제출 #882980

#제출 시각아이디문제언어결과실행 시간메모리
882980LucaIlieMisspelling (JOI22_misspelling)C++17
100 / 100
2253 ms220336 KiB
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 5e5;
const int MAX_M = 5e5;
const int SIGMA = 26;
const int MOD = 1e9 + 7;
int l[MAX_M], r[MAX_M], t[MAX_M], maxR1[MAX_N + 1], maxR2[MAX_N + 1];
long long dp[MAX_N + 1][SIGMA], sp[MAX_N + 1][SIGMA];

int main() {
    int n, m;

    cin >> n >> m;
    for ( int i = 0; i < m; i++ ) {
        cin >> l[i] >> r[i];
        if ( l[i] > r[i] ) {
            swap( l[i], r[i] );
            t[i] = 2;
            maxR2[l[i]] = max( maxR2[l[i]], r[i] );
        } else {
            t[i] = 1;
            maxR1[l[i]] = max( maxR1[l[i]], r[i] );
        }
    }

    for ( int l = 0; l < SIGMA; l++ )
        dp[1][l] = 1;
    vector<int> s1, s2;
    for ( int i = 1; i <= n; i++ ) {
        while ( !s1.empty() && maxR1[i - 1] >= maxR1[s1.back()] )
            s1.pop_back();
        s1.push_back( i - 1 );
        while ( !s2.empty() && maxR2[i - 1] >= maxR2[s2.back()] )
            s2.pop_back();
        s2.push_back( i - 1 );

        int st, dr;

        st = -1, dr = s1.size();
        while ( dr - st > 1 ) {
            int p = (st + dr) / 2;
            if ( maxR1[s1[p]] >= i )
                st = p;
            else
                dr = p;
        }
        int p1 = (st == -1 ? 0 : s1[st]);

        st = -1, dr = s2.size();
        while ( dr - st > 1 ) {
            int p = (st + dr) / 2;
            if ( maxR2[s2[p]] >= i )
                st = p;
            else
                dr = p;
        }
        int p2 = (st == -1 ? 0 : s2[st]);

        for ( int l = 0; l < SIGMA; l++ ) {
            for ( int m = 0; m < SIGMA; m++ ) {
                if ( m == l )
                    continue;
                dp[i][l] = (dp[i][l] + sp[i - 1][m] - sp[max( p1, p2 )][m] + MOD) % MOD;
            }
        }
        if ( p1 > p2 ) {
            for ( int l = 0; l < SIGMA; l++ ) {
                for ( int m = l + 1; m < SIGMA; m++ )
                    dp[i][l] = (dp[i][l] + sp[p1][m] - sp[p2][m] + MOD) % MOD;
            }
        } else {
            for ( int l = 0; l < SIGMA; l++ ) {
                for ( int m = 0; m < l; m++ )
                    dp[i][l] = (dp[i][l] + sp[p2][m] - sp[p1][m] + MOD) % MOD;
            }
        }

        for ( int l = 0; l < SIGMA; l++ )
            sp[i][l] = (sp[i - 1][l] + dp[i][l]) % MOD;
    }
    
    int ans = 0;
    for ( int i = 1; i <= n; i++ ) {
        for ( int l = 0; l < SIGMA; l++ )
            ans = (ans + dp[i][l]) % MOD;
    }

    cout << ans;

    return 0;
}
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