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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#543133 | #8527. Power Divisions | ucup-team4821# | WA | 1145ms | 52880kb | C++20 | 3.3kb | 2024-09-01 14:13:41 | 2024-09-01 14:13:42 |
Judging History
answer
#include <bits/stdc++.h>
template <unsigned long long MOD = 1000000007>
struct mint
{
unsigned long long v;
mint(unsigned long long v_ = 0) : v(v_) {}
mint &operator+=(const mint &X) { return (v += X.v) >= MOD ? v -= MOD : v, *this; }
mint &operator-=(const mint &X) { return (v += MOD - X.v) >= MOD ? v -= MOD : v, *this; }
mint &operator*=(const mint &X) { return v = 1llu * v * X.v % MOD, *this; }
mint &operator/=(const mint &X) { return *this *= X.inv(); }
mint pow(long long B) const
{
mint res = 1, A = *this;
while (B)
{
if (B & 1)
res *= A;
A *= A;
B >>= 1;
}
return res;
}
friend mint operator+(const mint &A, const mint &B) { return mint(A) += B; }
friend mint operator-(const mint &A, const mint &B) { return mint(A) -= B; }
friend mint operator*(const mint &A, const mint &B) { return mint(A) *= B; }
friend mint operator/(const mint &A, const mint &B) { return mint(A) /= B; }
friend bool operator<(const mint &A, const mint &B) { return A.v < B.v; }
friend bool operator==(const mint &A, const mint &B) { return A.v == B.v; }
friend std::ostream &operator<<(std::ostream &A, const mint &B) { return A << B.v; }
};
mint<> dp[300005];
mint<1000'000'000'000'000'003> pw[1000105];
int n, a[300005];
void solve(int l, int r)
{
static int b[1000100], tag[1000100], tim;
if (r - l == 1)
{
dp[r] += dp[l];
return;
}
int mid = (l + r) >> 1;
solve(l, mid);
std::map<mint<1000'000'000'000'000'003>, mint<>> map;
mint<1000'000'000'000'000'003> cur;
map.clear();
++tim;
cur = 0;
for (int i = mid; i-- != l;)
map[cur += pw[a[i]]] += dp[i];
cur = 0;
for (int i = mid, max = 0; i != r; ++i)
{
if (tag[a[i]] != tim)
tag[a[i]] = tim, b[a[i]] = 0;
++b[a[i]];
cur += pw[a[i]];
max = std::max(max, a[i]);
for (int j = a[i]; b[j] >= 2; ++j)
{
if (tag[j + 1] != tim)
tag[j + 1] = tim, b[j + 1] = 0;
b[j + 1] += b[j] >> 1;
b[j] &= 1;
max = std::max(max, j + 1);
}
dp[i + 1] += map[pw[max + 1] - cur];
}
map.clear();
++tim;
cur = 0;
for (int i = mid, max = 0; i-- != l;)
{
if (tag[a[i]] != tim)
tag[a[i]] = tim, b[a[i]] = 0;
++b[a[i]];
cur += pw[a[i]];
max = std::max(max, a[i]);
for (int j = a[i]; b[j] >= 2; ++j)
{
if (tag[j + 1] != tim)
tag[j + 1] = tim, b[j + 1] = 0;
b[j + 1] += b[j] >> 1;
b[j] &= 1;
max = std::max(max, j + 1);
}
if (cur == pw[max])
continue;
map[pw[max + 1] - cur] += dp[i];
}
cur = 0;
for (int i = mid; i != r; ++i)
dp[i + 1] += map[cur += pw[a[i]]];
solve(mid, r);
}
signed main()
{
std::ios::sync_with_stdio(false);
pw[0] = 1;
for (int i = 1; i <= 1000000; ++i)
pw[i] = pw[i - 1] + pw[i - 1];
std::cin >> n;
for (int i = 0; i != n; ++i)
std::cin >> a[i];
dp[0] = 1;
solve(0, n);
std::cout << dp[n] << std::endl;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 17956kb
input:
5 2 0 0 1 1
output:
6
result:
ok 1 number(s): "6"
Test #2:
score: 0
Accepted
time: 0ms
memory: 15856kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 15972kb
input:
2 1 1
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 4ms
memory: 16120kb
input:
3 2 1 1
output:
3
result:
ok 1 number(s): "3"
Test #5:
score: 0
Accepted
time: 4ms
memory: 16268kb
input:
4 3 2 2 3
output:
4
result:
ok 1 number(s): "4"
Test #6:
score: 0
Accepted
time: 0ms
memory: 16224kb
input:
5 3 4 4 2 4
output:
2
result:
ok 1 number(s): "2"
Test #7:
score: 0
Accepted
time: 0ms
memory: 17968kb
input:
7 3 4 3 5 6 3 4
output:
6
result:
ok 1 number(s): "6"
Test #8:
score: 0
Accepted
time: 3ms
memory: 16180kb
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: 0ms
memory: 15960kb
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: 0ms
memory: 16232kb
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: 3ms
memory: 18188kb
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: 23ms
memory: 18260kb
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: 153ms
memory: 23628kb
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: 0
Accepted
time: 962ms
memory: 52880kb
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
result:
ok 1 number(s): "842503795"
Test #15:
score: 0
Accepted
time: 485ms
memory: 35780kb
input:
300000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...
output:
432100269
result:
ok 1 number(s): "432100269"
Test #16:
score: -100
Wrong Answer
time: 1145ms
memory: 52508kb
input:
300000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 10000...
output:
1
result:
wrong answer 1st numbers differ - expected: '432100269', found: '1'