#include "wiring.h"
#include <bits/stdc++.h>
using ll = long long;
using namespace std;
#define all(x) begin(x), end(x)
struct SegTree {
using T = ll;
T f(T a, T b) { return min(a, b); }
static constexpr T UNIT = LLONG_MAX;//neutral value for f
vector<T> s; ll n;
SegTree(ll len) : s(2 * len, UNIT), n(len) {}
void set(ll pos, T val) {
for (s[pos += n] = val; pos /= 2;)
s[pos] = f(s[pos * 2], s[pos * 2 + 1]);
}
T query(ll lo, ll hi) { // hi not included
T ra = UNIT, rb = UNIT;
for (lo+=n, hi+=n; lo < hi; lo/=2, hi/=2) {
if (lo % 2) ra = f(ra, s[lo++]);
if (hi % 2) rb = f(s[--hi], rb);
}
return f(ra, rb);
}
};
long long min_total_length(std::vector<int> r, std::vector<int> b) {
vector<pair<ll, ll>> pts;
for (int x : r)
pts.emplace_back(x, 1);
for (int x : b)
pts.emplace_back(x, 0);
sort(all(pts));
vector<ll> nextDiffColorUp(pts.size());
nextDiffColorUp.back() = -1;
for (ll i = (ll)pts.size() - 2; i >= 0; i--) {
if (pts[i].second != pts[i + 1].second) {
nextDiffColorUp[i] = i + 1;
} else {
nextDiffColorUp[i] = nextDiffColorUp[i + 1];
}
}
vector<ll> nextDiffColorDown(pts.size());
nextDiffColorDown[0] = -1;
for (ll i = 1; i < (ll)pts.size(); i++) {
if (pts[i].second != pts[i - 1].second) {
nextDiffColorDown[i] = i - 1;
} else {
nextDiffColorDown[i] = nextDiffColorDown[i - 1];
}
}
vector<ll> sumDown(pts.size(), 0);
for (ll i = 1; i < (ll)pts.size(); i++) {
if (pts[i].second != pts[i - 1].second) {
sumDown[i] = 0;
} else if (nextDiffColorDown[i] == -1) {
sumDown[i] = 1E9;
} else {
ll dest = nextDiffColorDown[i] + 1;
sumDown[i] = sumDown[i - 1] + (pts[i].first - pts[dest].first);
}
}
vector<ll> sumUp(pts.size(), 0);
for (ll i = (ll)pts.size() - 2; i >= 0; i--) {
if (pts[i].second != pts[i + 1].second) {
sumUp[i] = pts[i + 1].first - pts[i].first;
} else if (nextDiffColorUp[i] == -1) {
sumUp[i] = 1E9;
} else {
ll dest = nextDiffColorUp[i];
sumUp[i] = sumUp[i + 1] + (pts[dest].first - pts[i].first);
}
}
SegTree st(pts.size() + 1); // st[j] = dp[j] + sumDown[j - 1]
st.set(pts.size(), 0 + sumDown[pts.size() - 1]);
vector<ll> dp(pts.size() + 1, 0);
for (ll i = (ll)pts.size() - 1; i >= 0; i--) {
ll ans = LLONG_MAX;
if (nextDiffColorDown[i] != -1) {
ans = dp[i + 1] + (pts[i].first - pts[nextDiffColorDown[i]].first);
}
if (nextDiffColorUp[i] != -1) {
ll nextSegmentEndPlus1 = nextDiffColorUp[nextDiffColorUp[i]];
if (nextSegmentEndPlus1 == -1)
nextSegmentEndPlus1 = pts.size();
ll lenNextSegment = nextSegmentEndPlus1 - nextDiffColorUp[i];
ll maxL = min(
nextDiffColorUp[i] - i, // how many remaining in this segment
lenNextSegment
);
//for (ll L = 1; L <= maxL; L++) {
// ans = min(ans, dp[nextDiffColorUp[i] + L] + sumUp[i] + sumDown[nextDiffColorUp[i] + L - 1]);
//}
ll rangeAns = st.query(nextDiffColorUp[i] + 1, nextDiffColorUp[i] + maxL + 1);
//for (ll j = nextDiffColorUp[i] + 1; j <= nextDiffColorUp[i] + maxL; j++) {
// rangeAns = min(rangeAns, dp[j] + sumDown[j - 1]);
//}
if (rangeAns != LLONG_MAX)
ans = min(rangeAns + sumUp[i], ans);
}
dp[i] = ans;
if (i != 0)
st.set(i, dp[i] + sumDown[i - 1]);
}
return dp[0];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
35 ms |
12024 KB |
Output is correct |
4 |
Correct |
36 ms |
13628 KB |
Output is correct |
5 |
Correct |
35 ms |
13368 KB |
Output is correct |
6 |
Correct |
47 ms |
17884 KB |
Output is correct |
7 |
Correct |
52 ms |
17896 KB |
Output is correct |
8 |
Correct |
47 ms |
17848 KB |
Output is correct |
9 |
Correct |
47 ms |
17816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
56 ms |
15908 KB |
Output is correct |
4 |
Correct |
52 ms |
15892 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
53 ms |
15908 KB |
Output is correct |
19 |
Correct |
52 ms |
15904 KB |
Output is correct |
20 |
Correct |
56 ms |
16052 KB |
Output is correct |
21 |
Correct |
52 ms |
15800 KB |
Output is correct |
22 |
Correct |
55 ms |
15912 KB |
Output is correct |
23 |
Correct |
53 ms |
15892 KB |
Output is correct |
24 |
Correct |
53 ms |
15888 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
55 ms |
15892 KB |
Output is correct |
3 |
Correct |
51 ms |
15892 KB |
Output is correct |
4 |
Correct |
58 ms |
15880 KB |
Output is correct |
5 |
Correct |
50 ms |
15892 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
57 ms |
15892 KB |
Output is correct |
19 |
Correct |
58 ms |
17160 KB |
Output is correct |
20 |
Correct |
56 ms |
17208 KB |
Output is correct |
21 |
Correct |
57 ms |
17176 KB |
Output is correct |
22 |
Correct |
57 ms |
17112 KB |
Output is correct |
23 |
Correct |
48 ms |
17184 KB |
Output is correct |
24 |
Correct |
52 ms |
17208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
35 ms |
12024 KB |
Output is correct |
20 |
Correct |
36 ms |
13628 KB |
Output is correct |
21 |
Correct |
35 ms |
13368 KB |
Output is correct |
22 |
Correct |
47 ms |
17884 KB |
Output is correct |
23 |
Correct |
52 ms |
17896 KB |
Output is correct |
24 |
Correct |
47 ms |
17848 KB |
Output is correct |
25 |
Correct |
47 ms |
17816 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
56 ms |
15908 KB |
Output is correct |
29 |
Correct |
52 ms |
15892 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
53 ms |
15908 KB |
Output is correct |
44 |
Correct |
52 ms |
15904 KB |
Output is correct |
45 |
Correct |
56 ms |
16052 KB |
Output is correct |
46 |
Correct |
52 ms |
15800 KB |
Output is correct |
47 |
Correct |
55 ms |
15912 KB |
Output is correct |
48 |
Correct |
53 ms |
15892 KB |
Output is correct |
49 |
Correct |
53 ms |
15888 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
55 ms |
15892 KB |
Output is correct |
52 |
Correct |
51 ms |
15892 KB |
Output is correct |
53 |
Correct |
58 ms |
15880 KB |
Output is correct |
54 |
Correct |
50 ms |
15892 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
212 KB |
Output is correct |
61 |
Correct |
0 ms |
212 KB |
Output is correct |
62 |
Correct |
0 ms |
212 KB |
Output is correct |
63 |
Correct |
0 ms |
212 KB |
Output is correct |
64 |
Correct |
0 ms |
212 KB |
Output is correct |
65 |
Correct |
0 ms |
212 KB |
Output is correct |
66 |
Correct |
1 ms |
212 KB |
Output is correct |
67 |
Correct |
57 ms |
15892 KB |
Output is correct |
68 |
Correct |
58 ms |
17160 KB |
Output is correct |
69 |
Correct |
56 ms |
17208 KB |
Output is correct |
70 |
Correct |
57 ms |
17176 KB |
Output is correct |
71 |
Correct |
57 ms |
17112 KB |
Output is correct |
72 |
Correct |
48 ms |
17184 KB |
Output is correct |
73 |
Correct |
52 ms |
17208 KB |
Output is correct |
74 |
Correct |
52 ms |
17820 KB |
Output is correct |
75 |
Correct |
56 ms |
17432 KB |
Output is correct |
76 |
Correct |
57 ms |
17844 KB |
Output is correct |
77 |
Correct |
60 ms |
17376 KB |
Output is correct |
78 |
Correct |
57 ms |
17244 KB |
Output is correct |
79 |
Correct |
54 ms |
17300 KB |
Output is correct |
80 |
Correct |
52 ms |
17208 KB |
Output is correct |
81 |
Correct |
51 ms |
17304 KB |
Output is correct |
82 |
Correct |
48 ms |
17308 KB |
Output is correct |
83 |
Correct |
49 ms |
17504 KB |
Output is correct |
84 |
Correct |
52 ms |
17908 KB |
Output is correct |
85 |
Correct |
57 ms |
17844 KB |
Output is correct |
86 |
Correct |
61 ms |
17952 KB |
Output is correct |
87 |
Correct |
55 ms |
17848 KB |
Output is correct |
88 |
Correct |
63 ms |
17860 KB |
Output is correct |
89 |
Correct |
54 ms |
17804 KB |
Output is correct |
90 |
Correct |
68 ms |
17884 KB |
Output is correct |
91 |
Correct |
55 ms |
17824 KB |
Output is correct |
92 |
Correct |
64 ms |
17900 KB |
Output is correct |
93 |
Correct |
55 ms |
17828 KB |
Output is correct |
94 |
Correct |
56 ms |
17808 KB |
Output is correct |
95 |
Correct |
61 ms |
17820 KB |
Output is correct |
96 |
Correct |
57 ms |
17780 KB |
Output is correct |
97 |
Correct |
53 ms |
17824 KB |
Output is correct |
98 |
Correct |
54 ms |
17868 KB |
Output is correct |
99 |
Correct |
54 ms |
17848 KB |
Output is correct |
100 |
Correct |
63 ms |
17816 KB |
Output is correct |
101 |
Correct |
56 ms |
17904 KB |
Output is correct |
102 |
Correct |
60 ms |
17936 KB |
Output is correct |