#include<iostream> #include<vector> #include<set> #include<unordered_map> #include<algorithm> #include<queue> #include<math.h> using namespace std; struct Edge; struct Node; queue<pair<int, long long> > toVisitFwd; queue<pair<int, pair<long long, long long> > > toVisitBck; //long long EXP = 437838128LL; long long MAX = 40000LL; struct Edge { Node* start; Node* end; long long multiplier; }; struct Node { int index; vector<Edge*> in; vector<Edge*> out; long long p; vector<long long> possibleMultsFwd; set<long long> visitedMultsFwd; priority_queue<long long> multsBckPrq; // map from multiplier to the limit unordered_map<long long, long long> multsBck; void visitForward(long long m) { if (p < m) { return; } if (visitedMultsFwd.find(m) != visitedMultsFwd.end()) { return; } visitedMultsFwd.insert(m); possibleMultsFwd.push_back(m); for (Edge* edge : out) { if ((MAX >= m || edge->multiplier == 1LL)) { toVisitFwd.push(make_pair(edge->end->index, m * (edge->multiplier))); } } } void visitBackward(long long m, long long limit) { if (limit == 0LL) { return; } if (limit >= p) { limit = p; } if (multsBck.find(m) != multsBck.end()) { long long oldLimit = multsBck[m]; if (limit <= oldLimit) { return; } } multsBck[m] = limit; multsBckPrq.push(m); if (MAX >= m) { for (Edge* edge : in) { toVisitBck.push(make_pair(edge->start->index, make_pair(m * (edge->multiplier), limit / (edge->multiplier)))); } } } long long calculateMax() { if (possibleMultsFwd.size() == 0) { return -1LL; } sort(possibleMultsFwd.begin(), possibleMultsFwd.end()); vector<pair<long long, long long> > multsAndLimits; long long currentLimit = -100LL; while (!multsBckPrq.empty()) { long long mult = multsBckPrq.top(); multsBckPrq.pop(); if (multsBck.find(mult) == multsBck.end()) { continue; } long long limit = multsBck[mult]; if (limit > currentLimit) { multsAndLimits.push_back(make_pair(mult, limit)); currentLimit = limit; } } long long mx = -1LL; int im = 0; for (int i = 0; i < multsAndLimits.size(); i++) { long long limit = multsAndLimits[i].second; long long mult = multsAndLimits[i].first; while (im < possibleMultsFwd.size() - 1 && possibleMultsFwd[im + 1] <= limit) { im++; } long long forwMult = possibleMultsFwd[im]; long long curr = mult * forwMult; if (forwMult > limit) { continue; } if (mx < curr) { mx = curr; } } return mx; } }; long long singleRun() { int n, m; cin >> n >> m; vector<Node*> nodes(n + 1); for (int i = 1; i <= n; i++) { long long p; cin >> p; Node* node = new Node(); node->index = i; node->p = p; nodes[i] = node; } MAX = (long long) sqrt(nodes[n]->p) + 10LL; for (int i = 0; i < m; i++) { int a, b; long long w; cin >> a >> b >> w; Edge* edge = new Edge(); edge->start = nodes[a]; edge->end = nodes[b]; edge->multiplier = w; nodes[a]->out.push_back(edge); nodes[b]->in.push_back(edge); } toVisitFwd.push(make_pair(1, 1LL)); while (!toVisitFwd.empty()) { pair<int, long long> fr = toVisitFwd.front(); toVisitFwd.pop(); nodes[fr.first]->visitForward(fr.second); } toVisitBck.push(make_pair(n, make_pair(1, nodes[n]->p))); while (!toVisitBck.empty()) { pair<int, pair<long long, long long> > fr = toVisitBck.front(); toVisitBck.pop(); nodes[fr.first]->visitBackward(fr.second.first, fr.second.second); } long long mx = -1LL; for (int i = 1; i <= n; i++) { long long current = nodes[i]->calculateMax(); if (mx < current) { mx = current; } } return mx; } int main() { std::ios::sync_with_stdio(false); std::cin.tie(NULL); int T; cin >> T; vector<long long> results(T); for (int i = 0; i < T; i++) { results[i] = singleRun(); } for (int i = 0; i < T; i++) { cout << results[i] << "\n"; } }
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 | #include<iostream> #include<vector> #include<set> #include<unordered_map> #include<algorithm> #include<queue> #include<math.h> using namespace std; struct Edge; struct Node; queue<pair<int, long long> > toVisitFwd; queue<pair<int, pair<long long, long long> > > toVisitBck; //long long EXP = 437838128LL; long long MAX = 40000LL; struct Edge { Node* start; Node* end; long long multiplier; }; struct Node { int index; vector<Edge*> in; vector<Edge*> out; long long p; vector<long long> possibleMultsFwd; set<long long> visitedMultsFwd; priority_queue<long long> multsBckPrq; // map from multiplier to the limit unordered_map<long long, long long> multsBck; void visitForward(long long m) { if (p < m) { return; } if (visitedMultsFwd.find(m) != visitedMultsFwd.end()) { return; } visitedMultsFwd.insert(m); possibleMultsFwd.push_back(m); for (Edge* edge : out) { if ((MAX >= m || edge->multiplier == 1LL)) { toVisitFwd.push(make_pair(edge->end->index, m * (edge->multiplier))); } } } void visitBackward(long long m, long long limit) { if (limit == 0LL) { return; } if (limit >= p) { limit = p; } if (multsBck.find(m) != multsBck.end()) { long long oldLimit = multsBck[m]; if (limit <= oldLimit) { return; } } multsBck[m] = limit; multsBckPrq.push(m); if (MAX >= m) { for (Edge* edge : in) { toVisitBck.push(make_pair(edge->start->index, make_pair(m * (edge->multiplier), limit / (edge->multiplier)))); } } } long long calculateMax() { if (possibleMultsFwd.size() == 0) { return -1LL; } sort(possibleMultsFwd.begin(), possibleMultsFwd.end()); vector<pair<long long, long long> > multsAndLimits; long long currentLimit = -100LL; while (!multsBckPrq.empty()) { long long mult = multsBckPrq.top(); multsBckPrq.pop(); if (multsBck.find(mult) == multsBck.end()) { continue; } long long limit = multsBck[mult]; if (limit > currentLimit) { multsAndLimits.push_back(make_pair(mult, limit)); currentLimit = limit; } } long long mx = -1LL; int im = 0; for (int i = 0; i < multsAndLimits.size(); i++) { long long limit = multsAndLimits[i].second; long long mult = multsAndLimits[i].first; while (im < possibleMultsFwd.size() - 1 && possibleMultsFwd[im + 1] <= limit) { im++; } long long forwMult = possibleMultsFwd[im]; long long curr = mult * forwMult; if (forwMult > limit) { continue; } if (mx < curr) { mx = curr; } } return mx; } }; long long singleRun() { int n, m; cin >> n >> m; vector<Node*> nodes(n + 1); for (int i = 1; i <= n; i++) { long long p; cin >> p; Node* node = new Node(); node->index = i; node->p = p; nodes[i] = node; } MAX = (long long) sqrt(nodes[n]->p) + 10LL; for (int i = 0; i < m; i++) { int a, b; long long w; cin >> a >> b >> w; Edge* edge = new Edge(); edge->start = nodes[a]; edge->end = nodes[b]; edge->multiplier = w; nodes[a]->out.push_back(edge); nodes[b]->in.push_back(edge); } toVisitFwd.push(make_pair(1, 1LL)); while (!toVisitFwd.empty()) { pair<int, long long> fr = toVisitFwd.front(); toVisitFwd.pop(); nodes[fr.first]->visitForward(fr.second); } toVisitBck.push(make_pair(n, make_pair(1, nodes[n]->p))); while (!toVisitBck.empty()) { pair<int, pair<long long, long long> > fr = toVisitBck.front(); toVisitBck.pop(); nodes[fr.first]->visitBackward(fr.second.first, fr.second.second); } long long mx = -1LL; for (int i = 1; i <= n; i++) { long long current = nodes[i]->calculateMax(); if (mx < current) { mx = current; } } return mx; } int main() { std::ios::sync_with_stdio(false); std::cin.tie(NULL); int T; cin >> T; vector<long long> results(T); for (int i = 0; i < T; i++) { results[i] = singleRun(); } for (int i = 0; i < T; i++) { cout << results[i] << "\n"; } } |