#include "wiring.h"
#include <bits/stdc++.h>
#define sz(a) a.size()
using namespace std;
typedef long long int ll;
const ll INF = 1e16;
const int MAXN = 2e5+5;
ll pre[MAXN],suff[MAXN]; //pre and suff min
ll min_total_length(vector<int> R,vector<int> B) {
vector<array<int,2>>a;
for(int x:R)a.push_back({x,0});
for(int x:B)a.push_back({x,1});
sort(a.begin(),a.end());
vector<vector<int>>b;
int n = sz(a);
for(int i=0;i<n;i++){
int j = i;
b.push_back({a[i][0]});
while(j+1<n && a[j][1] == a[j+1][1]){
j++;
b.back().push_back(a[j][0]);
}
i = j;
}
vector<int>s;
for(auto x:b)s.push_back(sz(x));
for(int i=0;i<=n;i++)suff[i] = pre[i] = INF;
pre[s[0]] = suff[s[0]] = 0;
for(int i=0;i<s[0];i++){
pre[s[0]] += b[0].back() - b[0][i];
suff[s[0]] += b[0].back() - b[0][i];
}
//compute prefix and suffix min
suff[s[0]] += 1LL * s[0] * (b[1][0] - b[0].back()); //distance in between
int t = max(s[0],s[1]);
for(int i=1;i<=t;i++)pre[i] = min(pre[i],pre[i-1]);
for(int i=t-1;i>=0;i--)suff[i] = min(suff[i],suff[i+1]);
/*
for(auto x:b){
for(int y:x)cout<<y<<" ";
cout<<'\n';
}*/
for(int i=1;i<sz(s);i++){
vector<ll>tmp(s[i]+1,0);
//tmp[i] = min cost if i guys from this batch is assigned to the left
ll cur = 0;
for(int j=0;j<=s[i];j++){
if(j)cur += b[i][j-1] - b[i][0];
ll x = pre[j] + 1LL * j * (b[i][0] - b[i-1].back()); //distance in between
ll y = suff[j];
tmp[j] = cur + min(x,y);
}
cur = 0;
reverse(tmp.begin(),tmp.end());
for(int j=0;j<=s[i];j++){
if(j)cur += b[i].back() - b[i][s[i]-j];
tmp[j] += cur;
}
/*
cout<<"at "<<i<<'\n';
for(ll x:tmp)cout<<x<<" ";
cout<<'\n';*/
//tmp[i] = min cost if i guys assigned to the right
if(i == sz(s)-1)return tmp[0];
int t = max(s[i],s[i+1]);
for(int j=0;j<=t;j++)pre[j] = suff[j] = INF;
for(int j=0;j<=s[i];j++){
pre[j] = suff[j] = tmp[j];
suff[j] += 1LL * j * (b[i+1][0] - b[i].back());
}
for(int j=1;j<=t;j++)pre[j] = min(pre[j],pre[j-1]);
for(int j=t-1;j>=0;j--)suff[j] = min(suff[j],suff[j+1]);
}
return 0;
}
Compilation message
wiring.cpp: In function 'll min_total_length(std::vector<int>, std::vector<int>)':
wiring.cpp:47:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
47 | for(int i=1;i<sz(s);i++){
| ^
wiring.cpp:69:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
69 | if(i == sz(s)-1)return tmp[0];
| ~~^~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2492 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
27 ms |
6504 KB |
Output is correct |
4 |
Correct |
21 ms |
6604 KB |
Output is correct |
5 |
Correct |
21 ms |
7532 KB |
Output is correct |
6 |
Correct |
30 ms |
9160 KB |
Output is correct |
7 |
Correct |
28 ms |
8836 KB |
Output is correct |
8 |
Correct |
28 ms |
8908 KB |
Output is correct |
9 |
Correct |
29 ms |
9032 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
50 ms |
10432 KB |
Output is correct |
4 |
Correct |
49 ms |
11180 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2392 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2488 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
51 ms |
12484 KB |
Output is correct |
19 |
Correct |
53 ms |
12448 KB |
Output is correct |
20 |
Correct |
49 ms |
11628 KB |
Output is correct |
21 |
Correct |
50 ms |
12484 KB |
Output is correct |
22 |
Correct |
50 ms |
12028 KB |
Output is correct |
23 |
Correct |
53 ms |
11972 KB |
Output is correct |
24 |
Correct |
50 ms |
12228 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
37 ms |
7544 KB |
Output is correct |
3 |
Correct |
43 ms |
9920 KB |
Output is correct |
4 |
Correct |
41 ms |
8900 KB |
Output is correct |
5 |
Correct |
43 ms |
10080 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
36 ms |
9136 KB |
Output is correct |
19 |
Correct |
39 ms |
8772 KB |
Output is correct |
20 |
Correct |
37 ms |
8904 KB |
Output is correct |
21 |
Correct |
34 ms |
9020 KB |
Output is correct |
22 |
Correct |
36 ms |
9668 KB |
Output is correct |
23 |
Correct |
29 ms |
9520 KB |
Output is correct |
24 |
Correct |
31 ms |
9676 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2492 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
2 ms |
2396 KB |
Output is correct |
19 |
Correct |
27 ms |
6504 KB |
Output is correct |
20 |
Correct |
21 ms |
6604 KB |
Output is correct |
21 |
Correct |
21 ms |
7532 KB |
Output is correct |
22 |
Correct |
30 ms |
9160 KB |
Output is correct |
23 |
Correct |
28 ms |
8836 KB |
Output is correct |
24 |
Correct |
28 ms |
8908 KB |
Output is correct |
25 |
Correct |
29 ms |
9032 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
50 ms |
10432 KB |
Output is correct |
29 |
Correct |
49 ms |
11180 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2392 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2488 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
2396 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
51 ms |
12484 KB |
Output is correct |
44 |
Correct |
53 ms |
12448 KB |
Output is correct |
45 |
Correct |
49 ms |
11628 KB |
Output is correct |
46 |
Correct |
50 ms |
12484 KB |
Output is correct |
47 |
Correct |
50 ms |
12028 KB |
Output is correct |
48 |
Correct |
53 ms |
11972 KB |
Output is correct |
49 |
Correct |
50 ms |
12228 KB |
Output is correct |
50 |
Correct |
1 ms |
2396 KB |
Output is correct |
51 |
Correct |
37 ms |
7544 KB |
Output is correct |
52 |
Correct |
43 ms |
9920 KB |
Output is correct |
53 |
Correct |
41 ms |
8900 KB |
Output is correct |
54 |
Correct |
43 ms |
10080 KB |
Output is correct |
55 |
Correct |
1 ms |
2396 KB |
Output is correct |
56 |
Correct |
1 ms |
2396 KB |
Output is correct |
57 |
Correct |
1 ms |
2396 KB |
Output is correct |
58 |
Correct |
1 ms |
2392 KB |
Output is correct |
59 |
Correct |
1 ms |
2396 KB |
Output is correct |
60 |
Correct |
1 ms |
2396 KB |
Output is correct |
61 |
Correct |
1 ms |
2396 KB |
Output is correct |
62 |
Correct |
1 ms |
2396 KB |
Output is correct |
63 |
Correct |
1 ms |
2396 KB |
Output is correct |
64 |
Correct |
1 ms |
2396 KB |
Output is correct |
65 |
Correct |
1 ms |
2396 KB |
Output is correct |
66 |
Correct |
1 ms |
2392 KB |
Output is correct |
67 |
Correct |
36 ms |
9136 KB |
Output is correct |
68 |
Correct |
39 ms |
8772 KB |
Output is correct |
69 |
Correct |
37 ms |
8904 KB |
Output is correct |
70 |
Correct |
34 ms |
9020 KB |
Output is correct |
71 |
Correct |
36 ms |
9668 KB |
Output is correct |
72 |
Correct |
29 ms |
9520 KB |
Output is correct |
73 |
Correct |
31 ms |
9676 KB |
Output is correct |
74 |
Correct |
30 ms |
10444 KB |
Output is correct |
75 |
Correct |
42 ms |
9668 KB |
Output is correct |
76 |
Correct |
37 ms |
10184 KB |
Output is correct |
77 |
Correct |
39 ms |
9460 KB |
Output is correct |
78 |
Correct |
35 ms |
9916 KB |
Output is correct |
79 |
Correct |
40 ms |
9664 KB |
Output is correct |
80 |
Correct |
33 ms |
9864 KB |
Output is correct |
81 |
Correct |
40 ms |
10196 KB |
Output is correct |
82 |
Correct |
39 ms |
9456 KB |
Output is correct |
83 |
Correct |
29 ms |
9924 KB |
Output is correct |
84 |
Correct |
35 ms |
9912 KB |
Output is correct |
85 |
Correct |
43 ms |
9724 KB |
Output is correct |
86 |
Correct |
33 ms |
10240 KB |
Output is correct |
87 |
Correct |
38 ms |
10108 KB |
Output is correct |
88 |
Correct |
46 ms |
9888 KB |
Output is correct |
89 |
Correct |
36 ms |
9932 KB |
Output is correct |
90 |
Correct |
41 ms |
10252 KB |
Output is correct |
91 |
Correct |
33 ms |
10160 KB |
Output is correct |
92 |
Correct |
38 ms |
10280 KB |
Output is correct |
93 |
Correct |
35 ms |
9900 KB |
Output is correct |
94 |
Correct |
37 ms |
10224 KB |
Output is correct |
95 |
Correct |
38 ms |
9772 KB |
Output is correct |
96 |
Correct |
31 ms |
10188 KB |
Output is correct |
97 |
Correct |
31 ms |
10700 KB |
Output is correct |
98 |
Correct |
36 ms |
10388 KB |
Output is correct |
99 |
Correct |
44 ms |
10492 KB |
Output is correct |
100 |
Correct |
39 ms |
10180 KB |
Output is correct |
101 |
Correct |
34 ms |
10436 KB |
Output is correct |
102 |
Correct |
41 ms |
9932 KB |
Output is correct |