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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 |
---|---|---|---|---|---|---|---|---|---|
#844408 | #8228. 排序 | juan_123 | 100 ✓ | 4167ms | 49144kb | C++14 | 2.8kb | 2025-01-05 21:14:50 | 2025-01-05 21:14:52 |
Judging History
answer
/*
请问如何想到从小到大插入。
*/
#include<bits/stdc++.h>
using namespace std;
const int mod = 1000000007;
unordered_map<int,pair<int,int> >mp;
//用 map 维护出现情况,优先队列维护转移顺序
priority_queue<int,vector<int>,greater<int> >q;
int n,m;
int d[35];
int a[35];
int calc(int j){
//计算 j 点被交换的次数
// for(int i = 0;i<n;i++)cout << a[i] << " ";cout << endl;
int pos = j,ans = 0;
for(int i = 1;i<=m;i++){
int tt = 0,c = 0,st = pos%d[i];
/*
for(int j =0;j<d[i];j++){
for(int k =j;k<n;k+=d[i]){
for(int l = k;l!=j and a[l]>a[l-d[i]];l-=d[i]){
swap(a[l],a[l-d[i]]);
if(a[l]==0 or a[l-d[i]]==0)++ans;
}
}
}
*/
for(int j =0;j<d[i];j++){
if(j == st)continue;
// cout << " " << j << endl;
int tt =0,c = 0;
int now = j;
while(now<n){tt += (a[now]==1);now+=d[i];}
now = j;
while(now<n){
++c;
if(c<=tt)a[now] = 1;
else a[now] = -1;
now += d[i];
}
}
for(int j = st;j<n;j+=d[i]){
// cout << j << " " << a[j] << " " << pos << endl;
if(a[j]==1){
++tt;
ans+=(j>pos);
}
if(a[j]==-1){
ans+=(j<pos);
}
}
//cout << ans << endl;
while(st<n){
++c;
if(c <= tt)a[st] = 1;
else{
if(c == tt+1)a[st] = 0,pos = st;
else a[st] = -1;
}
st += d[i];
}
// for(int i =0;i<n;i++)cout << " " << a[i];cout << endl;
}
// for(int i =0;i<n;i++)cout << a[i] << " ";cout << endl;
for(int i =1;i<n;i++)assert(a[i]<=a[i-1]);
// cout << ans << endl;
return ans;
}
signed main(){
cin >> n >> m;
for(int i = 1;i<=m;i++)cin >> d[i];
for(int i = 0;i<d[1];i++){
int cc = 0;
for(int j =0;j<n;j++)a[j] = 1;a[i] = 0;
mp[(1<<i)] = {calc(i),1};
q.push(1<<i);
}
while(!q.empty()){
auto e = q.top();q.pop();
int S = e;auto ee = mp[S];int mx = ee.first,cnt = ee.second;
// cout << " " << S << " " << mx << " " << cnt << endl;
for(int i =0;i<d[1];i++){
for(int j = i;j<n;j+=d[1]){
if(!(S>>j&1)){
// cout << j << endl;
//往 j 里塞 i
for(int i = 0;i<n;i++){
if(S>>i&1)a[i] = -1;
else a[i] = 1;
}
a[j] = 0;
int to = S|(1<<j),mmx = mx+calc(j);
if(!mp.count(to)){
q.push(to);
mp[to] = {mmx,cnt};
}else{
auto e = mp[to];
if(e.first == mmx){
e.second = (e.second+cnt);
if(e.second>=mod)e.second-=mod;
}else if(e.first < mmx){
e.first = mmx,e.second = cnt;
}
mp[to] = e;
}
break;
}
}
}
}
int tt =0 ;
for(int i =0;i<d[1];i++){
int cc =0 ;
for(int j = i;j<n;j+=d[1])cc++;
tt = tt+cc*(cc-1)/2;
}
auto e = mp[(1<<n)-1];
int mx = e.first,cnt = e.second;
cout << mx/2 << " " << cnt << endl;
}/*
30 9
10 9 8 7 6 5 4 3 1
*/
詳細信息
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 0ms
memory: 3512kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 18
Accepted
time: 0ms
memory: 3604kb
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: 3588kb
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: 3620kb
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: 3552kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 18
Accepted
time: 0ms
memory: 3580kb
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: 3684kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 27
Accepted
time: 20ms
memory: 3948kb
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: 22ms
memory: 4004kb
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: 17ms
memory: 3944kb
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: 4ms
memory: 3976kb
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: 2ms
memory: 3996kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 21
Accepted
time: 0ms
memory: 3736kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 21
Accepted
time: 160ms
memory: 8124kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 21
Accepted
time: 180ms
memory: 8052kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 21
Accepted
time: 197ms
memory: 7988kb
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: 282ms
memory: 8064kb
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: 5ms
memory: 3828kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 10
Accepted
time: 0ms
memory: 3520kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 10
Accepted
time: 782ms
memory: 25704kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 10
Accepted
time: 618ms
memory: 23096kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 10
Accepted
time: 99ms
memory: 6332kb
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: 2333ms
memory: 49084kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 24
Accepted
time: 3806ms
memory: 48980kb
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: 3418ms
memory: 49144kb
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: 3551ms
memory: 49128kb
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: 2919ms
memory: 49068kb
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: 4167ms
memory: 49144kb
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: 2102ms
memory: 43472kb
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