This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#ifndef LOCAL
#define cerr if(false)cerr
#endif
const ll mod = 1e9 + 7;
const ll MAX_N = 5e5 + 10;
const ll MAX_ALPH = 26;
ll dp[MAX_N][MAX_ALPH], pref[MAX_N][MAX_ALPH];
vector<pair<ll, ll> > starting[MAX_N];
ll n, m;
ll sum(ll l, ll r, ll ind) {
if(r < l) { return 0; }
if(l == 0) {
return pref[r][ind];
} else {
return pref[r][ind] - pref[l - 1][ind];
}
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
cin >> n >> m;
for(ll i = 1; i <= m; i ++) {
ll a, b;
cin >> a >> b;
if(a < b) {
starting[a].push_back({b - 1, i});
} else {
starting[b].push_back({a - 1, -i});
}
}
priority_queue<pair<ll, ll> > red, blue;
for(ll i = 0; i < MAX_ALPH; i ++) {
dp[0][i] = 1;
pref[0][i] = 1;
}
for(ll i = 1; i < n; i ++) {
for(const auto &it : starting[i]) {
if(it.second < 0) {
red.push({i, it.first});
} else {
blue.push({i, it.first});
}
}
while(!red.empty() && red.top().second < i) { red.pop(); }
while(!blue.empty() && blue.top().second < i) { blue.pop(); }
ll last_red = red.empty() ? 0 : red.top().first;
ll last_blue = blue.empty() ? 0 : blue.top().first;
ll l = min(last_red, last_blue), r = max(last_red, last_blue);
cerr << "Found diff " << last_red << " " << last_blue << endl;
const auto fix = [&](auto &x) { x = (x % mod + mod) % mod; };
for(ll j = 0; j < MAX_ALPH; j ++) {
for(ll k = 0; k < j; k ++) {
dp[i][k] += sum(r, i - 1, j);
if(last_red > last_blue) {
dp[i][k] += sum(l, r - 1, j);
}
fix(dp[i][k]);
}
for(ll k = j + 1; k < MAX_ALPH; k ++) {
dp[i][k] += sum(r, i - 1, j);
if(last_red < last_blue) {
dp[i][k] += sum(l, r - 1, j);
}
fix(dp[i][k]);
}
}
for(ll j = 0; j < MAX_ALPH; j ++) {
cerr << dp[i][j] << " ";
pref[i][j] = (pref[i - 1][j] + dp[i][j]) % mod;
}
cerr << endl;
}
ll ans = 0;
for(ll i = 0; i < MAX_ALPH; i ++) {
ans = (ans + pref[n - 1][i]) % mod;
}
cout << ans << endl;
}
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