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Submission #47172

# Submission time Handle Problem Language Result Execution time Memory
47172 2018-04-28T13:26:33 Z tmwilliamlin168 Palindromes (APIO14_palindrome) C++14
100 / 100
 698 ms 32040 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=4e5, 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 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 408 KB Output is correct
5 Correct 2 ms 464 KB Output is correct
6 Correct 2 ms 516 KB Output is correct
7 Correct 2 ms 540 KB Output is correct
8 Correct 2 ms 560 KB Output is correct
9 Correct 2 ms 560 KB Output is correct
10 Correct 3 ms 736 KB Output is correct
11 Correct 2 ms 736 KB Output is correct
12 Correct 2 ms 736 KB Output is correct
13 Correct 2 ms 736 KB Output is correct
14 Correct 2 ms 736 KB Output is correct
15 Correct 2 ms 736 KB Output is correct
16 Correct 2 ms 736 KB Output is correct
17 Correct 2 ms 736 KB Output is correct
18 Correct 2 ms 736 KB Output is correct
19 Correct 3 ms 736 KB Output is correct
20 Correct 2 ms 736 KB Output is correct
21 Correct 2 ms 736 KB Output is correct
22 Correct 2 ms 736 KB Output is correct
23 Correct 2 ms 736 KB Output is correct
24 Correct 2 ms 736 KB Output is correct
25 Correct 2 ms 736 KB Output is correct
26 Correct 2 ms 736 KB Output is correct
27 Correct 2 ms 736 KB Output is correct
28 Correct 2 ms 736 KB Output is correct
29 Correct 2 ms 736 KB Output is correct
30 Correct 2 ms 736 KB Output is correct
31 Correct 2 ms 736 KB Output is correct
32 Correct 2 ms 736 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 736 KB Output is correct
2 Correct 2 ms 764 KB Output is correct
3 Correct 3 ms 764 KB Output is correct
4 Correct 2 ms 764 KB Output is correct
5 Correct 2 ms 764 KB Output is correct
6 Correct 2 ms 764 KB Output is correct
7 Correct 2 ms 764 KB Output is correct
8 Correct 2 ms 764 KB Output is correct
9 Correct 2 ms 764 KB Output is correct
10 Correct 3 ms 764 KB Output is correct
11 Correct 2 ms 764 KB Output is correct
12 Correct 3 ms 764 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1472 KB Output is correct
2 Correct 7 ms 1532 KB Output is correct
3 Correct 6 ms 1532 KB Output is correct
4 Correct 7 ms 1532 KB Output is correct
5 Correct 8 ms 1532 KB Output is correct
6 Correct 7 ms 1532 KB Output is correct
7 Correct 7 ms 1532 KB Output is correct
8 Correct 10 ms 1532 KB Output is correct
9 Correct 9 ms 1532 KB Output is correct
10 Correct 7 ms 1532 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 9724 KB Output is correct
2 Correct 64 ms 9880 KB Output is correct
3 Correct 57 ms 9880 KB Output is correct
4 Correct 61 ms 9980 KB Output is correct
5 Correct 100 ms 9980 KB Output is correct
6 Correct 91 ms 9980 KB Output is correct
7 Correct 70 ms 9980 KB Output is correct
8 Correct 154 ms 9980 KB Output is correct
9 Correct 130 ms 10028 KB Output is correct
10 Correct 95 ms 10028 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 275 ms 29948 KB Output is correct
2 Correct 176 ms 30160 KB Output is correct
3 Correct 163 ms 30160 KB Output is correct
4 Correct 176 ms 30160 KB Output is correct
5 Correct 601 ms 30160 KB Output is correct
6 Correct 251 ms 30204 KB Output is correct
7 Correct 261 ms 30460 KB Output is correct
8 Correct 698 ms 30868 KB Output is correct
9 Correct 649 ms 31188 KB Output is correct
10 Correct 561 ms 31448 KB Output is correct
11 Correct 164 ms 31476 KB Output is correct
12 Correct 612 ms 32040 KB Output is correct