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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#855356 | #8228. 排序 | Withers | 100 ✓ | 2722ms | 93384kb | C++14 | 3.1kb | 2025-01-12 18:51:14 | 2025-01-12 18:51:16 |
Judging History
answer
#include<bits/stdc++.h>
#define Withers using
#define AK namespace
#define IOI std
Withers AK IOI;typedef long long ll;typedef pair<int,int>pii;
#define infll 0x3f3f3f3f3f3f3f3f
#define inf 0x3f3f3f3f
#define endl '\n'
#define YES cout<<"YES"<<endl
#define NO cout<<"NO"<<endl
#define deb(x)cout<<#x<<"="<<x<<" ";
#define pb push_back
#define fi first
#define se second
#define mx3(a,b,c)((a>b?a:b)>c?(a>b?a:b):c)
#define mn3(a,b,c)((a<b?a:b)<c?(a<b?a:b):c)
#define mem(a,b)memset(a,b,sizeof(a))
#define rep(i,a,b)for(int i=a;i<=b;i++)
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];
}
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;
}
void solve()
{
//do something
cin>>n>>m;
n--;
for(int i = 1; i <= m; i++) cin>>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;
}
void multi()
{
//rd(tst);
int tst=1;
while(tst--)
{
solve();
}
// pcc();
}
signed main()
{
ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
multi();
}
// POWERED BY WITHERS
// THINK ONCE, CODE TWICE
/*things to check
1. int overflow or long long memory need
2. recursion/array/binary search/dp/loop bounds
3. precision
4. special cases(n=1,bounds)
5. delete debug statements
6. initialize(especially multi-tests)
7. = or == , n or m ,++ or -- , i or j , > or >= , < or <= , - or =
8. keep it simple and stupid
9. do not delete, use // instead
10. operator priority
11. is there anything extra to output?
12. if you don't know where the bug is , try to clear some parts of the code
and check each part seperately.
13. ...
*/
/* something to think about
1. greedy? dp? searching? dp with matrix/ segment tree? binary search?
2. If contains "not", why not 正难则反 or few affect?
*/
// lgvc bilibilitdasc zxx zy graygoo tt cyx wsc akioi!
詳細信息
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 0ms
memory: 3644kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 18
Accepted
time: 0ms
memory: 3584kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 18
Accepted
time: 1ms
memory: 3664kb
input:
8 4 6 3 2 1
output:
15 4
result:
ok 2 number(s): "15 4"
Test #4:
score: 18
Accepted
time: 1ms
memory: 3780kb
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: 1ms
memory: 3660kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 18
Accepted
time: 0ms
memory: 3880kb
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: 3996kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 27
Accepted
time: 16ms
memory: 4772kb
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: 4668kb
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: 14ms
memory: 4680kb
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: 3940kb
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: 4244kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 21
Accepted
time: 0ms
memory: 3680kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 21
Accepted
time: 100ms
memory: 12836kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 21
Accepted
time: 118ms
memory: 12684kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 21
Accepted
time: 126ms
memory: 13116kb
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: 195ms
memory: 13108kb
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: 3968kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 10
Accepted
time: 0ms
memory: 3816kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 10
Accepted
time: 310ms
memory: 46524kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 10
Accepted
time: 252ms
memory: 39736kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 10
Accepted
time: 35ms
memory: 9584kb
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: 1478ms
memory: 93060kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 24
Accepted
time: 2580ms
memory: 93260kb
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: 2401ms
memory: 93292kb
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: 2465ms
memory: 92684kb
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: 2119ms
memory: 92488kb
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: 2722ms
memory: 93384kb
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: 1423ms
memory: 77220kb
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