Submission #839484

#TimeUsernameProblemLanguageResultExecution timeMemory
839484daoquanglinh2007Selling RNA Strands (JOI16_selling_rna)C++17
100 / 100
728 ms67076 KiB
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define sz(S) (int)(S).size()

const int NM = 1e5, MOD = 1e9+7, LOG = 17, inf = 1e9+7;

int N, M;
string P[2*NM+5], Q[2*NM+5];
vector <int> pref[2*NM+5], suff[2*NM+5];
int id_pref[2*NM+5], id_suff[2*NM+5], val[2*NM+5], pos[2*NM+5], bit[2*NM+5], ans[NM+5];

int c(char ch){
	if (ch == 'A') return 0;
	if (ch == 'G') return 1;
	if (ch == 'C') return 2;
	return 3;
}

void process(string &S, vector <int> &f){
	f.resize(sz(S)+1);
	f[0] = 0;
	for (int i = 1; i <= sz(S); i++)
		f[i] = ((ll)f[i-1]*4+c(S[i-1]))%MOD;
}

int lcp(vector <int> &f1, vector <int> &f2){
	int l = 1, r = min(sz(f1), sz(f2))-1, res = 0;
	while (l <= r){
		int mid = (l+r)/2;
		if (f1[mid] == f2[mid]){
			res = mid;
			l = mid+1;
		}
		else r = mid-1;
	}
	return res;
}

bool cmp_pref(int x, int y){
	int res = lcp(pref[x], pref[y]);
	if (res == min(sz(pref[x]), sz(pref[y]))-1){
		return sz(pref[x]) < sz(pref[y]);
	}
	return c(P[x][res]) < c(P[y][res]);
}

bool cmp_suff(int x, int y){
	int res = lcp(suff[x], suff[y]);
	if (res == min(sz(suff[x]), sz(suff[y]))-1){
		return sz(suff[x]) < sz(suff[y]);
	}
	return c(Q[x][res]) < c(Q[y][res]);
}

void update(int p, int v){
	while (p <= N+M){
		bit[p] += v;
		p += p & (-p);
	}
}

int sum(int p){
	int res = 0;
	while (p > 0){
		res += bit[p];
		p -= p & (-p);
	}
	return res;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> N >> M;
	for (int i = 1; i <= N; i++){
		cin >> P[i];
		Q[i] = P[i];
		reverse(Q[i].begin(), Q[i].end());
		process(P[i], pref[i]);
		process(Q[i], suff[i]);
	}
	for (int i = N+1; i <= N+M; i++){
		cin >> P[i] >> Q[i];
		reverse(Q[i].begin(), Q[i].end());
		process(P[i], pref[i]);
		process(Q[i], suff[i]);
	}
	for (int i = 1; i <= N+M; i++)
		id_pref[i] = id_suff[i] = i;
		
	sort(id_pref+1, id_pref+1+N+M, cmp_pref);
	sort(id_suff+1, id_suff+1+N+M, cmp_suff);
	
	for (int i = 1; i <= N+M; i++)
		val[id_suff[i]] = i;
	for (int i = 1; i <= N+M; i++)
		pos[i] = val[id_pref[i]];
		
	int curL = 1, curR = 0;
	for (int i = 1; i <= N+M; i++){
		if (id_pref[i] <= N) continue;
		int k = sz(pref[id_pref[i]])-1, L = i, R = i;
		int l = 1, r = i-1;
		while (l <= r){
			int mid = (l+r)/2;
			if (lcp(pref[id_pref[mid]], pref[id_pref[i]]) >= k){
				L = mid;
				r = mid-1;
			}
			else l = mid+1;
		}
		l = i+1, r = N+M;
		while (l <= r){
			int mid = (l+r)/2;
			if (lcp(pref[id_pref[i]], pref[id_pref[mid]]) >= k){
				R = mid;
				l = mid+1;
			}
			else r = mid-1;
		}
		while (curL > L){
			curL--;
			if (id_pref[curL] <= N) update(pos[curL], 1);
		}
		while (curR < R){
			curR++;
			if (id_pref[curR] <= N) update(pos[curR], 1);
		}
		while (curL < L){
			if (id_pref[curL] <= N) update(pos[curL], -1);
			curL++;
		}
		while (curR > R){
			if (id_pref[curR] <= N) update(pos[curR], -1);
			curR--;
		}
		
		k = sz(suff[id_suff[pos[i]]])-1;
		int resl = pos[i], resr = pos[i];
		l = 1, r = pos[i]-1;
		while (l <= r){
			int mid = (l+r)/2;
			if (lcp(suff[id_suff[mid]], suff[id_suff[pos[i]]]) >= k){
				resl = mid;
				r = mid-1;
			}
			else l = mid+1;
		}
		l = pos[i]+1, r = N+M;
		while (l <= r){
			int mid = (l+r)/2;
			if (lcp(suff[id_suff[pos[i]]], suff[id_suff[mid]]) >= k){
				resr = mid;
				l = mid+1;
			}
			else r = mid-1;
		}
		ans[id_pref[i]-N] = sum(resr)-sum(resl-1);
	}
	for (int i = 1; i <= M; i++)
		cout << ans[i] << '\n';
	return 0;
}
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