Submission #403385

#TimeUsernameProblemLanguageResultExecution timeMemory
403385Magnam_CaritatemSwapping Cities (APIO20_swap)C++17
100 / 100
408 ms36376 KiB
/* Task : swap Author : Phumipat C. [MAGCARI] Language: C++ Created : 13 May 2021 [12:22] Algo : Status : */ #include<bits/stdc++.h> #include "swap.h" #define rep(i, a, b) for(int i = a; i < (b); ++i) #define all(x) begin(x),end(x) #define allst(x,y) (x).begin()+y,(x).end() #define rmdup(x) (x).resize(unique((x).begin(),(x).end())-(x).begin()) #define sz(x) (int)(x).size() #define decp(x) fixed << setprecision(x) #define MOD (LL )(1e9+7) using namespace std; using LL = long long; using PII = pair<int ,int >; using PLL = pair<long long ,long long >; const int dir4[2][4] = {{1,-1,0,0},{0,0,1,-1}}; const int dir8[2][8] = {{-1,-1,-1,0,1,1,1,0},{-1,0,1,1,-1,0,1,-1}}; LL modN(LL a,LL b,LL c = MOD){ if(b == 0) return 1; if(b == 1) return a%c; LL now = modN(a,b/2,c); if(b&1) return (((now*now)%c)*(a%c))%c; else return (now*now)%c; } struct A{ int u,v,w; bool operator < (const A&o) const{ return w<o.w; } }; const int mxN = 300010; vector<A > edges; int p[mxN],deg[mxN],mx[mxN]; bool hide[mxN]; int fr(int u){ return (u == p[u])?u:p[u] = fr(p[u]); } int LCA[mxN][20],lv[mxN]; void init(int N, int M, std::vector<int> U, std::vector<int> V, std::vector<int> W) { iota(p,p+N+M,0); for(int i=0;i<N+M;i++) LCA[i][0] = i; for(int i=0;i<M;i++) edges.push_back({U[i],V[i],W[i]}); sort(all(edges)); int cnt = N; for(auto x:edges){ int ru = fr(x.u),rv = fr(x.v); p[ru] = p[rv] = cnt; LCA[ru][0] = LCA[rv][0] = cnt; deg[x.u]++,deg[x.v]++; // Check if this path can hide mx[cnt] = x.w; if(ru == rv || deg[x.u]>2 || deg[x.v]>2 || hide[ru] || hide[rv]) hide[cnt] = true; cnt++; } for(int i=cnt-1;i>=0;i--){ for(int j=1;j<=17;j++) LCA[i][j] = LCA[LCA[i][j-1]][j-1]; lv[i] = lv[LCA[i][0]] + 1; } } int find_LCA(int u,int v){ if(lv[u]<lv[v]) swap(u,v); for(int i=17;i>=0;i--){ if(lv[LCA[u][i]]<lv[v]) continue; u = LCA[u][i]; } if(u == v) return u; for(int i=17;i>=0;i--){ if(LCA[u][i] == LCA[v][i]) continue; u = LCA[u][i],v = LCA[v][i]; } return LCA[u][0]; } int getMinimumFuelCapacity(int X, int Y) { int pa = find_LCA(X,Y); if(hide[pa]) return mx[pa]; for(int i=17;i>=0;i--){ if(hide[LCA[pa][i]]) continue; pa = LCA[pa][i]; } pa = LCA[pa][0]; return (hide[pa]?mx[pa]:-1); } // int main() { // int N, M; // assert(2 == scanf("%d %d", &N, &M)); // std::vector<int> U(M), V(M), W(M); // for (int i = 0; i < M; ++i) { // assert(3 == scanf("%d %d %d", &U[i], &V[i], &W[i])); // } // int Q; // assert(1 == scanf("%d", &Q)); // std::vector<int> X(Q), Y(Q); // for (int i = 0; i < Q; ++i) { // assert(2 == scanf("%d %d", &X[i], &Y[i])); // } // init(N, M, U, V, W); // std::vector<int> minimum_fuel_capacities(Q); // for (int i = 0; i < Q; ++i) { // minimum_fuel_capacities[i] = getMinimumFuelCapacity(X[i], Y[i]); // } // for (int i = 0; i < Q; ++i) { // printf("%d\n", minimum_fuel_capacities[i]); // } // return 0; // }
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