Submission #445262

# Submission time Handle Problem Language Result Execution time Memory
445262 2021-07-17T08:04:18 Z maomao90 Group Photo (JOI21_ho_t3) C++17
100 / 100
912 ms 596 KB
#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