0; i < kd; i++) { Mn = min(Mn, val[i]); } for (int i = 0; i < kd; i++) { if (val[i] == Mn) { for (int j = 0; j < k; j++) { dd[kdd][j] = d[i][j]; } kdd++; } } for (int i = 0; i < kdd; i++) { noww.clear(); Gao(i); } ans.pop_back(); printf("%s\n", ans.c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; int bcount[1 << 12]; set<pair<int, int> > done; string Map[60]; int n, m, k; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; int ex, ey; int absval(int x) { return x < 0 ? -x : x; } int dist(int ax, int ay, int bx, int by) { return absval(ax - bx) + absval(ay - by); } struct pqitem { int x, y; string S; int mask; bool operator<(const pqitem &b) const { if (S.size() + dist(x, y, ex, ey) > b.S.size() + dist(b.x, b.y, ex, ey)) return 1; if (S.size() + dist(x, y, ex, ey) < b.S.size() + dist(b.x, b.y, ex, ey)) return 0; if (S.size() + dist(x, y, ex, ey) == b.S.size() + dist(b.x, b.y, ex, ey) && S.compare(b.S) > 0) return 1; else return 0; } }; int getbcount(int m) { int ret = 0; while (m > 0) { ret += bcount[m & ((1 << 10) - 1)]; m >>= 10; } return ret; } int main() { for (int i = 1; i <= (1 << 10); i++) bcount[i] = bcount[i / 2] + (i & 1 ? 1 : 0); cin >> n >> m >> k; for (int i = 0; i < n; i++) cin >> Map[i]; int x, y; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { if (Map[i][j] == 'S') { x = i; y = j; } if (Map[i][j] == 'T') { ex = i; ey = j; } } priority_queue<pqitem> q; q.push((pqitem){x, y, "", 0}); bool found = false; while (!q.empty()) { pqitem cur = q.top(); q.pop(); if (cur.x == ex && cur.y == ey) { cout << cur.S << endl; found = true; break; } if (done.find(make_pair(cur.x * m + cur.y, cur.mask)) != done.end()) continue; done.insert(make_pair(cur.x * m + cur.y, cur.mask)); for (int d = 0; d < 4; d++) { pqitem nxt = cur; nxt.x += dx[d]; nxt.y += dy[d]; if (!(nxt.x >= 0 && nxt.x <= n - 1 && nxt.y >= 0 && nxt.y <= m - 1)) continue; if (Map[nxt.x][nxt.y] != 'T') { nxt.mask |= (1 << (Map[nxt.x][nxt.y] - 'a')); (nxt.S).push_back(Map[nxt.x][nxt.y]); } if (getbcount(nxt.mask) <= k) { q.push(nxt); } } } if (!found) printf("-1\n"); }
#include <bits/stdc++.h> using namespace std; bool cmp(string a, string b) { if (a.length() != b.length()) return a.length() < b.length(); return a < b; } struct node { int x, y, mask; string path; node() {} node(int x, int y, int m, string p) : x(x), y(y), mask(m), path(p) {} bool operator<(const node &p) const { return cmp(p.path, path); } }; char s[55][55]; set<int> vis[55][55]; int f[55][55]; int dx[4] = {1, -1, 0, 0}; int dy[4] = {0, 0, 1, -1}; string bfs(int x, int y, int k) { string res(55 * 55, 'a'); priority_queue<node> q; q.push(node(x, y, 0, "")); vis[x][y].insert(0); f[x][y] = 0; while (!q.empty()) { node u = q.top(); q.pop(); for (int i = 0; i < 4; i++) { int x = u.x + dx[i], y = u.y + dy[i]; if (!s[x][y] || s[x][y] == 'S') continue; if (s[x][y] == 'T') { if (cmp(u.path, res)) res = u.path; break; } int z = u.mask | (1 << (s[x][y] - 'a')); if (__builtin_popcount(z) > k) continue; if (vis[x][y].count(z)) continue; if (f[x][y] && (f[x][y] & z) == f[x][y]) continue; vis[x][y].insert(z); f[x][y] = z; q.push(node(x, y, z, u.path + s[x][y])); } } if (res.length() == 55 * 55) res = "-1"; return res; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%s", s[i] + 1); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (s[i][j] == 'S') { cout << bfs(i, j, k) << endl; return 0; } } }
#include <bits/stdc++.h> using namespace std; int n, m, k; char mp[60][60]; bool can[60][60]; int dist[60][60]; pair<int, int> src, trg; queue<pair<int, int> > q; vector<pair<int, int> > pos[300]; int dir[4][2] = {{-1, 0}, {1, 0}, {0, 1}, {0, -1}}; int best = 1000000000; char ans[1000000]; char tans[1000000]; pair<int, int> posi[2][1000000]; int sz[2]; void f(int rem, char st) { if (rem == 0) { memset(dist, -1, sizeof dist); while (!q.empty()) q.pop(); q.push(trg); dist[trg.first][trg.second] = 0; while (!q.empty()) { pair<int, int> tmp = q.front(); q.pop(); if (tmp == src) break; for (int i = 0; i < 4; i++) { int nr = tmp.first + dir[i][0]; int nc = tmp.second + dir[i][1]; if (nr >= 0 && nc >= 0 && nr < n && nc < m && can[nr][nc] && dist[nr][nc] == -1) { dist[nr][nc] = dist[tmp.first][tmp.second] + 1; q.push(pair<int, int>(nr, nc)); } } } int len = dist[src.first][src.second]; if (len != -1 && len <= best) { int cur = 0, nx = 1; posi[0][0] = src; sz[0] = 1; for (int i = len - 1; i >= 0; i--) { sz[nx] = 0; char mn = 'z' + 1; for (int j = 0; j < sz[cur]; j++) { for (int k = 0; k < 4; k++) { int nr = posi[cur][j].first + dir[k][0]; int nc = posi[cur][j].second + dir[k][1]; if (nr >= 0 && nc >= 0 && nr < n && nc < m && dist[nr][nc] == i) { mn = min(mn, mp[nr][nc]); } } } for (int j = 0; j < sz[cur]; j++) { for (int k = 0; k < 4; k++) { int nr = posi[cur][j].first + dir[k][0]; int nc = posi[cur][j].second + dir[k][1]; if (nr >= 0 && nc >= 0 && nr < n && nc < m && dist[nr][nc] == i && mp[nr][nc] == mn) { posi[nx][sz[nx]++] = pair<int, int>(nr, nc); } } } sort(posi[nx], posi[nx] + sz[nx]); int ptr = 0; for (int j = 0; j < sz[nx]; j++) { if (j == 0 || posi[nx][j] != posi[nx][j - 1]) posi[nx][ptr++] = posi[nx][j]; } sz[nx] = ptr; tans[len - i - 1] = mn; cur = 1 - cur, nx = 1 - nx; } bool good = true; if (best == len) { for (int i = 0; i < len; i++) if (tans[i] != ans[i]) { if (tans[i] < ans[i]) break; else good = false; } } if (good) { for (int i = 0; i < len; i++) ans[i] = tans[i]; best = len; } } return; } for (char i = st; i <= 'z'; i++) { for (int j = 0; j < pos[i].size(); j++) can[pos[i][j].first][pos[i][j].second] = true; f(rem - 1, i + 1); for (int j = 0; j < pos[i].size(); j++) can[pos[i][j].first][pos[i][j].second] = false; } } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> mp[i][j]; if (mp[i][j] == 'S') src = pair<int, int>(i, j); else if (mp[i][j] == 'T') trg = pair<int, int>(i, j); else pos[mp[i][j]].push_back(pair<int, int>(i, j)); } } can[src.first][src.second] = true; f(k, 'a'); if (best == 1000000000) cout << -1 << endl; else { ans[best - 1] = 0; puts(ans); } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:60777216") using namespace std; long long gcd(long long a, long long b) { return a == 0 ? b : gcd(b % a, a); } string filename = "test"; int n, m, k; vector<string> mapa; int dx[] = {-1, 0, 1, 0}; int dy[] = {0, 1, 0, -1}; bool allowed[26]; int ctoi(char c) { return c - 'a'; } int valid(int i, int j) { return i >= 0 && i < n && j >= 0 && j < m; } pair<int, int> Q[100000]; int D[51][51]; int main() { scanf("%d %d %d", &n, &m, &k); string tmp_str; for (int _n(n), i(0); i < _n; i++) { cin >> tmp_str; mapa.push_back(tmp_str); } pair<int, int> start, end; vector<char> all_letters; for (int _n(n), i(0); i < _n; i++) for (int _n(m), j(0); j < _n; j++) { if (mapa[i][j] == 'S') { start = pair<int, int>(i, j); } else if (mapa[i][j] == 'T') { end = pair<int, int>(i, j); } else { all_letters.push_back(mapa[i][j]); } } for (int _n(4), dir(0); dir < _n; dir++) { int nx = start.first + dx[dir], ny = start.second + dy[dir]; if (valid(nx, ny) && pair<int, int>(nx, ny) == end) { cout << "\n"; return 0; } } sort(((all_letters)).begin(), ((all_letters)).end()), (all_letters) .erase(unique(((all_letters)).begin(), ((all_letters)).end()), (all_letters).end()); int nn = all_letters.size(); int ires = -1; string sres = ""; for (int _n(k + 1), kk(1); kk < _n; kk++) { if (kk > all_letters.size()) break; unsigned int mask = (1 << kk) - 1; while (!(mask & (1 << nn))) { memset(allowed, false, sizeof(allowed)); for (int _n(nn), i(0); i < _n; i++) if (mask & (1 << i)) { allowed[ctoi(all_letters[i])] = true; } int wr = 0, rd = 0; memset(D, -1, sizeof(D)); Q[wr++] = end; D[end.first][end.second] = 0; while (rd < wr) { pair<int, int> now = Q[rd++]; for (int _n(4), dir(0); dir < _n; dir++) { int nx = now.first + dx[dir], ny = now.second + dy[dir]; if (!valid(nx, ny)) continue; if (D[nx][ny] != -1) continue; if (mapa[nx][ny] != 'T' && mapa[nx][ny] != 'S' && !allowed[ctoi(mapa[nx][ny])]) continue; D[nx][ny] = D[now.first][now.second] + 1; Q[wr++] = pair<int, int>(nx, ny); } } int ires_now = D[start.first][start.second]; if (ires_now != -1 && !(ires != -1 && ires_now > ires)) { string sres_now = ""; vector<pair<int, int> > pos[2]; int cur_index = 0; pos[cur_index].push_back(start); int d = D[start.first][start.second]; while (d != 0) { sres_now.push_back( mapa[pos[cur_index][0].first][pos[cur_index][0].second]); int next_index = cur_index ^ 1; bool exit_found = false; char min_c = (char)('z' + 1); for (int _n(pos[cur_index].size()), i(0); i < _n; i++) { for (int _n(4), dir(0); dir < _n; dir++) { int nx = pos[cur_index][i].first + dx[dir], ny = pos[cur_index][i].second + dy[dir]; if (!valid(nx, ny)) continue; if (D[nx][ny] == -1) continue; if (D[nx][ny] + 1 != d) continue; if (mapa[nx][ny] == 'T') { exit_found = true; break; } D[nx][ny] = -1; if (mapa[nx][ny] < min_c) { min_c = mapa[nx][ny]; pos[next_index].clear(); pos[next_index].push_back(pair<int, int>(nx, ny)); } else if (mapa[nx][ny] == min_c) { pos[next_index].push_back(pair<int, int>(nx, ny)); } } if (exit_found) break; } if (exit_found) break; --d; cur_index = next_index; } if (ires == -1 || ires_now < ires) { ires = ires_now; sres = sres_now; } else if (ires_now == ires && sres_now < sres) { ires = ires_now; sres = sres_now; } } int lo = mask & ~(mask - 1); int lz = (mask + lo) & ~mask; mask |= lz; mask &= ~(lz - 1); mask |= (lz / lo / 2) - 1; } } if (ires == -1) { printf("-1\n"); } else { cout << sres.substr(1) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-10; const int oo = ~0u >> 2, mo = (int)1e9 + 7; const int mn = 60, mc = 26, ml = 14, mm = 1 << ml; const int fx[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}}; int a[mn][mn]; int Cnt[mm]; int n, m, k; pair<int, int> st, ed; int Encode(pair<int, int> t) { return t.first * m + t.second; } pair<int, int> Decode(int t) { return make_pair(t / m, t % m); } int dis(pair<int, int> x, pair<int, int> y) { return abs(x.first - y.first) + abs(x.second - y.second); } int cntb(int x) { int ret = 0; while (x) ret += Cnt[x & (mm - 1)], x >>= ml; return ret; } struct Node { string path; int col, posi; Node(string _path, int _col, int _posi) { path = _path, col = _col, posi = _posi; } long long Encode() { return (long long)col * 10000 + posi; } bool operator<(const Node &p) const { pair<int, int> p1 = Decode(posi), p2 = Decode(p.posi); int d1 = (int)path.length() + dis(p1, ed); int d2 = (int)p.path.length() + dis(p2, ed); if (d1 != d2) return d1 > d2; return path > p.path; } }; priority_queue<Node> Q; set<long long> dup; bool okay(0); int main() { for (int i = (1); i <= (mm - 1); ++i) Cnt[i] = __builtin_popcount(i); cin >> n >> m >> k; for (int i = (0); i <= (n - 1); ++i) for (int j = (0); j <= (m - 1); ++j) { char ch; do { scanf("%c", &ch); } while ((ch < 'a' || ch > 'z') && ch != 'S' && ch != 'T'); if (ch == 'S') st = make_pair(i, j), a[i][j] = mc; else if (ch == 'T') ed = make_pair(i, j), a[i][j] = mc + 1; else a[i][j] = ch - 'a'; } Q.push(Node("", 0, Encode(st))); while (!Q.empty() && !okay) { Node Now = Q.top(); Q.pop(); pair<int, int> P = Decode(Now.posi); if (a[P.first][P.second] > mc) { cout << Now.path << endl; okay = 1; break; } if (dup.find(Now.Encode()) != dup.end()) continue; dup.insert(Now.Encode()); for (int i = (0); i <= (3); ++i) { pair<int, int> p = P; p.first += fx[i][0], p.second += fx[i][1]; if (p.first < 0 || p.first >= n || p.second < 0 || p.second >= m) continue; if (a[p.first][p.second] == mc) continue; string np = Now.path; int col = Now.col; if (a[p.first][p.second] < mc) np += char('a' + a[p.first][p.second]), col |= 1 << a[p.first][p.second]; Node tmp = Node(np, col, Encode(p)); if (cntb(tmp.col) > k) continue; Q.push(tmp); } } if (!okay) cout << -1 << endl; }
#include <bits/stdc++.h> using namespace std; template <class T> T abs(T x) { return x > 0 ? x : -x; } int n; int m, k; int si, sj, ti, tj; int was[50][50]; string g[50], res[50][50]; pair<int, int> q[2500]; int x[50][50]; int can[27]; string ANS; int ans; int go() { for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { was[i][j] = 0; } can[26] = 1; int l = 0, r = 1; q[0] = make_pair(si, sj); was[si][sj] = 1; while (l < r) { int i = q[l].first; int j = q[l].second; if (i == ti && j == tj) break; l++; for (int t = 0; t < 4; t++) { int ni = i + int(t == 0) - int(t == 1); int nj = j + int(t == 2) - int(t == 3); if (ni >= 0 && nj >= 0 && ni < n && nj < m && can[x[ni][nj]]) { if (!was[ni][nj]) { was[ni][nj] = was[i][j] + 1; q[r++] = make_pair(ni, nj); } } } } if (!was[ti][tj] || was[ti][tj] > ans) return 0; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) res[i][j] = ""; was[si][sj] = 1; res[si][sj] = "S"; for (int l = 0; l < r; l++) { int i = q[l].first; int j = q[l].second; if (i == ti && j == tj) break; for (int t = 0; t < 4; t++) { int ni = i + int(t == 0) - int(t == 1); int nj = j + int(t == 2) - int(t == 3); if (ni >= 0 && nj >= 0 && ni < n && nj < m && can[x[ni][nj]] && was[ni][nj] == was[i][j] + 1) { string tmp = res[i][j] + g[ni][nj]; if (res[ni][nj] == "" || res[ni][nj] > tmp) res[ni][nj] = tmp; } } } if (was[ti][tj] < ans) { ans = was[ti][tj]; ANS = res[ti][tj]; } else if (was[ti][tj] == ans) ANS = min(ANS, res[ti][tj]); return 0; } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) cin >> g[i]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (g[i][j] == 'S') { x[i][j] = 26; si = i; sj = j; } else if (g[i][j] == 'T') { x[i][j] = 26; ti = i; tj = j; } else x[i][j] = g[i][j] - 'a'; ans = 1e9; ANS = ""; for (int a = 0; a < 26; a++) { can[a] = 1; if (k == 1) go(); else for (int b = a + 1; b < 26; b++) { can[b] = 1; if (k == 2) go(); else for (int c = b + 1; c < 26; c++) { can[c] = 1; if (k == 3) go(); else for (int d = c + 1; d < 26; d++) { can[d] = 1; go(); can[d] = 0; } can[c] = 0; } can[b] = 0; } can[a] = 0; } if (ANS == "") printf("-1\n"); else printf("%s\n", ANS.substr(1, ((int)(ANS).size()) - 2).c_str()); return 0; }
#include <bits/stdc++.h> using namespace std; const int a1[4] = {0, 0, 1, -1}, a2[4] = {1, -1, 0, 0}; struct ww { int x, y; inline bool operator==(const ww &A) { return x == A.x && y == A.y; } } S, T, g[60 * 60]; struct w { int a[15]; int len; inline bool operator<(const w &A) { if (len < A.len) return 1; if (len > A.len) return 0; int i; for (i = len / 15; i >= 0; i--) { if (a[i] < A.a[i]) return 1; if (a[i] > A.a[i]) return 0; } return 1; } } gg[60][60]; struct Ans { int len; char p[100]; inline bool operator<(const Ans &A) { if (len < A.len) return 1; if (len > A.len) return 0; int i; for (i = 1; i <= len; i++) { if (p[i] < A.p[i]) return 1; if (p[i] > A.p[i]) return 0; } return 1; } inline void print() { if (len == 100) printf("-1\n"); else { int i; for (i = 1; i <= len; i++) printf("%c", p[i]); printf("\n"); } } } an; int i, j, k, n, m, K; int id[60], a[60]; char p[60][60], re[100]; inline void into(w &A, int B) { int a1 = A.len / 15, a2 = A.len % 15; A.len++; A.a[a1] |= B << (2 * a2); } inline void work() { int i, j, l, r; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) gg[i][j].len = 1000; g[l = r = 1] = T; gg[T.x][T.y].len = 0; for (i = 0; i <= 14; i++) gg[T.x][T.y].a[i] = 0; for (; l <= r; l++) { ww A = g[l]; if (A == S) break; for (i = 0; i <= 3; i++) { int x = A.x + a1[i], y = A.y + a2[i]; ww asd = {x, y}; if (x && y && x <= n && y <= m) { int B = id[p[x][y] - 'a' + 1]; if (!(asd == S) && !B) continue; w C = gg[A.x][A.y]; if (!(asd == S)) into(C, B - 1); if (C < gg[x][y]) { if (gg[x][y].len == 1000) g[++r] = asd; gg[x][y] = C; } } } } if (l > r) return; w res = gg[S.x][S.y]; if (res.len > an.len) return; Ans ans = {}; for (i = res.len - 1; i >= 0; i--) { int A = i / 15, B = i % 15; int C = (res.a[A] >> (2 * B)) & 3; ans.p[++ans.len] = 'a' + a[C + 1] - 1; } if (ans < an) an = ans; } void dfs(int x, int y) { if (x > K) { work(); return; } int i; for (i = y + 1; i <= 26; i++) { id[i] = x; a[x] = i; dfs(x + 1, i); id[i] = 0; } } int main() { scanf("%d%d%d", &n, &m, &K); for (i = 1; i <= n; i++) scanf("%s", p[i] + 1); for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) { if (p[i][j] == 'S') S = (ww){i, j}; if (p[i][j] == 'T') T = (ww){i, j}; } an.len = 100; dfs(1, 0); an.print(); return 0; }
#include <bits/stdc++.h> using namespace std; template <class F, class T> T convert(F a, int p = -1) { stringstream ss; if (p >= 0) ss << fixed << setprecision(p); ss << a; T r; ss >> r; return r; } template <class T> void db(T a, int p = -1) { if (p >= 0) cout << fixed << setprecision(p); cout << a << " "; } template <class T> T gcd(T a, T b) { T r; while (b != 0) { r = a % b; a = b; b = r; } return a; } template <class T> T lcm(T a, T b) { return a / gcd(a, b) * b; } template <class T> T sqr(T x) { return x * x; } template <class T> T cube(T x) { return x * x * x; } template <class T> struct Triple { T x, y, z; Triple() {} Triple(T _x, T _y, T _z) : x(_x), y(_y), z(_z) {} }; template <class T> Triple<T> euclid(T a, T b) { if (b == 0) return Triple<T>(1, 0, a); Triple<T> r = euclid(b, a % b); return Triple<T>(r.y, r.x - a / b * r.y, r.z); } template <class T> int getbit(T s, int i) { return (s >> i) & 1; } template <class T> T onbit(T s, int i) { return s | (T(1) << i); } template <class T> T offbit(T s, int i) { return s & (~(T(1) << i)); } template <class T> int cntbit(T s) { return s == 0 ? 0 : cntbit(s >> 1) + (s & 1); } const int bfsz = 1 << 16; char bf[bfsz + 5]; int rsz = 0; int ptr = 0; char gc() { if (rsz <= 0) { ptr = 0; rsz = fread(bf, 1, bfsz, stdin); if (rsz <= 0) return EOF; } --rsz; return bf[ptr++]; } void ga(char &c) { c = EOF; while (!isalpha(c)) c = gc(); } int gs(char s[]) { int l = 0; char c = gc(); while (isspace(c)) c = gc(); while (c != EOF && !isspace(c)) { s[l++] = c; c = gc(); } s[l] = '\0'; return l; } template <class T> bool gi(T &v) { v = 0; char c = gc(); while (c != EOF && c != '-' && !isdigit(c)) c = gc(); if (c == EOF) return false; bool neg = c == '-'; if (neg) c = gc(); while (isdigit(c)) { v = v * 10 + c - '0'; c = gc(); } if (neg) v = -v; return true; } const double PI = 2 * acos(0); const string months[] = {"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"}; const int days[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int dr[] = {-1, 0, +1, 0}; const int dc[] = {0, +1, 0, -1}; const int inf = (int)1e9 + 5; const long long linf = (long long)1e16 + 5; const double eps = 1e-9; const long long mod = 100000007; int n, m, k; int a[5]; string kq, s[55]; int lenkq = inf, rs, cs, rf, cf; pair<int, int> back[55][55]; bool cmp(pair<int, int> const &A, pair<int, int> const &B) { return s[A.first][A.second] < s[B.first][B.second]; } bool thoaman(int r, int c) { if (r >= 0 && r < n && c >= 0 && c < m) { if (s[r][c] == 'T') return true; for (typeof(k) i = 0; i < (k); ++i) if (a[i] == s[r][c] - 'a') return true; return false; } return false; } string reverse(string x) { string res = ""; for (int i = x.length() - 1; i >= 0; i--) res.push_back(x[i]); return res; } void cal() { int f[55][55], r, c, rr, cc; memset(f, -1, sizeof(f)); f[rs][cs] = 0; vector<pair<int, int> > que[55 * 55]; pair<int, int> temp[55 * 55]; int num; int size = 0; que[size++].push_back(make_pair(rs, cs)); for (typeof(size) i = 0; i < (size); ++i) { num = 0; for (typeof(((int)(que[i]).size())) j = 0; j < (((int)(que[i]).size())); ++j) { r = que[i][j].first; c = que[i][j].second; for (typeof(4) t = 0; t < (4); ++t) { rr = r + dr[t]; cc = c + dc[t]; if (thoaman(rr, cc)) { if (f[rr][cc] == -1) { f[rr][cc] = f[r][c] + 1; back[rr][cc] = make_pair(r, c); temp[num++] = make_pair(rr, cc); } } } } sort(temp, temp + num, cmp); que[size].push_back(temp[0]); for (typeof(num - 1) j = (1); j <= (num - 1); ++j) { if (cmp(temp[j - 1], temp[j])) { size++; que[size].push_back(temp[j]); } else que[size].push_back(temp[j]); } if (num > 0) size++; } if (f[rf][cf] == -1) return; r = back[rf][cf].first; c = back[rf][cf].second; string res = ""; while (r != rs || c != cs) { res.push_back(s[r][c]); rr = back[r][c].first; cc = back[r][c].second; r = rr; c = cc; } res = reverse(res); if (res.length() < lenkq || (res.length() == lenkq && res.compare(kq) < 0)) { kq = res; lenkq = res.length(); } } void go(int id, int x) { if (id == k) { cal(); return; } for (typeof(25) i = (x); i <= (25); ++i) { a[id] = i; go(id + 1, i + 1); } } int main() { cin >> n >> m >> k; for (typeof(n) i = 0; i < (n); ++i) { cin >> s[i]; for (typeof(m) j = 0; j < (m); ++j) { if (s[i][j] == 'S') { rs = i; cs = j; } if (s[i][j] == 'T') { rf = i; cf = j; } } } go(0, 0); if (lenkq >= inf) { printf("-1"); return 0; } cout << kq; }
#include <bits/stdc++.h> using namespace std; int m, n, k, xs, ys, xt, yt, l[55][55], len; char s[55][55], c[4], d[55][55][2505], out[2505]; bool b[300], v[55][55]; bool check(char C) { for (int i = 0; i < k; i++) if (C == c[i]) return true; return false; } int q[2505], rq, wq; bool f1(int i, int j) { return strcmp(d[i / n][i % n], d[j / n][j % n]) < 0; } void pro(int X, int Y, int L, char *D) { if ((0 <= X) && (X < m) && (0 <= Y) && (Y < n) && (check(s[X][Y])) && (v[X][Y])) { v[X][Y] = false; l[X][Y] = L; strcpy(d[X][Y], D); d[X][Y][l[X][Y]] = s[X][Y]; l[X][Y]++; d[X][Y][l[X][Y]] = '\0'; q[wq++] = X * n + Y; } } void bfs() { for (int i = 0; i < m; i++) for (int j = 0; j < n; j++) l[i][j] = 250000; memset(v, true, sizeof(v)); rq = wq = 0; l[xs][ys] = 0; strcpy(d[xs][ys], ""); v[xs][ys] = false; q[wq++] = xs * n + ys; s[xt][yt] = c[0]; while (rq != wq) { if ((rq != 0) && (l[q[rq] / n][q[rq] % n] != l[q[rq - 1] / n][q[rq - 1] % n])) sort(q + rq, q + wq, f1); int X = q[rq] / n; int Y = q[rq] % n; int L = l[X][Y]; char D[2505]; strcpy(D, d[X][Y]); if ((X == xt) && (Y == yt)) { if ((L < len) || ((L == len) && (strcmp(D, out) < 0))) { len = L; strcpy(out, D); } break; } if (L > len) break; pro(X - 1, Y, L, D); pro(X + 1, Y, L, D); pro(X, Y - 1, L, D); pro(X, Y + 1, L, D); rq++; } } void dfs(int z, int x) { if (z == k) { bfs(); } else { for (int i = x; i <= 'z'; i++) { if (b[i]) { c[z] = i; dfs(z + 1, i + 1); } } } } int main() { scanf("%d%d%d", &m, &n, &k); memset(b, false, sizeof(b)); for (int i = 0; i < m; i++) { scanf("%s", s[i]); for (int j = 0; j < n; j++) { if (s[i][j] == 'S') { xs = i; ys = j; } else if (s[i][j] == 'T') { xt = i; yt = j; } else { b[s[i][j]] = true; } } } b['w'] = b['x'] = b['y'] = b['z'] = true; len = 25000; dfs(0, 'a'); if (len == 25000) { printf("-1\n"); } else { out[--len] = '\0'; printf("%s\n", out); } return 0; }
#include <bits/stdc++.h> using namespace std; int lx, ly, lk; char maze[55][55]; map<pair<int, int>, bool> vis; int sx, sy; int ex, ey; inline int ABS(int x) { return x < 0 ? -x : x; } inline int h(int x, int y) { return ABS(ex - x) + ABS(ey - y); } struct S { int x, y, t, m; char path[500]; S() {} S(int _x, int _y, int _t, int _m, char tpath[]) : x(_x), y(_y), t(_t), m(_m) { strcpy(path, tpath); } friend bool operator<(const S& a, const S& b) { int ha = h(a.x, a.y), hb = h(b.x, b.y); if (ha + a.t != hb + b.t) return ha + a.t > hb + b.t; return strcmp(a.path, b.path) > 0; } }; int dir[4][2] = {{1, 0}, {0, 1}, {0, -1}, {-1, 0}}; char path[500]; inline int CB(int x) { int cnt = 0; while (x) { x &= (x - 1); cnt++; } return cnt; } char tpath[500]; void bfs() { vis.clear(); priority_queue<S> que; tpath[0] = 0; que.push(S(sx, sy, 0, 0, tpath)); while (!que.empty()) { S u = que.top(); que.pop(); if (vis[make_pair(u.x * 55 + u.y, u.m)]) continue; vis[make_pair(u.x * 55 + u.y, u.m)] = true; for (int i = 0; i < 4; i++) { int vx = u.x + dir[i][0]; int vy = u.y + dir[i][1]; if (vx < 0 || vx >= lx) continue; if (vy < 0 || vy >= ly) continue; if (maze[vx][vy] == 'S') continue; if (maze[vx][vy] == 'T') { puts(u.path); return; } int mask = u.m; mask |= 1 << (maze[vx][vy] - 'a'); if (CB(mask) > lk) continue; strcpy(tpath, u.path); int len = strlen(tpath); tpath[len] = maze[vx][vy]; tpath[len + 1] = 0; que.push(S(vx, vy, u.t + 1, mask, tpath)); } } puts("-1"); } int main() { while (~scanf("%d%d%d", &lx, &ly, &lk)) { for (int i = 0; i < lx; i++) { scanf("%s", maze[i]); for (int j = 0; j < ly; j++) { if (maze[i][j] == 'S') { sx = i; sy = j; } else if (maze[i][j] == 'T') { ex = i; ey = j; } } } bfs(); } }
#include <bits/stdc++.h> using namespace std; using vi = vector<int>; using vvi = vector<vi>; using ii = pair<int, int>; using vii = vector<ii>; using l = long long; using vl = vector<l>; using vvl = vector<vl>; using ll = pair<l, l>; using vll = vector<ll>; using vvll = vector<vll>; using lu = unsigned long long; using vb = vector<bool>; using vvb = vector<vb>; using vd = vector<double>; using vvd = vector<vd>; const int INF = numeric_limits<int>::max(); const double EPS = 1e-10; const l e0 = 1, e5 = 100000, e6 = 1000000, e7 = 10000000, e9 = 1000000000; const bool enable_log = false; struct VoidStream { void operator&(std::ostream&) {} }; const l dx[] = {0, 0, 1, -1}; const l dy[] = {-1, 1, 0, 0}; struct point { l x, y; }; const l Z = 26; const l MAX = 50; point start, finish; l n, m, k; l around_start, around_finish; l shortest; string answer; l D[MAX][MAX]; vector<string> M; bool fit(l x, l y) { return (x >= 0) and (x < n) and (y >= 0) and (y < m); } l to_bit(char c) { return e0 << (c - 'a'); } void check(l mask) { if ((mask & around_finish) == 0) return; fill(&D[0][0], &D[MAX][0], 0); queue<point> q; q.emplace(finish); D[finish.x][finish.y] = 1; while (not q.empty()) { auto u = q.front(); q.pop(); l r = D[u.x][u.y]; if (r > shortest) return; for (l d = 0; d < 4; d++) { l x = u.x + dx[d], y = u.y + dy[d]; if ((not fit(x, y)) or D[x][y] != 0) continue; if (M[x][y] == 'S') { string candidate = ""; vector<point> wave; wave.push_back({x, y}); for (l i = r; i > 1; i--) { vector<point> next; char c = 'z' + 1; for (const auto p : wave) { for (l j = 0; j < 4; j++) { l a = p.x + dx[j], b = p.y + dy[j]; if ((not fit(a, b)) or (D[a][b] != i)) continue; D[a][b] = -1; if (M[a][b] < c) { next.clear(); c = M[a][b]; } if (M[a][b] == c) next.push_back({a, b}); } } candidate += c; swap(next, wave); } if (r < shortest) { answer = candidate; shortest = r; } else if (candidate < answer) { answer = candidate; } return; } if (mask & to_bit(M[x][y])) { D[x][y] = r + 1; q.push({x, y}); } else { D[x][y] = -1; } } } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); while (cin >> n >> m >> k) { shortest = INF; M.resize(n); for (l i = 0; i < n; i++) cin >> M[i]; l mask = 0; for (l i = 0; i < n; i++) { for (l j = 0; j < m; j++) { if (M[i][j] == 'S') { start = {i, j}; continue; } if (M[i][j] == 'T') { finish = {i, j}; continue; } mask = mask | to_bit(M[i][j]); } } around_start = 0; for (l d = 0; d < 4; d++) { if (fit(start.x + dx[d], start.y + dy[d])) { if (M[start.x + dx[d]][start.y + dy[d]] == 'T') { shortest = 0; break; } around_start = around_start | to_bit(M[start.x + dx[d]][start.y + dy[d]]); } } if (shortest == 0) { cout << '\n'; continue; } around_finish = 0; for (l d = 0; d < 4; d++) { if (fit(finish.x + dx[d], finish.y + dy[d])) around_finish = around_finish | to_bit(M[finish.x + dx[d]][finish.y + dy[d]]); } for (l a = 0; a < Z; a++) { if ((around_start & (e0 << a)) == 0) continue; check(e0 << a); if (k == 1) continue; for (l b = 0; b < Z; b++) { if ((b == a) or ((mask & (e0 << b)) == 0)) continue; check((e0 << a) | (e0 << b)); if (k == 2) continue; for (l c = b + 1; c < Z; c++) { if ((c == a) or ((mask & (e0 << c)) == 0)) continue; check((e0 << a) | (e0 << b) | (e0 << c)); if (k == 3) continue; for (l d = c + 1; d < Z; d++) { if ((d == a) or ((mask & (e0 << d)) == 0)) continue; check((e0 << a) | (e0 << b) | (e0 << c) | (e0 << d)); } } } } if (shortest == INF) { cout << "-1\n"; } else { cout << answer << '\n'; } } }
#include <bits/stdc++.h> using namespace std; template <class T> class Tqueue { public: Tqueue() { h = 0; t = 0; sz = 0; } Tqueue(int n) { Tqueue(); resize(n); } void resize(int n) { if (sz > 0) free(data); data = (T *)malloc(sizeof(T) * (n + 1)); sz = n + 1; h = t = 0; } T front() { return data[h]; } T back() { return data[t - 1]; } int size() { int res = t - h; if (res < 0) res += sz; return res; } int empty() { return h == t; } void pop() { h++; if (h == sz) h = 0; } void push(T x) { data[t++] = x; if (t == sz) t = 0; } ~Tqueue() { if (sz > 0) { free(data); sz = 0; } } private: T *data; int h, t, sz; }; const string name = "c"; const int NMAX = 52; const int KMAX = 5; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; int n, m, k; int sx, sy, tx, ty, dist[NMAX][NMAX]; char s[NMAX][NMAX], num[KMAX]; bool may[256]; string ans; bool good(int x, int y) { return (x >= 0 && x < n && y >= 0 && y < m && may[s[x][y]]); } vector<pair<int, int> > tmp, now; int used[NMAX][NMAX]; Tqueue<pair<int, int> > q(NMAX *NMAX); void solve() { memset(may, 0, sizeof(may)); may['S'] = may['T'] = true; for (int i = 0; i < (int)k; i++) may[num[i]] = true; q.push(make_pair(tx, ty)); memset(dist, 255, sizeof(dist)); dist[tx][ty] = 0; while (!q.empty()) { int x = q.front().first, y = q.front().second; q.pop(); for (int i = 0; i < (int)4; i++) if (dist[x + dx[i]][y + dy[i]] == -1 && good(x + dx[i], y + dy[i])) { dist[x + dx[i]][y + dy[i]] = dist[x][y] + 1; q.push(make_pair(x + dx[i], y + dy[i])); } } if (dist[sx][sy] == -1) return; now.clear(); now.push_back(make_pair(sx, sy)); string res = ""; memset(used, 0, sizeof(used)); for (int i = dist[sx][sy] - 1; i >= 0; --i) { tmp.clear(); char min_c = num[k - 1]; for (int j = 0; j < (int)now.size(); j++) { int xx, yy, x = now[j].first, y = now[j].second; for (int f = 0; f < (int)4; f++) { xx = x + dx[f], yy = y + dy[f]; if (good(xx, yy) && dist[xx][yy] == dist[x][y] - 1) min_c = min(min_c, s[xx][yy]); } } for (int j = 0; j < (int)now.size(); j++) { int xx, yy, x = now[j].first, y = now[j].second; for (int f = 0; f < (int)4; f++) { xx = x + dx[f], yy = y + dy[f]; if (good(xx, yy) && dist[xx][yy] == dist[x][y] - 1 && !used[xx][yy] && s[xx][yy] == min_c) { tmp.push_back(make_pair(xx, yy)); used[xx][yy] = true; } } } now = tmp; if (i) res += min_c; } if (ans.length() > res.length()) ans = res; if (ans.length() == res.length()) ans = min(ans, res); } void gen(int pos, char ch) { if (pos == k) { solve(); return; } if (ch > 'z') return; gen(pos, ch + 1); num[pos] = ch; gen(pos + 1, ch + 1); } char c[NMAX][NMAX]; int main() { cin >> n >> m >> k; for (int i = 0; i < (int)n; i++) cin >> s[i]; for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)m; j++) { if (s[i][j] == 'S') sx = i, sy = j; if (s[i][j] == 'T') tx = i, ty = j; } ans = ""; for (int i = 0; i < (int)n * m + 1; i++) ans += "@"; gen(0, 'a'); if (ans[0] == '@') cout << -1 << endl; else cout << ans.data() << endl; cerr << clock() << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXn = 50 + 10, MAXk = 5; char ch[MAXn][MAXn], sal[MAXk]; string ans; int n, m, k, dx[4] = {0, 0, 1, -1}, dy[4] = {1, -1, 0, 0}; string dis[MAXn][MAXn]; bool flag[MAXn][MAXn]; pair<int, int> S, T; bool cmp(string &s1, string &s2) { if (s1.empty() || s2.empty()) return s2.empty(); if (s1.size() != s2.size()) return s1.size() < s2.size(); return s1 < s2; } bool isok(int x, int y) { bool smt = false; for (int i = 1; i <= k; i++) if (ch[x][y] == sal[i]) smt = true; return (smt || ch[x][y] == 'T') && min(x, y) >= 0 && x < n && y < m; } void bfs() { for (int i = 0; i < MAXn; i++) for (int j = 0; j < MAXn; j++) { dis[i][j].clear(); flag[i][j] = false; } vector<pair<int, int> > vec; vec.push_back(S); flag[S.first][S.second] = true; for (int i = 0; i < vec.size();) for (int j = vec.size(); i < j; i++) { int x = vec[i].first, y = vec[i].second; string hp = dis[x][y]; if (pair<int, int>(x, y) == T) { if (cmp(hp, ans)) ans = hp; return; } hp += ch[x][y]; for (int z = 0; z < 4; z++) { int tmpx = x + dx[z], tmpy = y + dy[z]; if (isok(tmpx, tmpy) && cmp(hp, dis[tmpx][tmpy])) { dis[tmpx][tmpy] = hp; if (!flag[tmpx][tmpy]) { flag[tmpx][tmpy] = true; vec.push_back(pair<int, int>(tmpx, tmpy)); } } } } } void makeit(int a, int b) { if (b == 0) { bfs(); return; } for (int i = 0; i < a; i++) { sal[b] = 'a' + i; makeit(i, b - 1); } } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { cin >> ch[i][j]; if (ch[i][j] == 'S') S = pair<int, int>(i, j); if (ch[i][j] == 'T') T = pair<int, int>(i, j); } makeit(26, k); if (ans.empty()) return cout << -1, 0; for (int i = 1; i < ans.size(); i++) cout << ans[i]; }
#include <bits/stdc++.h> using namespace std; const string filename = "TRACK"; int n, m, k; char a[61][61]; bool mark[61]; int d1[61][61]; int d2[61][61]; int dx[4] = {-1, 0, 1, 0}; int dy[4] = {0, 1, 0, -1}; int res_d = 1e9; int sx, sy; int tx, ty; string res; vector<pair<int, int> > tmp1; vector<pair<int, int> > tmp2; queue<pair<int, int> > CurrList; void bfs() { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) d1[i][j] = d2[i][j] = 1e9; int min_d = 1e9; string cur; CurrList.push(pair<int, int>(tx, ty)); d2[tx][ty] = 0; while (!CurrList.empty()) { int x = CurrList.front().first; int y = CurrList.front().second; CurrList.pop(); if (x == sx && y == sy) min_d = d2[x][y]; for (int i = 0; i < 4; i++) { int xx = x + dx[i]; int yy = y + dy[i]; if (1 <= xx && xx <= n && 1 <= yy && yy <= m) { if (a[xx][yy] == 'S' || mark[a[xx][yy] - 'a' + 1]) { if (d2[x][y] + 1 < d2[xx][yy]) { d2[xx][yy] = d2[x][y] + 1; CurrList.push(pair<int, int>(xx, yy)); } } } } } if (min_d == 1e9) return; tmp1.clear(); tmp2.clear(); tmp1.push_back(pair<int, int>(sx, sy)); d1[sx][sy] = 0; for (int z = 1; z <= min_d; z++) { tmp2.clear(); char tmp = 'z' + 1; for (int i = 0; i < tmp1.size(); i++) { int x = tmp1[i].first; int y = tmp1[i].second; if (x == tx && y == ty) break; for (int j = 0; j < 4; j++) { int xx = x + dx[j]; int yy = y + dy[j]; if (1 <= xx && xx <= n && 1 <= yy && yy <= m) { if (a[xx][yy] == 'T' || mark[a[xx][yy] - 'a' + 1]) { if ((d1[x][y] + 1 + d2[xx][yy] == min_d) && d1[xx][yy] == 1e9) { d1[xx][yy] = d1[x][y] + 1; if (a[xx][yy] < tmp) { tmp2.clear(); tmp2.push_back(pair<int, int>(xx, yy)); tmp = a[xx][yy]; } else if (a[xx][yy] == tmp) tmp2.push_back(pair<int, int>(xx, yy)); } } } } } cur += tmp; tmp1 = tmp2; tmp2.clear(); } if (min_d < res_d || (min_d == res_d && cur < res)) { res_d = min_d; res = cur; } } void query(int cur, int used) { if (used <= k) bfs(); if (used == k) return; for (int i = cur; i <= 26; i++) { mark[i] = true; query(i + 1, used + 1); mark[i] = false; } } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m >> k; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { cin >> a[i][j]; if (a[i][j] == 'S') sx = i, sy = j; else if (a[i][j] == 'T') tx = i, ty = j; } query(1, 0); if (res_d == 1e9) cout << -1; else { res.pop_back(); cout << res; } }
#include <bits/stdc++.h> using namespace std; template <typename T> inline T qmin(const T &a, const T &b) { return a < b ? a : b; } template <typename T> inline T qmax(const T &a, const T &b) { return a > b ? a : b; } template <typename T> inline void getmin(T &a, const T &b) { if (a > b) a = b; } template <typename T> inline void getmax(T &a, const T &b) { if (a < b) a = b; } inline void fileio(string s) { freopen((s + ".in").c_str(), "r", stdin); freopen((s + ".out").c_str(), "w", stdout); } const int inf = 1e9 + 7; const int N = 51, M = 2953; const int go[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; char g[N][N]; int tp[N][N]; map<int, int> id; int mask[M], cnt; int dis[N][N][M]; bool vis[N][N][M], can[N][N][M]; int ans[N][N][M]; vector<pair<pair<int, int>, int> > to[N][N][M]; int n, m, k, sti, stj, edi, edj; inline void bfs() { static queue<pair<pair<int, int>, int> > q; static int st, ed; dis[sti][stj][1] = 1; q.push(make_pair(make_pair(sti, stj), 1)); while (!q.empty()) { pair<pair<int, int>, int> p = q.front(); q.pop(); int i = p.first.first, j = p.first.second, comb = mask[p.second]; if (dis[i][j][p.second] == dis[edi][edj][1]) break; comb |= (~tp[i][j] ? 1 << tp[i][j] : 0); for (register int d = 0; d < (4); ++d) { int ni = i + go[d][0], nj = j + go[d][1]; if (ni < 1 || ni > n || nj < 1 || nj > m || (ni == sti && nj == stj)) continue; int ncomb = comb; if (~tp[ni][nj]) { ncomb &= ~(1 << tp[ni][nj]); if (__builtin_popcount(ncomb) >= k) continue; } else { ncomb = 0; } int cid = id[ncomb]; if (dis[ni][nj][cid]) { if (dis[ni][nj][cid] == dis[i][j][p.second] + 1) to[i][j][p.second].push_back(make_pair(make_pair(ni, nj), cid)); continue; } dis[ni][nj][cid] = dis[i][j][p.second] + 1; q.push(make_pair(make_pair(ni, nj), cid)); to[i][j][p.second].push_back(make_pair(make_pair(ni, nj), cid)); } } } inline bool cmp(const pair<pair<int, int>, int> &a, const pair<pair<int, int>, int> &b) { pair<int, int> p = a.first, q = b.first; if (g[p.first][p.second] != g[q.first][q.second]) return g[p.first][p.second] < g[q.first][q.second]; if (p.first == edi && p.second == edj) return false; return cmp(to[p.first][p.second][a.second][ans[p.first][p.second][a.second]], to[q.first][q.second][b.second][ans[q.first][q.second][b.second]]); } inline void dfs(int i, int j, int k) { if (vis[i][j][k]) return; vis[i][j][k] = true; if (i == edi && j == edj) { can[i][j][k] = true; return; } vector<pair<int, int> > nxt; for (register int d = 0; d < (to[i][j][k].size()); ++d) { pair<pair<int, int>, int> p = to[i][j][k][d]; int ni = p.first.first, nj = p.first.second, nk = p.second; nxt.push_back(make_pair(tp[ni][nj], d)); } sort(nxt.begin(), nxt.end()); for (int id1 = 0, id2; id1 < nxt.size(); id1 = id2) { int bst = -1; for (id2 = id1; id2 < nxt.size() && nxt[id2].first == nxt[id1].first; ++id2) { pair<pair<int, int>, int> p = to[i][j][k][nxt[id2].second]; dfs(p.first.first, p.first.second, p.second); if (can[p.first.first][p.first.second][p.second]) { if (bst == -1 || cmp(p, to[i][j][k][bst])) bst = nxt[id2].second; } } if (~bst) { can[i][j][k] = true; ans[i][j][k] = bst; return; } } } inline void getans(pair<pair<int, int>, int> a) { pair<int, int> p = a.first; if (p.first == edi && p.second == edj) return; if (p.first != sti || p.second != stj) putchar(g[p.first][p.second]); getans(to[p.first][p.second][a.second][ans[p.first][p.second][a.second]]); } int main() { scanf("%d%d%d", &n, &m, &k); for (register int i = (1); i <= (n); ++i) { scanf("%s", g[i] + 1); for (register int j = (1); j <= (m); ++j) { if (g[i][j] == 'S') { tp[i][j] = -1; sti = i, stj = j; } else if (g[i][j] == 'T') { tp[i][j] = -1; edi = i, edj = j; } else { tp[i][j] = g[i][j] - 'a'; } } } id[0] = ++cnt; mask[cnt] = 0; for (register int i = (1); i <= (k - 1); ++i) { for (int comb = (1 << i) - 1, x, y; comb < (1 << 26); x = comb & -comb, y = comb + x, comb = ((comb & ~y) / x >> 1) | y) { id[comb] = ++cnt; mask[cnt] = comb; } } bfs(); if (!dis[edi][edj][1]) return puts("-1"), 0; dfs(sti, stj, 1); getans(make_pair(make_pair(sti, stj), 1)); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int X[] = {-1, 0, 1, 0}, Y[] = {0, 1, 0, -1}, K = 'z' - 'a' + 2; char a[52][52]; queue<pair<int, int> > q; int n, m, k, mini = (1 << 30), sx, sy, fx, fy; string mn; vector<char> p; set<char> buk; vector<char> b; bool chk(int i, int j) { return (i >= 0 && i < n && j >= 0 && j < m && (a[i][j] == 'S' || a[i][j] == 'T' || (int)mn.find(a[i][j]) != -1)); } void bfs(int x1, int y1, int x2, int y2) { vector<char> path; path.clear(); int d[52][52], pr[52][52]; bool u[52][52] = {false}; vector<vector<pair<int, int> > > qe[K]; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) d[i][j] = (1 << 30); d[x2][y2] = 0; q.push(make_pair(x2, y2)); int nx, ny, x, y; pair<int, int> v; while (!q.empty()) { v = q.front(); x = v.first; y = v.second; q.pop(); for (int c = 0; c < 4; c++) { nx = x + X[c]; ny = y + Y[c]; if (chk(nx, ny) && d[nx][ny] == (1 << 30)) { d[nx][ny] = d[x][y] + 1; q.push(make_pair(nx, ny)); } } } if (d[x1][y1] == (1 << 30)) return; pr[x1][y1] = -1; u[x1][y1] = true; for (int i = 0; i < K; i++) qe[i].resize(d[x1][y1]); qe[K - 1][d[x1][y1] - 1].push_back(make_pair(x1, y1)); int minc = K - 1, fminc, newminc; for (int i = d[x1][y1] - 1; i >= 0; i--) { newminc = K; for (int j = 0; j < qe[minc][i].size(); j++) { fminc = K - 1; x = qe[minc][i][j].first; y = qe[minc][i][j].second; for (int c = 0; c < 4; c++) { nx = x + X[c]; ny = y + Y[c]; if (chk(nx, ny) && a[nx][ny] != 'T' && d[nx][ny] < d[x][y]) fminc = min(fminc, (int)a[nx][ny] - 'a'); } for (int c = 0; c < 4; c++) { nx = x + X[c]; ny = y + Y[c]; if (a[nx][ny] == 'T') { pr[x2][y2] = c; nx = x2 - X[pr[x2][y2]]; ny = y2 - Y[pr[x2][y2]]; while (pr[nx][ny] != -1) { path.push_back(a[nx][ny]); x2 = nx, y2 = ny; nx = x2 - X[pr[x2][y2]]; ny = y2 - Y[pr[x2][y2]]; } reverse(path.begin(), path.end()); if (d[x1][y1] < mini || d[x1][y1] == mini && path < p) { p = path; mini = d[x1][y1]; } return; } if (chk(nx, ny) && a[nx][ny] - 'a' == fminc && d[nx][ny] < d[x][y] && !u[nx][ny]) { u[nx][ny] = true; pr[nx][ny] = c; qe[fminc][i - 1].push_back(make_pair(nx, ny)); } } newminc = min(newminc, fminc); } minc = newminc; } } void gen(int r, int ind) { if (r == 0) { bfs(sx, sy, fx, fy); return; } else if (ind >= (int)b.size()) return; else { mn = mn + b[ind]; gen(r - 1, ind + 1); mn.erase(mn.size() - 1, 1); gen(r, ind + 1); } } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { cin >> a[i][j]; if (a[i][j] == 'S') sx = i, sy = j; else if (a[i][j] == 'T') fx = i, fy = j; else buk.insert(a[i][j]); } while (buk.size()) { b.push_back((*buk.begin())); buk.erase(buk.begin()); } gen(min(k, (int)b.size()), 0); if (mini == (1 << 30)) cout << -1; else for (int i = 0; i < (int)p.size(); i++) cout << p[i]; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int inf = 10000; string best = ""; int min = 10000; int n, m, k; char a[50][51]; int start = 0; int stop = 0; cin >> n >> m >> k; for (int i = 0; i < n; i++) { cin >> a[i]; } string ret[2500]; bool hasValue[2500]; bool visted[2500]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (a[i][j] == 'S') start = i * m + j; else if (a[i][j] == 'T') stop = i * m + j; } } int c[4]; for (int i = 0; i < k; i++) { c[i] = i; } while (true) { bool b[256]; memset(b, 0, sizeof(b)); for (int i = 0; i < k; i++) { b[c[i] + 'a'] = true; } b['S'] = b['T'] = true; queue<int> q; q.push(stop); memset(hasValue, 0, sizeof(hasValue)); memset(visted, 0, sizeof(visted)); ret[stop] = string(""); hasValue[stop] = true; visted[stop] = true; int delta[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}}; while (q.size() > 0) { int v = q.front(); q.pop(); int x = v / m; int y = v % m; string val = string(1, a[x][y]) + ret[v]; if (a[x][y] == 'T') val = string(""); if (v == start) { if (ret[v].size() < min) { best = ret[v]; min = ret[v].size(); } else if (ret[v].size() == min) { if (ret[v] < best) best = ret[v]; } break; } for (int i = 0; i < 4; i++) { int nx = x + delta[i][0]; int ny = y + delta[i][1]; int cm = nx * m + ny; if (0 <= nx && nx < n && 0 <= ny && ny < m && b[a[nx][ny]]) { if (!hasValue[cm] || val < ret[cm]) { ret[cm] = val; hasValue[cm] = true; } if (!visted[cm]) { q.push(cm); visted[cm] = true; } } } } c[k - 1]++; int z = k - 1; while (c[z] >= 26 - ((k - 1) - z) && z >= 1) { c[z - 1]++; for (int i = z; i < k; i++) { c[i] = c[z - 1] + i - z + 1; } z--; } if (c[0] >= 26 - k + 1) { break; } } if (min == 10000) { cout << -1 << endl; } else { cout << best << endl; } }
#include <bits/stdc++.h> const long long base = 1000000000 + 7; using namespace std; char area[55][55]; int area2[55][55]; int used[55][55]; pair<int, int> sdeigijodfgijs[55][55]; int go[4][2] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}}; int leng[55 * 55]; int ccnt[55 * 55]; void solve() { int n, m, k; cin >> n >> m >> k; int si = -1, sj = -1, ti = -1, tj = -1; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { cin >> area[i][j]; if (area[i][j] == 'S') { si = i; sj = j; } if (area[i][j] == 'T') { ti = i; tj = j; } area2[i][j] = (int)area[i][j] - 'a'; if (area[i][j] == 'S') area2[i][j] = -2; if (area[i][j] == 'T') area2[i][j] = -1; } assert(si != -1 && ti != -1); int F = 1; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) used[i][j] = 0; string res = ""; swap(si, ti); swap(sj, tj); int len = (int)1e9; for (int a = 0; a < 26; a++) for (int b = a + (int)(k > 1); b < 26; b++) for (int c = b + (int)(k > 2); c < 26; c++) for (int d = c + (int)(k > 3); d < 26; d++) { int ch[4] = {a, b, c, d}; for (int i = k; i < 4; i++) ch[i] = ch[k - 1]; F++; priority_queue<pair<int, pair<int, pair<int, pair<int, int> > > > > q; q.push(make_pair(0, make_pair(0, make_pair(0, make_pair(si, sj))))); used[si][sj] = F; int poss = (1 << ch[0]) | (1 << ch[1]) | (1 << ch[2]) | (1 << ch[3]); while (!q.empty()) { pair<int, pair<int, pair<int, pair<int, int> > > > u = q.top(); q.pop(); if (leng[-u.first] != F) { leng[-u.first] = F; ccnt[-u.first + 1] = 0; } pair<int, pair<int, int> > goal[4]; int cnt = 0; for (int i = 0; i < 4; i++) { pair<int, int> to = make_pair(u.second.second.second.first + go[i][0], u.second.second.second.second + go[i][1]); if (to.first >= 0 && to.first < n && to.second >= 0 && to.second < m && used[to.first][to.second] != F && (area2[to.first][to.second] == -2 || (poss & (1 << (area2[to.first][to.second]))))) goal[cnt++] = make_pair(area2[to.first][to.second], to); } for (int i = 0; i < cnt; i++) { if (used[goal[i].second.first][goal[i].second.second] == F) continue; used[goal[i].second.first][goal[i].second.second] = F; sdeigijodfgijs[goal[i].second.first][goal[i].second.second] = u.second.second.second; ccnt[-u.first + 1]++; q.push(make_pair( u.first - 1, make_pair(-goal[i].first, make_pair(-ccnt[-u.first + 1], make_pair(goal[i].second.first, goal[i].second.second))))); } } if (used[ti][tj] != F) continue; string ans = ""; pair<int, int> c = sdeigijodfgijs[ti][tj]; while (1) { if (c == make_pair(si, sj)) break; ans.push_back(area[c.first][c.second]); c = sdeigijodfgijs[c.first][c.second]; } if (len > (int)ans.size()) { len = ans.size(); res = ans; } else if (len == (int)ans.size() && ans < res) res = ans; } if (len < n * m * 2) cout << res << endl; else cout << -1 << endl; } int main() { ios_base ::sync_with_stdio(false); int test = 1; while (test--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int x, y, msk; string s; node(int x1, int x2, int x3, string x4) { x = x1, y = x2, msk = x3, s = x4; } bool operator<(const node &b) const { if (s.size() != b.s.size()) return s.size() > b.s.size(); return s > b.s; } }; int gx[5] = {0, 1, 0, -1, 0}, gy[5] = {0, 0, 1, 0, -1}; char s[51][51]; set<int> st[51][51]; int las[51][51]; int count(int x) { int ans = 0; while (x) ans += x & 1, x >>= 1; return ans; } signed main() { int x = 0, y = 0; int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) cin >> s[i] + 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) if (s[i][j] == 'S') x = i, y = j; priority_queue<node> q; q.push(node(x, y, 0, "")); while (!q.empty()) { node u = q.top(); q.pop(); for (int i = 1; i <= 4; i++) { int tox = u.x + gx[i]; int toy = u.y + gy[i]; if (tox > n || toy > m || tox <= 0 || toy <= 0) continue; if (s[tox][toy] == 'T') { cout << u.s; return 0; } int mk = u.msk | (1 << (s[tox][toy] - 'a')); if (count(mk) > k) continue; if (las[tox][toy] && ((las[tox][toy] & mk) == las[tox][toy])) continue; las[tox][toy] = mk; if (st[tox][toy].count(mk)) continue; st[tox][toy].insert(mk); string tmp = u.s; q.push(node(tox, toy, mk, u.s + s[tox][toy])); } } printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 55; int n, m, k, sx, sy, tx, ty, d[N][N], mp[1 << 8], mrk[N][N]; int dx[] = {+1, -1, 0, 0}; int dy[] = {0, 0, +1, -1}; char str[N][N]; int chk(int x, int y) { return x >= 1 && x <= n && y >= 1 && y <= m && mp[str[x][y]]; } int len = 1e9; string ans; void bfs() { memset(d, 0x3f, sizeof d); d[tx][ty] = 0; queue<pair<int, int> > q; q.push(make_pair(tx, ty)); while (!q.empty()) { int x, y; tie(x, y) = q.front(); q.pop(); for (int i = 0; i < 4; i++) { int ax = x + dx[i], ay = y + dy[i]; if (chk(ax, ay) && d[ax][ay] > d[x][y] + 1) { d[ax][ay] = d[x][y] + 1; q.push(make_pair(ax, ay)); } } } if (d[sx][sy] > n * m) return; string s; q.push(make_pair(sx, sy)); while (!q.empty()) { char mx = 'z'; queue<pair<int, int> > qq; while (!q.empty()) { int x, y; tie(x, y) = q.front(); q.pop(); for (int i = 0; i < 4; i++) { int ax = x + dx[i], ay = y + dy[i]; if (chk(ax, ay) && d[ax][ay] == d[x][y] - 1) { mx = min(mx, str[ax][ay]); if (!mrk[ax][ay]) { mrk[ax][ay] = 1; qq.push(make_pair(ax, ay)); } } } } if (mx >= 'a' && mx <= 'z') s.push_back(mx); while (!qq.empty()) { int x, y; tie(x, y) = qq.front(); if (str[x][y] == mx) q.push(qq.front()); mrk[x][y] = 0; qq.pop(); } } if (d[sx][sy] < len) { len = d[sx][sy]; ans = s; } else if (d[sx][sy] == len) ans = min(ans, s); } int main() { cin >> n >> m >> k; for (int i = 1; i <= n; i++) { cin >> str[i] + 1; for (int j = 1; j <= m; j++) { if (str[i][j] == 'S') sx = i, sy = j; if (str[i][j] == 'T') tx = i, ty = j; } } mp['S'] = mp['T'] = 1; for (int p = 0; p < 26; p++) { for (int q = p; q < 26; q++) { for (int r = q; r < 26; r++) { for (int s = r; s < 26; s++) { mp[p + 'a'] = mp[q + 'a'] = mp[r + 'a'] = mp[s + 'a'] = 1; int cnt = 1 + (q > p) + (r > q) + (s > r); if (cnt <= k) { bfs(); } mp[p + 'a'] = mp[q + 'a'] = mp[r + 'a'] = mp[s + 'a'] = 0; } } } } if (len > n * m) cout << -1 << endl; else { ans.pop_back(); cout << ans << endl; } }
#include <bits/stdc++.h> using namespace std; const string name = "c"; const int NMAX = 52; const int KMAX = 5; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; int n, m, k; int sx, sy, tx, ty, dist[NMAX][NMAX]; char s[NMAX][NMAX], num[KMAX]; bool may[256]; string ans; bool good(int x, int y) { return (x >= 0 && x < n && y >= 0 && y < m && may[s[x][y]]); } vector<pair<int, int> > tmp, now; int used[NMAX][NMAX]; queue<pair<int, int> > q; void solve() { memset(may, 0, sizeof(may)); may['S'] = may['T'] = true; for (int i = 0; i < (int)k; i++) may[num[i]] = true; q.push(make_pair(tx, ty)); memset(dist, 255, sizeof(dist)); dist[tx][ty] = 0; while (!q.empty()) { int x = q.front().first, y = q.front().second; q.pop(); for (int i = 0; i < (int)4; i++) if (dist[x + dx[i]][y + dy[i]] == -1 && good(x + dx[i], y + dy[i])) { dist[x + dx[i]][y + dy[i]] = dist[x][y] + 1; q.push(make_pair(x + dx[i], y + dy[i])); } } if (dist[sx][sy] == -1) return; now.clear(); now.push_back(make_pair(sx, sy)); string res = ""; memset(used, 0, sizeof(used)); for (int i = dist[sx][sy] - 1; i >= 0; --i) { tmp.clear(); char min_c = num[k - 1]; for (int j = 0; j < (int)now.size(); j++) { int xx, yy, x = now[j].first, y = now[j].second; for (int f = 0; f < (int)4; f++) { xx = x + dx[f], yy = y + dy[f]; if (good(xx, yy) && dist[xx][yy] == dist[x][y] - 1) min_c = min(min_c, s[xx][yy]); } } for (int j = 0; j < (int)now.size(); j++) { int xx, yy, x = now[j].first, y = now[j].second; for (int f = 0; f < (int)4; f++) { xx = x + dx[f], yy = y + dy[f]; if (good(xx, yy) && dist[xx][yy] == dist[x][y] - 1 && !used[xx][yy] && s[xx][yy] == min_c) { tmp.push_back(make_pair(xx, yy)); used[xx][yy] = true; } } } now = tmp; if (i) res += min_c; } if (ans.length() > res.length()) ans = res; if (ans.length() == res.length()) ans = min(ans, res); } void gen(int pos, char ch) { if (pos == k) { solve(); return; } if (ch > 'z') return; gen(pos, ch + 1); num[pos] = ch; gen(pos + 1, ch + 1); } char c[NMAX][NMAX]; int main() { cin >> n >> m >> k; for (int i = 0; i < (int)n; i++) cin >> s[i]; for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)m; j++) { if (s[i][j] == 'S') sx = i, sy = j; if (s[i][j] == 'T') tx = i, ty = j; } ans = ""; for (int i = 0; i < (int)n * m + 1; i++) ans += "@"; gen(0, 'a'); if (ans[0] == '@') cout << -1 << endl; else cout << ans.data() << endl; cerr << clock() << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 51, A = 26; int n, m, k, dx[] = {1, 0, -1, 0}, dy[] = {0, 1, 0, -1}, mark[A]; vector<pair<int, int> > q1, q2; pair<int, int> s, t; string dis[N][N], a[N], ans; int main() { ios_base::sync_with_stdio(0), cin.tie(0); cin >> n >> m >> k; for (int i = 0; i < n; i++) { cin >> a[i]; if (~a[i].find('S')) s = {i, a[i].find('S')}; if (~a[i].find('T')) t = {i, a[i].find('T')}; } fill(mark, mark + k, 1); sort(mark, mark + A); do { for (q1.push_back(s), dis[s.first][s.second] = "S"; q1.size(); q2.clear()) { sort(q1.begin(), q1.end(), [](pair<int, int> x, pair<int, int> y) { return dis[x.first][x.second] < dis[y.first][y.second]; }); for (auto [x, y] : q1) for (int i = 0; i < 4; i++) { int z = x + dx[i], t = y + dy[i]; if (~z && z < n && ~t && t < m && dis[z][t] == "" && (a[z][t] == 'T' || mark[a[z][t] - 'a'])) { q2.push_back({z, t}); dis[z][t] = dis[x][y] + a[z][t]; } } q1 = q2; } string tmp = dis[t.first][t.second]; if (tmp != "" && (ans == "" || ans.size() > tmp.size() || (ans.size() == tmp.size() && ans > tmp))) ans = tmp; fill(*dis, *end(dis), ""); } while (next_permutation(mark, mark + A)); cout << (ans == "" ? "-1" : ans.substr(1, ans.size() - 2)) << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 55; struct node { string route; int x, y, hash, alr; node(int x_, int y_, int hash_, int alr_, string route_) { x = x_; y = y_; hash = hash_; alr = alr_; route = route_; } friend bool operator<(const node &a, const node &b) { if (a.route.length() != b.route.length()) return a.route.length() > b.route.length(); return a.route > b.route; } }; int n, m, k; set<int> visit[MAXN][MAXN]; char s[MAXN][MAXN]; int pre[MAXN][MAXN]; priority_queue<node> q; bool inside(int x, int y) { return (x >= 0 && x < n && y >= 0 && y < m); } int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; void bfs(int sx, int sy) { q.push(node(sx, sy, 0, 0, "")); while (!q.empty()) { node u = q.top(); q.pop(); int x = u.x, y = u.y; for (int i = 0; i < 4; i++) { int lx = x + dx[i]; int ly = y + dy[i]; if (!inside(lx, ly)) continue; if (s[lx][ly] == 'T') { cout << u.route << endl; exit(0); } if (s[lx][ly] == 'S') continue; int lhash = u.hash | (1 << (s[lx][ly] - 'a')); if (visit[lx][ly].find(lhash) != visit[lx][ly].end()) continue; if (pre[lx][ly] != 0 && (pre[lx][ly] & lhash) == pre[lx][ly]) continue; pre[lx][ly] = lhash; int newalr = u.alr + 1 - ((u.hash >> (s[lx][ly] - 'a') & 1)); if (newalr > k) continue; visit[lx][ly].insert(lhash); q.push(node(lx, ly, lhash, newalr, u.route + s[lx][ly])); } } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) scanf("%s", s[i]); for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) if (s[i][j] == 'S') bfs(i, j); printf("-1\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 51, MAX2 = 26; char mm[MAX][MAX]; int tm[MAX][MAX]; int n, m, k; struct node { int st; int con[MAX2]; int rev[MAX2]; node(int a = 0) : st(a) { memset(con, -1, sizeof(con)); memset(rev, -1, sizeof(rev)); } }; node stt[17905]; int stn; int si, sj, ti, tj; int dist[MAX - 1][MAX - 1][17905]; const int M1 = 10000000, M2 = 100000, M3 = 100; struct nn { int x, y, id; nn(int a = 0, int b = 0, int c = 0) : x(a), y(b), id(c) {} void print() { printf("%d %d %d %s\n", x, y, id, bitset<20>(stt[id].st).to_string().data()); } }; int as(nn h) { return h.x * M1 + h.y * M2 + h.id; } nn de(int st) { return {st / M1, st / M2 % M3, st % M2}; } int dir[4][2] = {{-1, 0}, {1, 0}, {0, 1}, {0, -1}}; inline bool ic(int i, int j) { return i >= 0 && i < n && j >= 0 && j < m; } vector<pair<int, int> > adj[MAX][MAX]; unordered_map<int, int> mbs; int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) scanf("%s", mm[i]); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (mm[i][j] == 'S') si = i, sj = j; else if (mm[i][j] == 'T') ti = i, tj = j; else tm[i][j] = mm[i][j] - 'a'; } } for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int d = 0; d < 4; d++) { int i1 = i + dir[d][0], j1 = j + dir[d][1]; if (ic(i1, j1)) { adj[i][j].push_back({i1, j1}); } } } } stn = 0; for (int i = 0; i < (1 << MAX2); i++) { int bs = __builtin_popcount(i); if (bs <= k) { stt[stn] = {i}; mbs[i] = stn++; } } for (int i = 0; i < stn; i++) { int st = stt[i].st; for (int j = 0; j < MAX2; j++) { int sn = st | (1 << j); int num = __builtin_popcount(sn); if (num <= k) stt[i].con[j] = mbs[sn]; } for (int j = 0; j < MAX2; j++) { if (st & (1 << j)) { int st1 = st & ~(1 << j); stt[i].rev[j] = mbs[st1]; } } } memset(dist, -1, sizeof(dist)); queue<int> Q; dist[ti][tj][0] = 0; Q.push(as({ti, tj, 0})); bool find = 0; while (!Q.empty()) { int cur1 = Q.front(); nn cur = de(cur1); Q.pop(); int curst = cur.id; int x = cur.x, y = cur.y; for (int i = 0; i < adj[x][y].size(); i++) { auto &ele = adj[x][y][i]; int x1 = ele.first, y1 = ele.second; if (x1 == ti && y1 == tj) continue; int hst; if (x1 == si && y1 == sj) { hst = curst; if (dist[x1][y1][hst] == -1) { dist[x1][y1][hst] = dist[x][y][curst] + 1; find = 1; } } else { hst = stt[curst].con[tm[x1][y1]]; if (hst != -1) { if (dist[x1][y1][hst] == -1) { dist[x1][y1][hst] = dist[x][y][curst] + 1; Q.push(as({x1, y1, hst})); } } } } } if (!find) printf("-1\n"); else { int ml = INT_MAX; string ans; for (int i = 0; i < stn; i++) { if (dist[si][sj][i] != -1) ml = min(ml, dist[si][sj][i]); } unordered_set<int> prev; for (int i = 0; i < stn; i++) { if (dist[si][sj][i] == ml) prev.insert(as({si, sj, i})); } while (ml > 1) { int mz = INT_MAX; unordered_set<int> news; for (int ele : prev) { nn cur = de(ele); int x = cur.x, y = cur.y; int st, st2; st = cur.id; for (int d = 0; d < 4; d++) { int x1 = x + dir[d][0], y1 = y + dir[d][1]; if (ic(x1, y1)) { if (dist[x1][y1][st] == ml - 1) mz = min(mz, tm[x1][y1]); if (!(x == si && y == sj)) { st2 = stt[st].rev[tm[x][y]]; if (dist[x1][y1][st2] == ml - 1) mz = min(mz, tm[x1][y1]); } } } } for (int ele : prev) { nn cur = de(ele); int x = cur.x, y = cur.y; int st, st2; st = cur.id; for (int d = 0; d < 4; d++) { int x1 = x + dir[d][0], y1 = y + dir[d][1]; if (ic(x1, y1)) { if (dist[x1][y1][st] == ml - 1) if (tm[x1][y1] == mz) news.insert(as({x1, y1, st})); if (!(x == si && y == sj)) { st2 = stt[st].rev[tm[x][y]]; if (dist[x1][y1][st2] == ml - 1 && tm[x1][y1] == mz) news.insert(as({x1, y1, st2})); } } } } ans.push_back('a' + mz); prev = move(news); ml--; } printf("%s\n", ans.data()); } return 0; }
#include <bits/stdc++.h> using namespace std; char field[50][50]; bool used[50][50]; int n, m, k; int counts[26]; int cur_set; set<string> min_ways; int min_len = INT_MAX; int start_x, start_y, end_x, end_y; vector<char> alpha(0); bool comp(pair<int, int> a, pair<int, int> b) { if (field[a.first][a.second] == 'T') return true; if (field[b.first][b.second] == 'T') return false; return field[a.first][a.second] < field[b.first][b.second]; } vector<pair<int, int>> find_near(int from_y, int from_x, const set<char> &from_set) { vector<pair<int, int>> near(0); if (from_y > 0 && !used[from_y - 1][from_x] && from_set.find(field[from_y - 1][from_x]) != from_set.end()) near.push_back(make_pair(from_y - 1, from_x)); if (from_y < n - 1 && !used[from_y + 1][from_x] && from_set.find(field[from_y + 1][from_x]) != from_set.end()) near.push_back(make_pair(from_y + 1, from_x)); if (from_x > 0 && !used[from_y][from_x - 1] && from_set.find(field[from_y][from_x - 1]) != from_set.end()) near.push_back(make_pair(from_y, from_x - 1)); if (from_x < m - 1 && !used[from_y][from_x + 1] && from_set.find(field[from_y][from_x + 1]) != from_set.end()) near.push_back(make_pair(from_y, from_x + 1)); sort(near.begin(), near.end(), comp); return near; } set<char> find_set_near(int from_y, int from_x) { set<char> near = set<char>(); if (from_y > 0 && !used[from_y - 1][from_x]) near.insert(field[from_y - 1][from_x]); if (from_y < n - 1 && !used[from_y + 1][from_x]) near.insert(field[from_y + 1][from_x]); if (from_x > 0 && !used[from_y][from_x - 1]) near.insert(field[from_y][from_x - 1]); if (from_x < m - 1 && !used[from_y][from_x + 1]) near.insert(field[from_y][from_x + 1]); near.erase('T'); near.erase('S'); return near; } set<char> find_second_near_set(int from_y, int from_x, set<char> &not_from) { bool l2, l1, r1, r2, u1, u2, d1, d2; l2 = from_x - 2 >= 0; l1 = from_x > 0; r1 = from_x + 2 < m; r2 = from_x + 1 < m; u2 = from_y - 2 >= 0; u1 = from_y > 0; d1 = from_y + 1 < n; d2 = from_y + 2 < n; int yu2 = from_y - 2; int yu1 = from_y - 1; int yd1 = from_y + 1; int yd2 = from_y + 2; int xl2 = from_x - 2; int xl1 = from_x - 1; int xr1 = from_x + 1; int xr2 = from_x + 2; set<char> ret = set<char>(); if (l1 && u2) ret.insert(field[yu2][xl1]); if (u2) ret.insert(field[yu2][from_x]); if (u2 && r1) ret.insert(field[yu2][xr1]); if (r2) { if (u1) ret.insert(field[yu1][xr2]); ret.insert(field[from_y][xr2]); if (d1) ret.insert(field[yd1][xr2]); } if (d2) { if (r1) ret.insert(field[yd2][xr1]); ret.insert(field[yd2][from_x]); if (l1) ret.insert(field[yd2][xl1]); } if (l2) { if (d1) ret.insert(field[yd1][xl2]); ret.insert(field[from_y][xl2]); if (u1) ret.insert(field[yu1][xl2]); } for (set<char>::iterator i = not_from.begin(); i != not_from.end(); i++) ret.erase(*i); return ret; } void read() { set<char> set_alpha = set<char>(); cin >> n >> m >> k; for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { cin >> field[i][j]; if (field[i][j] == 'S') { start_y = i; start_x = j; } else if (field[i][j] == 'T') { end_y = i; end_x = j; } else set_alpha.insert(field[i][j]); } for (set<char>::iterator i = set_alpha.begin(); i != set_alpha.end(); i++) alpha.push_back(*i); } struct cell { pair<int, int> pos; string s; }; struct comp2 { bool operator()(const cell &a, const cell &b) { if (a.s.size() != b.s.size()) return a.s.size() < b.s.size(); else return a.s < b.s; } }; set<set<char>> last_sets; bool wave(set<char> &cur_set) { if (last_sets.find(cur_set) != last_sets.end()) return false; else last_sets.insert(cur_set); memset(used, false, 2500); used[start_y][start_x] = true; cur_set.insert('T'); multiset<cell, comp2> myque; cell tmp; tmp.pos = make_pair(start_y, start_x); tmp.s = string(""); myque.insert(tmp); while (!myque.empty()) { cell cur_cell = *myque.begin(); myque.erase(myque.begin()); if (cur_cell.s.length() > min_len) break; vector<pair<int, int>> near = find_near(cur_cell.pos.first, cur_cell.pos.second, cur_set); for (vector<pair<int, int>>::iterator i = near.begin(); i != near.end(); i++) { if (field[i->first][i->second] == 'T') { if (cur_cell.s.length() < min_len) { min_ways.clear(); min_len = cur_cell.s.length(); } min_ways.insert(cur_cell.s); break; } used[i->first][i->second] = true; cell tmp = cur_cell; tmp.pos = *i; tmp.s.push_back(field[i->first][i->second]); myque.insert(tmp); } } cur_set.erase('T'); return false; } int main() { read(); string s(""); set<char> start_set = find_set_near(start_y, start_x); set<char> end_set = find_set_near(end_y, end_x); int l = alpha.size(); set<char> cur_set = set<char>(); if (!l) wave(cur_set); else { for (set<char>::iterator a = start_set.begin(); a != start_set.end(); a++) { cur_set.insert(*a); if (cur_set.size() == k || l < k && cur_set.size() == l) wave(cur_set); else { for (set<char>::iterator b = end_set.begin(); b != end_set.end(); b++) { cur_set.insert(*b); if (cur_set.size() == k || l < k && cur_set.size() == l) wave(cur_set); else { for (int i = 0; i < l; i++) { if (cur_set.end() != cur_set.find(alpha[i])) continue; cur_set.insert(alpha[i]); if (cur_set.size() == k || l < k && cur_set.size() == l) wave(cur_set); else { for (int j = i + 1; j < l; j++) { if (cur_set.end() != cur_set.find(alpha[j])) continue; cur_set.insert(alpha[j]); if ((*a) == (*b) && cur_set.size() < k) { set<char> second_set = find_second_near_set(start_y, start_x, cur_set); if (!second_set.size()) wave(cur_set); else { for (set<char>::iterator p = second_set.begin(); p != second_set.end(); p++) { cur_set.insert(*p); wave(cur_set); cur_set.erase(*p); } } } else wave(cur_set); cur_set.erase(alpha[j]); } } cur_set.erase(alpha[i]); } } cur_set.erase(*b); } } cur_set.erase(*a); } } label_end: if (min_len == INT_MAX) cout << "-1"; else cout << (*min_ways.begin()); }
#include <bits/stdc++.h> using namespace std; const int inf = (int)1e9; const int mod = inf + 7; const double eps = 1e-9; const double pi = acos(-1.0); int dx[4] = {-1, 1, 0, 0}; int dy[4] = {0, 0, -1, 1}; int n, m, k; string a[55]; string ans; int dist = inf; bool can[55][55]; vector<char> v; bool ok(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m; } void fill(vector<char> &v) { map<char, bool> was; for (int i = 0; i < v.size(); i++) was[v[i]] = 1; was['S'] = 1; was['T'] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { can[i][j] = was[a[i][j]]; } } } int level[55][55]; int d[55][55]; string solve() { memset(d, -1, sizeof d); queue<pair<int, int> > q; int endx = -1, endy = -1; int startx = -1, starty = -1; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { if (a[i][j] == 'T') { q.push(make_pair(i, j)); d[i][j] = 0; startx = i; starty = j; } if (a[i][j] == 'S') { endx = i; endy = j; } } } while (!q.empty()) { pair<int, int> p = q.front(); q.pop(); int x = p.first; int y = p.second; for (int i = 0; i < 4; i++) { int nx = x + dx[i]; int ny = y + dy[i]; if (ok(nx, ny) && can[nx][ny] && d[nx][ny] == -1) { q.push(make_pair(nx, ny)); d[nx][ny] = d[x][y] + 1; } } } if (d[endx][endy] == -1) { string ans = ""; ans += (char)('z' + 1); return ans; } string ans = ""; int len = d[endx][endy]; vector<pair<int, int> > cur; cur.push_back(make_pair(endx, endy)); while (len) { vector<pair<char, pair<int, int> > > temp; for (int i = 0; i < cur.size(); i++) { int x = cur[i].first; int y = cur[i].second; for (int j = 0; j < 4; j++) { int nx = x + dx[j]; int ny = y + dy[j]; if (ok(nx, ny) && d[nx][ny] == len - 1) { temp.push_back(make_pair(a[nx][ny], make_pair(nx, ny))); } } } sort(temp.begin(), temp.end()); temp.resize(unique(temp.begin(), temp.end()) - temp.begin()); int en = 0; while (en < temp.size() && temp[en].first == temp[0].first) en++; vector<pair<int, int> > tmp; for (int i = 0; i < en; i++) tmp.push_back(temp[i].second); ans += temp[0].first; cur = tmp; len--; } ans.erase((int)ans.size() - 1); return ans; } void go(int ind, char last = (char)('a' - 1)) { if (ind == k) { fill(v); string cur = solve(); if (cur[0] > 'z') return; if (cur.size() < dist) { dist = cur.size(); ans = cur; } else if (cur.size() == dist) { ans = min(ans, cur); } return; } for (char x = last + 1; x <= 'z'; x++) { v.push_back(x); go(ind + 1, x); v.pop_back(); } } int main() { cin >> n >> m >> k; for (int i = 0; i < n; i++) cin >> a[i]; ans += (char)('z' + 1); go(0); if (ans[0] == (char)('z' + 1)) cout << -1 << endl; else cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 55; string s[N][N], a[N], ans; int n, m, k, dis[N][N], x1, z, d = 1e9, x, y, e1, e2; bool mark[N][N]; vector<pair<int, int> > l; int X[4] = {0, 1, 0, -1}; int Y[4] = {1, 0, -1, 0}; bool valid(int f1, int f2) { if (f1 <= 0 or f2 <= 0 or f1 > n or f2 > m or !mark[f1][f2]) return false; return true; } void bfs() { mark[e1][e2] = 1; l.clear(); l.push_back({x1, z}); dis[x1][z] = 0; for (int i = 0; i < l.size(); i++) { x = l[i].first, y = l[i].second; for (int j = 0; j < 4; j++) { int xnow = X[j] + x, ynow = Y[j] + y; if (valid(xnow, ynow)) { if (dis[xnow][ynow] == dis[x][y] + 1) s[xnow][ynow] = min(s[xnow][ynow], s[x][y] + a[xnow][ynow - 1]); else if (dis[xnow][ynow] > dis[x][y]) { dis[xnow][ynow] = dis[x][y] + 1; s[xnow][ynow] = s[x][y] + a[xnow][ynow - 1]; l.push_back({xnow, ynow}); } } } } if (dis[e1][e2] == d) ans = min(ans, s[e1][e2]); else if (dis[e1][e2] < d) { ans = s[e1][e2]; d = dis[e1][e2]; } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) cin >> a[i]; for (int i = 1; i <= n; i++) for (int j = 0; j < m; j++) if (a[i][j] == 'S') x1 = i, z = j + 1; else if (a[i][j] == 'T') e1 = i, e2 = j + 1; if (k == 4) { for (int i1 = 0; i1 < 26; i1++) { for (int i2 = i1 + 1; i2 < 26; i2++) { for (int i3 = i2 + 1; i3 < 26; i3++) { for (int i4 = i3 + 1; i4 < 26; i4++) { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (a[i][j - 1] - 'a' == i1 or a[i][j - 1] - 'a' == i2 or a[i][j - 1] - 'a' == i3 or a[i][j - 1] - 'a' == i4) mark[i][j] = 1; else mark[i][j] = 0; dis[i][j] = 1e9; } bfs(); } } } } } if (k == 3) { for (int i1 = 0; i1 < 26; i1++) { for (int i2 = i1 + 1; i2 < 26; i2++) { for (int i3 = i2 + 1; i3 < 26; i3++) { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (a[i][j - 1] - 'a' == i1 or a[i][j - 1] - 'a' == i2 or a[i][j - 1] - 'a' == i3) mark[i][j] = 1; else mark[i][j] = 0; dis[i][j] = 1e9; } bfs(); } } } } if (k == 2) { for (int i1 = 0; i1 < 26; i1++) { for (int i2 = i1 + 1; i2 < 26; i2++) { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (a[i][j - 1] - 'a' == i1 or a[i][j - 1] - 'a' == i2) mark[i][j] = 1; else mark[i][j] = 0; dis[i][j] = 1e9; } bfs(); } } } if (k == 1) { for (int i1 = 0; i1 < 26; i1++) { for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (a[i][j - 1] - 'a' == i1) mark[i][j] = 1; else mark[i][j] = 0; dis[i][j] = 1e9; } bfs(); } } if (d == 1e9) return cout << -1, 0; for (int i = 0; i < ans.size() - 1; i++) cout << ans[i]; }
#include <bits/stdc++.h> using namespace std; const int c[4][2] = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}}; bool f[30], vis[60][60]; char a[60][60]; int n, m, K, d[60][60]; string ans; pair<int, int> S, T; queue<pair<int, int> > Q; vector<pair<int, int> > b; void bfs() { memset(d, 63, sizeof(d)); int inf = d[0][0]; d[T.first][T.second] = 0; Q.push(T); while (!Q.empty()) { int x0 = Q.front().first, y0 = Q.front().second; 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 && d[x0][y0] + 1 < d[x][y] && (a[x][y] == 'S' || f[a[x][y] - 'a'])) { d[x][y] = d[x0][y0] + 1; Q.push(make_pair(x, y)); } } } if (d[S.first][S.second] == inf) return; string now; Q.push(S); memset(vis, 0, sizeof(vis)); vis[S.first][S.second] = true; while (1) { char ch = 'z' + 1; b.clear(); while (!Q.empty()) { int x0 = Q.front().first, y0 = Q.front().second; 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 && d[x0][y0] == d[x][y] + 1) { if (a[x][y] < ch) { b.clear(); ch = a[x][y]; } if (a[x][y] == ch && !vis[x][y]) b.push_back(make_pair(x, y)); vis[x][y] = true; } } } if (b.size() == 0 || ch == 'T') break; now += ch; for (int i = 0; i < b.size(); i++) Q.push(b[i]); } if (now.size() < ans.size() || now.size() == ans.size() && now < ans) ans = now; } void dfs(int dep, int last) { if (dep > K) return; bfs(); for (int i = last + 1; i < 26; i++) { f[i] = true; dfs(dep + 1, i); f[i] = false; } } int main() { scanf("%d%d%d", &n, &m, &K); for (int i = 1; i <= n; i++) scanf("%s", a[i] + 1); for (int i = 1; i <= n * m; i++) ans += 'z'; ans += 'z'; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) { if (a[i][j] == 'S') S = make_pair(i, j); if (a[i][j] == 'T') T = make_pair(i, j); } for (int i = 0; i < 26; i++) { f[i] = true; dfs(1, i); f[i] = false; } if (ans.size() == n * m + 1) printf("-1\n"); else printf("%s\n", ans.c_str()); return (0); }
#include <bits/stdc++.h> using namespace std; string res; int c[26], w[26]; bool vis[26]; int f[60][60]; char g[60][60]; int n, m, k, s1, s2, tot, step; int way[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; struct In { int l; int r; string ss; } s[3000]; void bfs() { memset(f, -1, sizeof(f)); int i, j, first = 0, last = 1, len = 1, move = 1, ll; s[0].l = s1; s[0].r = s2; s[0].ss = ""; f[s1][s2] = 0; string a; bool z = false; while (first < last) { for (i = first; i < last; i++) { for (j = 0; j < 4; j++) { int p, q; p = s[i].l + way[j][0]; q = s[i].r + way[j][1]; if (p >= 0 && p < n && q >= 0 && q < m) { if (f[p][q] != -1 && f[p][q] < move) continue; a = s[i].ss; if (g[p][q] == 'T') { if (res == "") { res = a; step = move; } else { int x1 = a.length(), x2 = res.length(); if (x1 < x2 || (x1 == x2 && a < res)) { res = a; if (move < step) step = move; } } z = true; } else if (!z) { bool zz = false; for (ll = 0; ll < tot && ll < k; ll++) { if (w[ll] == g[p][q] - 'a') { zz = true; break; } } if (zz) { a += g[p][q]; for (ll = last; ll < len; ll++) if (s[ll].l == p && s[ll].r == q) { if (s[ll].ss > a) s[ll].ss = a; break; } if (ll == len) { s[len].l = p; s[len].r = q; s[len].ss = a; len++; f[p][q] = move; } } } } } } if (z) break; first = last; last = len; move++; if (move > step) break; } } void dfs(int x, int y) { if (x == tot) return; w[y] = c[x]; if (y == k - 1) { bfs(); } else dfs(x + 1, y + 1); dfs(x + 1, y); } int main() { while (cin >> n >> m >> k) { int i, j; tot = 0; memset(vis, 0, sizeof(vis)); for (i = 0; i < n; i++) { cin >> g[i]; for (j = 0; j < m; j++) { if (g[i][j] == 'S') { s1 = i; s2 = j; } else if (g[i][j] >= 'a' && g[i][j] <= 'z') { if (!vis[g[i][j] - 'a']) { c[tot++] = g[i][j] - 'a'; vis[g[i][j] - 'a'] = 1; } } } } step = 3000; if (tot <= k) { for (i = 0; i < tot; i++) w[i] = c[i]; bfs(); } else dfs(0, 0); if (step == 3000) cout << -1 << endl; else cout << res << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> class Tqueue { public: Tqueue() { h = 0; t = 0; sz = 0; } Tqueue(int n) { Tqueue(); resize(n); } void resize(int n) { if (sz > 0) free(data); data = (T *)malloc(sizeof(T) * (n + 1)); sz = n + 1; h = t = 0; } T front() { if (h == t) cerr << "ERROR! Tqueue:front() for empty queue!" << endl; return data[h]; } T back() { if (h == t) cerr << "ERROR! Tqueue:back() for empty queue!" << endl; return data[t - 1]; } int size() { int res = t - h; if (res < 0) res += sz; return res; } int empty() { return h == t; } void pop() { if (h == t) cerr << "ERROR! Tqueue:pop() for empty queue!" << endl; h++; if (h == sz) h = 0; } void push(T x) { data[t++] = x; if (t == sz) t = 0; if (h == t) cerr << "ERROR! Tqueue:push() for full queue!" << endl; } ~Tqueue() { if (sz > 0) { free(data); sz = 0; } } private: T *data; int h, t, sz; }; const string name = "c"; const int NMAX = 52; const int KMAX = 5; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; int n, m, k; int sx, sy, tx, ty, dist[NMAX][NMAX]; char s[NMAX][NMAX], num[KMAX]; bool may[256]; string ans; bool good(int x, int y) { return (x >= 0 && x < n && y >= 0 && y < m && may[s[x][y]]); } vector<pair<int, int> > tmp, now; int used[NMAX][NMAX]; Tqueue<pair<int, int> > q(NMAX *NMAX); void solve() { memset(may, 0, sizeof(may)); may['S'] = may['T'] = true; for (int i = 0; i < (int)k; i++) may[num[i]] = true; q.push(make_pair(tx, ty)); memset(dist, 255, sizeof(dist)); dist[tx][ty] = 0; while (!q.empty()) { int x = q.front().first, y = q.front().second; q.pop(); for (int i = 0; i < (int)4; i++) if (dist[x + dx[i]][y + dy[i]] == -1 && good(x + dx[i], y + dy[i])) { dist[x + dx[i]][y + dy[i]] = dist[x][y] + 1; q.push(make_pair(x + dx[i], y + dy[i])); } } if (dist[sx][sy] == -1) return; now.clear(); now.push_back(make_pair(sx, sy)); string res = ""; memset(used, 0, sizeof(used)); for (int i = dist[sx][sy] - 1; i >= 0; --i) { tmp.clear(); char min_c = num[k - 1]; for (int j = 0; j < (int)now.size(); j++) { int xx, yy, x = now[j].first, y = now[j].second; for (int f = 0; f < (int)4; f++) { xx = x + dx[f], yy = y + dy[f]; if (good(xx, yy) && dist[xx][yy] == dist[x][y] - 1) min_c = min(min_c, s[xx][yy]); } } for (int j = 0; j < (int)now.size(); j++) { int xx, yy, x = now[j].first, y = now[j].second; for (int f = 0; f < (int)4; f++) { xx = x + dx[f], yy = y + dy[f]; if (good(xx, yy) && dist[xx][yy] == dist[x][y] - 1 && !used[xx][yy] && s[xx][yy] == min_c) { tmp.push_back(make_pair(xx, yy)); used[xx][yy] = true; } } } now = tmp; if (i) res += min_c; } if (ans.length() > res.length()) ans = res; if (ans.length() == res.length()) ans = min(ans, res); } void gen(int pos, char ch) { if (pos == k) { solve(); return; } if (ch > 'z') return; gen(pos, ch + 1); num[pos] = ch; gen(pos + 1, ch + 1); } char c[NMAX][NMAX]; int main() { cin >> n >> m >> k; for (int i = 0; i < (int)n; i++) cin >> s[i]; for (int i = 0; i < (int)n; i++) for (int j = 0; j < (int)m; j++) { if (s[i][j] == 'S') sx = i, sy = j; if (s[i][j] == 'T') tx = i, ty = j; } ans = ""; for (int i = 0; i < (int)n * m + 1; i++) ans += "@"; gen(0, 'a'); if (ans[0] == '@') cout << -1 << endl; else cout << ans.data() << endl; cerr << clock() << endl; return 0; }