QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#846056 | #8228. 排序 | aoliao | 100 ✓ | 3387ms | 93360kb | C++14 | 1.8kb | 2025-01-06 21:29:45 | 2025-01-06 21:29:45 |
Judging History
answer
#include<bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
#define LL long long
#define PII pair<int, int>
const int N = 35, M = 15, mod = 1e9 + 7;
int n, m, d[M], ss[M][M];
PII ans;
inline void add(PII &a, PII b)
{
if(a.first < b.first) a = b;
else if(a.first == b.first) (a.second += b.second) >= mod && (a.second -= mod);
}
unordered_map<int, int> to[N];
int get(int x, int s)
{
if(to[x].count(s)) return to[x][s];
to[x][s] = 0;
for(int i = 0; i < d[x]; i++)
{
int t = __builtin_popcount(s & ss[x][i]);
if(t) to[x][s] |= ss[x][i] & (1 << (t - 1) * d[x] + i + 1) - 1;
}
return to[x][s];
}
//第x轮考虑y的贡献,结束时比a[y]小的集合为s
int dfs(int x, int y, int s)
{
if(x == m) return 0;
int y1 = __builtin_popcount(s & ss[x + 1][y % d[x + 1]]) * d[x + 1] + y % d[x + 1],
cnt = y / d[x + 1] - __builtin_popcount(s & ss[x + 1][y % d[x + 1]] & (1 << y) - 1);
return dfs(x + 1, y1, get(x + 1, s)) + cnt;
}
unordered_map<int, PII> g;
PII dp(int s)
{
if(s == 0) return {0, 1};
if(g.count(s)) return g[s];
PII v = {0, 0};
for(int i = 0; i <= n; i++)
if(s >> i & 1 && (LL)s >> i + d[1] & 1 ^ 1)
{
PII t = dp(s ^ 1 << i);
add(v, {t.first + dfs(1, i, s ^ 1 << i), t.second});
}
return g[s] = v;
}
int main()
{
cin >> n >> m;
n--;
for(int i = 1; i <= m; i++) scanf("%d", &d[i]);
reverse(d + 1, d + m + 1);
while(d[m] > n) m--;
reverse(d + 1, d + m + 1);
for(int i = 1; i <= m; i++)
for(int j = 0; j < d[i]; j++)
for(int k = j; k <= n; k += d[i])
ss[i][j] |= 1 << k;
int res = 0;
for(int i = 0; i < d[1]; i++)
{
int t = (n - i) / d[1] + 1;
res += t * (t - 1) / 2;
}
ans = dp((1 << n + 1) - 1);
cout << ans.first + res << " " << ans.second << endl;
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: 3592kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 18
Accepted
time: 0ms
memory: 3540kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 18
Accepted
time: 0ms
memory: 3616kb
input:
8 4 6 3 2 1
output:
15 4
result:
ok 2 number(s): "15 4"
Test #4:
score: 18
Accepted
time: 0ms
memory: 3856kb
input:
8 6 8 7 5 4 2 1
output:
14 2
result:
ok 2 number(s): "14 2"
Test #5:
score: 18
Accepted
time: 0ms
memory: 3612kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 18
Accepted
time: 0ms
memory: 3536kb
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: 3964kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 27
Accepted
time: 16ms
memory: 4744kb
input:
16 8 10 9 8 7 6 5 4 1
output:
57 5
result:
ok 2 number(s): "57 5"
Test #9:
score: 27
Accepted
time: 18ms
memory: 4708kb
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: 27
Accepted
time: 15ms
memory: 4660kb
input:
16 7 10 9 8 6 5 4 1
output:
49 1
result:
ok 2 number(s): "49 1"
Test #11:
score: 27
Accepted
time: 3ms
memory: 3924kb
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: 3ms
memory: 4136kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 21
Accepted
time: 0ms
memory: 3832kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 21
Accepted
time: 106ms
memory: 12776kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 21
Accepted
time: 123ms
memory: 12796kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 21
Accepted
time: 139ms
memory: 13068kb
input:
22 6 10 9 8 7 3 1
output:
97 1
result:
ok 2 number(s): "97 1"
Test #17:
score: 21
Accepted
time: 222ms
memory: 13104kb
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: 2ms
memory: 3928kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 10
Accepted
time: 0ms
memory: 3624kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 10
Accepted
time: 478ms
memory: 46556kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 10
Accepted
time: 379ms
memory: 39764kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 10
Accepted
time: 41ms
memory: 9672kb
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: 2060ms
memory: 93160kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 24
Accepted
time: 3120ms
memory: 93324kb
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: 24
Accepted
time: 3001ms
memory: 93360kb
input:
30 8 10 9 8 7 4 3 2 1
output:
154 1
result:
ok 2 number(s): "154 1"
Test #26:
score: 24
Accepted
time: 3039ms
memory: 92604kb
input:
30 8 10 8 7 6 5 4 3 1
output:
155 1
result:
ok 2 number(s): "155 1"
Test #27:
score: 24
Accepted
time: 2577ms
memory: 92480kb
input:
30 6 10 8 6 4 3 1
output:
150 4
result:
ok 2 number(s): "150 4"
Test #28:
score: 24
Accepted
time: 3387ms
memory: 93320kb
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: 24
Accepted
time: 1950ms
memory: 77516kb
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