Submission #951132

#TimeUsernameProblemLanguageResultExecution timeMemory
951132Trisanu_DasComparing Plants (IOI20_plants)C++17
100 / 100
212 ms16212 KiB
#include "plants.h" #include <bits/stdc++.h> using namespace std; const int n_bits=18; const int inf = 1e9; const int n_max = 2e5+5; int arr[1<<(n_bits+1)]; int lazyadd[1<<(n_bits+1)]; int p_lt[n_max]; int p_rg[n_max]; int stash[n_max]; // a manual queue int tallest[n_max]; int shortest[n_max]; struct segtree { int node = 1; int lazy = 0; segtree(){} void build(vector<int> &v) { assert(v.size()<(1<<n_bits)); for(int i=0; i<(1<<n_bits); i++) { arr[i+(1<<n_bits)] = (i<(int)v.size() ? v[i] : inf); } for(int i=(1<<n_bits)-1; i>=1; i--) { arr[i] = min(arr[2*i], arr[2*i+1]); } for(int i=0; i<(1<<(n_bits+1)); i++) { lazyadd[i] = 0; } } void prefix_update(int x, int change) { if(x==-1) return; x += (1<<n_bits); lazyadd[x] += change; for(int i=0; i<n_bits; i++) { if(x&1) { lazyadd[x-1] += change; } arr[x/2] = min(arr[x]+lazyadd[x], arr[x^1]+lazyadd[x^1]); x=x/2; } } void decr(int left, int right) { prefix_update(left-1, 1); prefix_update(right,-1); } int find_and_remove_zero() { node = 1; lazy = 0; for(int i=0; i<n_bits; i++) { lazy += lazyadd[node]; node *= 2; if(lazy + lazyadd[node] + arr[node]) node++; } int ans = node - (1<<n_bits); lazyadd[node] = 1e9; for(int i=0; i<n_bits; i++) { arr[node/2] = min(arr[node]+lazyadd[node], arr[node^1]+lazyadd[node^1]); node = node/2; } return ans; } }; void lexi_smallest(int k, vector<int> &r, int* ptr, int* ord) { segtree s; s.build(r); int n = r.size(); stash[0] = n; ord[n] = -1; int* fr = stash+1; int* bk = stash+1; for(int i=0; i<(int)r.size(); i++) { while(lazyadd[1] + arr[1]) { s.decr((*fr++)-k+1+n, n-1); } int p = s.find_and_remove_zero(); ord[p] = i; if(p<k-1) { s.prefix_update(p, -1); *bk++ = p; } else { s.decr(p-k+1, p); } ptr[p] = ord[*(fr-1)]; } } void init(int k, std::vector<int> r) { lexi_smallest(k,r,p_lt, tallest); for(int &i: r) i = k-1-i; lexi_smallest(k,r,p_rg, shortest); } int compare_plants(int x, int y) { if(x>y) return -compare_plants(y,x); if(tallest[x]>tallest[y] || p_rg[y]>=shortest[x]) return -1; if(shortest[x]>shortest[y] || p_lt[y]>=tallest[x]) return 1; return 0; }
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