#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #ifdef LOCAL #include "../debug/debug.h" #else #define debug(...) #define debugArr(...) #endif using namespace std; using namespace __gnu_pbds; using ll = long long; using db = long double; using pi = pair<int,int>; using pl = pair<ll,ll>; using vi = vector<int>; using vl = vector<ll>; using vb = vector<bool>; using vpi = vector<pi>; using vpl = vector<pl>; using vvi = vector<vi>; #define mp make_pair #define eb emplace_back #define pb push_back #define x first #define y second #define sz(x) int((x).size()) #define bg(x) begin(x) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(), (x).rend() #define rep(i,a,b) for(int i=(a);i<(b);i++) #define per(i,a,b) for(int i=(b)-1;i>=(a);i--) #define ft front() #define bk back() #define rsz resize #define ins insert #define each(a,x) for(auto&a:x) template<class T> bool ckmin(T& a, T b) { return b<a?a=b,1:0; } template<class T> bool ckmax(T& a, T b) { return b>a?a=b,1:0; } template<class T> int lwb(vector<T>& a, const T& b) { return int(lower_bound(all(a),b)-bg(a)); } template<class T> int upb(vector<T>& a, const T& b) { return int(upper_bound(all(a),b)-bg(a)); } template<class T> void remdup(vector<T>& v) { sort(all(v)); v.erase(unique(all(v)),end(v)); } constexpr int pct(int x) { return __builtin_popcount(x); } constexpr int bitlog(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); } constexpr int pct(ll x) { return __builtin_popcountll(x); } constexpr int bitlog(ll x) { return x == 0 ? 0 : 63 - __builtin_clzll(x); } constexpr ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up constexpr ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); } // divide a by b rounded down constexpr int cdiv(int a, int b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded down constexpr int fdiv(int a, int b) { return a / b - ((a ^ b) < 0 && a % b); } // divide a by b rounded down const pi MOVES[] = {{-1, 0}, {0, -1}, {1, 0}, {0, 1}}; #ifdef LOCAL mt19937_64 rng(0xabadbeef); #else mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); #endif ll randr(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rng); } const int INF = 1e9 + 10; struct SegmentSet { set<pi> s; bool add(int x, int y) { auto it = s.upper_bound(mp(x, INF)); if (it != bg(s) && prev(it)->x <= x && prev(it)->y >= y) { return false; } while (it != end(s) && it->x <= y + 1) { ckmin(x, it->x); ckmax(y, it->y); it = s.erase(it); } // it jest "za" moim przedziałem while (it != bg(s) && (--it)->y + 1 >= x) { ckmin(x, it->x); ckmax(y, it->y); it = s.erase(it); } s.emplace(x, y); return true; } void clear() { s.clear(); } }; const int N = 108; const int M = 208; int p[N]; vpi g[N]; vpi gr[N]; vi g1[N]; int reachable[N][N]; // with 1-edges vi reachable_vector[N]; SegmentSet memo[N]; int n, m; bool achievable_simple(int u, int lx, int rx); bool achievable_complex(int u, int lx, int rx); bool achievable_simple(int u, int lx, int rx) { if (lx == 1 && reachable[0][u] != -1) { return true; } if (!memo[u].add(lx, rx)) { return false; } for (auto [v, w] : gr[u]) { int new_lx = (lx + w - 1) / w; if (new_lx > p[v]) continue; int new_rx = min(p[v], rx / w); if (new_rx < new_lx) continue; if (achievable_complex(v, new_lx, new_rx)) { return true; } } return false; } bool achievable_complex(int u, int lx, int rx) { if (lx == 1 && reachable[0][u] != -1) { return true; } if (!memo[u].add(lx, rx)) { return false; } for (auto [v, w] : gr[u]) { int new_lx = (lx + w - 1) / w; if (new_lx > p[v]) continue; int new_rx = min(p[v], rx / w); if (new_rx < new_lx) continue; if (achievable_complex(v, new_lx, new_rx)) { return true; } } for (auto v : reachable_vector[u]) { if (lx > reachable[v][u]) break; int new_rx = min(rx, reachable[v][u]); if (achievable_simple(v, lx, new_rx)) { return true; } } return false; } bool calc(int x) { return achievable_complex(n - 1, x, p[n - 1]); } void init_reachable() { rep(i,0,n) rep(j,0,n) reachable[i][j] = -1; rep(i,0,n) { priority_queue<pi> pq; pq.emplace(p[i], i); reachable[i][i] = p[i]; while (!pq.empty()) { auto [x, j] = pq.top(); pq.pop(); assert(reachable[i][j] == x); for (auto k : g1[j]) { int nx = min(x, p[k]); if (ckmax(reachable[i][k], nx)) { pq.emplace(nx, k); } } } } rep(i,0,n) { rep(j,0,n) { if (reachable[j][i] != -1 && i != j) { reachable_vector[i].eb(j); } } sort(all(reachable_vector[i]), [&](int u, int v) { return reachable[u][i] > reachable[v][i]; }); } } void solve() { cin >> n >> m; rep(i,0,n) cin >> p[i]; rep(i,0,n) memo[i].clear(); rep(i,0,n) { g[i].clear(); gr[i].clear(); g1[i].clear(); reachable_vector[i].clear(); } rep(i,0,m) { int a, b, w; cin >> a >> b >> w; a--; b--; if (w == 1) { g1[a].eb(b); } else { g[a].eb(b, w); gr[b].eb(a, w); } } init_reachable(); int res = -1; int l = 1; int r = p[n - 1]; while (l <= r) { int mid = (l + r) / 2; if (calc(mid)) { l = mid + 1; res = mid; rep(i,0,n) memo[i].clear(); } else { r = mid - 1; } } cout << res << '\n'; } signed main() { cin.tie(0)->sync_with_stdio(0); int t; cin >> t; rep(tc,0,t) { if (tc % 10 == 0) { debug(tc); } solve(); } return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 | #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #ifdef LOCAL #include "../debug/debug.h" #else #define debug(...) #define debugArr(...) #endif using namespace std; using namespace __gnu_pbds; using ll = long long; using db = long double; using pi = pair<int,int>; using pl = pair<ll,ll>; using vi = vector<int>; using vl = vector<ll>; using vb = vector<bool>; using vpi = vector<pi>; using vpl = vector<pl>; using vvi = vector<vi>; #define mp make_pair #define eb emplace_back #define pb push_back #define x first #define y second #define sz(x) int((x).size()) #define bg(x) begin(x) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(), (x).rend() #define rep(i,a,b) for(int i=(a);i<(b);i++) #define per(i,a,b) for(int i=(b)-1;i>=(a);i--) #define ft front() #define bk back() #define rsz resize #define ins insert #define each(a,x) for(auto&a:x) template<class T> bool ckmin(T& a, T b) { return b<a?a=b,1:0; } template<class T> bool ckmax(T& a, T b) { return b>a?a=b,1:0; } template<class T> int lwb(vector<T>& a, const T& b) { return int(lower_bound(all(a),b)-bg(a)); } template<class T> int upb(vector<T>& a, const T& b) { return int(upper_bound(all(a),b)-bg(a)); } template<class T> void remdup(vector<T>& v) { sort(all(v)); v.erase(unique(all(v)),end(v)); } constexpr int pct(int x) { return __builtin_popcount(x); } constexpr int bitlog(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); } constexpr int pct(ll x) { return __builtin_popcountll(x); } constexpr int bitlog(ll x) { return x == 0 ? 0 : 63 - __builtin_clzll(x); } constexpr ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up constexpr ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); } // divide a by b rounded down constexpr int cdiv(int a, int b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded down constexpr int fdiv(int a, int b) { return a / b - ((a ^ b) < 0 && a % b); } // divide a by b rounded down const pi MOVES[] = {{-1, 0}, {0, -1}, {1, 0}, {0, 1}}; #ifdef LOCAL mt19937_64 rng(0xabadbeef); #else mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); #endif ll randr(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rng); } const int INF = 1e9 + 10; struct SegmentSet { set<pi> s; bool add(int x, int y) { auto it = s.upper_bound(mp(x, INF)); if (it != bg(s) && prev(it)->x <= x && prev(it)->y >= y) { return false; } while (it != end(s) && it->x <= y + 1) { ckmin(x, it->x); ckmax(y, it->y); it = s.erase(it); } // it jest "za" moim przedziałem while (it != bg(s) && (--it)->y + 1 >= x) { ckmin(x, it->x); ckmax(y, it->y); it = s.erase(it); } s.emplace(x, y); return true; } void clear() { s.clear(); } }; const int N = 108; const int M = 208; int p[N]; vpi g[N]; vpi gr[N]; vi g1[N]; int reachable[N][N]; // with 1-edges vi reachable_vector[N]; SegmentSet memo[N]; int n, m; bool achievable_simple(int u, int lx, int rx); bool achievable_complex(int u, int lx, int rx); bool achievable_simple(int u, int lx, int rx) { if (lx == 1 && reachable[0][u] != -1) { return true; } if (!memo[u].add(lx, rx)) { return false; } for (auto [v, w] : gr[u]) { int new_lx = (lx + w - 1) / w; if (new_lx > p[v]) continue; int new_rx = min(p[v], rx / w); if (new_rx < new_lx) continue; if (achievable_complex(v, new_lx, new_rx)) { return true; } } return false; } bool achievable_complex(int u, int lx, int rx) { if (lx == 1 && reachable[0][u] != -1) { return true; } if (!memo[u].add(lx, rx)) { return false; } for (auto [v, w] : gr[u]) { int new_lx = (lx + w - 1) / w; if (new_lx > p[v]) continue; int new_rx = min(p[v], rx / w); if (new_rx < new_lx) continue; if (achievable_complex(v, new_lx, new_rx)) { return true; } } for (auto v : reachable_vector[u]) { if (lx > reachable[v][u]) break; int new_rx = min(rx, reachable[v][u]); if (achievable_simple(v, lx, new_rx)) { return true; } } return false; } bool calc(int x) { return achievable_complex(n - 1, x, p[n - 1]); } void init_reachable() { rep(i,0,n) rep(j,0,n) reachable[i][j] = -1; rep(i,0,n) { priority_queue<pi> pq; pq.emplace(p[i], i); reachable[i][i] = p[i]; while (!pq.empty()) { auto [x, j] = pq.top(); pq.pop(); assert(reachable[i][j] == x); for (auto k : g1[j]) { int nx = min(x, p[k]); if (ckmax(reachable[i][k], nx)) { pq.emplace(nx, k); } } } } rep(i,0,n) { rep(j,0,n) { if (reachable[j][i] != -1 && i != j) { reachable_vector[i].eb(j); } } sort(all(reachable_vector[i]), [&](int u, int v) { return reachable[u][i] > reachable[v][i]; }); } } void solve() { cin >> n >> m; rep(i,0,n) cin >> p[i]; rep(i,0,n) memo[i].clear(); rep(i,0,n) { g[i].clear(); gr[i].clear(); g1[i].clear(); reachable_vector[i].clear(); } rep(i,0,m) { int a, b, w; cin >> a >> b >> w; a--; b--; if (w == 1) { g1[a].eb(b); } else { g[a].eb(b, w); gr[b].eb(a, w); } } init_reachable(); int res = -1; int l = 1; int r = p[n - 1]; while (l <= r) { int mid = (l + r) / 2; if (calc(mid)) { l = mid + 1; res = mid; rep(i,0,n) memo[i].clear(); } else { r = mid - 1; } } cout << res << '\n'; } signed main() { cin.tie(0)->sync_with_stdio(0); int t; cin >> t; rep(tc,0,t) { if (tc % 10 == 0) { debug(tc); } solve(); } return 0; } |