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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 |
---|---|---|---|---|---|---|---|---|---|
#280492 | #7780. Dark LaTeX vs. Light LaTeX | ucup-team1469# | TL | 739ms | 198548kb | C++20 | 12.4kb | 2023-12-09 16:29:16 | 2023-12-09 16:29:17 |
Judging History
answer
#line 1 "main.cpp"
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tag_and_trait.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// namespace gt = __gnu_pbds;
#define IS_MULTITEST 0
using namespace std;
// #include "angel/math/modint.hpp"
#line 1 "/Library/atcoder/string.hpp"
#line 9 "/Library/atcoder/string.hpp"
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int>& s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r) return false;
while (l < n && r < n) {
if (s[l] != s[r]) return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int>& s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y]) return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int>& s, int upper) {
int n = int(s.size());
if (n == 0) return {};
if (n == 1) return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper) sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int>& lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n) continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1) sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r]) same = false;
}
if (!same) rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa =
sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int>& s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T>& s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]]) now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string& s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T>& s,
const std::vector<int>& sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0) h--;
if (rnk[i] == 0) continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h]) break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string& s, const std::vector<int>& sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T>& s) {
int n = int(s.size());
if (n == 0) return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int& k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k]) k++;
if (j + z[j] < i + z[i]) j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string& s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#line 12 "main.cpp"
#pragma region Macros
// clang-format off
using ll = long long; using uint = unsigned int; using ull = unsigned long long;
using i32 = int; using i64 = ll; using u32 = uint; using u64 = ull;
using i128 = __int128_t; using u128 = __uint128_t;
using Str = string;
template <class T> using Vec = vector<T>;
template <class T> using RevPriq = priority_queue<T, vector<T>, greater<T>>;
constexpr std::array<std::pair<int, int>, 4> dxy4 = {{{-1, 0}, {0, 1}, {1, 0}, {0, -1}}};
constexpr std::array<std::pair<int, int>, 8> dxy8 = {
{{-1, -1}, {-1, 0}, {-1, 1}, {0, 1}, {1, 1}, {1, 0}, {1, -1}, {0, -1}}};
constexpr int inf32 = 1 << 30; constexpr ll inf64 = 1ll << 60;
constexpr char eoln = '\n';
#define L(i, l, r) for (int i = (l); i < (r); ++i)
#define R(i, l, r) for (int i = (r) - 1; i >= (l); --i)
#define ALL(x) (x).begin(), (x).end()
#define mem(a, x) memset((a), (x), sizeof(a))
#define sz(a) (int)((a).size())
#define fi first
#define se second
#define pb push_back
#define mp make_pair
// clang-format on
#pragma endregion
// Coding Space
// vars
// funcs
class Trie {
public:
Vec<int> s;
int sid;
struct Node {
Node *next[26];
int sub, id;
Node() : sub(0) {
for (int i = 0; i < 26; i++) {
next[i] = nullptr;
}
}
};
Node *root;
Trie() {
root = new Node();
sid = 0;
}
// Trie木にxを加える
void add(string s) {
Node *curr = root;
for (int i = 0; i < (int)s.size(); i++) {
int y = s[i] - 'a';
if (!curr->next[y]) {
curr->next[y] = new Node();
}
curr->sub++;
curr = curr->next[y];
}
curr->sub++;
}
// 何らかのクエリ
void dfs(Node *cur) {
cur->id = sid;
s.pb(cur->sub);
++sid;
for (int i = 0; i < 26; ++i) {
if (!cur->next[i]) continue;
dfs(cur->next[i]);
}
s.pb(-(cur->sub));
++sid;
}
void ad() {
L(i, 1, sz(s)) s[i] += s[i - 1];
}
int query(Node *curr, int d) {
int res = 0;
for (int i = 0; i < 26; i++) {
if (curr->next[i]) {
res += query(curr->next[i], d + 1);
}
}
return res;
}
int query() {
return query(root, 0);
}
};
void main_() {
auto sol = [&](Str a, Str b) -> ll {
int N = sz(a), M = sz(b);
Vec<Vec<int>> csame(M);
reverse(ALL(b));
L(m, 0, M) {
auto z = atcoder::z_algorithm(b.substr(m, M - m));
Vec<int> u(m, 0);
copy(ALL(z), back_inserter(u));
z = move(u);
reverse(ALL(z));
csame[M - m - 1].resize(M);
L(i, 0, M) {
csame[M - m - 1][i] = z[i];
}
}
reverse(ALL(b));
Trie tree;
L(i, 0, N) {
tree.add(a.substr(i, N - i));
}
tree.dfs(tree.root);
tree.ad();
ll res = 0;
Vec<int> ids(M + 1);
L(l, 0, M) {
int sid = 1;
Trie::Node *cur = tree.root;
bool ok = true;
L(r, l, M) {
if (ok and cur->next[b[r] - 'a'] != nullptr) {
cur = cur->next[b[r] - 'a'];
ids[sid++] = cur->id;
ids.pb(cur->id);
} else {
ok = false;
}
int mx = l == 0 ? 0 : min(r - l, csame[r][l - 1]);
int u = r - l + 1 - mx, v = r - l + 1;
ll val = tree.s[ids[min(v, sid - 1)]] - (u == 0 ? 0 : tree.s[ids[min(u - 1, sid - 1)]]);
res += val;
}
}
return res;
};
Str S, T;
cin >> S >> T;
ll ans = sol(S, T) + sol(T, S);
int N = sz(S), M = sz(T);
L(i, 0, N) {
auto z = atcoder::z_algorithm(S.substr(i, N - i) + 'A' + T);
L(j, 0, M) {
int val = z[N - i + 1 + j];
ans -= val;
}
}
cout << ans << endl;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
if constexpr (IS_MULTITEST == 0) {
main_();
} else {
// multitest (cf-style)
int T;
cin >> T;
while (T--) {
main_();
cout << flush;
}
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3904kb
input:
abab ab
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
abab abaaab
output:
29
result:
ok 1 number(s): "29"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
abcd abcde
output:
10
result:
ok 1 number(s): "10"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
aaba ba
output:
6
result:
ok 1 number(s): "6"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
babababaaabbaabababbbaabbbababbaaaaa aaaabbaababbab
output:
1161
result:
ok 1 number(s): "1161"
Test #6:
score: 0
Accepted
time: 739ms
memory: 198548kb
input:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...
output:
78156256250000
result:
ok 1 number(s): "78156256250000"
Test #7:
score: 0
Accepted
time: 92ms
memory: 116700kb
input:
gzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggz...
output:
60716448
result:
ok 1 number(s): "60716448"
Test #8:
score: 0
Accepted
time: 83ms
memory: 116492kb
input:
mlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllml...
output:
60679828
result:
ok 1 number(s): "60679828"
Test #9:
score: -100
Time Limit Exceeded
input:
vbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvb...