제출 #954913

#제출 시각아이디문제언어결과실행 시간메모리
954913Unforgettablepl밀림 점프 (APIO21_jumps)C++17
69 / 100
1004 ms123852 KiB
#include <bits/stdc++.h> using namespace std; #define int long long int L[200002][18]; int Left[200002][18]; int Right[200002][18]; int arr[200001]; int rarr[200001]; int tree[524288]; int R[200002][18]; int n; void update(int k,int x){ k+=262144; tree[k]=x; k/=2; while(k){ tree[k]=max(tree[2*k],tree[2*k+1]); k/=2; } } int get(int a,int b){ a+=262144;b+=262144; int ans = INT32_MIN; while(a<=b){ if(a&1)ans=max(ans,tree[a++]); if(b%2==0)ans=max(ans,tree[b--]); a/=2;b/=2; } return ans; } void init(int32_t N, vector<int32_t> H) { n=N; for(int i=0;i<N;i++)arr[i]=H[i]; for(int i=0;i<N;i++)rarr[arr[i]]=i; for(int i=0;i<N;i++)update(i,arr[i]); stack<int> q; for(int i=0;i<N;i++){ while(!q.empty() and q.top()<arr[i])q.pop(); if(!q.empty())Left[arr[i]][0]=L[arr[i]][0]=q.top(); else Left[arr[i]][0]=L[arr[i]][0]=n+1; q.emplace(arr[i]); } while(!q.empty())q.pop(); for(int i=N-1;i>=0;i--){ while(!q.empty() and q.top()<arr[i])q.pop(); if(!q.empty())Right[arr[i]][0]=R[arr[i]][0]=q.top(); else Right[arr[i]][0]=R[arr[i]][0]=n+1; q.emplace(arr[i]); } for(int bit=0;bit<=17;bit++)Right[n+1][bit]=Left[n+1][bit]=L[n+1][bit]=R[n+1][bit]=n+1; for(int i=1;i<=N;i++)if(L[i][0] > R[i][0])swap(L[i][0], R[i][0]); for(int bit=1;bit<=17;bit++){ for(int i=1;i<=N;i++){ R[i][bit] = R[R[i][bit - 1]][bit - 1]; } } for(int bit=1;bit<=17;bit++){ for(int i=1;i<=N;i++){ L[i][bit] = L[L[i][bit - 1]][bit - 1]; } } for(int bit=1;bit<=17;bit++){ for(int i=1;i<=N;i++){ Left[i][bit] = Left[Left[i][bit - 1]][bit - 1]; } } for(int bit=1;bit<=17;bit++){ for(int i=1;i<=N;i++){ Right[i][bit] = Right[Right[i][bit - 1]][bit - 1]; } } } int getans(int base,int tar){ int ans = 0; for(int jump=17;jump>=0;jump--){ if(R[base][jump] <= tar) { base = R[base][jump]; ans+=(1 << jump);} } for(int jump=17;jump>=0;jump--){ if(L[base][jump] <= tar) { base = L[base][jump]; ans+=(1 << jump);} } return base==tar ? ans : INT32_MAX; } int getrangeans(int A,int B,int tar){ int base = arr[B]; int limit = min(tar,get(A,B)); for(int jump=17;jump>=0;jump--){ if(Left[base][jump]<=limit)base=Left[base][jump]; } return getans(base,tar); } int algo2(int32_t A, int32_t B, int32_t C, int32_t D) { queue<pair<int,int>> q; for(int i=A;i<=B;i++)q.emplace(arr[i],0); vector<bool> visited(n+1); while(!q.empty()){ auto curr = q.front();q.pop(); if(visited[curr.first])continue; visited[curr.first]=true; if(C<=rarr[curr.first] and rarr[curr.first]<=D)return curr.second; if(Left[curr.first][0]!=n+1 and !visited[Left[curr.first][0]])q.emplace(Left[curr.first][0],curr.second+1); if(Right[curr.first][0]!=n+1 and !visited[Right[curr.first][0]])q.emplace(Right[curr.first][0],curr.second+1); } return -1; } int32_t minimum_jumps(int32_t A, int32_t B, int32_t C, int32_t D) { if(n<=2000)return algo2(A,B,C,D); int rightmax = get(C,D); int midmax = get(B+1,C-1); int leftmax = get(A,B); if(rightmax<midmax)return -1; int optR = arr[C]; if(optR<midmax){ for(int jump=17;jump>=0;jump--){ if(Right[optR][jump]<midmax)optR=Right[optR][jump]; } optR = Right[optR][0]; } int optL = arr[B]; if(leftmax<midmax)optL = INT32_MAX; else if(optL<midmax){ for(int jump=17;jump>=0;jump--){ if(Left[optL][jump]<midmax)optL=Left[optL][jump]; } optL = Left[optL][0]; } int ans = INT32_MAX; ans = min(ans, getrangeans(A,B,rightmax)); ans = min(ans, getrangeans(A,B,optR)); if(optL<rightmax)ans = min(ans,1ll); return ans>=INT32_MAX ? -1 : ans; } //int32_t main() { // int32_t N, Q; // assert(2 == scanf("%d %d", &N, &Q)); // std::vector<int32_t> H(N); // for (int32_t i = 0; i < N; ++i) { // assert(1 == scanf("%d", &H[i])); // } // init(N, H); // // for (int32_t i = 0; i < Q; ++i) { // int32_t A, B, C, D; // assert(4 == scanf("%d %d %d %d", &A, &B, &C, &D)); // printf("%d\n", minimum_jumps(A, B, C, D)); // } // return 0; //}
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