Submission #1074884

#	Time	Username	Problem	Language	Result	Execution time	Memory
1074884		c2zi6	Digital Circuit (IOI22_circuit)	C++17	18 / 100	3030 ms	8688 KiB

circuit

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define replr(i, a, b) for (int i = int(a); i <= int(b); ++i)
#define reprl(i, a, b) for (int i = int(a); i >= int(b); --i)
#define rep(i, n) for (int i = 0; i < int(n); ++i)
#define mkp(a, b) make_pair(a, b)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<PII> VPI;
typedef vector<VI> VVI;
typedef vector<VVI> VVVI;
typedef vector<VPI> VVPI;
typedef pair<ll, ll> PLL;
typedef vector<ll> VL;
typedef vector<PLL> VPL;
typedef vector<VL> VVL;
typedef vector<VVL> VVVL;
typedef vector<VPL> VVPL;
template<class T> T setmax(T& a, T b) {if (a < b) return a = b; return a;}
template<class T> T setmin(T& a, T b) {if (a < b) return a; return a = b;}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template<class T>
using indset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#include "circuit.h"

const ll MOD = 1000002022;

VL contr;
struct SEGTREE {
    int n;
    VL tree1, tree2;
    VI lazy;
    SEGTREE(){}
    SEGTREE(VI val) {
        n = 1;
        while (n < val.size()) n *= 2;
        tree1 = tree2 = VL(2*n);
        lazy = VI(2*n);
        rep(i, val.size()) {
            if (val[i]) tree1[i + n-1] = contr[i];
            else tree2[i + n-1] = contr[i];
        }
        build(0, 0, n-1);
    }
    void build(int N, int L, int R) {
        if (L == R) return;
        int M = (L + R) / 2;
        build(2*N+1, L, M);
        build(2*N+2, M+1, R);
        tree1[N] = tree1[2*N+1] + tree1[2*N+2];
        tree2[N] = tree2[2*N+1] + tree2[2*N+2];
    }
    void push(int N) {
        if (lazy[N]%2) swap(tree1[N], tree2[N]);
        if (2*N+2 < n) {
            lazy[2*N+1] += lazy[N];
            lazy[2*N+2] += lazy[N];
        }
        lazy[N] = 0;
    }
    void upd(int N, int L, int R, int l, int r) {
        push(N);
        if (R < l || L > r) return;
        if (l <= L && R <= r) {
            lazy[N]++;
            push(N);
            return;
        }
        int M = (L + R) / 2;
        upd(2*N+1, L, M, l, r);
        upd(2*N+2, M+1, R, l, r);
        tree1[N] = (tree1[2*N+1] + tree1[2*N+2]) % MOD;
        tree2[N] = (tree2[2*N+1] + tree2[2*N+2]) % MOD;
    }
    void upd(int l, int r) {
        upd(0, 0, n-1, l, r);
    }
    ll get() {
        return tree1[0];
    }
} seg;

bool test6;

int n, sz;
VVI gp;
VI val;

VL dpa; // sev
VL dpb; // spitak
VI depth;


void dfs2(int u = 0) {
    for (int v : gp[u]) {
        depth[v] = depth[u]+1;
        dfs2(v);
    }
}

void init(int N, int M, VI P, VI A) {
    n = N + M;
    sz = M;
    gp = VVI(n);
    rep(u, n) if (u) gp[P[u]].pb(u);
    val = VI(n);
    rep(u, M) val[u+N] = A[u];
    depth = VI(n);
    test6 = true;
    rep(u, n) if (gp[u].size() != 2) test6 = false;
    if (test6) {
        dfs2();
        contr = VL(n);
        VL twopow(n+1);
        twopow[0] = 1;
        replr(i, 1, n) twopow[i] = twopow[i-1]*2 % MOD;
        rep(u, n) contr[u] = twopow[N - depth[u]];
        seg = SEGTREE(val);
    }
}

VL subsets(VL& a, VL& b) {
    int n = a.size();
    VVL dp(n+1, VL(n+1));
    dp[0][0] = 1;
    replr(j, 1, n) dp[j][0] = dp[j-1][0]*b[j-1]%MOD;
    replr(i, 1, n) replr(j, 1, n) {
        dp[i][j] = dp[i-1][j-1]*a[i-1]%MOD + dp[i-1][j]*b[i-1]%MOD;
        dp[i][j] %= MOD;
    }
    VL ret(n+1);
    replr(i, 0, n) ret[i] = dp[n][i];
    return ret;
}
void dfs1(int u = 0) {
    for (int v : gp[u]) dfs1(v);
    dpa[u] = dpb[u] = 0;
    if (gp[u].size() == 0) {
        if (val[u]) dpa[u] = 1;
        else dpb[u] = 1;
        return;
    }
    VL a, b;
    for (int v : gp[u]) {
        a.pb(dpa[v]);
        b.pb(dpb[v]);
    }
    int c = gp[u].size();
    VL s = subsets(a, b);
    replr(i, 0, c) {
        dpa[u] += s[i]*i % MOD;
        dpa[u] %= MOD;
        dpb[u] += s[i]*(c-i) % MOD;
        dpb[u] %= MOD;
    }
}

int count_ways(int L, int R) {
    if (test6) {
        seg.upd(L, R);
        return seg.get();
    } else {
        replr(i, L, R) val[i] = !val[i];
        dpa = dpb = VL(n);
        dfs1();
        return dpa[0];
    }
    return -1488;
}

Compilation message (stderr)

circuit.cpp: In constructor 'SEGTREE::SEGTREE(VI)':
circuit.cpp:44:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |         while (n < val.size()) n *= 2;
      |                ~~^~~~~~~~~~~~

• Subtask 1: 2 / 2
• Subtask 2: 7 / 7
• Subtask 3: 9 / 9
• Subtask 4: 0 / 4
• Subtask 5: 0 / 12
• Subtask 6: 0 / 27
• Subtask 7: 0 / 28
• Subtask 8: 0 / 11