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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#473598 | #8527. Power Divisions | GenshinImpactsFault | TL | 1477ms | 53252kb | C++14 | 2.6kb | 2024-07-12 11:09:45 | 2024-07-12 11:09:45 |
Judging History
answer
#include <bits/stdc++.h>
#pragma GCC optimize(3)
using namespace std;
typedef long long ll;
const int N = 1000040;
const int mod = 1e9 + 7;
const int mod1 = 1e9 + 7, mod2 = 1e9 + 9;
int n, a[N];
int ba1[N], ba2[N];
int sum1[N], sum2[N];
int st[N][19], lg[N];
int f[N];
vector<int> t[N];
int stal[N], topl;
int star[N], topr;
map<ll, int> ma;
int find_max(int l, int r) {
int k = lg[r - l + 1];
int x = st[l][k], y = st[r - (1 << k) + 1][k];
return max(a[x], a[y]);
}
void solve(int l, int r) {
if(l >= r) {
t[r].push_back(l - 1);
return ;
}
int mid = (l + r) >> 1;
solve(l, mid), solve(mid + 1, r);
int mx = 0;
for(int i = mid; i >= l; i--) {
mx = max(mx, a[i]);
for(int j = 1; j <= 18; j++) {
int s1 = (sum1[i - 1] + ba1[mx + j]) % mod1;
int s2 = (sum2[i - 1] + ba2[mx + j]) % mod2;
if(ma.find(1ll * s1 * mod2 + s2) == ma.end()) continue;
int x = ma[1ll * s1 * mod2 + s2];
if(x <= mid || x > r) continue;
int tmp = find_max(i, x);
if(tmp != mx) continue;
t[x].push_back(i - 1);
}
}
mx = 0;
for(int i = mid + 1; i <= r; i++) {
mx = max(mx, a[i]);
for(int j = 1; j <= 18; j++) {
int s1 = (sum1[i] - ba1[mx + j] + mod1) % mod1;
int s2 = (sum2[i] - ba2[mx + j] + mod2) % mod2;
if(ma.find(1ll * s1 * mod2 + s2) == ma.end()) continue;
int x = ma[1ll * s1 * mod2 + s2];
if(x >= mid || x < l - 1) continue;
int tmp = find_max(x + 1, i);
if(tmp != mx) continue;
t[i].push_back(x);
}
}
}
int main() {
// freopen("K.in", "r", stdin);
ios::sync_with_stdio(0); cin.tie(nullptr);
cin >> n;
for(int i = 1; i <= n; i++) cin >> a[i];
lg[0] = -1;
for(int i = 1; i <= n; i++) lg[i] = lg[i >> 1] + 1;
for(int i = 1; i <= n; i++) st[i][0] = i;
for(int j = 1; (1 << j) <= n; j++)
for(int i = 1; i + (1 << j) - 1 <= n; i++) {
if(a[st[i][j - 1]] > a[st[i + (1 << (j - 1))][j - 1]])
st[i][j] = st[i][j - 1];
else st[i][j] = st[i + (1 << (j - 1))][j - 1];
}
ba1[0] = ba2[0] = 1;
for(int i = 1; i <= 1000020; i++) {
ba1[i] = 1ll * ba1[i - 1] * 2 % mod1;
ba2[i] = 1ll * ba2[i - 1] * 2 % mod2;
}
for(int i = 1; i <= n; i++) {
sum1[i] = (sum1[i - 1] + ba1[a[i]]) % mod1;
sum2[i] = (sum2[i - 1] + ba2[a[i]]) % mod2;
}
for(int i = 0; i <= n; i++) {
ma[1ll * sum1[i] * mod2 + sum2[i]] = i;
}
solve(1, n);
f[0] = 1;
for(int i = 1; i <= n; i++) {
sort(t[i].begin(), t[i].end());
t[i].resize(unique(t[i].begin(), t[i].end()) - t[i].begin());
// for(auto v : t[i]) cout << v + 1 << " " << i << "\n";
for(auto v : t[i]) f[i] = (f[i] + f[v]) % mod;
}
cout << f[n] << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 6ms
memory: 44624kb
input:
5 2 0 0 1 1
output:
6
result:
ok 1 number(s): "6"
Test #2:
score: 0
Accepted
time: 6ms
memory: 36824kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 7ms
memory: 42616kb
input:
2 1 1
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 12ms
memory: 42552kb
input:
3 2 1 1
output:
3
result:
ok 1 number(s): "3"
Test #5:
score: 0
Accepted
time: 3ms
memory: 42492kb
input:
4 3 2 2 3
output:
4
result:
ok 1 number(s): "4"
Test #6:
score: 0
Accepted
time: 0ms
memory: 44620kb
input:
5 3 4 4 2 4
output:
2
result:
ok 1 number(s): "2"
Test #7:
score: 0
Accepted
time: 3ms
memory: 42552kb
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: 42484kb
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: 11ms
memory: 42556kb
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: 6ms
memory: 42544kb
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: 23ms
memory: 42768kb
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: 178ms
memory: 45976kb
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: 1477ms
memory: 53252kb
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
Time 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...