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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#852997 | #8668. 回文路径 | Hkueen | 100 ✓ | 27ms | 8012kb | C++14 | 2.5kb | 2025-01-11 15:10:41 | 2025-01-11 15:10:53 |
Judging History
answer
/*
如若最长回文路径只有一行,那是十分简单的
直接用哈巴儿哈希乱判
因此现在我们只需要考虑串行的情况
不妨枚举我们是在哪一列往下的
这样前面的路径就是确定的,但是还是不好做
但是我可以直接枚举回文中心啊
这样就可以二分最长长度
回文中心在哪一行,直接就尽可能地伸展对应行就行了
当前行延伸不动了,再考虑换行的事情
不难发现,这和提前换行是等价的
*/
#include<bits/stdc++.h>
#define ull unsigned long long
using namespace std;
constexpr int p=131,N=1e5+10;
ull h1[2][N],h2[2][N],fac[N];
ull ha1(int z,int l,int r){return h1[z][r]-h1[z][l-1]*fac[r-l+1];}//正
ull ha2(int z,int l,int r){return h2[z][l]-h2[z][r+1]*fac[r-l+1];}//反
int n;
int solve(int zl,int sl,int zr,int sr){
//printf("solve(%d,%d,%d,%d)\n",zl,sl,zr,sr);
if(sl<=0)return 0;
int l=1,r=min(sl-1,n-sr),res=0;
//printf("l=%d r=%d\n",l,r);
while(l<=r){
int mid=l+r>>1;
if(ha1(zl,sl-mid,sl-1)==ha2(zr,sr+1,sr+mid))res=mid,l=mid+1;
else r=mid-1;
}
return res;
}
char a[N],b[N];
int i,z,ans;
int main(){
scanf("%d%s%s",&n,a+1,b+1);
//memcpy(c,a,sizeof c),memcpy(d,b,sizeof d);
//reverse(c+1,c+1+n),reverse(d+1,d+1+n);
for(fac[0]=i=1;i<=n;++i)fac[i]=fac[i-1]*p;
for(i=1;i<=n;++i)h1[0][i]=h1[0][i-1]*p+a[i],h1[1][i]=h1[1][i-1]*p+b[i];
for(i=n;i;--i)h2[0][i]=h2[0][i+1]*p+a[i],h2[1][i]=h2[1][i+1]*p+b[i];
for(z=0;z<2;++z)for(i=1;i<=n;++i){//当前回文中心为(z,i)
int len1=solve(z,i,z,i),len2=0;
if(!z&&a[i-len1-1]==b[i+len1])len2=solve(0,i-len1-1,1,i+len1)+1;
if(z&&a[i-len1]==b[i+len1+1])len2=solve(0,i-len1,1,i+len1+1)+1;
ans=max(ans,(len1+len2<<1)+1);
}
for(z=0;z<2;++z)for(i=1;i<n;++i){//当前回文中心为(z,i)和(z,i+1)交界处
//printf("z=%d i=%d\n",z,i);
int len1=(!z?a[i]==a[i+1]?solve(z,i,z,i+1)+1:0:b[i]==b[i+1]?solve(z,i,z,i+1)+1:0),len2=0;
if(len1&&!z&&a[i-len1]==b[i+len1])len2=solve(0,i-len1,1,i+len1)+1;
if(len1&&z&&a[i-len1+1]==b[i+len1+1])len2=solve(0,i-len1+1,1,i+len1+1)+1;
//printf("len1=%d len2=%d\n",len1,len2);
ans=max(ans,len1+len2<<1);
}
for(z=0;z<1;++z)for(i=1;i<=n;++i){//当前回文中心为(z,i)和(z+1,i)交界处
int len1=(a[i]==b[i]?solve(z,i,z^1,i)+1:0);
ans=max(ans,len1<<1);
}
printf("%d",ans);
//fprintf(stderr,"%llu %llu\n",ha1(0,1,2),ha2(1,5,6));
//fprintf(stderr,"%llu %llu\n",h1[0][2],h2[1][5]);
//fprintf(stderr,"%llu %llu\n",h1[0][1],h2[1][6]);
//for(i=1;i<=n;++i)fprintf(stderr,"%llu ",h2[1][i]);
return 0;
}
详细
Subtask #1:
score: 30
Accepted
Test #1:
score: 30
Accepted
time: 1ms
memory: 3756kb
input:
1000 mfmlkrasfiudkzrjzyrlbpitvzfrlmjdzsurtdcmnqpsyfgobbstvplqylvciloomaljyssxtrrccywyirfvlcnchwkfwbdaoxzpfpvlruptganojnfxmnlqetptmlmoyluxvaipghtlaszoozscdmjomobyzboqqmvqjpbfjsoczhkwrlcauzjceqikbaeuiqahnldpqmohfjfzgkbfdbqnoxispkejvpncwsyelebqumapgbfdrjvuaxaphnkciwzkruijmanwslkwosgyfhwbnsthhtxrhrzlgtt...
output:
6
result:
ok single line: '6'
Test #2:
score: 30
Accepted
time: 0ms
memory: 3960kb
input:
1000 wvitzoxwlmhexjuqvoxksetoupgkhattucdzfevqorkdlsymjuvhobdrjsodtipwpfhipsdnyvqtsbbasrrvyybijzmpwseckztnpnkqswgkaeivflhwevhxcchjsnelqcixexkntwiuolsditpdwypgerzijziyrgqkwuucnqaehuwkpyrmwewjitvsaebyytznbtnkulnepceeloyjpfhcdpqfqhvzsmkcynjwztmkbnqaxnikfuiutocahdfbvsgdskgwqmzizzjlbqxnngftdohetabpjzpqzyc...
output:
7
result:
ok single line: '7'
Test #3:
score: 30
Accepted
time: 1ms
memory: 3972kb
input:
1000 abababaabaababbbbabbbbabbbbbbabbbaabbbaababaabaabbabbbbaabbaabaaaabbaaabbbbaaaaaabbbbababaababbaabbbbbbbbabbaababbbbabbaabbbabaaababbaababbbaabaabaababaaababbaaaababbbbbaaabbaabbaaabbaaaaabaaaaaabbbbbaaabbbbbaabbbbababaabaabbbbaaaaababaaaababbbbbbaababbbaaaababaabaabaabaaaaaabbabbabbbbbbbbbbabb...
output:
28
result:
ok single line: '28'
Test #4:
score: 30
Accepted
time: 1ms
memory: 3756kb
input:
1000 ababbababababbaababaaabaabaababbaabbbabaababbaaababbabbbbaabbababbbababbabababbaabbbaababbabaaaaabbbbbaaaaaaaaabbbbaabbbaabbababaaabababbaaaabababbbaabaabbabbaabaaaaaaabaaabaaababaaaababbaaabaabbbbbbaabbabaaabaabbbbabbababbbaaaaabbabbaabbaabbaabaaabaaabbbbbaabaaaaaababbbbbabbbabbbabababbbbbabaa...
output:
27
result:
ok single line: '27'
Test #5:
score: 30
Accepted
time: 1ms
memory: 3724kb
input:
1000 abbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbababbabba...
output:
987
result:
ok single line: '987'
Test #6:
score: 30
Accepted
time: 1ms
memory: 3756kb
input:
1000 aaaaaaababbabbabaabaaaaababaaaaaabaabaaaabaaaaaaabbbabaabbaaabaaaaaaabaaaaaaaabaaabbaababaaaaaaaaabbaabbabbaaaaabaaaaaaaabbaaabaaaaaaaaaaabaabbbbbaaaabaaaaaaaaabbbaaaaabaaabaaaaaaaaaaaaaababaaaaabbaabbaaaabaabaaaababaaaaaababaaaaabaaaaaaabaaaababaaaabbaaaabaaaaabaaaaaaaabaaaaaaabaaaaaaaaaaaabaa...
output:
45
result:
ok single line: '45'
Test #7:
score: 30
Accepted
time: 1ms
memory: 3964kb
input:
1000 aaaaaabaaaaaaaababaaaaaaababaaaabaabaaaaabaabaaaabbaaaaabaababaaaaaaaaaaabaaaabaaaaaaaaaaaaaaaaaabbaaaaaaababaabaaaabababaaaaabbaaaaaabbababaaabbaaababbaaaabbababaaaaaaaaabbbaaaababaaaaabaaaabbaabaaaaaabbaabaaaaaaaaaaabaaaababbaaaaaaaababbabaaaaaaaaabaaaabaaaaabaaaaaaaaaaaabaaaabaaababaabaabaab...
output:
45
result:
ok single line: '45'
Test #8:
score: 30
Accepted
time: 1ms
memory: 3844kb
input:
1000 aabaaaabaaaabaaabaabbbaabaabbbaaaaaaaaaabaaaaabaababaabaabaaaaaaaaaabbabbaaaaaaaabaabbbbbaaaabbabbbaaaaaabababbaaaabaaaaaaaaabaaaaaaaabaaaaaabbaaaaabaaaaaababaaababaaaabaaaaaabaaaaaaabaaaaabbaaaaabaababaaaabbaaabbaabaabaaaaababbababaaabbbabaabaaabaaabaababbabaababaaaaabaaababaaaaaaaaaabbaaaabaa...
output:
36
result:
ok single line: '36'
Test #9:
score: 30
Accepted
time: 1ms
memory: 3824kb
input:
1000 aaaaaabaabaaaaaaabaaaaaabaabaaaaaaaaabaabaaaaaaababaaaaabaaabaabaaabaaaaaaaaaaaaabbbbbabaaaaaaabaaaaabaaabaaaaabababaaabaaabaabaabaaaabbaabaaaaaaaaaaaaaaabbaaaaabaabbabbbaaabbbabaababbaabaaaabbaaaabaabbbaaaaaaaaaabaabaaaabbaaaabbbbaaabaaaaabaaababaaaaaaaaaabbabbabaaaaaaaaaaaaaaaabaababbaaaababa...
output:
50
result:
ok single line: '50'
Test #10:
score: 30
Accepted
time: 1ms
memory: 3824kb
input:
1000 aaccbdbabdaaddabaabaaaacbbccdbabbaacabcdababdcacadababaadaaaadabacababcdbaabaaaabdbabbdcaacccaaacababaacbcacaaabbabbaaabcbaaabaababbaaacbaacaaacabdccbbbaabaccacadbbcaabacadaababbaaabababbacaabbaaabcdaabaaaaaabaababaabcabacaabacaaaaaacaaabcbcabcbbcbbbaacaadadbadbbadcabababcabbcbbdadbdababaaadcab...
output:
20
result:
ok single line: '20'
Subtask #2:
score: 20
Accepted
Test #11:
score: 20
Accepted
time: 10ms
memory: 7856kb
input:
100000 ibhqhodaqcwqggmckoemulhkgbfidceskhefhsonccepfodalabaqgobpgcnaervbccadkbtsdigsoqochklocgbjjqcdhwrlacamprsoilyhiwkkjalicedhbxajrkhjgivjhnfdibkdwtexnnriegejazmohlfijbeigfmpngncokxhifjfuwuogccdfglfbxobnarmgfhgpnjjewicgfhcmfbbnjbbjjtbprnagpchcihcihfhcikeaecefdgeegtzlfdolhfieahiehdfcaflmndmcojceblf...
output:
9
result:
ok single line: '9'
Test #12:
score: 20
Accepted
time: 7ms
memory: 7760kb
input:
100000 fruiifpdggdnsbgamakpjipicaidfdjpffioqcwioaafbpdagmbbakqpekjabcljockpvcifilcjakhcboolgjbnmmrbeawcjopbccjgncdaucighprheiaqofriccfdbydbhijeelbthsmqbhcddlfemqkvdbflkdrifckarqwlaafifmqibssfukblchalkzdefnccaiabrhcrmisdeiqddccrqhiiwcqqakbfhebkiecahgdlibhgmegkfbuibcarcbajpdeboigeoctdljmqeckdfqahiecla...
output:
9
result:
ok single line: '9'
Test #13:
score: 20
Accepted
time: 6ms
memory: 7804kb
input:
99999 biwnbsgdlxognjnepijlgbfbbahicjfqhdhcielcovdflacbrgcfapifaylqfmvipcccoofthuutfheboncacenchdgfljpidjbasdsikduidkbdqckmlnbfaidlincqkccbbpmnqnpbjoclgeduitraqmdfgdqinhddgberlbnlgggoafgqllbifekoccpgemcgdiiackkcfjgddhieabhzdjfwegcbuncdadebglitgwcbpmclfijmqtbbnbbrcehhanjgbddiaoimmkehtloreemecckjejifck...
output:
11
result:
ok single line: '11'
Test #14:
score: 20
Accepted
time: 10ms
memory: 7856kb
input:
99999 chgjcjipccsmclcpjqmbrcpaqdggbdodxbcejbklpjhkefeidkjojjjbljhtykbcdgnnjeictgjgliegyfilmlkqkgddpefibjusamblbpqfbbvcfkgfagikbujlbjvenjbmcadceadnltdeksatckmkjkscojeqbpaaglggxhideqhkhibchdasadfggcoihhcwlphbeevohhohtthepedqfggbdglidnatocrkhnkijraddqbesaiajimdhdmvbgodlcglqqmkeehcfabeaatjdinzhijewfoxhh...
output:
9
result:
ok single line: '9'
Test #15:
score: 20
Accepted
time: 13ms
memory: 7932kb
input:
99999 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...
output:
99999
result:
ok single line: '99999'
Subtask #3:
score: 50
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Test #16:
score: 50
Accepted
time: 10ms
memory: 7832kb
input:
100000 vucutyzmjlnyadjbpqkrlqvzuponzxrvqsqqgbemhzjftdkksfgspeuonmjwlbirvszhcafcxpeubixvxetwyyqmftbobhodwaiwrcwdvddohalyqgaatvpflorvjypszbvzpwiaxxgievaozquixcndkxqfxcxaiygyqcgdebogwzquvqfljgjcvvhpirfzqlkwctibngdsffpormliyhrkcbxwxoaoovaawldfenziwnlahllzhjsvdhzekcqekayusmvzrgsdiiymjxfiddhawhgxathvnsedf...
output:
10
result:
ok single line: '10'
Test #17:
score: 50
Accepted
time: 10ms
memory: 7864kb
input:
100000 fotxrzsqxuaaiiqmiymhtfdipylgdmxizgzqrgbrmdemonbisusgbmmsgtyoaqgdmxwoxayxkszpvpypzjoapilopvhyiyhckcccaalqriunudgfifgvdiufjtukpsmdfjjzftszwizrwoxuqsujchtrywpiiineoscbvarbalizfyydbctxpuwndzgshavpygfcmxkorbcppbatauqqkumaqsjcupnihewaukjajqgdvatobxjgdcbevlxpkjdvpofwtctivkexpwnbwvwbhcmlivuvifpptiupy...
output:
9
result:
ok single line: '9'
Test #18:
score: 50
Accepted
time: 19ms
memory: 8012kb
input:
100000 baaabababbbaabbbbaabbabbababbbbbaaaaabaabbbbbbaaabaabaaabababbabbabbaababbaababbbabaaaaabbbabbabaaaabaabbbbababaaaaabbbbbabbbababbbbbaaabbaaabaabaaababbababbabaaaaaaaababaaabaababbbababbbbabbbabaaababbababbbababaabbaabbabaaaabaaabbbabbaabbabbbbbbabbbbaaaaaaaaaaabbbaabaaaabbbabbbaabababbbbaabb...
output:
40
result:
ok single line: '40'
Test #19:
score: 50
Accepted
time: 24ms
memory: 7828kb
input:
100000 babbbbaabaaaaaaaaaabbbbababababababababbabaaabbaaaaabaaaabaaaaababaabaabaabbbbabbbaabababbbaaabaaaaaaababaabababababbaabbbaabaabbbbbbbabaabbaabaaaababbbaabaaabaaaabbabbababbaabbabbbaabbbaababbaabaabaabbabbbabaaaaaaaaaabaabbabaaaaababaabbababbbabababbbbabbbbababababaabbabbababbaababababbbbaaba...
output:
43
result:
ok single line: '43'
Test #20:
score: 50
Accepted
time: 22ms
memory: 7808kb
input:
100000 aabaabbaaaaabbbbbaaaaaaaaaaaaaabbaaaaaaaaabaaaabbaaaaaabaaaaabaabbaaabababaaabbaaaaaaaaaabbabbbaaaaaaabaaabbbaabaaabaaabaaaaaaaaaabaabaaaababaaaaaabbaaaaaaababaabaaaaabababaaaaaaaaaababaaaababbaaabaaaabaaaaabaababbaaaaabbaaabaabaabaaaaababaaaaabbaaaabaaaaaaabaaaaaaaaabaabaaaaaabaababbbabaaaba...
output:
75
result:
ok single line: '75'
Test #21:
score: 50
Accepted
time: 27ms
memory: 7992kb
input:
100000 aaaabaabaaabaabbaaaabbbaaaaaaabaabaabaabaaaababaaaaabaaaaabbabaabbaabaaaaaabaaaaaaaaaaaaabaabbabaaaaaabaaaaaaaaaaaabaaaabbbabaaaaaabaaaababaaaabaaaaaabbaaaaaaaaabababaaaaabaabababaaabbababaaaaababababbaaaaaabaabaaaabbababbbaaabaaaabaabaaaaabaabaaaaaabbbaaaaaaabababababbaaabaaabaaababaaaabaaaa...
output:
58
result:
ok single line: '58'
Test #22:
score: 50
Accepted
time: 23ms
memory: 7860kb
input:
100000 abbaaaaaaabaaaaaaaabaaaaaaaaaaaaaaaaabbabaaabaaaaaaaaaaaaaaabaaabbbaabaaaaabaaaaaaabaaaaabaabaabaaaababaaaaaaaaaaaaaaaaabaaabbabaaaaaaabaaaaaaabaaaaaabaaaaabaaabbaaaabbaabbaaababaababaaaaaabaaaaabaaaaaaaaaaaaababaaaaabaaaaaabbbabaaaaaaaaaaaaabaaaaaaaabbbaabaaabaaabaaabbabaabaaabbabaaaaaaaabba...
output:
67
result:
ok single line: '67'
Test #23:
score: 50
Accepted
time: 27ms
memory: 7860kb
input:
100000 bbaaaaabaaaaaaaaaabbaabaaaaaaabbbaabababaaababbaaaabaaaaaaaaaabaaaabbaaaaabaaaaaabbaabbbbaaabbaaaaaabbabaaabaababbaababaaabaaaaaaaaaabaaaaabbaaaaabbaaaabaaabababbbaabaaaaabaabaaaaaaabaaaaaaabaabababbbaaaaaaaaaaaaaaaaabaaaaaaabaaaaaababbbababaabaaabbbaaaaabaaaaaaabaabababaaaaaabaaaabbaabababaa...
output:
55
result:
ok single line: '55'
Test #24:
score: 50
Accepted
time: 14ms
memory: 7824kb
input:
100000 cabcacbbacbbaacbaabbaabbaabacdcadbbccabbccbbaabacacbabaccbaabbbaaabaddbcaccdcaababaaabbbbbcdacaabababcbbcbcabbbdbbbcadaadabcabbacabbdbbcaaabacaabbabbabacbabbabaadabbabdbabcbdcaacaddbbbabdabaaabcabcababbcbbaaccabbbbacaabbacdaaaabaaaaccaaabaaccbaccbbababdacaacabcaaabbaaacbcbaaabcaaabcaabbabbcad...
output:
25
result:
ok single line: '25'
Test #25:
score: 50
Accepted
time: 18ms
memory: 7760kb
input:
100000 abbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbabbababbababbabbababbababbabbababbabbababbababbabbababbababbab...
output:
96421
result:
ok single line: '96421'
Test #26:
score: 50
Accepted
time: 0ms
memory: 3696kb
input:
5 pkusc pkukp
output:
6
result:
ok single line: '6'