답안 #790551

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
790551 2023-07-22T20:36:42 Z CSQ31 Diversity (CEOI21_diversity) C++17
64 / 100
136 ms 3288 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 pair<int,int> pii;
typedef vector<vector<int>> vii;
const int MAXN = 3e5+5,blk = 450;
int a[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);
	}
};
int cnt[MAXN],freq[MAXN];
set<int>s;
void add(int x,int c){
	if(freq[cnt[x]] == 1)s.erase(cnt[x]);
	freq[cnt[x]]--;
	cnt[x]+=c;
	freq[cnt[x]]++;
	if(freq[cnt[x]] == 1)s.insert(cnt[x]);
}
typedef __int128 ll;
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;
		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(L<l){
			add(a[L],-1);
			L++;
		}
		while(R<r){
			R++;
			add(a[R],1);
		}
		while(R>r){
			add(a[R],-1);
			R--;
		}
		//cout<<"TES"<<'\n';
		ans[qq[i].id] = cal(r-l+1);		
	}
	for(int i=0;i<q;i++){
		long long int x = ans[i];
		cout<<x<<'\n';
	}
	
	
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 11 ms 744 KB Output is correct
5 Correct 20 ms 1348 KB Output is correct
6 Correct 32 ms 1668 KB Output is correct
7 Correct 31 ms 2132 KB Output is correct
8 Correct 31 ms 1632 KB Output is correct
9 Correct 31 ms 1620 KB Output is correct
10 Correct 31 ms 1812 KB Output is correct
11 Correct 31 ms 1668 KB Output is correct
12 Correct 32 ms 1708 KB Output is correct
13 Correct 33 ms 1580 KB Output is correct
14 Correct 31 ms 1764 KB Output is correct
15 Correct 33 ms 1692 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 11 ms 744 KB Output is correct
5 Correct 20 ms 1348 KB Output is correct
6 Correct 32 ms 1668 KB Output is correct
7 Correct 31 ms 2132 KB Output is correct
8 Correct 31 ms 1632 KB Output is correct
9 Correct 31 ms 1620 KB Output is correct
10 Correct 31 ms 1812 KB Output is correct
11 Correct 31 ms 1668 KB Output is correct
12 Correct 32 ms 1708 KB Output is correct
13 Correct 33 ms 1580 KB Output is correct
14 Correct 31 ms 1764 KB Output is correct
15 Correct 33 ms 1692 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 25 ms 1216 KB Output is correct
21 Correct 36 ms 1640 KB Output is correct
22 Correct 36 ms 1648 KB Output is correct
23 Correct 36 ms 1652 KB Output is correct
24 Correct 37 ms 1564 KB Output is correct
25 Correct 37 ms 1536 KB Output is correct
26 Correct 37 ms 1632 KB Output is correct
27 Correct 36 ms 1612 KB Output is correct
28 Correct 35 ms 1712 KB Output is correct
29 Correct 36 ms 1632 KB Output is correct
30 Correct 43 ms 1848 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 11 ms 744 KB Output is correct
5 Correct 20 ms 1348 KB Output is correct
6 Correct 32 ms 1668 KB Output is correct
7 Correct 31 ms 2132 KB Output is correct
8 Correct 31 ms 1632 KB Output is correct
9 Correct 31 ms 1620 KB Output is correct
10 Correct 31 ms 1812 KB Output is correct
11 Correct 31 ms 1668 KB Output is correct
12 Correct 32 ms 1708 KB Output is correct
13 Correct 33 ms 1580 KB Output is correct
14 Correct 31 ms 1764 KB Output is correct
15 Correct 33 ms 1692 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 25 ms 1216 KB Output is correct
21 Correct 36 ms 1640 KB Output is correct
22 Correct 36 ms 1648 KB Output is correct
23 Correct 36 ms 1652 KB Output is correct
24 Correct 37 ms 1564 KB Output is correct
25 Correct 37 ms 1536 KB Output is correct
26 Correct 37 ms 1632 KB Output is correct
27 Correct 36 ms 1612 KB Output is correct
28 Correct 35 ms 1712 KB Output is correct
29 Correct 36 ms 1632 KB Output is correct
30 Correct 43 ms 1848 KB Output is correct
31 Correct 0 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 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 468 KB Output is correct
38 Correct 5 ms 468 KB Output is correct
39 Correct 8 ms 724 KB Output is correct
40 Correct 19 ms 1072 KB Output is correct
41 Correct 29 ms 1532 KB Output is correct
42 Correct 30 ms 1492 KB Output is correct
43 Correct 31 ms 1516 KB Output is correct
44 Correct 30 ms 1440 KB Output is correct
45 Correct 30 ms 1492 KB Output is correct
46 Correct 33 ms 1512 KB Output is correct
47 Correct 29 ms 1464 KB Output is correct
48 Correct 30 ms 1524 KB Output is correct
49 Correct 29 ms 1524 KB Output is correct
50 Correct 31 ms 1536 KB Output is correct
51 Correct 29 ms 1540 KB Output is correct
52 Correct 29 ms 1548 KB Output is correct
53 Correct 30 ms 1520 KB Output is correct
54 Correct 30 ms 1492 KB Output is correct
55 Correct 29 ms 1492 KB Output is correct
56 Correct 29 ms 1496 KB Output is correct
57 Correct 28 ms 1524 KB Output is correct
58 Correct 34 ms 1616 KB Output is correct
59 Correct 29 ms 1536 KB Output is correct
60 Correct 29 ms 1492 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 11 ms 744 KB Output is correct
15 Correct 20 ms 1348 KB Output is correct
16 Correct 32 ms 1668 KB Output is correct
17 Correct 31 ms 2132 KB Output is correct
18 Correct 31 ms 1632 KB Output is correct
19 Correct 31 ms 1620 KB Output is correct
20 Correct 31 ms 1812 KB Output is correct
21 Correct 31 ms 1668 KB Output is correct
22 Correct 32 ms 1708 KB Output is correct
23 Correct 33 ms 1580 KB Output is correct
24 Correct 31 ms 1764 KB Output is correct
25 Correct 33 ms 1692 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 25 ms 1216 KB Output is correct
31 Correct 36 ms 1640 KB Output is correct
32 Correct 36 ms 1648 KB Output is correct
33 Correct 36 ms 1652 KB Output is correct
34 Correct 37 ms 1564 KB Output is correct
35 Correct 37 ms 1536 KB Output is correct
36 Correct 37 ms 1632 KB Output is correct
37 Correct 36 ms 1612 KB Output is correct
38 Correct 35 ms 1712 KB Output is correct
39 Correct 36 ms 1632 KB Output is correct
40 Correct 43 ms 1848 KB Output is correct
41 Correct 0 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 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 468 KB Output is correct
48 Correct 5 ms 468 KB Output is correct
49 Correct 8 ms 724 KB Output is correct
50 Correct 19 ms 1072 KB Output is correct
51 Correct 29 ms 1532 KB Output is correct
52 Correct 30 ms 1492 KB Output is correct
53 Correct 31 ms 1516 KB Output is correct
54 Correct 30 ms 1440 KB Output is correct
55 Correct 30 ms 1492 KB Output is correct
56 Correct 33 ms 1512 KB Output is correct
57 Correct 29 ms 1464 KB Output is correct
58 Correct 30 ms 1524 KB Output is correct
59 Correct 29 ms 1524 KB Output is correct
60 Correct 31 ms 1536 KB Output is correct
61 Correct 29 ms 1540 KB Output is correct
62 Correct 29 ms 1548 KB Output is correct
63 Correct 30 ms 1520 KB Output is correct
64 Correct 30 ms 1492 KB Output is correct
65 Correct 29 ms 1492 KB Output is correct
66 Correct 29 ms 1496 KB Output is correct
67 Correct 28 ms 1524 KB Output is correct
68 Correct 34 ms 1616 KB Output is correct
69 Correct 29 ms 1536 KB Output is correct
70 Correct 29 ms 1492 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 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 6 ms 692 KB Output is correct
77 Correct 6 ms 684 KB Output is correct
78 Correct 6 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 14 ms 1132 KB Output is correct
82 Correct 12 ms 1204 KB Output is correct
83 Correct 13 ms 1108 KB Output is correct
84 Correct 12 ms 1196 KB Output is correct
85 Correct 13 ms 1108 KB Output is correct
86 Correct 13 ms 1208 KB Output is correct
87 Correct 13 ms 1124 KB Output is correct
88 Correct 13 ms 1108 KB Output is correct
89 Correct 13 ms 1108 KB Output is correct
90 Correct 13 ms 1200 KB Output is correct
91 Correct 18 ms 1824 KB Output is correct
92 Correct 19 ms 1868 KB Output is correct
93 Correct 19 ms 1872 KB Output is correct
94 Correct 22 ms 1880 KB Output is correct
95 Correct 22 ms 1888 KB Output is correct
96 Correct 22 ms 2260 KB Output is correct
97 Correct 21 ms 2220 KB Output is correct
98 Correct 22 ms 2256 KB Output is correct
99 Correct 21 ms 2176 KB Output is correct
100 Correct 22 ms 2288 KB Output is correct
101 Correct 21 ms 2188 KB Output is correct
102 Correct 22 ms 2268 KB Output is correct
103 Correct 21 ms 2256 KB Output is correct
104 Correct 22 ms 2256 KB Output is correct
105 Correct 21 ms 2260 KB Output is correct
106 Correct 27 ms 2404 KB Output is correct
107 Correct 22 ms 2464 KB Output is correct
108 Correct 21 ms 2388 KB Output is correct
109 Correct 22 ms 2388 KB Output is correct
110 Correct 27 ms 2384 KB Output is correct
111 Correct 21 ms 2384 KB Output is correct
112 Correct 21 ms 2388 KB Output is correct
113 Correct 21 ms 2420 KB Output is correct
114 Correct 25 ms 2372 KB Output is correct
115 Correct 21 ms 2388 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 11 ms 744 KB Output is correct
15 Correct 20 ms 1348 KB Output is correct
16 Correct 32 ms 1668 KB Output is correct
17 Correct 31 ms 2132 KB Output is correct
18 Correct 31 ms 1632 KB Output is correct
19 Correct 31 ms 1620 KB Output is correct
20 Correct 31 ms 1812 KB Output is correct
21 Correct 31 ms 1668 KB Output is correct
22 Correct 32 ms 1708 KB Output is correct
23 Correct 33 ms 1580 KB Output is correct
24 Correct 31 ms 1764 KB Output is correct
25 Correct 33 ms 1692 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 25 ms 1216 KB Output is correct
31 Correct 36 ms 1640 KB Output is correct
32 Correct 36 ms 1648 KB Output is correct
33 Correct 36 ms 1652 KB Output is correct
34 Correct 37 ms 1564 KB Output is correct
35 Correct 37 ms 1536 KB Output is correct
36 Correct 37 ms 1632 KB Output is correct
37 Correct 36 ms 1612 KB Output is correct
38 Correct 35 ms 1712 KB Output is correct
39 Correct 36 ms 1632 KB Output is correct
40 Correct 43 ms 1848 KB Output is correct
41 Correct 0 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 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 468 KB Output is correct
48 Correct 5 ms 468 KB Output is correct
49 Correct 8 ms 724 KB Output is correct
50 Correct 19 ms 1072 KB Output is correct
51 Correct 29 ms 1532 KB Output is correct
52 Correct 30 ms 1492 KB Output is correct
53 Correct 31 ms 1516 KB Output is correct
54 Correct 30 ms 1440 KB Output is correct
55 Correct 30 ms 1492 KB Output is correct
56 Correct 33 ms 1512 KB Output is correct
57 Correct 29 ms 1464 KB Output is correct
58 Correct 30 ms 1524 KB Output is correct
59 Correct 29 ms 1524 KB Output is correct
60 Correct 31 ms 1536 KB Output is correct
61 Correct 29 ms 1540 KB Output is correct
62 Correct 29 ms 1548 KB Output is correct
63 Correct 30 ms 1520 KB Output is correct
64 Correct 30 ms 1492 KB Output is correct
65 Correct 29 ms 1492 KB Output is correct
66 Correct 29 ms 1496 KB Output is correct
67 Correct 28 ms 1524 KB Output is correct
68 Correct 34 ms 1616 KB Output is correct
69 Correct 29 ms 1536 KB Output is correct
70 Correct 29 ms 1492 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 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 6 ms 692 KB Output is correct
77 Correct 6 ms 684 KB Output is correct
78 Correct 6 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 14 ms 1132 KB Output is correct
82 Correct 12 ms 1204 KB Output is correct
83 Correct 13 ms 1108 KB Output is correct
84 Correct 12 ms 1196 KB Output is correct
85 Correct 13 ms 1108 KB Output is correct
86 Correct 13 ms 1208 KB Output is correct
87 Correct 13 ms 1124 KB Output is correct
88 Correct 13 ms 1108 KB Output is correct
89 Correct 13 ms 1108 KB Output is correct
90 Correct 13 ms 1200 KB Output is correct
91 Correct 18 ms 1824 KB Output is correct
92 Correct 19 ms 1868 KB Output is correct
93 Correct 19 ms 1872 KB Output is correct
94 Correct 22 ms 1880 KB Output is correct
95 Correct 22 ms 1888 KB Output is correct
96 Correct 22 ms 2260 KB Output is correct
97 Correct 21 ms 2220 KB Output is correct
98 Correct 22 ms 2256 KB Output is correct
99 Correct 21 ms 2176 KB Output is correct
100 Correct 22 ms 2288 KB Output is correct
101 Correct 21 ms 2188 KB Output is correct
102 Correct 22 ms 2268 KB Output is correct
103 Correct 21 ms 2256 KB Output is correct
104 Correct 22 ms 2256 KB Output is correct
105 Correct 21 ms 2260 KB Output is correct
106 Correct 27 ms 2404 KB Output is correct
107 Correct 22 ms 2464 KB Output is correct
108 Correct 21 ms 2388 KB Output is correct
109 Correct 22 ms 2388 KB Output is correct
110 Correct 27 ms 2384 KB Output is correct
111 Correct 21 ms 2384 KB Output is correct
112 Correct 21 ms 2388 KB Output is correct
113 Correct 21 ms 2420 KB Output is correct
114 Correct 25 ms 2372 KB Output is correct
115 Correct 21 ms 2388 KB Output is correct
116 Runtime error 136 ms 3288 KB Execution killed with signal 11
117 Halted 0 ms 0 KB -