Submission #790571

# Submission time Handle Problem Language Result Execution time Memory
790571 2023-07-22T21:02:18 Z CSQ31 Diversity (CEOI21_diversity) C++17
64 / 100
7000 ms 3640 KB
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
//typedef long long int ll;
typedef long double ld;
typedef long long int ll;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
const int MAXN = 3e5+5,blk = 600;
int a[MAXN],cnt[MAXN],freq[MAXN];
struct que{
	int l,r,id;
	que(){}
	que(int _l,int _r,int _id):l(_l),r(_r),id(_id){}
	bool operator<(const que &q){
		if((l+blk-1)/blk &1)return make_pair((l+blk-1)/blk,r) < make_pair((q.l+blk-1)/blk,q.r);
		return make_pair((l+blk-1)/blk,-r) < make_pair((q.l+blk-1)/blk,-q.r);
	}
};
set<int>s;
void add(int x,int c){
	if(freq[cnt[x]] == 1)s.erase(cnt[x]);
	freq[cnt[x]]--;
	cnt[x]+=c;
	assert(cnt[x]>=0);
	freq[cnt[x]]++;
	if(freq[cnt[x]] == 1)s.insert(cnt[x]);
}
ll cal(ll n){
	vector<ll>v;
	ll T = 0;
	for(int x:s){
		v.pb(x);
		T+=freq[x];
	}
	int t = sz(v);
	vector<int>in(t,0);
	//ans = 1/2(T*n*n + n - sum of squares)
	//for(int x:v)cout<<x<<" ";cout<<'\n';
	//for(int x:v)cout<<freq[x]<<" ";cout<<'\n';
	ll res = 0,cur = 0;
	for(int i=1;i<t;i++){
		in[i] = in[i-1]+(freq[v[i]]&1);
		in[i]%=2;
	}
	//S = (cur+v)^2 + (cur+2v)^2 + ... + (cur+xv)^2
	//  = x*cur*cur - 2cur*v(1+2+...+x) + v^2(1^2+2^2+3^2...x2);
	
	//(n-cur-v)^2 + (n-cur-2v)^2 + ... + (n-cur-xv)^2;
	//= x*n*n - 2*n( x*cur + v+2v+3v..+xv) + S
	vector<ll>tmp;
	for(int i=0;i<t;i++){
		ll x = (freq[v[i]]+in[i])/2;
		
		ll y = x*(x+1)/2;
		ll z = (x*(x+1)*(2*x+1))/6;
		
		ll S = 0;
		S+=x*cur*cur;
		S+=2*cur*v[i]*y;
		S+=v[i]*v[i]*z;
		res-=x*n*n;
		res+=2*n*( x*cur + y*v[i]);
		res-=2*S;
		cur+=x*v[i];
		for(int j=0;j<x;j++)tmp.pb(v[i]);
	}
	for(int i=t-1;i>=0;i--){
		ll x = (freq[v[i]]+in[i])/2;
		x = freq[v[i]]-x;
		ll y = x*(x+1)/2;
		ll z = (x*(x+1)*(2*x+1))/6;
		
		ll S = 0;
		S+=x*cur*cur;
		S+=2*cur*v[i]*y;
		S+=v[i]*v[i]*z;
		assert(S>=0);
		res-=x*n*n;
		res+=2*n*( x*cur + y*v[i]);
		res-=2*S;
		cur+=x*v[i];
	}
	res+=T*n*n+n;
	res+=n*n;
	return res/2;
}
int main()
{
	owo
	int n,q;
	cin>>n>>q;
	for(int i=1;i<=n;i++)cin>>a[i];
	vector<que>qq(q);
	for(int i=0;i<q;i++){
		int l,r;
		cin>>l>>r;
		qq[i] = que(l,r,i);
	}
	sort(all(qq));
	vector<ll>ans(q);
	int L = 1,R = 0;
	for(int i=0;i<q;i++){
		int l = qq[i].l;
		int r = qq[i].r;
		while(L>l){
			L--;
			add(a[L],1);
		}
		while(R<r){
			R++;
			add(a[R],1);
		}
		while(L<l){
			add(a[L],-1);
			L++;
		}
		while(R>r){
			add(a[R],-1);
			R--;
		}
		ans[qq[i].id] = cal(r-l+1);	
	}
	for(int i=0;i<q;i++)cout<<ans[i]<<'\n';
	
	
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 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 340 KB Output is correct
7 Correct 1 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 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 724 KB Output is correct
5 Correct 19 ms 1364 KB Output is correct
6 Correct 31 ms 1620 KB Output is correct
7 Correct 29 ms 2132 KB Output is correct
8 Correct 31 ms 1608 KB Output is correct
9 Correct 34 ms 1784 KB Output is correct
10 Correct 31 ms 1768 KB Output is correct
11 Correct 38 ms 1740 KB Output is correct
12 Correct 33 ms 1684 KB Output is correct
13 Correct 31 ms 1668 KB Output is correct
14 Correct 31 ms 1780 KB Output is correct
15 Correct 31 ms 1752 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 724 KB Output is correct
5 Correct 19 ms 1364 KB Output is correct
6 Correct 31 ms 1620 KB Output is correct
7 Correct 29 ms 2132 KB Output is correct
8 Correct 31 ms 1608 KB Output is correct
9 Correct 34 ms 1784 KB Output is correct
10 Correct 31 ms 1768 KB Output is correct
11 Correct 38 ms 1740 KB Output is correct
12 Correct 33 ms 1684 KB Output is correct
13 Correct 31 ms 1668 KB Output is correct
14 Correct 31 ms 1780 KB Output is correct
15 Correct 31 ms 1752 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 724 KB Output is correct
20 Correct 24 ms 1236 KB Output is correct
21 Correct 38 ms 1724 KB Output is correct
22 Correct 40 ms 1584 KB Output is correct
23 Correct 37 ms 1640 KB Output is correct
24 Correct 36 ms 1580 KB Output is correct
25 Correct 37 ms 1600 KB Output is correct
26 Correct 36 ms 1636 KB Output is correct
27 Correct 36 ms 1648 KB Output is correct
28 Correct 42 ms 1792 KB Output is correct
29 Correct 36 ms 1612 KB Output is correct
30 Correct 36 ms 1620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 724 KB Output is correct
5 Correct 19 ms 1364 KB Output is correct
6 Correct 31 ms 1620 KB Output is correct
7 Correct 29 ms 2132 KB Output is correct
8 Correct 31 ms 1608 KB Output is correct
9 Correct 34 ms 1784 KB Output is correct
10 Correct 31 ms 1768 KB Output is correct
11 Correct 38 ms 1740 KB Output is correct
12 Correct 33 ms 1684 KB Output is correct
13 Correct 31 ms 1668 KB Output is correct
14 Correct 31 ms 1780 KB Output is correct
15 Correct 31 ms 1752 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 724 KB Output is correct
20 Correct 24 ms 1236 KB Output is correct
21 Correct 38 ms 1724 KB Output is correct
22 Correct 40 ms 1584 KB Output is correct
23 Correct 37 ms 1640 KB Output is correct
24 Correct 36 ms 1580 KB Output is correct
25 Correct 37 ms 1600 KB Output is correct
26 Correct 36 ms 1636 KB Output is correct
27 Correct 36 ms 1648 KB Output is correct
28 Correct 42 ms 1792 KB Output is correct
29 Correct 36 ms 1612 KB Output is correct
30 Correct 36 ms 1620 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 5 ms 544 KB Output is correct
38 Correct 3 ms 468 KB Output is correct
39 Correct 8 ms 736 KB Output is correct
40 Correct 18 ms 1136 KB Output is correct
41 Correct 30 ms 1536 KB Output is correct
42 Correct 29 ms 1544 KB Output is correct
43 Correct 34 ms 1568 KB Output is correct
44 Correct 30 ms 1444 KB Output is correct
45 Correct 29 ms 1544 KB Output is correct
46 Correct 29 ms 1492 KB Output is correct
47 Correct 29 ms 1516 KB Output is correct
48 Correct 32 ms 1536 KB Output is correct
49 Correct 35 ms 1512 KB Output is correct
50 Correct 30 ms 1524 KB Output is correct
51 Correct 29 ms 1492 KB Output is correct
52 Correct 29 ms 1536 KB Output is correct
53 Correct 30 ms 1480 KB Output is correct
54 Correct 30 ms 1540 KB Output is correct
55 Correct 29 ms 1536 KB Output is correct
56 Correct 29 ms 1452 KB Output is correct
57 Correct 29 ms 1524 KB Output is correct
58 Correct 35 ms 1492 KB Output is correct
59 Correct 30 ms 1492 KB Output is correct
60 Correct 33 ms 1492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 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 340 KB Output is correct
7 Correct 1 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 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 10 ms 724 KB Output is correct
15 Correct 19 ms 1364 KB Output is correct
16 Correct 31 ms 1620 KB Output is correct
17 Correct 29 ms 2132 KB Output is correct
18 Correct 31 ms 1608 KB Output is correct
19 Correct 34 ms 1784 KB Output is correct
20 Correct 31 ms 1768 KB Output is correct
21 Correct 38 ms 1740 KB Output is correct
22 Correct 33 ms 1684 KB Output is correct
23 Correct 31 ms 1668 KB Output is correct
24 Correct 31 ms 1780 KB Output is correct
25 Correct 31 ms 1752 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 724 KB Output is correct
30 Correct 24 ms 1236 KB Output is correct
31 Correct 38 ms 1724 KB Output is correct
32 Correct 40 ms 1584 KB Output is correct
33 Correct 37 ms 1640 KB Output is correct
34 Correct 36 ms 1580 KB Output is correct
35 Correct 37 ms 1600 KB Output is correct
36 Correct 36 ms 1636 KB Output is correct
37 Correct 36 ms 1648 KB Output is correct
38 Correct 42 ms 1792 KB Output is correct
39 Correct 36 ms 1612 KB Output is correct
40 Correct 36 ms 1620 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 5 ms 544 KB Output is correct
48 Correct 3 ms 468 KB Output is correct
49 Correct 8 ms 736 KB Output is correct
50 Correct 18 ms 1136 KB Output is correct
51 Correct 30 ms 1536 KB Output is correct
52 Correct 29 ms 1544 KB Output is correct
53 Correct 34 ms 1568 KB Output is correct
54 Correct 30 ms 1444 KB Output is correct
55 Correct 29 ms 1544 KB Output is correct
56 Correct 29 ms 1492 KB Output is correct
57 Correct 29 ms 1516 KB Output is correct
58 Correct 32 ms 1536 KB Output is correct
59 Correct 35 ms 1512 KB Output is correct
60 Correct 30 ms 1524 KB Output is correct
61 Correct 29 ms 1492 KB Output is correct
62 Correct 29 ms 1536 KB Output is correct
63 Correct 30 ms 1480 KB Output is correct
64 Correct 30 ms 1540 KB Output is correct
65 Correct 29 ms 1536 KB Output is correct
66 Correct 29 ms 1452 KB Output is correct
67 Correct 29 ms 1524 KB Output is correct
68 Correct 35 ms 1492 KB Output is correct
69 Correct 30 ms 1492 KB Output is correct
70 Correct 33 ms 1492 KB Output is correct
71 Correct 4 ms 516 KB Output is correct
72 Correct 4 ms 468 KB Output is correct
73 Correct 3 ms 468 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 468 KB Output is correct
76 Correct 9 ms 724 KB Output is correct
77 Correct 6 ms 724 KB Output is correct
78 Correct 7 ms 724 KB Output is correct
79 Correct 6 ms 724 KB Output is correct
80 Correct 6 ms 724 KB Output is correct
81 Correct 12 ms 1160 KB Output is correct
82 Correct 12 ms 1160 KB Output is correct
83 Correct 12 ms 1236 KB Output is correct
84 Correct 12 ms 1164 KB Output is correct
85 Correct 12 ms 1180 KB Output is correct
86 Correct 13 ms 1364 KB Output is correct
87 Correct 13 ms 1392 KB Output is correct
88 Correct 13 ms 1364 KB Output is correct
89 Correct 17 ms 1320 KB Output is correct
90 Correct 16 ms 1396 KB Output is correct
91 Correct 19 ms 2516 KB Output is correct
92 Correct 23 ms 2576 KB Output is correct
93 Correct 19 ms 2516 KB Output is correct
94 Correct 19 ms 2520 KB Output is correct
95 Correct 19 ms 2536 KB Output is correct
96 Correct 22 ms 3420 KB Output is correct
97 Correct 22 ms 3412 KB Output is correct
98 Correct 23 ms 3340 KB Output is correct
99 Correct 22 ms 3412 KB Output is correct
100 Correct 22 ms 3440 KB Output is correct
101 Correct 21 ms 3412 KB Output is correct
102 Correct 24 ms 3440 KB Output is correct
103 Correct 22 ms 3344 KB Output is correct
104 Correct 23 ms 3396 KB Output is correct
105 Correct 22 ms 3392 KB Output is correct
106 Correct 22 ms 3568 KB Output is correct
107 Correct 22 ms 3640 KB Output is correct
108 Correct 22 ms 3608 KB Output is correct
109 Correct 22 ms 3620 KB Output is correct
110 Correct 22 ms 3636 KB Output is correct
111 Correct 23 ms 3572 KB Output is correct
112 Correct 22 ms 3620 KB Output is correct
113 Correct 22 ms 3536 KB Output is correct
114 Correct 22 ms 3640 KB Output is correct
115 Correct 22 ms 3588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 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 340 KB Output is correct
7 Correct 1 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 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 10 ms 724 KB Output is correct
15 Correct 19 ms 1364 KB Output is correct
16 Correct 31 ms 1620 KB Output is correct
17 Correct 29 ms 2132 KB Output is correct
18 Correct 31 ms 1608 KB Output is correct
19 Correct 34 ms 1784 KB Output is correct
20 Correct 31 ms 1768 KB Output is correct
21 Correct 38 ms 1740 KB Output is correct
22 Correct 33 ms 1684 KB Output is correct
23 Correct 31 ms 1668 KB Output is correct
24 Correct 31 ms 1780 KB Output is correct
25 Correct 31 ms 1752 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 724 KB Output is correct
30 Correct 24 ms 1236 KB Output is correct
31 Correct 38 ms 1724 KB Output is correct
32 Correct 40 ms 1584 KB Output is correct
33 Correct 37 ms 1640 KB Output is correct
34 Correct 36 ms 1580 KB Output is correct
35 Correct 37 ms 1600 KB Output is correct
36 Correct 36 ms 1636 KB Output is correct
37 Correct 36 ms 1648 KB Output is correct
38 Correct 42 ms 1792 KB Output is correct
39 Correct 36 ms 1612 KB Output is correct
40 Correct 36 ms 1620 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 5 ms 544 KB Output is correct
48 Correct 3 ms 468 KB Output is correct
49 Correct 8 ms 736 KB Output is correct
50 Correct 18 ms 1136 KB Output is correct
51 Correct 30 ms 1536 KB Output is correct
52 Correct 29 ms 1544 KB Output is correct
53 Correct 34 ms 1568 KB Output is correct
54 Correct 30 ms 1444 KB Output is correct
55 Correct 29 ms 1544 KB Output is correct
56 Correct 29 ms 1492 KB Output is correct
57 Correct 29 ms 1516 KB Output is correct
58 Correct 32 ms 1536 KB Output is correct
59 Correct 35 ms 1512 KB Output is correct
60 Correct 30 ms 1524 KB Output is correct
61 Correct 29 ms 1492 KB Output is correct
62 Correct 29 ms 1536 KB Output is correct
63 Correct 30 ms 1480 KB Output is correct
64 Correct 30 ms 1540 KB Output is correct
65 Correct 29 ms 1536 KB Output is correct
66 Correct 29 ms 1452 KB Output is correct
67 Correct 29 ms 1524 KB Output is correct
68 Correct 35 ms 1492 KB Output is correct
69 Correct 30 ms 1492 KB Output is correct
70 Correct 33 ms 1492 KB Output is correct
71 Correct 4 ms 516 KB Output is correct
72 Correct 4 ms 468 KB Output is correct
73 Correct 3 ms 468 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 468 KB Output is correct
76 Correct 9 ms 724 KB Output is correct
77 Correct 6 ms 724 KB Output is correct
78 Correct 7 ms 724 KB Output is correct
79 Correct 6 ms 724 KB Output is correct
80 Correct 6 ms 724 KB Output is correct
81 Correct 12 ms 1160 KB Output is correct
82 Correct 12 ms 1160 KB Output is correct
83 Correct 12 ms 1236 KB Output is correct
84 Correct 12 ms 1164 KB Output is correct
85 Correct 12 ms 1180 KB Output is correct
86 Correct 13 ms 1364 KB Output is correct
87 Correct 13 ms 1392 KB Output is correct
88 Correct 13 ms 1364 KB Output is correct
89 Correct 17 ms 1320 KB Output is correct
90 Correct 16 ms 1396 KB Output is correct
91 Correct 19 ms 2516 KB Output is correct
92 Correct 23 ms 2576 KB Output is correct
93 Correct 19 ms 2516 KB Output is correct
94 Correct 19 ms 2520 KB Output is correct
95 Correct 19 ms 2536 KB Output is correct
96 Correct 22 ms 3420 KB Output is correct
97 Correct 22 ms 3412 KB Output is correct
98 Correct 23 ms 3340 KB Output is correct
99 Correct 22 ms 3412 KB Output is correct
100 Correct 22 ms 3440 KB Output is correct
101 Correct 21 ms 3412 KB Output is correct
102 Correct 24 ms 3440 KB Output is correct
103 Correct 22 ms 3344 KB Output is correct
104 Correct 23 ms 3396 KB Output is correct
105 Correct 22 ms 3392 KB Output is correct
106 Correct 22 ms 3568 KB Output is correct
107 Correct 22 ms 3640 KB Output is correct
108 Correct 22 ms 3608 KB Output is correct
109 Correct 22 ms 3620 KB Output is correct
110 Correct 22 ms 3636 KB Output is correct
111 Correct 23 ms 3572 KB Output is correct
112 Correct 22 ms 3620 KB Output is correct
113 Correct 22 ms 3536 KB Output is correct
114 Correct 22 ms 3640 KB Output is correct
115 Correct 22 ms 3588 KB Output is correct
116 Correct 796 ms 1744 KB Output is correct
117 Correct 597 ms 1752 KB Output is correct
118 Correct 1154 ms 2040 KB Output is correct
119 Correct 500 ms 2068 KB Output is correct
120 Correct 319 ms 2056 KB Output is correct
121 Correct 621 ms 2284 KB Output is correct
122 Correct 440 ms 2300 KB Output is correct
123 Correct 1740 ms 2696 KB Output is correct
124 Correct 694 ms 2848 KB Output is correct
125 Correct 775 ms 2904 KB Output is correct
126 Execution timed out 7064 ms 2560 KB Time limit exceeded
127 Halted 0 ms 0 KB -