#include <cstdio> #include <set> #include <map> #include <cassert> #include <queue> #include <cmath> #include <vector> using namespace std; const int MAX_N = 200000+44; const int MAX_K = 500000+44; int m, n, k; long long G[MAX_N]; int forwards[MAX_N]; set<int> backwards[MAX_N]; vector<pair<int, int>> reactions; vector<pair<int, int>> connections; vector<pair<int, int>> ordered_reactions[MAX_N]; int visited[MAX_N]; int representants[MAX_N]; int levels[MAX_N]; void dfs(int id, int gid, vector<pair<int, int>>& eulers_path, int level) { visited[id] = gid; levels[id] = level; if(representants[id]==0) representants[id] = eulers_path.size(); eulers_path.push_back(make_pair(id, level)); for(int pid : backwards[id]) { dfs(pid,gid, eulers_path, level+1); eulers_path.push_back(make_pair(id, level)); } } long long result = 0; void dfs_react(int id) { for(int pid : backwards[id]) { dfs_react(pid); } for(auto& p : ordered_reactions[id]) { int amnt = min(G[p.first], G[p.second]); result += 2*amnt; G[p.first] -= amnt; G[p.second] -= amnt; } } int main() { scanf("%d %d %d", &n, &m, &k); for(int i=1;i<=n;i++) scanf("%lld", &G[i]); int a,b; for(int i=0;i<m;i++) { scanf("%d %d", &a, &b); forwards[a]=b; backwards[b].insert(a); connections.push_back(make_pair(a, b)); } int c,d; for(int i=0;i<k;i++) { scanf("%d %d", &c, &d); reactions.push_back(make_pair(c, d)); } vector<pair<int, int>> eulers_path; map<int, vector<int>> eulers_labels; vector<int> final_substances; int gid=0; for(auto it=connections.rbegin(); it!=connections.rend(); it++) { if(visited[it->second]) continue; final_substances.push_back(it->second); dfs(it->second, ++gid, eulers_path, 0); } { // <lca, prev> vector<vector<pair<int, int>>> rmq_sparsed; for(int i=0; 1<<i <= eulers_path.size(); i++) { int len = 1<<i; rmq_sparsed.push_back(vector<pair<int, int>>()); for(int l=0; l+len-1 < eulers_path.size(); l++) { if(i==0) rmq_sparsed[i].push_back( make_pair(eulers_path[l].first, 0) ); else if(i==1) { if(levels[rmq_sparsed[i-1][l].first] < levels[rmq_sparsed[i-1][l+(1<<(i-1))].first]) rmq_sparsed[i].push_back(make_pair(rmq_sparsed[i-1][l].first, rmq_sparsed[i-1][l+(1<<(i-1))].first)); else rmq_sparsed[i].push_back(make_pair(rmq_sparsed[i-1][l+(1<<(i-1))].first, rmq_sparsed[i-1][l].first)); } else { if(levels[rmq_sparsed[i-1][l].first] < levels[rmq_sparsed[i-1][l+(1<<(i-1))].first]) rmq_sparsed[i].push_back(rmq_sparsed[i-1][l]); else if(levels[rmq_sparsed[i-1][l].first] == levels[rmq_sparsed[i-1][l+(1<<(i-1))].first]) { if(representants[rmq_sparsed[i-1][l].second] > representants[rmq_sparsed[i-1][l+(1<<(i-1))].second]) rmq_sparsed[i].push_back(rmq_sparsed[i-1][l]); else rmq_sparsed[i].push_back(rmq_sparsed[i-1][l+(1<<(i-1))]); } else rmq_sparsed[i].push_back(rmq_sparsed[i-1][l+(1<<(i-1))]); } } } for(auto &p : reactions) { if(visited[p.first]!=visited[p.second] || visited[p.first]==0) { continue; } int r1 = representants[p.first]; int r2 = representants[p.second]; if(r1>r2) swap(r1, r2); int i = (int)log2(r2-r1+1); int j1 = r1; int j2 = r2+1 - (1<<i); int min1 = rmq_sparsed[i][j1].first; int min2 = rmq_sparsed[i][j2].first; int at; int prev; if( (levels[min1]==levels[min2] && representants[rmq_sparsed[i][j1].second]>representants[rmq_sparsed[i][j2].second]) || levels[min1]<levels[min2]) { at = rmq_sparsed[i][j1].first; prev = rmq_sparsed[i][j1].second; } else { at = rmq_sparsed[i][j2].first; prev = rmq_sparsed[i][j2].second; } //assert(visited[at]==visited[prev]); //assert(visited[at]==visited[p.first]); ordered_reactions[prev].push_back(p); } } for(int start : final_substances) { dfs_react(start); } printf("%lld\n", result); }
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 | #include <cstdio> #include <set> #include <map> #include <cassert> #include <queue> #include <cmath> #include <vector> using namespace std; const int MAX_N = 200000+44; const int MAX_K = 500000+44; int m, n, k; long long G[MAX_N]; int forwards[MAX_N]; set<int> backwards[MAX_N]; vector<pair<int, int>> reactions; vector<pair<int, int>> connections; vector<pair<int, int>> ordered_reactions[MAX_N]; int visited[MAX_N]; int representants[MAX_N]; int levels[MAX_N]; void dfs(int id, int gid, vector<pair<int, int>>& eulers_path, int level) { visited[id] = gid; levels[id] = level; if(representants[id]==0) representants[id] = eulers_path.size(); eulers_path.push_back(make_pair(id, level)); for(int pid : backwards[id]) { dfs(pid,gid, eulers_path, level+1); eulers_path.push_back(make_pair(id, level)); } } long long result = 0; void dfs_react(int id) { for(int pid : backwards[id]) { dfs_react(pid); } for(auto& p : ordered_reactions[id]) { int amnt = min(G[p.first], G[p.second]); result += 2*amnt; G[p.first] -= amnt; G[p.second] -= amnt; } } int main() { scanf("%d %d %d", &n, &m, &k); for(int i=1;i<=n;i++) scanf("%lld", &G[i]); int a,b; for(int i=0;i<m;i++) { scanf("%d %d", &a, &b); forwards[a]=b; backwards[b].insert(a); connections.push_back(make_pair(a, b)); } int c,d; for(int i=0;i<k;i++) { scanf("%d %d", &c, &d); reactions.push_back(make_pair(c, d)); } vector<pair<int, int>> eulers_path; map<int, vector<int>> eulers_labels; vector<int> final_substances; int gid=0; for(auto it=connections.rbegin(); it!=connections.rend(); it++) { if(visited[it->second]) continue; final_substances.push_back(it->second); dfs(it->second, ++gid, eulers_path, 0); } { // <lca, prev> vector<vector<pair<int, int>>> rmq_sparsed; for(int i=0; 1<<i <= eulers_path.size(); i++) { int len = 1<<i; rmq_sparsed.push_back(vector<pair<int, int>>()); for(int l=0; l+len-1 < eulers_path.size(); l++) { if(i==0) rmq_sparsed[i].push_back( make_pair(eulers_path[l].first, 0) ); else if(i==1) { if(levels[rmq_sparsed[i-1][l].first] < levels[rmq_sparsed[i-1][l+(1<<(i-1))].first]) rmq_sparsed[i].push_back(make_pair(rmq_sparsed[i-1][l].first, rmq_sparsed[i-1][l+(1<<(i-1))].first)); else rmq_sparsed[i].push_back(make_pair(rmq_sparsed[i-1][l+(1<<(i-1))].first, rmq_sparsed[i-1][l].first)); } else { if(levels[rmq_sparsed[i-1][l].first] < levels[rmq_sparsed[i-1][l+(1<<(i-1))].first]) rmq_sparsed[i].push_back(rmq_sparsed[i-1][l]); else if(levels[rmq_sparsed[i-1][l].first] == levels[rmq_sparsed[i-1][l+(1<<(i-1))].first]) { if(representants[rmq_sparsed[i-1][l].second] > representants[rmq_sparsed[i-1][l+(1<<(i-1))].second]) rmq_sparsed[i].push_back(rmq_sparsed[i-1][l]); else rmq_sparsed[i].push_back(rmq_sparsed[i-1][l+(1<<(i-1))]); } else rmq_sparsed[i].push_back(rmq_sparsed[i-1][l+(1<<(i-1))]); } } } for(auto &p : reactions) { if(visited[p.first]!=visited[p.second] || visited[p.first]==0) { continue; } int r1 = representants[p.first]; int r2 = representants[p.second]; if(r1>r2) swap(r1, r2); int i = (int)log2(r2-r1+1); int j1 = r1; int j2 = r2+1 - (1<<i); int min1 = rmq_sparsed[i][j1].first; int min2 = rmq_sparsed[i][j2].first; int at; int prev; if( (levels[min1]==levels[min2] && representants[rmq_sparsed[i][j1].second]>representants[rmq_sparsed[i][j2].second]) || levels[min1]<levels[min2]) { at = rmq_sparsed[i][j1].first; prev = rmq_sparsed[i][j1].second; } else { at = rmq_sparsed[i][j2].first; prev = rmq_sparsed[i][j2].second; } //assert(visited[at]==visited[prev]); //assert(visited[at]==visited[p.first]); ordered_reactions[prev].push_back(p); } } for(int start : final_substances) { dfs_react(start); } printf("%lld\n", result); } |