제출 #567381

#제출 시각아이디문제언어결과실행 시간메모리
567381amunduzbaev밀림 점프 (APIO21_jumps)C++17
81 / 100
4057 ms709536 KiB
#include "jumps.h" #ifndef EVAL #include "stub.cpp" #endif #include "bits/stdc++.h" using namespace std; const int B = 635; const int N = 2e5 + 5; const int M = N / B + 5; const int lg = 18; vector<int> edges[N]; int mx[N][lg], mn[N][lg], h[N], pos[N]; int st[N][lg], pre[N]; int lx[N], rx[N], is; struct ST{ int tree[N << 2]; void build(int lx = 0, int rx = N - 1, int x = 1){ if(lx == rx) { tree[x] = pre[lx]; return; } int m = (lx + rx) >> 1; build(lx, m, x << 1); build(m + 1, rx, x << 1 | 1); tree[x] = min(tree[x<<1], tree[x<<1 | 1]); } int get(int l, int r, int lx = 0, int rx = N - 1, int x = 1){ if(lx > r || rx < l) return N; if(lx >= l && rx <= r) return tree[x]; int m = (lx + rx) >> 1; return min(get(l, r, lx, m, x<<1), get(l, r, m+1, rx, x<<1|1)); } }tree[M]; void init(int n, vector<int> H){ for(int i=0;i<n;i++){ h[i] = H[i]; pos[h[i]] = i; st[i][0] = h[i]; } vector<int> ss; for(int i=0;i<n;i++){ while(!ss.empty() && h[ss.back()] < h[i]) ss.pop_back(); if(!ss.empty()) lx[i] = ss.back(); else lx[i] = n; ss.push_back(i); } ss.clear(); for(int i=n-1;~i;i--){ while(!ss.empty() && h[ss.back()] < h[i]) ss.pop_back(); if(!ss.empty()) rx[i] = ss.back(); else rx[i] = n; ss.push_back(i); } ss.clear(); h[n] = N; for(int i=0;i<n;i++){ if(h[lx[i]] < h[rx[i]]){ swap(lx[i], rx[i]); } edges[lx[i]].push_back(i); edges[rx[i]].push_back(i); mn[i][0] = rx[i]; mx[i][0] = lx[i]; lx[i] = min(lx[i], rx[i]); if(i < lx[i]) lx[i] = -1; } mn[n][0] = mx[n][0] = n; edges[n].clear(); for(int b=0;b * B<n;b++){ for(int i=0;i<n;i++) pre[i] = N; queue<int> q; for(int i=0;b * B + i<n && i<B;i++){ q.push(b * B + i); pre[b * B + i] = 0; } while(!q.empty()){ int u = q.front(); q.pop(); for(auto x : edges[u]){ if(pre[x] > pre[u] + 1){ pre[x] = pre[u] + 1; q.push(x); } } } tree[b].build(); } for(int j=1;j<lg;j++){ for(int i=0;i<=n;i++){ if(i + (1 << (j - 1)) < n) st[i][j] = max(st[i][j - 1], st[i + (1 << (j - 1))][j-1]); mn[i][j] = mn[mn[i][j-1]][j-1]; mx[i][j] = mx[mx[i][j-1]][j-1]; } } is = 1; for(int i=0;i<n;i++){ if(h[i] != i + 1) is = 0; } } int get(int l, int r){ int lg = __lg(r - l + 1); return max(st[l][lg], st[r - (1 << lg) + 1][lg]); } int check(int a, int c){ int res = 0; for(int i=lg-1;~i;i--){ if(h[mx[a][i]] <= h[c]){ //~ cout<<mx[a][i]<<" "<<h[mx[a][i]]<<" "<<h[c]<<"\n"; //~ cout<<i<<"\n"; a = mx[a][i], res += (1 << i); } } for(int i=lg-1;~i;i--){ if(h[mn[a][i]] <= h[c]){ //~ cout<<mx[a][i]<<" "<<h[mx[a][i]]<<" "<<h[c]<<"\n"; a = mn[a][i], res += (1 << i); } } if(a != c) return N; return res; } int minimum_jumps(int a, int b, int c, int d) { if(is) return c - b; int bl = c / B, br = d / B; int res = N; for(int j=bl+1;j<br;j++){ //~ assert(false); res = min(res, tree[j].get(a, b)); } auto calc = [&](int l, int r){ for(int i=l;i<=r;i++){ int L = max(lx[i] + 1, a); if(L <= b){ int mx = pos[get(L, b)]; res = min(res, check(mx, i)); } } }; if(bl == br){ calc(c, d); } else { if(c % B == 0) res = min(res, tree[bl].get(a, b)); else calc(c, (bl + 1) * B - 1); if((d + 1) % B == 0) res = min(res, tree[br].get(a, b)); else calc(br * B, d); } if(res == N) return -1; return res; } /* 7 2 3 2 1 6 4 5 7 4 4 6 6 0 1 2 2 */
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