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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#447021 | #8527. Power Divisions | ucup-team3215 | ML | 321ms | 310968kb | C++20 | 2.1kb | 2024-06-17 20:23:17 | 2024-06-17 20:23:18 |
Judging History
answer
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
constexpr int N = 3e5 + 1, exps[]{37, 11, 9, 8, 7, 5};
using E = array<uint64_t, size(exps)>;
constexpr uint64_t mod = -49ull / 2;
template <int i>
struct um: conditional_t<i == size(exps), vector<int>, __gnu_pbds::gp_hash_table<uint64_t, um<i + 1>>> { };
um<0> m;
vector<int> ls[N];
template <int i = 0>
auto& mget(const E& e, auto& m) {
if constexpr (i == size(exps)) return m;
else return mget<i + 1>(e, m[e[i]]);
}
template <int i = 0>
void walk(const E& e, auto& m, uint64_t k, uint64_t pr, auto f) {
if constexpr (i == size(exps)) f(m, k, pr);
else {
uint64_t step = pr;
while (step % exps[i] != 1) step += pr;
while (k % exps[i]) k += pr;
pr *= exps[i];
if (m.size() != 1)
for (int j = 0; j < exps[i]; ++j) {
auto it = m.find((e[i] + (1ull << exps[i]) - 1 - (1ull << j)) % ((1ull << exps[i]) - 1));
if (it != m.end()) walk<i + 1>(e, it->second, k, pr, f);
k = (k + step) % pr;
}
else if (auto& [ke, v] = *m.begin(); 1)
for (int j = 0; j < exps[i]; ++j) {
if ((e[i] + (1ull << exps[i]) - 1 - (1ull << j)) % ((1ull << exps[i]) - 1) == ke) walk<i + 1>(e, v, k, pr, f);
k = (k + step) % pr;
}
}
}
int dp[N];
uint64_t pw[(int)1.1e6];
uint64_t pss[N];
int main() {
cin.tie(0)->sync_with_stdio(0);
pw[0] = 1;
for (uint64_t i = 1, p = 2; i < size(pw); ++i) pw[i] = p, p = (p + p) % mod;
int n; cin >> n;
E ps{};
uint64_t psm{};
for (int i = 0; ; ++i) {
mget(ps, m).push_back(i);
walk(ps, m, 0, 1, [&](auto& v, auto k, auto p) { for (auto& j: v) if (pss[j] == (psm + mod - pw[k]) % mod) ls[i].push_back(j); });
pss[i] = psm;
if (i == n) break;
int v; cin >> v;
for (int j = 0; j < size(exps); ++j) ps[j] = (ps[j] + (1ull << v % exps[j])) % ((1ull << exps[j]) - 1);
psm = (psm + pw[v]) % mod;
}
dp[0] = 1;
for (int i = 1; i <= n; ++i)
for (auto j: ls[i]) dp[i] = (dp[i] + dp[j]) % ((int)1e9 + 7);
cout << dp[n];
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 12692kb
input:
5 2 0 0 1 1
output:
6
result:
ok 1 number(s): "6"
Test #2:
score: 0
Accepted
time: 4ms
memory: 12948kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 12212kb
input:
2 1 1
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 4ms
memory: 12444kb
input:
3 2 1 1
output:
3
result:
ok 1 number(s): "3"
Test #5:
score: 0
Accepted
time: 4ms
memory: 12492kb
input:
4 3 2 2 3
output:
4
result:
ok 1 number(s): "4"
Test #6:
score: 0
Accepted
time: 4ms
memory: 12280kb
input:
5 3 4 4 2 4
output:
2
result:
ok 1 number(s): "2"
Test #7:
score: 0
Accepted
time: 8ms
memory: 12492kb
input:
7 3 4 3 5 6 3 4
output:
6
result:
ok 1 number(s): "6"
Test #8:
score: 0
Accepted
time: 4ms
memory: 12248kb
input:
10 8 6 5 6 7 8 6 8 9 9
output:
4
result:
ok 1 number(s): "4"
Test #9:
score: 0
Accepted
time: 4ms
memory: 12808kb
input:
96 5 1 0 2 5 5 2 4 2 4 4 2 3 4 0 2 1 4 3 1 2 0 2 2 3 2 4 5 3 5 2 0 2 2 5 3 0 4 5 3 5 4 4 3 1 2 0 5 4 5 0 2 3 2 4 0 0 4 2 0 2 5 3 3 1 5 5 1 1 1 0 5 0 3 0 2 1 1 0 5 0 3 3 4 4 5 3 0 2 2 0 5 4 5 0 5
output:
11332014
result:
ok 1 number(s): "11332014"
Test #10:
score: 0
Accepted
time: 10ms
memory: 16100kb
input:
480 2 0 4 4 1 0 0 3 1 1 4 2 5 5 4 2 1 2 4 4 1 3 4 3 0 5 2 0 2 5 1 0 5 0 0 5 5 0 2 5 2 2 3 1 4 3 5 4 5 2 4 4 4 4 1 4 0 3 4 3 4 1 0 4 3 4 5 4 3 5 0 2 2 0 1 5 4 4 2 0 3 3 3 4 3 0 5 5 3 1 5 1 0 1 0 4 3 0 5 1 4 1 4 3 0 1 3 5 0 3 3 1 0 4 1 1 2 0 1 2 0 3 5 2 0 5 5 5 5 3 5 1 0 2 5 2 2 0 2 0 2 3 5 1 2 1 5 4 ...
output:
506782981
result:
ok 1 number(s): "506782981"
Test #11:
score: 0
Accepted
time: 14ms
memory: 31328kb
input:
2400 0 2 2 0 5 4 3 2 3 2 5 4 5 4 4 5 2 2 4 2 2 0 1 0 5 0 4 4 0 0 5 0 4 0 1 3 4 5 0 3 1 0 4 0 2 5 0 3 3 3 3 1 0 5 5 3 1 3 5 2 4 0 5 0 4 5 4 2 2 1 5 2 2 4 1 0 5 1 5 0 1 2 0 0 3 5 4 0 0 1 1 1 4 2 0 5 1 3 3 5 0 4 4 1 5 5 3 4 4 4 0 2 4 0 5 1 3 1 5 0 5 5 1 3 0 3 1 2 0 1 1 3 5 2 3 4 0 3 0 5 4 0 4 3 5 0 5 2...
output:
586570528
result:
ok 1 number(s): "586570528"
Test #12:
score: 0
Accepted
time: 59ms
memory: 87292kb
input:
12000 2 2 1 2 0 2 5 3 2 0 1 3 2 5 4 0 0 5 3 2 0 2 3 4 3 2 1 4 3 0 3 5 4 1 0 2 4 1 3 2 3 5 0 3 0 0 4 0 4 5 1 0 4 1 1 1 5 4 3 0 3 5 4 5 2 5 0 1 2 3 5 5 2 5 4 2 0 4 4 3 0 0 2 5 0 3 4 2 5 4 2 1 4 5 1 1 2 3 0 3 3 3 3 4 0 5 3 4 0 3 0 2 0 0 2 0 3 4 2 2 0 1 0 5 3 0 2 0 2 2 1 0 5 3 5 4 5 5 0 4 0 4 1 4 4 3 2 ...
output:
201653965
result:
ok 1 number(s): "201653965"
Test #13:
score: 0
Accepted
time: 321ms
memory: 310968kb
input:
60000 2 5 0 3 2 3 5 3 5 5 4 1 1 5 3 0 1 1 2 5 5 5 0 3 2 0 3 2 3 3 0 0 1 4 3 1 4 2 3 3 0 5 1 0 1 1 5 5 4 0 5 4 1 3 1 3 5 3 2 4 4 4 5 4 3 2 3 2 4 5 2 0 4 5 1 2 0 4 0 5 1 3 4 1 2 4 1 1 3 3 0 1 1 3 0 0 2 3 3 2 1 4 1 2 4 3 3 5 2 5 3 4 3 0 2 1 1 1 5 1 2 4 2 3 1 2 1 0 2 0 1 1 5 5 3 4 2 5 2 4 5 3 0 5 1 4 2 ...
output:
592751350
result:
ok 1 number(s): "592751350"
Test #14:
score: -100
Memory Limit Exceeded
input:
300000 0 5 1 5 5 4 5 3 0 5 0 5 1 4 1 2 2 2 3 0 1 5 4 0 3 1 4 5 2 1 0 3 2 1 2 5 0 2 4 5 0 1 2 1 1 0 0 5 3 0 0 3 4 5 0 2 1 1 1 2 5 1 4 3 1 0 2 0 0 4 3 3 2 5 3 3 1 5 2 0 2 4 3 1 0 3 4 1 3 3 1 0 0 1 1 1 3 1 2 3 5 3 3 2 0 3 0 0 5 5 0 0 0 0 1 4 3 3 4 3 4 5 3 3 5 1 1 4 2 2 1 3 2 1 1 0 0 5 5 0 0 3 2 4 5 5 2...
output:
842503795