QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#359004 | #8228. 排序 | luanmenglei | 100 ✓ | 771ms | 20064kb | C++17 | 2.3kb | 2024-03-20 10:29:00 | 2024-03-20 10:29:00 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
namespace SOL {
using i64 = long long;
void debug(const char *msg, ...) {
#ifdef CLESIP
va_list arg;
static char pbString[512];
va_start(arg,msg);
vsprintf(pbString,msg,arg);
cerr << "[DEBUG] " << pbString << "\n";
va_end(arg);
#endif
}
template<typename T, typename L>
bool chkmax(T &x, L y) { if (x < y) return x = y, true; return false; }
template<typename T, typename L>
bool chkmin(T &x, L y) { if (y < x) return x = y, true; return false; }
const int N = 30;
const int M = 10;
const int K = 1.1e6;
const i64 P = 1e9 + 7;
int n, m, d[M], pw[M + 1], cnt[N], a[M], mask[M][M];
struct Node {
i64 sum, cnt;
} f[K];
void mod(i64 &x, i64 y) {
x += y;
if (x >= P)
x -= P;
}
void trans(Node &lhs, const Node &rhs, int cost) {
if (lhs.cnt == rhs.cnt + cost)
mod(lhs.sum, rhs.sum);
else if (lhs.cnt < rhs.cnt + cost)
lhs = { rhs.sum, rhs.cnt + cost };
}
int gen_mask(int p, int q, int cnt) {
return mask[p][q] & ((1 << min(30, cnt * d[p])) - 1);
}
void solve() {
cin >> n >> m;
for (int i = 0; i < m; i ++) {
cin >> d[i];
for (int j = 0; j < n; j ++)
mask[i][j % d[i]] |= (1 << j);
}
for (int i = 0; i < n; i ++)
cnt[i % d[0]] ++;
pw[0] = 1;
for (int i = 1; i <= d[0]; i ++)
pw[i] = pw[i - 1] * (cnt[i - 1] + 1);
// debug("pw[%d] = %d", d[0], pw[d[0]]);
f[0].sum = 1;
for (int S = 0; S < pw[d[0]]; S ++) {
// debug("S: %d", S);
for (int i = 0; i < d[0]; i ++)
a[i] = (S / pw[i]) % (cnt[i] + 1);
for (int i = 0; i < d[0]; i ++) if (a[i] < cnt[i]) {
int cost = cnt[i] - a[i] - 1, pos = i + (cnt[i] - a[i] - 1) * d[0], T = 0;
for (int j = 0; j < d[0]; j ++)
T |= gen_mask(0, j, cnt[j] - a[j] - (i == j));
for (int j = 1; j < m; j ++) {
int q = pos % d[j];
cost += __builtin_popcount((T & mask[j][q]) >> pos);
pos = q + __builtin_popcount(T & mask[j][q]) * d[j];
int nxt = 0;
for (int k = 0; k < d[j]; k ++)
nxt |= gen_mask(j, k, __builtin_popcount(T & mask[j][k]));
T = nxt;
}
// debug("i: %d cost: %d", i, cost);
trans(f[S + pw[i]], f[S], cost);
}
}
cout << f[pw[d[0]] - 1].cnt % P << " " << f[pw[d[0]] - 1].sum << "\n";
}
}
int main() {
ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
SOL::solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 1ms
memory: 3656kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
8 4 6 3 2 1
output:
15 4
result:
ok 2 number(s): "15 4"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
8 6 8 7 5 4 2 1
output:
14 2
result:
ok 2 number(s): "14 2"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
8 1 1
output:
28 1
result:
ok 2 number(s): "28 1"
Subtask #2:
score: 27
Accepted
Dependency #1:
100%
Accepted
Test #7:
score: 27
Accepted
time: 1ms
memory: 3648kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 0
Accepted
time: 7ms
memory: 3868kb
input:
16 8 10 9 8 7 6 5 4 1
output:
57 5
result:
ok 2 number(s): "57 5"
Test #9:
score: 0
Accepted
time: 8ms
memory: 3752kb
input:
16 10 10 9 8 7 6 5 4 3 2 1
output:
57 3
result:
ok 2 number(s): "57 3"
Test #10:
score: 0
Accepted
time: 6ms
memory: 3788kb
input:
16 7 10 9 8 6 5 4 1
output:
49 1
result:
ok 2 number(s): "49 1"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
16 4 7 6 2 1
output:
52 9
result:
ok 2 number(s): "52 9"
Subtask #3:
score: 21
Accepted
Dependency #2:
100%
Accepted
Test #12:
score: 21
Accepted
time: 1ms
memory: 3720kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 0
Accepted
time: 30ms
memory: 5196kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 0
Accepted
time: 38ms
memory: 5348kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 0
Accepted
time: 47ms
memory: 5196kb
input:
22 6 10 9 8 7 3 1
output:
97 1
result:
ok 2 number(s): "97 1"
Test #17:
score: 0
Accepted
time: 71ms
memory: 5308kb
input:
22 10 10 9 8 7 6 5 4 3 2 1
output:
109 1
result:
ok 2 number(s): "109 1"
Subtask #4:
score: 10
Accepted
Test #18:
score: 10
Accepted
time: 1ms
memory: 3732kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 0
Accepted
time: 54ms
memory: 11612kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 0
Accepted
time: 48ms
memory: 10084kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 0
Accepted
time: 6ms
memory: 4908kb
input:
25 2 8 1
output:
195 8
result:
ok 2 number(s): "195 8"
Subtask #5:
score: 24
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Test #23:
score: 24
Accepted
time: 332ms
memory: 19956kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 0
Accepted
time: 710ms
memory: 19948kb
input:
30 9 10 9 8 7 6 5 4 3 1
output:
184 6
result:
ok 2 number(s): "184 6"
Test #25:
score: 0
Accepted
time: 619ms
memory: 20016kb
input:
30 8 10 9 8 7 4 3 2 1
output:
154 1
result:
ok 2 number(s): "154 1"
Test #26:
score: 0
Accepted
time: 589ms
memory: 20064kb
input:
30 8 10 8 7 6 5 4 3 1
output:
155 1
result:
ok 2 number(s): "155 1"
Test #27:
score: 0
Accepted
time: 460ms
memory: 19992kb
input:
30 6 10 8 6 4 3 1
output:
150 4
result:
ok 2 number(s): "150 4"
Test #28:
score: 0
Accepted
time: 771ms
memory: 20040kb
input:
30 10 10 9 8 7 6 5 4 3 2 1
output:
184 6
result:
ok 2 number(s): "184 6"
Test #29:
score: 0
Accepted
time: 357ms
memory: 15860kb
input:
29 6 10 9 7 5 3 1
output:
129 200
result:
ok 2 number(s): "129 200"
Extra Test:
score: 0
Extra Test Passed