Submission #1078717

#TimeUsernameProblemLanguageResultExecution timeMemory
1078717Gromp15Digital Circuit (IOI22_circuit)C++17
50 / 100
3030 ms11200 KiB
#include <bits/stdc++.h> #define ll long long #define sz(x) (int)x.size() #define ar array #include "circuit.h" using namespace std; const int mod = int(1e9) + 2022; void fadd(int &a, int b) { a += b; if (a >= mod) a -= mod; } int add(int x, int y) { return x+y >= mod ? x+y-mod : x+y; } struct seg { int N; vector<int> tree, tot, lazy; seg() {} seg(int n, const vector<int>& v, const vector<int>& a) : N(1<<(__lg(n)+1)), tree(2*N), tot(2*N), lazy(2*N) { for (int i = 0; i < n; i++) tot[i+N] = v[i], tree[i+N] = v[i] * a[i]; for (int i = N-1; i >= 1; i--) tot[i] = add(tot[i*2], tot[i*2+1]), tree[i] = add(tree[i*2], tree[i*2+1]); } void push(int node) { if (!lazy[node]) return; tree[node] = tot[node] - tree[node]; if (tree[node] < 0) tree[node] += mod; if (node < N) { lazy[node*2] ^= 1; lazy[node*2+1] ^= 1; } lazy[node] = 0; } void update(int node, int nl, int nr, int ql, int qr) { push(node); if (ql > nr || qr < nl) return; if (ql <= nl && nr <= qr) { lazy[node] ^= 1; push(node); return; } int mid = (nl+nr)/2; update(node*2, nl, mid, ql, qr); update(node*2+1, mid+1, nr, ql, qr); tree[node] = add(tree[node*2], tree[node*2+1]); } } st; vector<int> p, a, sub, sub2, val; vector<vector<int>> adj; int n, m; void init(int N, int M, std::vector<int> P, std::vector<int> A) { n = N, m = M; p = P, a = A; adj.resize(N), sub.resize(N+M, 1), sub2.resize(N+M, 1); for (int i = 1; i < N + M; i++) adj[P[i]].emplace_back(i); for (int i = N-1; i >= 0; i--) { sub[i] = sz(adj[i]); int cur = sz(adj[i]); vector<int> pref(cur), suff(cur); for (int j = 0; j < cur; j++) { pref[j] = suff[j] = sub[adj[i][j]]; } for (int j = 1; j < cur; j++) pref[j] = (ll)pref[j-1] * pref[j] % mod; for (int j = cur-2; j >= 0; j--) suff[j] = (ll)suff[j+1] * suff[j] % mod; for (int j = 0; j < cur; j++) { int u = adj[i][j]; sub[i] = (ll)sub[i] * sub[u] % mod; sub2[u] = (ll)(j ? pref[j-1] : 1) * (j+1 < cur ? suff[j+1] : 1) % mod; } } val.resize(N+M); val[0] = 1; for (int i = 1; i < N + M; i++) val[i] = (ll)val[p[i]] * sub2[i] % mod; vector<int> val2(M); for (int i = N; i < N+M; i++) val2[i-N] = val[i]; st = seg(m, val2, A); } int count_ways(int L, int R) { for (int i = L-n; i <= R-n; i++) a[i] ^= 1; st.update(1, 0, st.N-1, L - n, R - n); return st.tree[1]; }
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