제출 #862518

#제출 시각아이디문제언어결과실행 시간메모리
862518boris_mihovMisspelling (JOI22_misspelling)C++17
89 / 100
2628 ms1048576 KiB
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <stack>

typedef long long llong;
const int MAXN = 500000 + 10;
const int ALPHABET = 26;
const int MOD = 1e9 + 7;

int n, m;
int l[MAXN];
int r[MAXN];
int type[MAXN];
int dp[MAXN][ALPHABET];
bool bl[MAXN][ALPHABET];
std::stack <int> active[ALPHABET][ALPHABET]; 
std::vector <int> begin[MAXN];
std::vector <int> end[MAXN];

int f(int pos, int letter)
{
    if (bl[pos][letter])
    {
        return dp[pos][letter];
    }

    int cntOne = 0;
    int cntTwo = 0;
    bl[pos][letter] = true;
    dp[pos][letter] = 1;

    for (int i = pos ; i < n ; ++i)
    {
        for (const int &j : begin[i])
        {
            cntOne += (type[j] == 1);
            cntTwo += (type[j] == 2);
        }

        for (const int &j : end[i])
        {
            if (l[j] < pos)
            {
                continue;
            }

            cntOne -= (type[j] == 1);
            cntTwo -= (type[j] == 2);
        }

        if (cntOne == 0)
        {
            for (int j = letter + 1 ; j < 26 ; ++j)
            {
                dp[pos][letter] += f(i + 1, j);
                if (dp[pos][letter] >= MOD) dp[pos][letter] -= MOD;
            }
        }

        if (cntTwo == 0)
        {
            for (int j = letter - 1 ; j >= 0 ; --j)
            {
                dp[pos][letter] += f(i + 1, j);
                if (dp[pos][letter] >= MOD) dp[pos][letter] -= MOD;
            }
        }
    }

    return dp[pos][letter];
}

void add(int &num, int &val)
{
    num += val;
    if (num >= MOD) num -= MOD;
}

void sub(int &num, int &val)
{
    num -= val;
    if (num < 0) num += MOD;
}

void solve()
{
    for (int i = ALPHABET - 1 ; i >= 0 ; --i)
    {
        dp[n][i] = 1;
    }

    for (int pos = n - 1 ; pos >= 1 ; --pos)
    {
        for (int letter = 0 ; letter < ALPHABET ; ++letter)
        {
            dp[pos][letter] = dp[pos + 1][letter];
            for (int addL = 0 ; addL < ALPHABET ; ++addL)
            {
                if (addL == letter)
                {
                    continue;
                }

                add(dp[pos][letter], dp[pos + 1][addL]);
                active[letter][addL].push(pos + 1);
            }

            for (const int &j : begin[pos])
            {
                if (type[j] == 1)
                {
                    for (int remL = letter + 1 ; remL < ALPHABET ; ++remL)
                    {
                        while (active[letter][remL].size() && active[letter][remL].top() <= r[j])
                        {
                            sub(dp[pos][letter], dp[active[letter][remL].top()][remL]);
                            active[letter][remL].pop();
                        }
                    }
                } else
                {
                    for (int remL = letter - 1 ; remL >= 0 ; --remL)
                    {
                        while (active[letter][remL].size() && active[letter][remL].top() <= r[j])
                        {
                            sub(dp[pos][letter], dp[active[letter][remL].top()][remL]);
                            active[letter][remL].pop();
                        }
                    }
                }
            }
        }
    }

    int sum = 0;
    for (int i = 0 ; i < 26 ; ++i)
    {
        sum += dp[1][i];
        if (sum >= MOD) sum -= MOD;
    }

    std::cout << sum << '\n';
}

void input()
{
    std::cin >> n >> m;
    for (int i = 1 ; i <= m ; ++i)
    {
        std::cin >> l[i] >> r[i];
        type[i] = 1;

        if (l[i] > r[i])
        {
            std::swap(l[i], r[i]);
            type[i] = 2;
        }

        begin[l[i]].push_back(i);
        end[r[i]].push_back(i);
    }
}

void fastIOI()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIOI();
    input();
    solve();

    return 0;
}
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