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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#446034 | #8529. Balance of Permutation | ucup-team3215 | AC ✓ | 7295ms | 1034272kb | C++20 | 3.6kb | 2024-06-16 20:07:53 | 2024-06-16 20:07:53 |
Judging History
answer
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#pragma GCC target "abm,bmi,bmi2"
using namespace std;
constexpr int N = 1e6;
using u32 = uint32_t;
using u64 = uint64_t;
using u128 = __uint128_t;
u64 splitmix(u64 x) {
x += 0x9e3779b97f4a7c15;
(x ^= x >> 30) *= 0xbf58476d1ce4e5b9;
(x ^= x >> 27) *= 0x94d049bb133111eb;
return x ^ (x >> 31);
}
template <typename V>
struct umap {
vector<u64> keys;
vector<V> vals;
vector<u32> nx;
vector<u32> head;
int cap{};
int geti(u64 k) {
reserve();
k = splitmix(k);
for (int i = head[k & cap]; ~i; i = nx[i]) if (keys[i] == k) return i;
nx.push_back(head[k & cap]);
head[k & cap] = keys.size();
keys.push_back(k);
vals.push_back({});
return vals.size() - 1;
}
void reserve() {
if (keys.size() * 2 < cap) return;
cap = max(cap * 2 + 1, 6);
head.assign(cap + 1, -1);
nx.clear();
for (int i = 0; i < keys.size(); ++i) {
nx.push_back(head[keys[i] & cap]);
head[keys[i] & cap] = i;
}
}
};
int n, b;
umap<u64> mem_[30][30][256];
u64 cnt_(int l, int c, int b, u32 m) {
if (m >> l & 1) ++c, m -= 1 << l;
if (l == n || b < 0) return !b;
int loc = mem_[l][c][b].geti(m);
if (mem_[l][c][b].vals[loc]) return ~mem_[l][c][b].vals[loc];
int mx = (2 * n - 1 - c - 2 * l) * c / 2, mn = (n - 1 + l) * (n - l) / 2 - c * l;
for (int t = m; t; t &= t - 1) mn -= __builtin_ctz(t);
for (int i = n - c, t = m; --i > l; ) {
if (int d = __builtin_ctz(t); d < i) mx += i - d, t &= t - 1;
else break;
}
if (b < mn || b > mx) return mem_[l][c][b].vals[loc] = -1, 0;
u64 ans{};
if (c) ans += cnt_(l + 1, c - 1, b - c + 1, m) * c;
for (u32 t = m; t; t &= t - 1) ans += cnt_(l + 1, c, b - c, m - (t & -t));
mem_[l][c][b].vals[loc] = ~ans;
return ans;
}
umap<u128> mem[30][30][256];
u128 cnt(int l, int c, int b, u32 m) {
if (n - l < 21) return cnt_(l, c, b, m);
if (m >> l & 1) ++c, m -= 1 << l;
if (l == n || b < 0) return !b;
int loc = mem[l][c][b].geti(m);
if (mem[l][c][b].vals[loc]) return ~mem[l][c][b].vals[loc];
int mx = (2 * n - 1 - c - 2 * l) * c / 2, mn = (n - 1 + l) * (n - l) / 2 - c * l;
for (int t = m; t; t &= t - 1) mn -= __builtin_ctz(t);
for (int i = n - c, t = m; --i > l; ) {
if (int d = __builtin_ctz(t); d < i) mx += i - d, t &= t - 1;
else break;
}
if (b < mn || b > mx) return mem[l][c][b].vals[loc] = -1, 0;
u128 ans{};
if (c) ans += cnt(l + 1, c - 1, b - c + 1, m) * c;
for (u32 t = m; t; t &= t - 1) ans += cnt(l + 1, c, b - c, m - (t & -t));
mem[l][c][b].vals[loc] = ~ans;
return ans;
}
u128 cnt(int l, int b, u32 m) {
int c = 0;
for (int i = 0; i < l; ++i) if (m & 1 << i) {
++c;
b -= l - i;
m ^= 1 << i;
}
auto ans = cnt(l, c, b, m);
return ans;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> b; b /= 2;
u128 k{};
for (char c; cin >> c && isdigit(c); ) k = k * 10 + c - '0';
u32 ans[30], l = 0, m = (1 << n) - 1;
while (l < n) {
for (int i = 0; i < n; ++i) if (m & 1 << i) if (auto t = cnt(l + 1, b - max((int)l - i, {}), m - (1 << i)); t >= k) {
b -= max((int)l - i, {});
ans[l++] = i + 1;
m -= 1 << i;
break;
} else k -= t;
if (l % 2 == 0)
for (auto& mem: mem)
for (auto& mem: mem)
for (auto& mem: mem) mem.cap = 0, mem.head = {}, mem.nx = {}, mem.vals = {}, mem.keys = {}, mem.head.shrink_to_fit(), mem.nx.shrink_to_fit(), mem.vals.shrink_to_fit(), mem.keys.shrink_to_fit();
}
for (int i = 0; i < n; ++i) cout << ans[i] << ' ';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 27756kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 3667ms
memory: 578448kb
input:
30 300 3030303030303030303030
output:
1 2 3 4 9 23 20 28 24 16 21 17 27 29 8 26 25 30 19 18 22 12 7 13 6 10 5 15 14 11
result:
ok 30 numbers
Test #3:
score: 0
Accepted
time: 2ms
memory: 3628kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 7ms
memory: 27376kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 0ms
memory: 27064kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 4ms
memory: 27012kb
input:
5 8 3
output:
1 5 4 2 3
result:
ok 5 number(s): "1 5 4 2 3"
Test #7:
score: 0
Accepted
time: 3ms
memory: 27112kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 5ms
memory: 27096kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 3ms
memory: 27036kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 3ms
memory: 27056kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 7ms
memory: 27184kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 5ms
memory: 27124kb
input:
10 48 10001
output:
7 5 8 9 6 10 3 4 1 2
result:
ok 10 numbers
Test #13:
score: 0
Accepted
time: 8ms
memory: 27156kb
input:
10 42 10101
output:
3 9 6 8 10 5 7 2 1 4
result:
ok 10 numbers
Test #14:
score: 0
Accepted
time: 13ms
memory: 28724kb
input:
25 300 1
output:
7 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 8 9 10 11 12 13
result:
ok 25 numbers
Test #15:
score: 0
Accepted
time: 31ms
memory: 36300kb
input:
25 300 283788388040048639877
output:
25 24 23 22 21 20 19 18 17 16 11 12 13 14 15 10 9 8 7 5 6 4 2 1 3
result:
ok 25 numbers
Test #16:
score: 0
Accepted
time: 204ms
memory: 77140kb
input:
26 302 105773752969551707419545
output:
19 22 25 13 17 18 23 20 10 26 16 6 5 11 14 12 24 4 3 21 1 15 7 8 2 9
result:
ok 26 numbers
Test #17:
score: 0
Accepted
time: 619ms
memory: 151768kb
input:
27 308 8781128321749037280676555
output:
16 18 17 21 25 6 20 24 22 15 27 5 7 8 2 9 26 13 1 3 14 10 23 19 4 11 12
result:
ok 27 numbers
Test #18:
score: 0
Accepted
time: 1659ms
memory: 304172kb
input:
28 304 806517199954337651602356955
output:
12 17 5 16 23 26 25 15 20 2 19 7 22 24 6 13 11 10 28 8 1 21 18 14 27 3 4 9
result:
ok 28 numbers
Test #19:
score: 0
Accepted
time: 3319ms
memory: 523748kb
input:
29 322 40281026669581503094652149519
output:
16 21 10 25 17 29 9 28 2 8 26 27 22 4 3 5 18 14 19 1 23 20 15 11 13 7 6 12 24
result:
ok 29 numbers
Test #20:
score: 0
Accepted
time: 2902ms
memory: 481984kb
input:
30 400 46479902466857426153849991132
output:
25 19 30 29 9 20 26 21 14 27 28 10 22 11 24 2 7 4 18 17 5 13 12 6 8 1 15 23 16 3
result:
ok 30 numbers
Test #21:
score: 0
Accepted
time: 36ms
memory: 33976kb
input:
30 450 1140008168482799670544355
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 3 5 9 4 8 14 10 6 11 12 15 7 13
result:
ok 30 numbers
Test #22:
score: 0
Accepted
time: 1049ms
memory: 301064kb
input:
30 150 480087379811286955791425915
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 6 14 23 21 24 26 27 22 19 29
result:
ok 30 numbers
Test #23:
score: 0
Accepted
time: 1072ms
memory: 301092kb
input:
30 150 480087379811286955791439470
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 19 6 22 24 21 23 26 14 29 27
result:
ok 30 numbers
Test #24:
score: 0
Accepted
time: 167ms
memory: 65412kb
input:
30 440 41509275104334759322587324
output:
22 23 20 24 18 30 19 26 21 28 4 29 17 25 27 16 3 1 2 5 8 13 10 15 7 12 9 14 11 6
result:
ok 30 numbers
Test #25:
score: 0
Accepted
time: 35ms
memory: 34208kb
input:
30 450 1140008168482800727111311
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 5 7 14 4 15 8 11 3 13 10 9 6 12
result:
ok 30 numbers
Test #26:
score: 0
Accepted
time: 2883ms
memory: 483652kb
input:
30 400 52289890275214604423031772929
output:
26 27 29 21 28 16 18 11 2 25 24 23 6 30 20 13 17 10 15 4 9 12 8 22 19 1 5 7 3 14
result:
ok 30 numbers
Test #27:
score: 0
Accepted
time: 16ms
memory: 27888kb
input:
30 0 1
output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #28:
score: 0
Accepted
time: 26ms
memory: 31236kb
input:
30 450 1
output:
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
result:
ok 30 numbers
Test #29:
score: 0
Accepted
time: 28ms
memory: 33572kb
input:
30 450 1710012252724199424000000
output:
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
result:
ok 30 numbers
Test #30:
score: 0
Accepted
time: 40ms
memory: 35096kb
input:
30 450 1692383260428073656742269
output:
30 27 26 28 18 29 21 19 25 17 20 16 24 22 23 7 13 4 6 3 5 12 1 15 14 9 11 8 2 10
result:
ok 30 numbers
Test #31:
score: 0
Accepted
time: 7295ms
memory: 1034272kb
input:
30 302 5918364042599361729860937331200
output:
30 29 28 27 26 25 14 8 9 10 11 12 13 7 15 16 17 18 19 20 21 22 23 24 6 5 4 3 2 1
result:
ok 30 numbers
Test #32:
score: 0
Accepted
time: 5915ms
memory: 982368kb
input:
30 254 2256781660157136563723839089600
output:
25 2 3 12 7 16 19 8 22 6 11 17 27 26 10 24 15 21 20 18 28 9 30 23 14 13 5 29 4 1
result:
ok 30 numbers
Test #33:
score: 0
Accepted
time: 59ms
memory: 39224kb
input:
30 448 3131906441000512625049600
output:
23 20 28 18 26 30 19 29 27 22 17 24 21 25 2 13 16 15 14 12 11 10 9 8 7 6 5 4 3 1
result:
ok 30 numbers
Test #34:
score: 0
Accepted
time: 15ms
memory: 28640kb
input:
30 2 20
output:
1 2 3 4 5 6 7 8 9 11 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #35:
score: 0
Accepted
time: 24ms
memory: 27868kb
input:
30 2 29
output:
2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Extra Test:
score: 0
Extra Test Passed