#include <bits/stdc++.h>
#include "wiring.h"
using namespace std;
using pii = pair<int, int>;
using ll = long long;
const int N = 200010;
const int INF = 2e9+2;
int sz[N];
ll dp[N], qsl[N], qsr[N];
ll min_total_length(vector<int> R, vector<int> B)
{
vector<pii> all;
for (auto x : R) all.emplace_back(x, 0);
for (auto x : B) all.emplace_back(x, 1);
int n = all.size();
all.emplace_back(-1, -1);
sort(all.begin(), all.end());
R.insert(R.begin(), -INF);
R.insert(R.end(), INF);
B.insert(B.begin(), -INF);
B.insert(B.end(), INF);
int z = 0;
for (int i = 1; i <= n; ++i) {
if (all[i].second != all[i-1].second) z = 0;
sz[i] = ++z;
}
for (int i = 1; i <= n; ++i)
qsl[i] = qsl[i-1] + all[i].first;
for (int i = n; i >= 1; --i)
qsr[i] = qsr[i+1] + (INF-all[i].first);
for (int i = 1; i <= n; ++i) {
ll nl, nr; // nearest opposite color of all[i].second to the left and to the right
if (all[i].second == 0) {
nl = *(lower_bound(B.begin(), B.end(), all[i].first)-1);
nr = *lower_bound(B.begin(), B.end(), all[i].first);
} else {
nl = *(lower_bound(R.begin(), R.end(), all[i].first)-1);
nr = *lower_bound(R.begin(), R.end(), all[i].first);
}
dp[i] = dp[i-1]+min(all[i].first-nl, nr-all[i].first);
ll j = -1; // from j to i there will be one color followed by another color with equal amount
if (sz[i-sz[i]] >= sz[i]) j = i-sz[i]-sz[i]+1;
if (j != -1) {
ll ml = (i+j)/2;
ll mr = (i+j+1)/2;
ll c = i-ml;
ll cl = (all[ml].first*1ll*c) - (qsl[ml]-qsl[j-1]);
ll cr = (INF-all[mr].first)*1ll*c - (qsr[mr]-qsr[i+1]);
ll cm = (all[mr].first-all[ml].first)*c;
dp[i] = min(dp[i], cl+cr+cm+dp[j-1]);
}
}
return dp[n];
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
248 KB |
Output is correct |
| 2 |
Correct |
3 ms |
356 KB |
Output is correct |
| 3 |
Correct |
2 ms |
564 KB |
Output is correct |
| 4 |
Correct |
3 ms |
576 KB |
Output is correct |
| 5 |
Correct |
2 ms |
576 KB |
Output is correct |
| 6 |
Correct |
2 ms |
652 KB |
Output is correct |
| 7 |
Correct |
2 ms |
652 KB |
Output is correct |
| 8 |
Correct |
2 ms |
652 KB |
Output is correct |
| 9 |
Correct |
2 ms |
652 KB |
Output is correct |
| 10 |
Correct |
3 ms |
652 KB |
Output is correct |
| 11 |
Correct |
3 ms |
652 KB |
Output is correct |
| 12 |
Correct |
3 ms |
652 KB |
Output is correct |
| 13 |
Correct |
3 ms |
652 KB |
Output is correct |
| 14 |
Correct |
3 ms |
652 KB |
Output is correct |
| 15 |
Correct |
2 ms |
720 KB |
Output is correct |
| 16 |
Correct |
2 ms |
720 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
720 KB |
Output is correct |
| 2 |
Correct |
2 ms |
720 KB |
Output is correct |
| 3 |
Correct |
61 ms |
7028 KB |
Output is correct |
| 4 |
Correct |
67 ms |
8456 KB |
Output is correct |
| 5 |
Correct |
105 ms |
9920 KB |
Output is correct |
| 6 |
Correct |
92 ms |
14156 KB |
Output is correct |
| 7 |
Correct |
136 ms |
15920 KB |
Output is correct |
| 8 |
Correct |
91 ms |
17852 KB |
Output is correct |
| 9 |
Correct |
93 ms |
17888 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
17888 KB |
Output is correct |
| 2 |
Correct |
4 ms |
17888 KB |
Output is correct |
| 3 |
Correct |
91 ms |
17888 KB |
Output is correct |
| 4 |
Correct |
133 ms |
17904 KB |
Output is correct |
| 5 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 6 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 7 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 8 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 9 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 10 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 11 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 12 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 13 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 14 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 15 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 16 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 17 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 18 |
Correct |
120 ms |
18012 KB |
Output is correct |
| 19 |
Correct |
106 ms |
18012 KB |
Output is correct |
| 20 |
Correct |
119 ms |
18012 KB |
Output is correct |
| 21 |
Correct |
97 ms |
18012 KB |
Output is correct |
| 22 |
Correct |
107 ms |
18084 KB |
Output is correct |
| 23 |
Correct |
97 ms |
18084 KB |
Output is correct |
| 24 |
Correct |
89 ms |
18084 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 2 |
Correct |
73 ms |
18084 KB |
Output is correct |
| 3 |
Correct |
92 ms |
18084 KB |
Output is correct |
| 4 |
Correct |
91 ms |
18084 KB |
Output is correct |
| 5 |
Correct |
88 ms |
18084 KB |
Output is correct |
| 6 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 7 |
Correct |
2 ms |
18084 KB |
Output is correct |
| 8 |
Correct |
2 ms |
18084 KB |
Output is correct |
| 9 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 10 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 11 |
Correct |
4 ms |
18084 KB |
Output is correct |
| 12 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 13 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 14 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 15 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 16 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 17 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 18 |
Correct |
80 ms |
18084 KB |
Output is correct |
| 19 |
Correct |
126 ms |
18084 KB |
Output is correct |
| 20 |
Correct |
67 ms |
18084 KB |
Output is correct |
| 21 |
Correct |
89 ms |
18084 KB |
Output is correct |
| 22 |
Correct |
84 ms |
18084 KB |
Output is correct |
| 23 |
Correct |
68 ms |
18084 KB |
Output is correct |
| 24 |
Correct |
74 ms |
18084 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
248 KB |
Output is correct |
| 2 |
Correct |
3 ms |
356 KB |
Output is correct |
| 3 |
Correct |
2 ms |
564 KB |
Output is correct |
| 4 |
Correct |
3 ms |
576 KB |
Output is correct |
| 5 |
Correct |
2 ms |
576 KB |
Output is correct |
| 6 |
Correct |
2 ms |
652 KB |
Output is correct |
| 7 |
Correct |
2 ms |
652 KB |
Output is correct |
| 8 |
Correct |
2 ms |
652 KB |
Output is correct |
| 9 |
Correct |
2 ms |
652 KB |
Output is correct |
| 10 |
Correct |
3 ms |
652 KB |
Output is correct |
| 11 |
Correct |
3 ms |
652 KB |
Output is correct |
| 12 |
Correct |
3 ms |
652 KB |
Output is correct |
| 13 |
Correct |
3 ms |
652 KB |
Output is correct |
| 14 |
Correct |
3 ms |
652 KB |
Output is correct |
| 15 |
Correct |
2 ms |
720 KB |
Output is correct |
| 16 |
Correct |
2 ms |
720 KB |
Output is correct |
| 17 |
Correct |
3 ms |
720 KB |
Output is correct |
| 18 |
Correct |
2 ms |
720 KB |
Output is correct |
| 19 |
Correct |
61 ms |
7028 KB |
Output is correct |
| 20 |
Correct |
67 ms |
8456 KB |
Output is correct |
| 21 |
Correct |
105 ms |
9920 KB |
Output is correct |
| 22 |
Correct |
92 ms |
14156 KB |
Output is correct |
| 23 |
Correct |
136 ms |
15920 KB |
Output is correct |
| 24 |
Correct |
91 ms |
17852 KB |
Output is correct |
| 25 |
Correct |
93 ms |
17888 KB |
Output is correct |
| 26 |
Correct |
2 ms |
17888 KB |
Output is correct |
| 27 |
Correct |
4 ms |
17888 KB |
Output is correct |
| 28 |
Correct |
91 ms |
17888 KB |
Output is correct |
| 29 |
Correct |
133 ms |
17904 KB |
Output is correct |
| 30 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 31 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 32 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 33 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 34 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 35 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 36 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 37 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 38 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 39 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 40 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 41 |
Correct |
3 ms |
17904 KB |
Output is correct |
| 42 |
Correct |
2 ms |
17904 KB |
Output is correct |
| 43 |
Correct |
120 ms |
18012 KB |
Output is correct |
| 44 |
Correct |
106 ms |
18012 KB |
Output is correct |
| 45 |
Correct |
119 ms |
18012 KB |
Output is correct |
| 46 |
Correct |
97 ms |
18012 KB |
Output is correct |
| 47 |
Correct |
107 ms |
18084 KB |
Output is correct |
| 48 |
Correct |
97 ms |
18084 KB |
Output is correct |
| 49 |
Correct |
89 ms |
18084 KB |
Output is correct |
| 50 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 51 |
Correct |
73 ms |
18084 KB |
Output is correct |
| 52 |
Correct |
92 ms |
18084 KB |
Output is correct |
| 53 |
Correct |
91 ms |
18084 KB |
Output is correct |
| 54 |
Correct |
88 ms |
18084 KB |
Output is correct |
| 55 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 56 |
Correct |
2 ms |
18084 KB |
Output is correct |
| 57 |
Correct |
2 ms |
18084 KB |
Output is correct |
| 58 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 59 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 60 |
Correct |
4 ms |
18084 KB |
Output is correct |
| 61 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 62 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 63 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 64 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 65 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 66 |
Correct |
3 ms |
18084 KB |
Output is correct |
| 67 |
Correct |
80 ms |
18084 KB |
Output is correct |
| 68 |
Correct |
126 ms |
18084 KB |
Output is correct |
| 69 |
Correct |
67 ms |
18084 KB |
Output is correct |
| 70 |
Correct |
89 ms |
18084 KB |
Output is correct |
| 71 |
Correct |
84 ms |
18084 KB |
Output is correct |
| 72 |
Correct |
68 ms |
18084 KB |
Output is correct |
| 73 |
Correct |
74 ms |
18084 KB |
Output is correct |
| 74 |
Correct |
88 ms |
18084 KB |
Output is correct |
| 75 |
Correct |
82 ms |
18084 KB |
Output is correct |
| 76 |
Correct |
78 ms |
18084 KB |
Output is correct |
| 77 |
Correct |
78 ms |
18084 KB |
Output is correct |
| 78 |
Correct |
86 ms |
18084 KB |
Output is correct |
| 79 |
Correct |
61 ms |
18084 KB |
Output is correct |
| 80 |
Correct |
75 ms |
18084 KB |
Output is correct |
| 81 |
Correct |
85 ms |
18084 KB |
Output is correct |
| 82 |
Correct |
108 ms |
18084 KB |
Output is correct |
| 83 |
Correct |
117 ms |
18084 KB |
Output is correct |
| 84 |
Correct |
93 ms |
18084 KB |
Output is correct |
| 85 |
Correct |
72 ms |
18084 KB |
Output is correct |
| 86 |
Correct |
82 ms |
18084 KB |
Output is correct |
| 87 |
Correct |
75 ms |
18084 KB |
Output is correct |
| 88 |
Correct |
123 ms |
18084 KB |
Output is correct |
| 89 |
Correct |
133 ms |
18084 KB |
Output is correct |
| 90 |
Correct |
81 ms |
18084 KB |
Output is correct |
| 91 |
Correct |
82 ms |
18084 KB |
Output is correct |
| 92 |
Correct |
81 ms |
18084 KB |
Output is correct |
| 93 |
Correct |
80 ms |
18084 KB |
Output is correct |
| 94 |
Correct |
80 ms |
18084 KB |
Output is correct |
| 95 |
Correct |
89 ms |
18084 KB |
Output is correct |
| 96 |
Correct |
81 ms |
18084 KB |
Output is correct |
| 97 |
Correct |
74 ms |
18084 KB |
Output is correct |
| 98 |
Correct |
71 ms |
18084 KB |
Output is correct |
| 99 |
Correct |
74 ms |
18084 KB |
Output is correct |
| 100 |
Correct |
79 ms |
18084 KB |
Output is correct |
| 101 |
Correct |
79 ms |
18084 KB |
Output is correct |
| 102 |
Correct |
79 ms |
18084 KB |
Output is correct |
