Submission #544543

#TimeUsernameProblemLanguageResultExecution timeMemory
544543benson1029Misspelling (JOI22_misspelling)C++14
100 / 100
2672 ms750836 KiB
#include<bits/stdc++.h>
using namespace std;

int n,m;
int mxst1[500005], mxst2[500005];
int lift1[500005][21], lift2[500005][21];
int a[500005], b[500005];
long long dp[500005][28][2];
long long psum[500005][28][2], psum2[500005][28][2];
long long ans = 0;
long long mod = 1e9+7;

int main() {
	ios::sync_with_stdio(false);
	cin >> n >> m;
	for(int i=0; i<m; i++) {
		cin >> a[i] >> b[i];
		if(a[i] > b[i]) {
			mxst1[b[i]] = max(mxst1[b[i]], a[i]);
		} else {
			mxst2[a[i]] = max(mxst2[a[i]], b[i]);
		}
	}
	for(int i=0; i<=20; i++) {
		for(int j=1; j<=n; j++) {
			if(i==0) {
				lift1[j][i] = mxst1[j];
				lift2[j][i] = mxst2[j];
			} else {
				if(j-(1<<(i)) < 0) lift1[j][i] = lift2[j][i] = -1;
				else {
					lift1[j][i] = max(lift1[j][i-1], lift1[j-(1<<(i-1))][i-1]);
					lift2[j][i] = max(lift2[j][i-1], lift2[j-(1<<(i-1))][i-1]);
				} 
			} 
		}
	}
	for(int i=2; i<=n; i++) {
		for(int j=1; j<=26; j++) {
			// case 1: < last
			if(j<26) {
				int tmp = i-1;
				for(int k=20; k>=0; k--) {
					if(lift1[tmp][k]==-1) continue;
					if(lift1[tmp][k] < i) {
						tmp -= (1<<k);
					}
				} 
				if(tmp > 0) {
					// have restrictions
					dp[i][j][0] += psum2[i-1][j+1][1] - psum2[tmp][j+1][1] + psum2[i-1][j+1][0] - psum2[tmp][j+1][0];
				} else {
					// no restrictions
					dp[i][j][0] += psum2[i-1][j+1][0] + psum2[i-1][j+1][1] + 26-j;
				}
				dp[i][j][0] %= mod;
			}
			// case 2: > last
			if(j>1) {
				int tmp = i-1;
				for(int k=20; k>=0; k--) {
					if(lift2[tmp][k]==-1) continue;
					if(lift2[tmp][k] < i) {
						tmp -= (1<<k);
					}
				} 
				if(tmp > 0) {
					dp[i][j][1] += psum[i-1][j-1][0] - psum[tmp][j-1][0] + psum[i-1][j-1][1] - psum[tmp][j-1][1];
				} else {
					dp[i][j][1] += psum[i-1][j-1][0] + psum[i-1][j-1][1] + j-1;
				}
				dp[i][j][1] %= mod;
			}
		}
		for(int j=1; j<=26; j++) {
			psum[i][j][0] = psum[i][j-1][0] + dp[i][j][0];
			psum[i][j][1] = psum[i][j-1][1] + dp[i][j][1];
		}
		for(int j=26; j>=1; j--) {
			psum2[i][j][0] = psum2[i][j+1][0] + dp[i][j][0];
			psum2[i][j][1] = psum2[i][j+1][1] + dp[i][j][1];
		}
		for(int j=1; j<=26; j++) {
			psum[i][j][0] += psum[i-1][j][0];
			psum[i][j][1] += psum[i-1][j][1];
			psum2[i][j][0] += psum2[i-1][j][0];
			psum2[i][j][1] += psum2[i-1][j][1];
			psum[i][j][0] %= mod; psum[i][j][1] %= mod;
			psum2[i][j][0] %= mod; psum2[i][j][1] %= mod;
		}  
		for(int j=1; j<=26; j++) {
			ans += (dp[i][j][0] + dp[i][j][1]);
			ans %= mod;
		}
	}
	ans = (ans+26)%mod;
	if(ans<0) ans+=mod;
	cout << ans << "\n";
} 
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