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Submission #47174

# Submission time Handle Problem Language Result Execution time Memory
47174 2018-04-28T13:28:28 Z tmwilliamlin168 Palindromes (APIO14_palindrome) C++14
100 / 100
 685 ms 30180 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long

inline void out(ll x) {
	ll rev=x;
	int cnt=0;
	while(rev%10==0) {
		rev/=10;
		++cnt;
	}
	rev=0;
	while(x) {
		rev=rev*10+x%10;
		x/=10;
	}
	while(rev) {
		putchar_unlocked(rev%10+'0');
		rev/=10;
	}
	while(cnt--)
		putchar_unlocked('0');
}

const int mxN=3e5+2, mxlgN=18;
int n, m=123, sa1[mxN], sa2[mxN], cl1[mxN*2], cl2[mxN], cnt[mxN], lcp[mxlgN+1][mxN], p[mxN*2+3];
char s[mxN+1], s2[mxN*2+3];

inline int lcpq(int l, int r) {
	int k=31-__builtin_clz(r-l+1);
	return min(lcp[k][l], lcp[k][r-(1<<k)+1]);
}

int main() {
	while(1) {
		char c=getchar_unlocked();
		if(c==' '||c=='\n'||c=='\r')
			break;
		s[n++]=c;
	}
	for(int i=0; i<n; ++i)
		cl1[i]=s[i];
	for(int l=1; l<=n; l*=2) {
		memset(cnt, 0, 4*m);
		for(int i=0; i<n; ++i)
			++cnt[cl1[i+l]];
		for(int i=1; i<m; ++i)
			cnt[i]+=cnt[i-1];
		for(int i=n-1; i>=0; --i)
			sa2[--cnt[cl1[i+l]]]=i;
		memset(cnt, 0, 4*m);
		for(int i=0; i<n; ++i)
			++cnt[cl1[i]];
		for(int i=1; i<m; ++i)
			cnt[i]+=cnt[i-1];
		for(int i=n-1; i>=0; --i)
			sa1[--cnt[cl1[sa2[i]]]]=sa2[i];
		m=0;
		for(int i=0; i<n; ++i) {
			if(!i||cl1[sa1[i]]!=cl1[sa1[i-1]]||cl1[sa1[i]+l]!=cl1[sa1[i-1]+l])
				++m;
			cl2[sa1[i]]=m;
		}
		++m;
		memcpy(cl1, cl2, 4*n);
	}
	s[n]='$';
	for(int i=0, k=0; i<n; ++i, k-=k>0) {
		if(cl1[i]>=n)
			continue;
		for(int j=sa1[cl1[i]]; s[i+k]==s[j+k]; ++k);
		lcp[0][cl1[i]]=k;
	}
//	for(int i=1; i<n; ++i)
//		cout << lcp[0][i] << " ";
//	cout << endl;
	for(int k=1; k<=mxlgN; ++k)
		for(int i=0; i<=n-(1<<k); ++i)
			lcp[k][i]=min(lcp[k-1][i], lcp[k-1][i+(1<<(k-1))]);
	int c=-1, r=-1;
	s2[0]='!', s2[1]='#', s2[2*n+2]='@';
	for(int i=0; i<n; ++i) {
		s2[2*i+2]=s[i];
		s2[2*i+3]='#';
	}
	ll ans=0;
	for(int i=1; i<=2*n+1; ++i) {
		if(r>=i)
			p[i]=min(r-i, p[2*c-i]);
//		cout << i << " " << p[i] << endl;
		while(s2[i+p[i]]==s2[i-p[i]]) {
			if((i-p[i])%2==0) {
				int j=(i-p[i])/2-1, l=p[i]+1, tl=1, lb, rb;
				assert(j<n);
//				cout << j << " " << l << endl;
				lb=1, rb=cl1[j]-1;
				assert(cl1[j]<=n);
				while(lb<=rb) {
					int mb=(lb+rb)/2;
					if(lcpq(mb, cl1[j]-1)>=l)
						rb=mb-1;
					else
						lb=mb+1;
				}
				tl+=cl1[j]-lb;
				lb=cl1[j], rb=n-1;
				while(lb<=rb) {
					int mb=(lb+rb)/2;
					if(lcpq(cl1[j], mb)>=l)
						lb=mb+1;
					else
						rb=mb-1;
				}
				tl+=rb-cl1[j]+1;
				ans=max((long long)tl*l, ans);
			}
			++p[i];
		}
		--p[i];
		if(i+p[i]>r) {
			c=i;
			r=i+p[i];
		}
//		cout << i << " " << p[i] << endl;
	}
	out(ans);
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 2 ms 484 KB Output is correct
4 Correct 2 ms 484 KB Output is correct
5 Correct 2 ms 484 KB Output is correct
6 Correct 2 ms 484 KB Output is correct
7 Correct 2 ms 484 KB Output is correct
8 Correct 2 ms 484 KB Output is correct
9 Correct 2 ms 484 KB Output is correct
10 Correct 2 ms 484 KB Output is correct
11 Correct 2 ms 484 KB Output is correct
12 Correct 2 ms 660 KB Output is correct
13 Correct 2 ms 664 KB Output is correct
14 Correct 2 ms 664 KB Output is correct
15 Correct 2 ms 664 KB Output is correct
16 Correct 2 ms 664 KB Output is correct
17 Correct 2 ms 664 KB Output is correct
18 Correct 2 ms 664 KB Output is correct
19 Correct 2 ms 664 KB Output is correct
20 Correct 2 ms 664 KB Output is correct
21 Correct 2 ms 664 KB Output is correct
22 Correct 2 ms 664 KB Output is correct
23 Correct 2 ms 664 KB Output is correct
24 Correct 2 ms 664 KB Output is correct
25 Correct 2 ms 664 KB Output is correct
26 Correct 2 ms 748 KB Output is correct
27 Correct 2 ms 748 KB Output is correct
28 Correct 3 ms 748 KB Output is correct
29 Correct 2 ms 748 KB Output is correct
30 Correct 2 ms 748 KB Output is correct
31 Correct 2 ms 748 KB Output is correct
32 Correct 2 ms 748 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 768 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 2 ms 768 KB Output is correct
4 Correct 2 ms 768 KB Output is correct
5 Correct 2 ms 768 KB Output is correct
6 Correct 2 ms 768 KB Output is correct
7 Correct 2 ms 768 KB Output is correct
8 Correct 2 ms 768 KB Output is correct
9 Correct 2 ms 768 KB Output is correct
10 Correct 3 ms 768 KB Output is correct
11 Correct 3 ms 768 KB Output is correct
12 Correct 3 ms 768 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1532 KB Output is correct
2 Correct 7 ms 1532 KB Output is correct
3 Correct 7 ms 1532 KB Output is correct
4 Correct 6 ms 1660 KB Output is correct
5 Correct 7 ms 1660 KB Output is correct
6 Correct 7 ms 1660 KB Output is correct
7 Correct 6 ms 1660 KB Output is correct
8 Correct 9 ms 1660 KB Output is correct
9 Correct 10 ms 1660 KB Output is correct
10 Correct 8 ms 1660 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 9724 KB Output is correct
2 Correct 55 ms 10108 KB Output is correct
3 Correct 51 ms 10108 KB Output is correct
4 Correct 60 ms 10108 KB Output is correct
5 Correct 97 ms 10108 KB Output is correct
6 Correct 86 ms 10108 KB Output is correct
7 Correct 72 ms 10108 KB Output is correct
8 Correct 154 ms 10108 KB Output is correct
9 Correct 127 ms 10108 KB Output is correct
10 Correct 106 ms 10108 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 29812 KB Output is correct
2 Correct 174 ms 29948 KB Output is correct
3 Correct 168 ms 29948 KB Output is correct
4 Correct 178 ms 29948 KB Output is correct
5 Correct 651 ms 30036 KB Output is correct
6 Correct 238 ms 30036 KB Output is correct
7 Correct 264 ms 30036 KB Output is correct
8 Correct 685 ms 30180 KB Output is correct
9 Correct 652 ms 30180 KB Output is correct
10 Correct 578 ms 30180 KB Output is correct
11 Correct 175 ms 30180 KB Output is correct
12 Correct 625 ms 30180 KB Output is correct