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Submission #250074

# Submission time Handle Problem Language Result Execution time Memory
250074 2020-07-16T19:55:08 Z DavidDamian Arranging Shoes (IOI19_shoes) C++14
100 / 100
 425 ms 149752 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
///Binary Indexed Tree
///Determine the minimum number of swaps to obtain a valid sequence
///Remap the elements and find the number of invertions
///The same problem than trying to sort an array with numbers from 1 to N
ll bit[400005];
ll query(int i)
{
    ll sum=0;
    while(i>0){
        sum+=bit[i];
        i-=i&(-i);
    }
    return sum;
}
ll getSum(int a,int b)
{
    return query(b)-query(a-1);
}
void update(int n,int i,ll v)
{
    while(i<=n){
        bit[i]+=v;
        i+=i&(-i);
    }
}
map<int,queue<int> > pairing;
int link[400005];
ll count_swaps(vector<int> s) {
	int n=s.size();
	for(int i=0;i<n;i++){ //Pair each element with its closest opposite
        if(pairing[ -s[i] ].empty()){
            pairing[ s[i] ].push(i);
        }
        else{
            int id=pairing[ -s[i] ].front(); pairing[ -s[i] ].pop();
            link[id]=i;
            link[i]=id;
        }
	}
	int c=0;
	for(int i=0;i<n;i++){ //Remap the data
        if(link[i]<i) continue;
        if(s[i]<0) s[i]=++c, s[ link[i] ]=++c;
        else s[ link[i] ]=++c, s[i]=++c;
	}
	ll total=0;
	for(int i=0;i<n;i++){ //Find inversions
        total+=getSum(s[i]+1,n+1);
        update(n+1,s[i],1);
	}
	return total;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 0 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 0 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 0 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 0 ms 384 KB Output is correct
34 Correct 0 ms 384 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 42 ms 5368 KB Output is correct
23 Correct 41 ms 5368 KB Output is correct
24 Correct 41 ms 5368 KB Output is correct
25 Correct 36 ms 5752 KB Output is correct
26 Correct 42 ms 5368 KB Output is correct
27 Correct 39 ms 5344 KB Output is correct
28 Correct 43 ms 5880 KB Output is correct
29 Correct 38 ms 5752 KB Output is correct
30 Correct 38 ms 5752 KB Output is correct
31 Correct 42 ms 5368 KB Output is correct
32 Correct 38 ms 5752 KB Output is correct
33 Correct 37 ms 5752 KB Output is correct
34 Correct 39 ms 5752 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 37 ms 5764 KB Output is correct
38 Correct 40 ms 5880 KB Output is correct
39 Correct 37 ms 5752 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 401 ms 149376 KB Output is correct
6 Correct 137 ms 18044 KB Output is correct
7 Correct 411 ms 149368 KB Output is correct
8 Correct 43 ms 5880 KB Output is correct
9 Correct 425 ms 149496 KB Output is correct
10 Correct 314 ms 77560 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 0 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 0 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 0 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 0 ms 384 KB Output is correct
34 Correct 0 ms 384 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 0 ms 384 KB Output is correct
38 Correct 0 ms 384 KB Output is correct
39 Correct 1 ms 512 KB Output is correct
40 Correct 1 ms 640 KB Output is correct
41 Correct 2 ms 1792 KB Output is correct
42 Correct 2 ms 1792 KB Output is correct
43 Correct 2 ms 1664 KB Output is correct
44 Correct 2 ms 1408 KB Output is correct
45 Correct 2 ms 1280 KB Output is correct
46 Correct 2 ms 1152 KB Output is correct
47 Correct 2 ms 1024 KB Output is correct
48 Correct 1 ms 896 KB Output is correct
49 Correct 2 ms 640 KB Output is correct
50 Correct 1 ms 384 KB Output is correct
51 Correct 1 ms 384 KB Output is correct
52 Correct 2 ms 1792 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 0 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 0 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 0 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 0 ms 384 KB Output is correct
34 Correct 0 ms 384 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 0 ms 384 KB Output is correct
38 Correct 0 ms 384 KB Output is correct
39 Correct 0 ms 384 KB Output is correct
40 Correct 0 ms 384 KB Output is correct
41 Correct 0 ms 384 KB Output is correct
42 Correct 0 ms 384 KB Output is correct
43 Correct 0 ms 384 KB Output is correct
44 Correct 1 ms 384 KB Output is correct
45 Correct 1 ms 360 KB Output is correct
46 Correct 0 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 0 ms 384 KB Output is correct
49 Correct 0 ms 384 KB Output is correct
50 Correct 0 ms 384 KB Output is correct
51 Correct 1 ms 384 KB Output is correct
52 Correct 1 ms 384 KB Output is correct
53 Correct 1 ms 384 KB Output is correct
54 Correct 4 ms 768 KB Output is correct
55 Correct 4 ms 768 KB Output is correct
56 Correct 42 ms 5368 KB Output is correct
57 Correct 41 ms 5368 KB Output is correct
58 Correct 41 ms 5368 KB Output is correct
59 Correct 36 ms 5752 KB Output is correct
60 Correct 42 ms 5368 KB Output is correct
61 Correct 39 ms 5344 KB Output is correct
62 Correct 43 ms 5880 KB Output is correct
63 Correct 38 ms 5752 KB Output is correct
64 Correct 38 ms 5752 KB Output is correct
65 Correct 42 ms 5368 KB Output is correct
66 Correct 38 ms 5752 KB Output is correct
67 Correct 37 ms 5752 KB Output is correct
68 Correct 39 ms 5752 KB Output is correct
69 Correct 0 ms 384 KB Output is correct
70 Correct 1 ms 384 KB Output is correct
71 Correct 37 ms 5764 KB Output is correct
72 Correct 40 ms 5880 KB Output is correct
73 Correct 37 ms 5752 KB Output is correct
74 Correct 1 ms 384 KB Output is correct
75 Correct 0 ms 384 KB Output is correct
76 Correct 0 ms 384 KB Output is correct
77 Correct 1 ms 324 KB Output is correct
78 Correct 401 ms 149376 KB Output is correct
79 Correct 137 ms 18044 KB Output is correct
80 Correct 411 ms 149368 KB Output is correct
81 Correct 43 ms 5880 KB Output is correct
82 Correct 425 ms 149496 KB Output is correct
83 Correct 314 ms 77560 KB Output is correct
84 Correct 0 ms 384 KB Output is correct
85 Correct 0 ms 384 KB Output is correct
86 Correct 1 ms 512 KB Output is correct
87 Correct 1 ms 640 KB Output is correct
88 Correct 2 ms 1792 KB Output is correct
89 Correct 2 ms 1792 KB Output is correct
90 Correct 2 ms 1664 KB Output is correct
91 Correct 2 ms 1408 KB Output is correct
92 Correct 2 ms 1280 KB Output is correct
93 Correct 2 ms 1152 KB Output is correct
94 Correct 2 ms 1024 KB Output is correct
95 Correct 1 ms 896 KB Output is correct
96 Correct 2 ms 640 KB Output is correct
97 Correct 1 ms 384 KB Output is correct
98 Correct 1 ms 384 KB Output is correct
99 Correct 2 ms 1792 KB Output is correct
100 Correct 2 ms 1792 KB Output is correct
101 Correct 27 ms 13824 KB Output is correct
102 Correct 12 ms 3712 KB Output is correct
103 Correct 419 ms 149624 KB Output is correct
104 Correct 346 ms 149592 KB Output is correct
105 Correct 314 ms 87288 KB Output is correct
106 Correct 405 ms 149752 KB Output is correct
107 Correct 146 ms 21496 KB Output is correct
108 Correct 183 ms 37624 KB Output is correct
109 Correct 43 ms 5880 KB Output is correct
110 Correct 37 ms 5880 KB Output is correct
111 Correct 372 ms 133496 KB Output is correct
112 Correct 379 ms 117624 KB Output is correct
113 Correct 154 ms 23292 KB Output is correct
114 Correct 393 ms 149496 KB Output is correct
115 Correct 399 ms 149624 KB Output is correct