oj.uz

답안 #790567

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
790567 2023-07-22T20:57:44 Z CSQ31 Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 4676 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 = 450;
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];
		* */
		for(int j=0;j<x;j++)tmp.pb(v[i]);
	}
	for(ll x:tmp){
		cur+=x;
		res-=cur*cur;
		res-=(n-cur)*(n-cur);
	}
	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';
	
	
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 0 ms 328 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 10 ms 944 KB Output is correct
5 Correct 21 ms 1748 KB Output is correct
6 Correct 40 ms 1980 KB Output is correct
7 Correct 28 ms 2012 KB Output is correct
8 Correct 32 ms 1620 KB Output is correct
9 Correct 32 ms 1624 KB Output is correct
10 Correct 31 ms 1852 KB Output is correct
11 Correct 32 ms 1736 KB Output is correct
12 Correct 32 ms 1668 KB Output is correct
13 Correct 41 ms 1620 KB Output is correct
14 Correct 40 ms 1748 KB Output is correct
15 Correct 31 ms 1728 KB Output is correct

Subtask #3
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 10 ms 944 KB Output is correct
5 Correct 21 ms 1748 KB Output is correct
6 Correct 40 ms 1980 KB Output is correct
7 Correct 28 ms 2012 KB Output is correct
8 Correct 32 ms 1620 KB Output is correct
9 Correct 32 ms 1624 KB Output is correct
10 Correct 31 ms 1852 KB Output is correct
11 Correct 32 ms 1736 KB Output is correct
12 Correct 32 ms 1668 KB Output is correct
13 Correct 41 ms 1620 KB Output is correct
14 Correct 40 ms 1748 KB Output is correct
15 Correct 31 ms 1728 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 792 KB Output is correct
20 Correct 26 ms 1168 KB Output is correct
21 Correct 37 ms 1624 KB Output is correct
22 Correct 36 ms 1624 KB Output is correct
23 Correct 37 ms 1636 KB Output is correct
24 Correct 36 ms 1596 KB Output is correct
25 Correct 36 ms 1548 KB Output is correct
26 Correct 37 ms 1640 KB Output is correct
27 Correct 37 ms 1640 KB Output is correct
28 Correct 36 ms 1784 KB Output is correct
29 Correct 36 ms 1616 KB Output is correct
30 Correct 38 ms 1640 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 10 ms 944 KB Output is correct
5 Correct 21 ms 1748 KB Output is correct
6 Correct 40 ms 1980 KB Output is correct
7 Correct 28 ms 2012 KB Output is correct
8 Correct 32 ms 1620 KB Output is correct
9 Correct 32 ms 1624 KB Output is correct
10 Correct 31 ms 1852 KB Output is correct
11 Correct 32 ms 1736 KB Output is correct
12 Correct 32 ms 1668 KB Output is correct
13 Correct 41 ms 1620 KB Output is correct
14 Correct 40 ms 1748 KB Output is correct
15 Correct 31 ms 1728 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 792 KB Output is correct
20 Correct 26 ms 1168 KB Output is correct
21 Correct 37 ms 1624 KB Output is correct
22 Correct 36 ms 1624 KB Output is correct
23 Correct 37 ms 1636 KB Output is correct
24 Correct 36 ms 1596 KB Output is correct
25 Correct 36 ms 1548 KB Output is correct
26 Correct 37 ms 1640 KB Output is correct
27 Correct 37 ms 1640 KB Output is correct
28 Correct 36 ms 1784 KB Output is correct
29 Correct 36 ms 1616 KB Output is correct
30 Correct 38 ms 1640 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 1 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 468 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 10 ms 724 KB Output is correct
40 Correct 18 ms 1136 KB Output is correct
41 Correct 29 ms 1508 KB Output is correct
42 Correct 31 ms 1516 KB Output is correct
43 Correct 38 ms 1440 KB Output is correct
44 Correct 35 ms 1492 KB Output is correct
45 Correct 30 ms 1520 KB Output is correct
46 Correct 29 ms 1520 KB Output is correct
47 Correct 29 ms 1532 KB Output is correct
48 Correct 33 ms 1484 KB Output is correct
49 Correct 29 ms 1492 KB Output is correct
50 Correct 30 ms 1516 KB Output is correct
51 Correct 29 ms 1532 KB Output is correct
52 Correct 29 ms 1496 KB Output is correct
53 Correct 30 ms 1492 KB Output is correct
54 Correct 30 ms 1492 KB Output is correct
55 Correct 29 ms 1528 KB Output is correct
56 Correct 31 ms 1492 KB Output is correct
57 Correct 29 ms 1536 KB Output is correct
58 Correct 39 ms 1492 KB Output is correct
59 Correct 30 ms 1492 KB Output is correct
60 Correct 29 ms 1524 KB Output is correct

Subtask #5
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 0 ms 328 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 10 ms 944 KB Output is correct
15 Correct 21 ms 1748 KB Output is correct
16 Correct 40 ms 1980 KB Output is correct
17 Correct 28 ms 2012 KB Output is correct
18 Correct 32 ms 1620 KB Output is correct
19 Correct 32 ms 1624 KB Output is correct
20 Correct 31 ms 1852 KB Output is correct
21 Correct 32 ms 1736 KB Output is correct
22 Correct 32 ms 1668 KB Output is correct
23 Correct 41 ms 1620 KB Output is correct
24 Correct 40 ms 1748 KB Output is correct
25 Correct 31 ms 1728 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 792 KB Output is correct
30 Correct 26 ms 1168 KB Output is correct
31 Correct 37 ms 1624 KB Output is correct
32 Correct 36 ms 1624 KB Output is correct
33 Correct 37 ms 1636 KB Output is correct
34 Correct 36 ms 1596 KB Output is correct
35 Correct 36 ms 1548 KB Output is correct
36 Correct 37 ms 1640 KB Output is correct
37 Correct 37 ms 1640 KB Output is correct
38 Correct 36 ms 1784 KB Output is correct
39 Correct 36 ms 1616 KB Output is correct
40 Correct 38 ms 1640 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 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 468 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 10 ms 724 KB Output is correct
50 Correct 18 ms 1136 KB Output is correct
51 Correct 29 ms 1508 KB Output is correct
52 Correct 31 ms 1516 KB Output is correct
53 Correct 38 ms 1440 KB Output is correct
54 Correct 35 ms 1492 KB Output is correct
55 Correct 30 ms 1520 KB Output is correct
56 Correct 29 ms 1520 KB Output is correct
57 Correct 29 ms 1532 KB Output is correct
58 Correct 33 ms 1484 KB Output is correct
59 Correct 29 ms 1492 KB Output is correct
60 Correct 30 ms 1516 KB Output is correct
61 Correct 29 ms 1532 KB Output is correct
62 Correct 29 ms 1496 KB Output is correct
63 Correct 30 ms 1492 KB Output is correct
64 Correct 30 ms 1492 KB Output is correct
65 Correct 29 ms 1528 KB Output is correct
66 Correct 31 ms 1492 KB Output is correct
67 Correct 29 ms 1536 KB Output is correct
68 Correct 39 ms 1492 KB Output is correct
69 Correct 30 ms 1492 KB Output is correct
70 Correct 29 ms 1524 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 4 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 6 ms 852 KB Output is correct
77 Correct 6 ms 852 KB Output is correct
78 Correct 6 ms 852 KB Output is correct
79 Correct 6 ms 852 KB Output is correct
80 Correct 6 ms 764 KB Output is correct
81 Correct 12 ms 1256 KB Output is correct
82 Correct 12 ms 1364 KB Output is correct
83 Correct 12 ms 1364 KB Output is correct
84 Correct 11 ms 1340 KB Output is correct
85 Correct 12 ms 1284 KB Output is correct
86 Correct 13 ms 1584 KB Output is correct
87 Correct 13 ms 1476 KB Output is correct
88 Correct 13 ms 1496 KB Output is correct
89 Correct 13 ms 1496 KB Output is correct
90 Correct 13 ms 1496 KB Output is correct
91 Correct 21 ms 3040 KB Output is correct
92 Correct 20 ms 3052 KB Output is correct
93 Correct 19 ms 3060 KB Output is correct
94 Correct 19 ms 3028 KB Output is correct
95 Correct 19 ms 3040 KB Output is correct
96 Correct 23 ms 4432 KB Output is correct
97 Correct 23 ms 4380 KB Output is correct
98 Correct 29 ms 4432 KB Output is correct
99 Correct 22 ms 4368 KB Output is correct
100 Correct 23 ms 4376 KB Output is correct
101 Correct 23 ms 4432 KB Output is correct
102 Correct 23 ms 4456 KB Output is correct
103 Correct 22 ms 4404 KB Output is correct
104 Correct 26 ms 4432 KB Output is correct
105 Correct 23 ms 4412 KB Output is correct
106 Correct 23 ms 4672 KB Output is correct
107 Correct 28 ms 4552 KB Output is correct
108 Correct 23 ms 4624 KB Output is correct
109 Correct 23 ms 4628 KB Output is correct
110 Correct 23 ms 4600 KB Output is correct
111 Correct 23 ms 4568 KB Output is correct
112 Correct 22 ms 4676 KB Output is correct
113 Correct 23 ms 4608 KB Output is correct
114 Correct 23 ms 4632 KB Output is correct
115 Correct 22 ms 4560 KB Output is correct

Subtask #6
0 / 36.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 0 ms 328 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 10 ms 944 KB Output is correct
15 Correct 21 ms 1748 KB Output is correct
16 Correct 40 ms 1980 KB Output is correct
17 Correct 28 ms 2012 KB Output is correct
18 Correct 32 ms 1620 KB Output is correct
19 Correct 32 ms 1624 KB Output is correct
20 Correct 31 ms 1852 KB Output is correct
21 Correct 32 ms 1736 KB Output is correct
22 Correct 32 ms 1668 KB Output is correct
23 Correct 41 ms 1620 KB Output is correct
24 Correct 40 ms 1748 KB Output is correct
25 Correct 31 ms 1728 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 792 KB Output is correct
30 Correct 26 ms 1168 KB Output is correct
31 Correct 37 ms 1624 KB Output is correct
32 Correct 36 ms 1624 KB Output is correct
33 Correct 37 ms 1636 KB Output is correct
34 Correct 36 ms 1596 KB Output is correct
35 Correct 36 ms 1548 KB Output is correct
36 Correct 37 ms 1640 KB Output is correct
37 Correct 37 ms 1640 KB Output is correct
38 Correct 36 ms 1784 KB Output is correct
39 Correct 36 ms 1616 KB Output is correct
40 Correct 38 ms 1640 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 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 468 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 10 ms 724 KB Output is correct
50 Correct 18 ms 1136 KB Output is correct
51 Correct 29 ms 1508 KB Output is correct
52 Correct 31 ms 1516 KB Output is correct
53 Correct 38 ms 1440 KB Output is correct
54 Correct 35 ms 1492 KB Output is correct
55 Correct 30 ms 1520 KB Output is correct
56 Correct 29 ms 1520 KB Output is correct
57 Correct 29 ms 1532 KB Output is correct
58 Correct 33 ms 1484 KB Output is correct
59 Correct 29 ms 1492 KB Output is correct
60 Correct 30 ms 1516 KB Output is correct
61 Correct 29 ms 1532 KB Output is correct
62 Correct 29 ms 1496 KB Output is correct
63 Correct 30 ms 1492 KB Output is correct
64 Correct 30 ms 1492 KB Output is correct
65 Correct 29 ms 1528 KB Output is correct
66 Correct 31 ms 1492 KB Output is correct
67 Correct 29 ms 1536 KB Output is correct
68 Correct 39 ms 1492 KB Output is correct
69 Correct 30 ms 1492 KB Output is correct
70 Correct 29 ms 1524 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 4 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 6 ms 852 KB Output is correct
77 Correct 6 ms 852 KB Output is correct
78 Correct 6 ms 852 KB Output is correct
79 Correct 6 ms 852 KB Output is correct
80 Correct 6 ms 764 KB Output is correct
81 Correct 12 ms 1256 KB Output is correct
82 Correct 12 ms 1364 KB Output is correct
83 Correct 12 ms 1364 KB Output is correct
84 Correct 11 ms 1340 KB Output is correct
85 Correct 12 ms 1284 KB Output is correct
86 Correct 13 ms 1584 KB Output is correct
87 Correct 13 ms 1476 KB Output is correct
88 Correct 13 ms 1496 KB Output is correct
89 Correct 13 ms 1496 KB Output is correct
90 Correct 13 ms 1496 KB Output is correct
91 Correct 21 ms 3040 KB Output is correct
92 Correct 20 ms 3052 KB Output is correct
93 Correct 19 ms 3060 KB Output is correct
94 Correct 19 ms 3028 KB Output is correct
95 Correct 19 ms 3040 KB Output is correct
96 Correct 23 ms 4432 KB Output is correct
97 Correct 23 ms 4380 KB Output is correct
98 Correct 29 ms 4432 KB Output is correct
99 Correct 22 ms 4368 KB Output is correct
100 Correct 23 ms 4376 KB Output is correct
101 Correct 23 ms 4432 KB Output is correct
102 Correct 23 ms 4456 KB Output is correct
103 Correct 22 ms 4404 KB Output is correct
104 Correct 26 ms 4432 KB Output is correct
105 Correct 23 ms 4412 KB Output is correct
106 Correct 23 ms 4672 KB Output is correct
107 Correct 28 ms 4552 KB Output is correct
108 Correct 23 ms 4624 KB Output is correct
109 Correct 23 ms 4628 KB Output is correct
110 Correct 23 ms 4600 KB Output is correct
111 Correct 23 ms 4568 KB Output is correct
112 Correct 22 ms 4676 KB Output is correct
113 Correct 23 ms 4608 KB Output is correct
114 Correct 23 ms 4632 KB Output is correct
115 Correct 22 ms 4560 KB Output is correct
116 Correct 613 ms 1744 KB Output is correct
117 Correct 476 ms 2260 KB Output is correct
118 Correct 961 ms 2752 KB Output is correct
119 Correct 492 ms 2764 KB Output is correct
120 Correct 346 ms 2836 KB Output is correct
121 Correct 687 ms 3248 KB Output is correct
122 Correct 503 ms 3348 KB Output is correct
123 Correct 2096 ms 4212 KB Output is correct
124 Correct 908 ms 4492 KB Output is correct
125 Correct 1117 ms 4596 KB Output is correct
126 Execution timed out 7086 ms 4300 KB Time limit exceeded
127 Halted 0 ms 0 KB -