Submission #1128305

#TimeUsernameProblemLanguageResultExecution timeMemory
1128305ByeWorldRainforest Jumps (APIO21_jumps)C++20
100 / 100
1006 ms104068 KiB
#include "jumps.h" #include <bits/stdc++.h> #define ll long long #define pb push_back #define fi first #define se second #define lf (id<<1) #define rg ((id<<1)|1) #define md ((l+r)>>1) #define ld long double using namespace std; typedef pair<int,int> pii; typedef pair<char,char> pcc; typedef pair<int,pii> ipii; typedef pair<pii,pii> ipiii; const int MAXN = 2e5+10; const int LOG = 20; const int MAXA = 1e6; const int INF = 2e9; int n, h[MAXN]; int le[MAXN], ri[MAXN], anc[MAXN][LOG+5]; int up[MAXN][LOG+5], dw[MAXN][LOG+5]; pii mx[MAXN][LOG+5]; pii MX(int le, int ri){ if(le > ri) return pii(-INF, 0); int len = log2(ri-le+1); return max(mx[le][len], mx[ri-(1<<len)+1][len]); } void init(int N, std::vector<int> H) { n = N; for(int i=1; i<=n; i++){ h[i] = H[i-1]; mx[i][0] = {h[i], i}; } for(int j=1; j<LOG; j++){ for(int i=1; i+(1<<j)-1<=n; i++){ mx[i][j] = max(mx[i][j-1], mx[i+(1<<(j-1))][j-1]); } } h[0] = h[n+1] = -INF; ri[n+1] = n+1; for(int j=0; j<LOG; j++) for(int i=0; i<=n+1; i++) anc[i][j] = up[i][j] = n+1, dw[i][j] = 0; vector <pii> vec; for(int i=n; i>=1; i--){ while(!vec.empty() && h[i] > vec.back().fi) vec.pop_back(); if(!vec.empty()){ ri[i] = vec.back().se; // cout << i << ' ' << vec.back().se << " pp\n"; } else ri[i] = n+1; up[i][0] = ri[i]; vec.pb({h[i], i}); } vec.clear(); for(int i=1; i<=n; i++){ while(!vec.empty() && h[i] > vec.back().fi) vec.pop_back(); if(!vec.empty()){ le[i] = vec.back().se; // cout << i << ' ' << vec.back().se << " pp\n"; } else le[i] = 0; dw[i][0] = le[i]; vec.pb({h[i], i}); } for(int i=1; i<=n; i++){ if(h[le[i]] > h[ri[i]]) anc[i][0] = le[i]; else anc[i][0] = ri[i]; } for(int j=1; j<LOG; j++) for(int i=1; i<=n; i++) anc[i][j] = anc[ anc[i][j-1] ][j-1], up[i][j] = up[ up[i][j-1] ][j-1], dw[i][j] = dw[ dw[i][j-1] ][j-1]; } int cost(int sta, int en){ int tot = 0; for(int i=LOG-1; i>=0; i--){ if(anc[sta][i]!=n+1 && anc[sta][i]!=0 && h[ anc[sta][i] ] <= h[en]){ sta = anc[sta][i]; tot += (1<<i); } } for(int i=LOG-1; i>=0; i--){ if(up[sta][i]!=n+1 && up[sta][i] <= en){ sta = up[sta][i]; tot += (1<<i); } } if(sta == en) return tot; return INF; } int minimum_jumps(int A, int B, int C, int D) { // goto right A++; B++; C++; D++; if(B == C-1){ if(C<=ri[B] && ri[B]<=D) return 1; return -1; } int mx = MX(B+1, C-1).fi; int jump = 0, idxj = 0; if(MX(A, B).fi > mx){ // bisa langsung int l=A, r=B, mid=0, cnt=A; while(l<=r){ // cari yg paling kanan lebih dr mx mid = md; if(MX(mid, B).fi > mx) l = mid+1, cnt = mid; else r = mid-1; } jump = 0; idxj = cnt; } else { // harus ke kiri dulu int nw = MX(A, B).se; // dari range max int l=1, r=A-1, mid=0, cnt=0; while(l<=r){ // paling kanan yg more mid = md; if(MX(mid, B).fi > mx) l = mid+1, cnt = mid; else r = mid-1; } // harus ke cnt for(int i=LOG-1; i>=0; i--){ // ke kiri if(anc[nw][i]!=n+1 && anc[nw][i]!=0 && h[ anc[nw][i] ] <= h[cnt]){ // ke cnt nw = anc[nw][i]; jump += (1<<i); } } idxj = cnt; } // cout << idxj << " idx\n"; // cout << jump << " jump\n"; int ans = INF; if(idxj!=0 && idxj!=n+1 && C<=ri[idxj] && ri[idxj]<=D) ans = jump+1; int l=A, r=B, mid=0, cnt=B; while(l<=r){ // cari max range yg < mx mid = md; if(MX(mid, B).fi < mx) cnt = mid, r = mid-1; else l = mid+1; } int sta = MX(cnt, B).se; // cout << sta << " sta\n"; l=C, r=D, mid=0, cnt=C; while(l<=r){ mid = md; if(MX(C, mid).fi > mx) cnt = mid, r = mid-1; else l = mid+1; } if(MX(C, D).fi < mx) return -1; // gk bisa ke sana int en = cnt; ans = min(ans, cost(sta, en)); return (ans > n ? -1 : ans); }
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