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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#261760 | #7814. 消消乐 | zlxFTH | 100 ✓ | 103ms | 20856kb | C++17 | 1.9kb | 2023-11-23 10:15:09 | 2023-11-23 10:15:11 |
Judging History
answer
#include <bits/stdc++.h>
#include <bits/extc++.h>
#define debug(...) fprintf(stderr, __VA_ARGS__);
using namespace std;
using namespace __gnu_pbds;
typedef long long LL;
typedef unsigned long long ULL;
const int P = 998244353;
mt19937 rnd(time(0));
struct Mat {
int x[2][2];
Mat(int a = 0, int b = 0, int c = 0, int d = 0) {
x[0][0] = a, x[0][1] = b, x[1][0] = c, x[1][1] = d;
}
void gen() {
for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++)
x[i][j] = rnd() % P;
}
bool pd() {
return x[0][0] == 1 && !x[0][1] && !x[1][0] && x[1][1] == 1;
}
friend Mat operator*(const Mat &a, const Mat &b) {
Mat c;
for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++)
for (int k = 0; k < 2; k++)
(c.x[i][j] += LL(a.x[i][k]) * b.x[k][j] % P) %= P;
return c;
}
friend Mat qp(Mat a, LL b = P - 2) {
Mat res(1, 0, 0, 1);
while (b) {
if (b & 1) res = res * a;
a = a * a;
b /= 2;
}
return res;
}
ULL Hash() {
ULL res = 0;
for (int i = 0; i < 2; i++) {
ULL tmp = ULL(x[i][0]) * x[i][1];
res ^= tmp;
}
return res;
}
};
int main() {
cin.tie(0)->sync_with_stdio(0);
int n;
string s;
cin >> n >> s;
vector<Mat> mat(26), rmat(26);
for (int i = 0; i < 26; i++) {
Mat t;
t.gen();
while (!qp(t, P - 1).pd()) t.gen();
mat[i] = t;
rmat[i] = qp(t);
}
Mat tag(1, 0, 0, 1);
ULL tar = tag.Hash();
vector<ULL> st(n + 1);
for (int i = 0; i < n; i++) {
st[i] = tar;
tag = tag * (i & 1 ? rmat[s[i] - 'a'] : mat[s[i] - 'a']);
tar = tag.Hash();
}
st[n] = tar;
LL ans = 0;
sort(st.begin(), st.end());
for (int i = 0; i < st.size(); i++) {
int j = i;
while (j < st.size() && st[j] == st[i]) j++;
ans += LL(j - i) * (j - i - 1) / 2;
i = j - 1;
}
cout << ans << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 5
Accepted
time: 1ms
memory: 3492kb
input:
10 aaaaaaaaaa
output:
25
result:
ok single line: '25'
Test #2:
score: 5
Accepted
time: 0ms
memory: 3496kb
input:
10 ooooppuuhh
output:
16
result:
ok single line: '16'
Test #3:
score: 5
Accepted
time: 0ms
memory: 3440kb
input:
10 nnppkkppjj
output:
16
result:
ok single line: '16'
Test #4:
score: 5
Accepted
time: 0ms
memory: 3440kb
input:
10 vvcckkhhqq
output:
15
result:
ok single line: '15'
Test #5:
score: 5
Accepted
time: 0ms
memory: 3496kb
input:
10 llmmxxoopp
output:
15
result:
ok single line: '15'
Test #6:
score: 5
Accepted
time: 1ms
memory: 3528kb
input:
800 jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjddzziiyyyyjjooppiivvppmmooppttnnbbmmaaqqvvkkllyyvvmmjjsswwxxccwweeeekkhhaakkvvffaaiieessmmiibbff...
output:
38306
result:
ok single line: '38306'
Test #7:
score: 5
Accepted
time: 1ms
memory: 3496kb
input:
800 pffpgppguqqugllgwhhwxjjxpkkpxnnxlkklunnuxiixallayqqyccccjnnjnyynqccqqjjqtuutboobwddwfwwfgvvgwuuwpqqppttpyggysrrsgwwgeddexbbxbssbvbbvbeebweewwkkwwddwnoontddtcddcajjapffptcctkeekboobfjjfvaavpjjpriirlfflnazdsevmozgezlngnhktrllcgorjoollwtqylmmzxfeibnifcebsnnugzluzlizievzxfnlokzodymigextlmyltzbmptyjf...
output:
27479
result:
ok single line: '27479'
Test #8:
score: 5
Accepted
time: 1ms
memory: 3568kb
input:
8000 vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv...
output:
3820477
result:
ok single line: '3820477'
Test #9:
score: 5
Accepted
time: 1ms
memory: 3532kb
input:
8000 neenbnnbvjjvddddommolrrlzttzqwwqlfflijjiaqqayaayihhiqmmqduudlzzlyzzyannatyytfiifbqqbroorcffcgjjgwhhwoqqopuupdjjdeqqewnnwvwwvpiiprqqrukkuhbbhsiisrqqrxvvxfmmfzkkzjlljimmiazzariirdvvdcuucpaapbaabbaabccccxqqxivvipttpqffqmggmzhhzdaadyxxyhccheddeaiianggnxjjxqssqfaafqllqskksfuufviivozzocwwcznnzfxxfnss...
output:
2713693
result:
ok single line: '2713693'
Test #10:
score: 5
Accepted
time: 1ms
memory: 3512kb
input:
8000 ivviurrukrrkaccafoofaxxaleelcyycsiisimmifvvfoeeodppdneenqjjqsccsguugonnoyiiymttmcjjcmkkmjwwjieeikeekdbbdolloyvvyolloxiixmaamfnnfzrrzqbbqweewvttvboobbeebcmmcsqqsiyyifddfyvvyvttvvddvejjeeeeeleellzzlzbbzcrrcobbowsswquuqozzoyqqyulluwvvwyxxyxllxwrrwgmmgeppecvvcsiisyvvyukkuyppyryyrhjjhthhtvssvvnnvnee...
output:
2721590
result:
ok single line: '2721590'
Test #11:
score: 5
Accepted
time: 17ms
memory: 5184kb
input:
200000 tdaatgfvypbdkxdlvttiuksoooxszoqnqvmtznizlqfstlenqrnmdpkmvhmzftporwzvlbpyplrvrkgrpvqxyjcwwpcinilarbaudodadcglszflkzvmmdahgqphqoueltddqlymwpvweslymviccsmhuezesmlwsswgznaofullpxciuezrbkxfnodiglhpyrfcjajyuqzfoxsysgeqrqmvtqysypgaivfetwhmgxngzdvavbkipanoopqftdmntwpxgaljiqrkppywfuspzfgljheckapftjqar...
output:
8356
result:
ok single line: '8356'
Test #12:
score: 5
Accepted
time: 13ms
memory: 5096kb
input:
200000 nleqrvpkpopfbstnolidsxrfhivbwbbqbwxmvymzmnwozrbklbuwliccquzhpfjsbxlnkzewvjpjarqmwcpsvovxeynjrgdjxrauincbnjvokawliinjqqulwxxeztpbrotihuiyjjqsxxosragocxbpjmhquczgwfakfaojxslteazikjqkebpcrrggswjiyetkpyvjubhtoounhveftykvetuwqgpddicnarbsigpjytmhcymvapbmkforkaeccsuhmwiuljmvajlztzjghnohlmxnmdehfxnra...
output:
8340
result:
ok single line: '8340'
Test #13:
score: 5
Accepted
time: 11ms
memory: 5112kb
input:
200000 abbabbbbbbaababaaabaaaababaaaaaabbababababbabbaaababbbbaabaabbbbbbababaabababbababaabbaabaaaabbbbbaabbbbaababbbabaaababbbbbbbbbbabbbabaabaabaababbbbbbabaabbbbbbbbbbaaabbbbabaabbaababaaabbabbaaabbbbbaaabababaababbaaabbbbababbbbbbaaaabaaaaaaabbbaabbaaaabbabbbbbaabbbbbbbabbaaaabaaabaabbaaaababbb...
output:
52315097
result:
ok single line: '52315097'
Test #14:
score: 5
Accepted
time: 8ms
memory: 5096kb
input:
200000 aaaababaaaaabbabababbbbabbbbababbabbaabaaabbabbaabaaaaaabaaaabbbbbbbabaabbabaabababbbaabbbbabbbbbaabaaaabaaaababaaaabbaaaaabbbabbbabbbbbbbaabbbabbaaabbbabaabaaaaaaaaababbaaabbbbaabaabbaaababbabbaabbbbaaababbbbbbbbbbbaabaaabbaaabaabbaaabbabaabbabbaabbbababbaaabaaaaaabbbbbbbabaabbabbaabaabaabaa...
output:
72221142
result:
ok single line: '72221142'
Test #15:
score: 5
Accepted
time: 7ms
memory: 5016kb
input:
200000 yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy...
output:
2395581278
result:
ok single line: '2395581278'
Test #16:
score: 5
Accepted
time: 10ms
memory: 5172kb
input:
200000 sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss...
output:
2396621459
result:
ok single line: '2396621459'
Test #17:
score: 5
Accepted
time: 7ms
memory: 5056kb
input:
200000 ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo...
output:
2395864064
result:
ok single line: '2395864064'
Test #18:
score: 5
Accepted
time: 99ms
memory: 20772kb
input:
2000000 iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii...
output:
239586659381
result:
ok single line: '239586659381'
Test #19:
score: 5
Accepted
time: 101ms
memory: 20784kb
input:
2000000 bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb...
output:
239687303822
result:
ok single line: '239687303822'
Test #20:
score: 5
Accepted
time: 103ms
memory: 20856kb
input:
2000000 vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv...
output:
239608981171
result:
ok single line: '239608981171'