Submission #412456

#TimeUsernameProblemLanguageResultExecution timeMemory
412456azberjibiouRainforest Jumps (APIO21_jumps)C++17
100 / 100
1716 ms54976 KiB
#include "jumps.h" #include <bits/stdc++.h> #define gibon ios::sync_with_stdio(false); cin.tie(0); #define bp __builtin_popcount #define fir first #define sec second #define pii pair<int, int> #define pll pair<ll, ll> #pragma GCC optimize("O3") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") typedef long long ll; using namespace std; int dx[4]={0, 1, 0, -1}, dy[4]={1, 0, -1 , 0}; const int mxN=200100; const int mxM=104; const int mxK=50000; const int MOD=1000000007; const ll INF=100000000000001; int N; int H[mxN]; stack <pii> stk; int L[mxN], R[mxN]; void make_link() { for(int i=0;i<N;i++) { while(!stk.empty()) { pii now=stk.top(); if(now.sec<H[i]) stk.pop(); else break; } if(!stk.empty()) L[i]=stk.top().fir; else L[i]=i; stk.push({i, H[i]}); } while(!stk.empty()) stk.pop(); for(int i=N-1;i>=0;i--) { while(!stk.empty()) { pii now=stk.top(); if(now.sec<H[i]) stk.pop(); else break; } if(!stk.empty()) R[i]=stk.top().fir; else R[i]=i; stk.push({i, H[i]}); } } int spL[mxN][20], spR[mxN][20]; int spI[mxN][20]; void make_sparse() { for(int i=0;i<N;i++) { spL[i][0]=L[i], spR[i][0]=R[i]; } for(int i=1;i<20;i++) { for(int j=0;j<N;j++) { spL[j][i]=spL[spL[j][i-1]][i-1]; spR[j][i]=spR[spR[j][i-1]][i-1]; } } for(int i=0;i<N;i++) spI[i][0]=(H[L[i]]<H[R[i]] ? R[i] : L[i]); for(int i=1;i<20;i++) { for(int j=0;j<N;j++) { spI[j][i]=spI[spI[j][i-1]][i-1]; } } } int seg[4*mxN]; void init_seg(int idx, int s, int e) { if(s==e) { seg[idx]=H[s]; return; } int mid=(s+e)/2; init_seg(2*idx, s, mid); init_seg(2*idx+1, mid+1, e); seg[idx]=max(seg[2*idx], seg[2*idx+1]); } int solv(int idx, int s1, int e1, int s2, int e2) { if(s2>e1 || s1>e2) return 0; if(s2<=s1 && e1<=e2) return seg[idx]; int mid=(s1+e1)/2; return max(solv(2*idx, s1, mid, s2, e2), solv(2*idx+1, mid+1, e1, s2, e2)); } void init(int n, std::vector<int> h) { N=n; for(int i=0;i<N;i++) H[i]=h[i]; make_link(); make_sparse(); init_seg(1, 0, N-1); } int minimum_jumps(int A, int B, int C, int D) { int cnt=0; if(solv(1, 0, N-1, B, C-1)>solv(1, 0, N-1, C, D)) return -1; if(B==C-1) return 1; int minH, maxH; maxH=solv(1, 0, N-1, C, D); minH=solv(1, 0, N-1, B+1, C-1); int ABnow=B; for(int i=19;i>=0;i--) { if(H[spL[ABnow][i]]<maxH && spL[ABnow][i]>=A) ABnow=spL[ABnow][i]; } if(H[ABnow]>minH) return 1; for(int i=19;i>=0;i--) { if(H[spI[ABnow][i]]<minH) { ABnow=spI[ABnow][i]; cnt+=(1<<i); } } if(R[ABnow]>=C) return cnt+1; if(H[L[ABnow]]>minH && H[L[ABnow]]<maxH) return cnt+2; for(int i=19;i>=0;i--) { if(spR[ABnow][i]<C) { ABnow=spR[ABnow][i]; cnt+=(1<<i); } } return cnt+1; }
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