#include <cstdio> #include <cstring> #include <cmath> #include <cassert> #include <iostream> #include <algorithm> #include <iterator> #include <string> #include <vector> #include <queue> #include <bitset> #include <utility> #include <stack> using namespace std; typedef long long LL; typedef pair<int,int> PII; typedef vector<int> VI; #define MP make_pair #define FOR(v,p,k) for(int v=(p);v<=(k);++v) #define FORD(v,p,k) for(int v=(p);v>=(k);--v) #define REP(i,n) for(int i=0;i<(n);++i) #define VAR(v,i) __typeof(i) v=(i) #define FOREACH(i,c) for(VAR(i,(c).begin());i!=(c).end();++i) #define PB push_back #define ST first #define ND second #define SIZE(x) (int)x.size() #define ALL(c) c.begin(),c.end() #define ODD(x) ((x)%2) #define EVEN(x) (!(ODD(x))) // copied and modified from: // http://www.topcoder.com/tc?d1=tutorials&d2=lowestCommonAncestor&module=Static#Another easy solution in O(N logN, O(logN) #define MAXN 200009 #define LOGMAXN 20 int T[MAXN]; int P[MAXN][LOGMAXN]; int L[MAXN]; vector<PII> flows[MAXN]; VI children[MAXN]; int amount[MAXN]; int order[MAXN]; int N, M, K; void dfs(int node, int level = 0) { vector<PII> dfsStack; dfsStack.PB(MP(node, level)); while (!dfsStack.empty()) { node = dfsStack.back().first; level = dfsStack.back().second; dfsStack.pop_back(); L[node]=level; FOREACH(it, children[node]) { dfsStack.PB(MP(*it, level+1)); } } } void process3() { int i, j; //we initialize every element in P with -1 for (i = 0; i < N; i++) for (j = 0; 1 << j < N; j++) P[i][j] = -1; //the first ancestor of every node i is T[i] for (i = 0; i < N; i++) P[i][0] = T[i]; //bottom up dynamic programing for (j = 1; 1 << j < N; j++) for (i = 0; i < N; i++) if (P[i][j - 1] != -1) P[i][j] = P[P[i][j - 1]][j - 1]; } int query(int p, int q) { int log, i; //if p is situated on a higher level than q then we swap them if (L[p] < L[q]) swap(p,q); //we compute the value of [log(L[p)] for (log = 1; 1 << log <= L[p]; log++); log--; if (L[p] > L[q]) { //we find the ancestor of node p situated on the same level //with q using the values in P int qOneLevelBelow = L[q]+1; for (i = log; i >= 0; i--) if (L[p] - (1 << i) >= qOneLevelBelow) p = P[p][i]; if (T[p] == q) { return order[p]; } else { p = T[p]; } } //we compute LCA(p, q) using the values in P for (i = log; i >= 0; i--) if (P[p][i] != -1 && P[p][i] != P[q][i]) { p = P[p][i]; q = P[q][i]; } return max(order[p], order[q]); } int main() { scanf("%d%d%d", &N, &M, &K); REP(i,N) { scanf("%d", &amount[i]); T[i]=-1; } REP(i,M) { int from, to; scanf("%d%d", &from, &to); from--; to--; children[to].PB(from); T[from]=to; order[from]=i; } int fakeRoot = N; T[fakeRoot]=-1; int fakeOrder = M; order[fakeRoot] = fakeOrder++; amount[fakeRoot] = 0; REP(i,N) { if(T[i] != -1) continue; children[fakeRoot].PB(i); T[i]=fakeRoot; order[i]=fakeOrder++; } ++N; dfs(fakeRoot); process3(); REP(i,K) { int c, d; scanf("%d%d", &c, &d); c--; d--; flows[query(c,d)].PB(MP(c,d)); } LL res = 0; REP(i,M) { FOREACH(pit, flows[i]) { int c = pit->first; int d = pit->second; int mincd = min(amount[c], amount[d]); res += 2*mincd; amount[c] -= mincd; amount[d] -= mincd; } } printf("%lld\n", res); 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 | #include <cstdio> #include <cstring> #include <cmath> #include <cassert> #include <iostream> #include <algorithm> #include <iterator> #include <string> #include <vector> #include <queue> #include <bitset> #include <utility> #include <stack> using namespace std; typedef long long LL; typedef pair<int,int> PII; typedef vector<int> VI; #define MP make_pair #define FOR(v,p,k) for(int v=(p);v<=(k);++v) #define FORD(v,p,k) for(int v=(p);v>=(k);--v) #define REP(i,n) for(int i=0;i<(n);++i) #define VAR(v,i) __typeof(i) v=(i) #define FOREACH(i,c) for(VAR(i,(c).begin());i!=(c).end();++i) #define PB push_back #define ST first #define ND second #define SIZE(x) (int)x.size() #define ALL(c) c.begin(),c.end() #define ODD(x) ((x)%2) #define EVEN(x) (!(ODD(x))) // copied and modified from: // http://www.topcoder.com/tc?d1=tutorials&d2=lowestCommonAncestor&module=Static#Another easy solution in O(N logN, O(logN) #define MAXN 200009 #define LOGMAXN 20 int T[MAXN]; int P[MAXN][LOGMAXN]; int L[MAXN]; vector<PII> flows[MAXN]; VI children[MAXN]; int amount[MAXN]; int order[MAXN]; int N, M, K; void dfs(int node, int level = 0) { vector<PII> dfsStack; dfsStack.PB(MP(node, level)); while (!dfsStack.empty()) { node = dfsStack.back().first; level = dfsStack.back().second; dfsStack.pop_back(); L[node]=level; FOREACH(it, children[node]) { dfsStack.PB(MP(*it, level+1)); } } } void process3() { int i, j; //we initialize every element in P with -1 for (i = 0; i < N; i++) for (j = 0; 1 << j < N; j++) P[i][j] = -1; //the first ancestor of every node i is T[i] for (i = 0; i < N; i++) P[i][0] = T[i]; //bottom up dynamic programing for (j = 1; 1 << j < N; j++) for (i = 0; i < N; i++) if (P[i][j - 1] != -1) P[i][j] = P[P[i][j - 1]][j - 1]; } int query(int p, int q) { int log, i; //if p is situated on a higher level than q then we swap them if (L[p] < L[q]) swap(p,q); //we compute the value of [log(L[p)] for (log = 1; 1 << log <= L[p]; log++); log--; if (L[p] > L[q]) { //we find the ancestor of node p situated on the same level //with q using the values in P int qOneLevelBelow = L[q]+1; for (i = log; i >= 0; i--) if (L[p] - (1 << i) >= qOneLevelBelow) p = P[p][i]; if (T[p] == q) { return order[p]; } else { p = T[p]; } } //we compute LCA(p, q) using the values in P for (i = log; i >= 0; i--) if (P[p][i] != -1 && P[p][i] != P[q][i]) { p = P[p][i]; q = P[q][i]; } return max(order[p], order[q]); } int main() { scanf("%d%d%d", &N, &M, &K); REP(i,N) { scanf("%d", &amount[i]); T[i]=-1; } REP(i,M) { int from, to; scanf("%d%d", &from, &to); from--; to--; children[to].PB(from); T[from]=to; order[from]=i; } int fakeRoot = N; T[fakeRoot]=-1; int fakeOrder = M; order[fakeRoot] = fakeOrder++; amount[fakeRoot] = 0; REP(i,N) { if(T[i] != -1) continue; children[fakeRoot].PB(i); T[i]=fakeRoot; order[i]=fakeOrder++; } ++N; dfs(fakeRoot); process3(); REP(i,K) { int c, d; scanf("%d%d", &c, &d); c--; d--; flows[query(c,d)].PB(MP(c,d)); } LL res = 0; REP(i,M) { FOREACH(pit, flows[i]) { int c = pit->first; int d = pit->second; int mincd = min(amount[c], amount[d]); res += 2*mincd; amount[c] -= mincd; amount[d] -= mincd; } } printf("%lld\n", res); return 0; } |