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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 |
---|---|---|---|---|---|---|---|---|---|
#391416 | #8228. 排序 | djwj233 | 100 ✓ | 2784ms | 480744kb | C++14 | 3.1kb | 2024-04-16 16:16:00 | 2024-04-16 16:16:01 |
Judging History
answer
#include <bits/stdc++.h>
#include <bits/extc++.h>
using namespace std;
using namespace __gnu_pbds;
#define fo(v,a,b) for(int v = a; v <= b; v++)
#define fr(v,a,b) for(int v = a; v >= b; v--)
#define cl(a,v) memset(a, v, sizeof(a))
typedef long long ll;
#pragma GCC optimize("Ofast")
const ll P = 1e9 + 7;
const int N = 35, M = 11;
typedef unsigned int ull;
// typedef unsigned long long ull;
const ull B = 131;
int n, m, d[M];
struct value { int v; ll cnt; } ;
inline value operator+(const value &a, const value &b) {
if(a.v == b.v) return {a.v, a.cnt + b.cnt};
if(a.v < b.v) return b;
return a;
}
ull pw[N];
inline ull hsh(vector<int> vec) {
ull sum = 0;
for(int i = 0; i < (int)vec.size(); i++)
sum += (vec[i] + 1) * pw[i];
return sum;
}
__gnu_pbds::gp_hash_table<ull, int> mp[M];
int arr[N], rb[N][N];
void dfs(int id, int x, vector<int> now) {
if(x == d[id]) {
if(id == m) {
if(now[0]) now.push_back(0), mp[id][hsh(now)] = 0;
return ;
}
fo(i, 0, n - 1) arr[i] = ((i / d[id]) < now[i % d[id]]);
vector<int> nxt; nxt.resize(d[id + 1]);
fo(i, 0, n - 1) nxt[i % d[id + 1]] += arr[i];
fo(i, 0, n - 1) {
arr[i] ^= 1; if(i >= d[id + 1]) arr[i] += arr[i - d[id + 1]];
}
ull vNow = hsh(now), vNxt = hsh(nxt);
fo(i, 0, d[id] - 1) if(now[i]) {
int pos = i + (now[i] - 1) * d[id], cur = arr[pos];
mp[id][vNow + (i + 1) * pw[d[id]]] =
mp[id + 1][vNxt + (pos % d[id + 1] + 1) * pw[d[id + 1]]] + cur;
}
return ;
}
fo(i, 0, rb[d[id]][x]) {
now.push_back(i);
dfs(id, x + 1, now);
now.pop_back();
}
}
__gnu_pbds::gp_hash_table<ull, value> dp; value ans;
void calcDP(int cnt, int x, vector<int> now) {
if(x == d[1]) {
auto vv = hsh(now);
if(cnt == 0) return dp[vv] = {0, 1}, void();
ull vNow = hsh(now);
fo(i, 0, d[1] - 1) if(now[i]) {
vector<int> nxt = now; value cur = dp[vNow - pw[i]];
// nxt[i] += 1, nxt.push_back(i);
cur.v += mp[1][vNow + (i + 1) * pw[d[1]]];
dp[vv] = dp[vv] + cur;
}
if(cnt == n) ans = dp[vv];
return ;
}
fo(i, 0, rb[d[1]][x]) {
now.push_back(i);
calcDP(cnt + i, x + 1, now);
now.pop_back();
}
}
int main()
{
// n = 30, m = 2;
// d[1] = 10, d[2] = 1;
// n = 30, m = 4;
// d[1] = 10, d[2] = 9, d[3] = 5, d[4] = 1;
scanf("%d%d", &n, &m);
fo(i, 1, m) scanf("%d", &d[i]), d[i] = min(d[i], n);
pw[0] = 1; fo(i, 1, n) pw[i] = pw[i - 1] * B;
fo(u, 1, n) fo(i, 0, u - 1)
rb[u][i] = n / u - (i >= (n % u)) + 1;
fr(i, m, 1) dfs(i, 0, {});
fo(i, 2, m) __gnu_pbds::gp_hash_table<ull, int>().swap(mp[i]);
calcDP(0, 0, {});
fo(x, 0, d[1] - 1) {
int num = n / d[1] - (x >= (n % d[1])) + 1;
ans.v += num * (num - 1) / 2;
}
printf("%d %lld\n", ans.v, ans.cnt);
return 0;
}
/*
*/
详细
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 1ms
memory: 3816kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3932kb
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: 3984kb
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: 1ms
memory: 4004kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3944kb
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: 2ms
memory: 4276kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 0
Accepted
time: 23ms
memory: 12544kb
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: 23ms
memory: 12624kb
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: 16ms
memory: 11776kb
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: 0ms
memory: 4884kb
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: 4ms
memory: 5232kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 0
Accepted
time: 0ms
memory: 4172kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 0
Accepted
time: 169ms
memory: 46592kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 0
Accepted
time: 135ms
memory: 45116kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 0
Accepted
time: 206ms
memory: 61932kb
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: 212ms
memory: 64664kb
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: 0ms
memory: 5208kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 0
Accepted
time: 865ms
memory: 183872kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 0
Accepted
time: 672ms
memory: 183804kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 0
Accepted
time: 85ms
memory: 31892kb
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: 2612ms
memory: 429548kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 0
Accepted
time: 2763ms
memory: 480520kb
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: 2784ms
memory: 471520kb
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: 2443ms
memory: 429392kb
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: 2367ms
memory: 429428kb
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: 2776ms
memory: 480744kb
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: 1961ms
memory: 423028kb
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