Submission #757164

#	Time	Username	Problem	Language	Result	Execution time	Memory
757164		boris_mihov	Digital Circuit (IOI22_circuit)	C++17	100 / 100	1278 ms	48376 KiB

circuit

#include "circuit.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <vector>
 
typedef long long llong;
const int MAXN = 200000 + 10;
const int MOD = 1000002022;
const int INF = 1e9;

int n, m;
struct SegmentTree
{
    struct Node
    {
        llong realVal, swapVal;
        bool lazy;

        Node()
        {
            realVal = swapVal = lazy = 0;
        }
    };

    Node tree[2*MAXN]; // 2 * MAXN * 2

    Node combine(Node left, Node right)
    {
        Node res;
        res.realVal = left.realVal + right.realVal;
        res.swapVal = left.swapVal + right.swapVal;
        if (res.realVal >= MOD) res.realVal -= MOD;
        if (res.swapVal >= MOD) res.swapVal -= MOD;
        return res;
    }

    void push(int node, int l, int r)
    {
        if (!tree[node].lazy)
        {
            return;
        }

        std::swap(tree[node].realVal, tree[node].swapVal);
        if (l < r)
        {
            tree[2*node].lazy ^= 1;
            tree[2*node + 1].lazy ^= 1;
        }

        tree[node].lazy = 0;
    }

    void build(int l, int r, int node, llong vals[], llong b[])
    {
        if (l == r)
        {
            tree[node].realVal = vals[n + l];
            tree[node].swapVal = 0;

            if (b[n + l] == 0)
            {
                std::swap(tree[node].realVal, tree[node].swapVal);   
            }

            return;
        }

        int mid = (l + r) / 2;
        build(l, mid, 2*node, vals, b);
        build(mid + 1, r, 2*node + 1, vals, b);
        tree[node] = combine(tree[2*node], tree[2*node + 1]);
    }

    void update(int l, int r, int node, int queryL, int queryR)
    {
        push(node, l, r);
        if (queryR < l || r < queryL)
        {
            return;
        }

        if (queryL <= l && r <= queryR)
        {
            tree[node].lazy ^= 1;
            push(node, l, r);
            return;
        }

        int mid = (l + r) / 2;
        update(l, mid, 2*node, queryL, queryR);
        update(mid + 1, r, 2*node + 1, queryL, queryR);
        tree[node] = combine(tree[2*node], tree[2*node + 1]);
    }

    void build(llong multBy[], llong b[])
    {
        build(1, m, 1, multBy, b);
    }

    llong query(int l, int r)
    {
        update(1, m, 1, l - n + 1, r - n + 1);
        return tree[1].realVal;
    }
};

llong w[MAXN];
llong b[MAXN];
llong pw[MAXN];
llong multBy[MAXN];
std::vector <int> g[MAXN];
std::vector <int> prefixPW[MAXN];
std::vector <int> suffixPW[MAXN];
SegmentTree tree;

void initDFS(int node)
{
    if (g[node].empty())
    {
        pw[node] = 1;
        return;
    }
    
    pw[node] = g[node].size();
    for (const int &i : g[node])
    {
        initDFS(i);
        pw[node] *= pw[i];
        pw[node] %= MOD;
    }

    prefixPW[node].resize(g[node].size());
    prefixPW[node][0] = 1;

    for (int i = 1 ; i < g[node].size() ; ++i)
    {
        prefixPW[node][i] = (prefixPW[node][i - 1] * pw[g[node][i - 1]]) % MOD;
    }

    suffixPW[node].resize(g[node].size());
    suffixPW[node][g[node].size() - 1] = 1;
    for (int i = (int)g[node].size() - 2 ; i >= 0 ; --i)
    {
        suffixPW[node][i] = (suffixPW[node][i + 1] * pw[g[node][i + 1]]) % MOD;
    }
}

void findMult(int node, llong mult)
{
    if (g[node].empty())
    {
        multBy[node] = mult;
        return;
    }
    
    for (int i = 0 ; i < g[node].size() ; ++i)
    {
        findMult(g[node][i], (((mult * prefixPW[node][i]) % MOD) * suffixPW[node][i]) % MOD);
    }
}

void init(int N, int M, std::vector <int> P, std::vector <int> A) 
{
    n = N;
    m = M;
    for (int i = 1 ; i < n + m ; ++i)
    {
        g[P[i] + 1].push_back(i + 1);
    }
 
    for (int i = n + 1 ; i <= n + m ; ++i)
    {
        if (A[i - n - 1] == 0)
        {
            w[i] = 1;
            b[i] = 0;
        } else
        {
            b[i] = 1;
            w[i] = 0;
        }
    }

    initDFS(1);
    findMult(1, 1);
    tree.build(multBy, b);
}
 
int count_ways(int L, int R) 
{
    return tree.query(L, R);
}

Compilation message (stderr)

circuit.cpp: In function 'void initDFS(int)':
circuit.cpp:137:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  137 |     for (int i = 1 ; i < g[node].size() ; ++i)
      |                      ~~^~~~~~~~~~~~~~~~
circuit.cpp: In function 'void findMult(int, llong)':
circuit.cpp:158:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |     for (int i = 0 ; i < g[node].size() ; ++i)
      |                      ~~^~~~~~~~~~~~~~~~

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