#include <bits/stdc++.h>
using namespace std;
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
#define REP(i, s, e) for (int i = s; i < e; i++)
#define RREP(i, s, e) for (int i = s; i >= e; i--)
typedef long long ll;
typedef long double ld;
#define MP make_pair
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
#define MT make_tuple
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
#ifdef DEBUG
#define debug(args...) _debug(args)
void _debug(const char* format, ...) {
va_list args;
va_start(args, format);
vprintf(format, args);
va_end(args);
}
#else
#define debug(args...)
#endif
#define INF 1000000005
#define LINF 1000000000000000005
#define MOD 1000000007
#define MAXN 5005
int n;
int h[MAXN];
int mp[MAXN];
int dp[MAXN]; // minimum number of swaps with heights [1 ... i]
int fw1[MAXN], fw2[MAXN];
void incre(int i, int x, int* fw) {
for (; i <= n; i += i & -i) fw[i] += x;
}
int qsm(int i, int* fw) {
int res = 0;
for (; i > 0; i -= i & -i) res += fw[i];
return res;
}
int qsm(int s, int e, int* fw) {
return qsm(e, fw) - qsm(s - 1, fw);
}
int main() {
scanf("%d", &n);
REP (i, 1, n + 1) {
scanf("%d", &h[i]);
mp[h[i]] = i;
}
dp[1] = 0;
REP (i, 2, n + 1) {
dp[i] = INF;
memset(fw1, 0, sizeof fw1);
memset(fw2, 0, sizeof fw2);
REP (j, 1, i + 1) {
incre(mp[j], 1, fw1);
}
int cost = 0;
RREP (j, i, 1) {
cost -= qsm(1, mp[j] - 1, fw2) * 2;
cost += i - j;
cost += qsm(mp[j] + 1, n, fw1);
// consider placing i at position j, so before position j, minimum
// swaps is dp[j - 1] and after position j, the array is
// [i, i - 1, i - 2, ..., j]
mnto(dp[i], dp[j - 1] + cost);
incre(mp[j], -1, fw1);
incre(mp[j], 1, fw2);
}
}
printf("%d\n", dp[n]);
return 0;
}
/*
5
3 5 2 4 1
*/
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:61:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
61 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
Main.cpp:63:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
63 | scanf("%d", &h[i]);
| ~~~~~^~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
2 ms |
332 KB |
Output is correct |
27 |
Correct |
2 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
2 ms |
332 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
2 ms |
332 KB |
Output is correct |
27 |
Correct |
2 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
2 ms |
332 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
31 |
Correct |
19 ms |
332 KB |
Output is correct |
32 |
Correct |
19 ms |
344 KB |
Output is correct |
33 |
Correct |
19 ms |
352 KB |
Output is correct |
34 |
Correct |
18 ms |
300 KB |
Output is correct |
35 |
Correct |
18 ms |
332 KB |
Output is correct |
36 |
Correct |
18 ms |
348 KB |
Output is correct |
37 |
Correct |
18 ms |
332 KB |
Output is correct |
38 |
Correct |
19 ms |
356 KB |
Output is correct |
39 |
Correct |
17 ms |
352 KB |
Output is correct |
40 |
Correct |
18 ms |
352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
2 ms |
332 KB |
Output is correct |
27 |
Correct |
2 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
2 ms |
332 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
31 |
Correct |
19 ms |
332 KB |
Output is correct |
32 |
Correct |
19 ms |
344 KB |
Output is correct |
33 |
Correct |
19 ms |
352 KB |
Output is correct |
34 |
Correct |
18 ms |
300 KB |
Output is correct |
35 |
Correct |
18 ms |
332 KB |
Output is correct |
36 |
Correct |
18 ms |
348 KB |
Output is correct |
37 |
Correct |
18 ms |
332 KB |
Output is correct |
38 |
Correct |
19 ms |
356 KB |
Output is correct |
39 |
Correct |
17 ms |
352 KB |
Output is correct |
40 |
Correct |
18 ms |
352 KB |
Output is correct |
41 |
Correct |
904 ms |
512 KB |
Output is correct |
42 |
Correct |
900 ms |
400 KB |
Output is correct |
43 |
Correct |
905 ms |
596 KB |
Output is correct |
44 |
Correct |
907 ms |
584 KB |
Output is correct |
45 |
Correct |
912 ms |
516 KB |
Output is correct |
46 |
Correct |
903 ms |
396 KB |
Output is correct |
47 |
Correct |
886 ms |
516 KB |
Output is correct |
48 |
Correct |
885 ms |
516 KB |
Output is correct |
49 |
Correct |
877 ms |
392 KB |
Output is correct |
50 |
Correct |
890 ms |
384 KB |
Output is correct |
51 |
Correct |
890 ms |
524 KB |
Output is correct |
52 |
Correct |
891 ms |
456 KB |
Output is correct |
53 |
Correct |
893 ms |
452 KB |
Output is correct |
54 |
Correct |
877 ms |
456 KB |
Output is correct |
55 |
Correct |
887 ms |
332 KB |
Output is correct |