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Submission #1097566

# Submission time Handle Problem Language Result Execution time Memory
1097566 2024-10-07T15:03:08 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64596 KB 
#include<bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#define MAXN 300007
using namespace std;

const int bucket_sz=500;

int n,a[MAXN],q;

int br[MAXN],maxs,l,r,p[MAXN],len,bucket[MAXN],pos[MAXN],nxt[MAXN][20],pr[MAXN][20],w[MAXN];
long long ans,mult,sum,s[MAXN],res[MAXN];

struct Fenwick{
    long long fenwick[MAXN];

    void update(int x,long long val){
        while(x<=maxs){
            fenwick[x]+=val;
            x+=(x & (-x));
        }
    }

    long long getsum(int x){
        long long res=0;
        
        while(x>=1){
            res+=fenwick[x];
            x^=(x & (-x));
        }

        return res;
    }
}pref,suff,sumpref,sumsuff;

struct query{
    int l,r,id;

    inline friend bool operator < (query fr,query sc){
        if(bucket[fr.l]!=bucket[sc.l])return bucket[fr.l]<bucket[sc.l];

        if(bucket[fr.l]%2==0)return fr.r<sc.r;
        else return fr.r>sc.r;
    }

}qs[MAXN];

long long calc(int x){
    return pref.getsum(x-1)-sumpref.getsum(x-1)*(maxs-x+1) + suff.getsum(maxs-x)-sumsuff.getsum(maxs-x)*x; 
}

void change(int x,long long val){
    if(val==0)return;

    long long mul=calc(x);

    ans-=s[x]*mul;
    ans-=s[x]*(s[x]-1)/2+s[x];

    s[x]+=val;

    sumpref.update(x,val);
    sumsuff.update(maxs-x+1,val);

    pref.update(x,(maxs-x+2)*val);
    suff.update(maxs-x+1,(x+1)*val);

    ans+=s[x]*mul;
    ans+=s[x]*(s[x]-1)/2+s[x];
}

void calcdp(){
    for(int j=1;j<20;j++){
        for(int i=1;i<=n;i++){
            nxt[i][j]=nxt[nxt[i][j-1]][j-1];
            pr[i][j]=pr[pr[i][j-1]][j-1];
        }
    }
}

void add(int x){
    br[x]++;

    int z=pos[x];
    if(br[x]>br[w[nxt[pos[x]][0]]]){
        for(int s=17;s>=0;s--){
            if(br[w[nxt[z][s]]]<br[x])z=nxt[z][s];
        }
    }

    int y=w[z];

    if(x!=y){
        change(pos[x],br[y]-(br[x]-1));
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }else change(pos[x],1);
}

void rem(int x){
    br[x]--;

    int z=pos[x];
    if(br[x]<br[w[pr[pos[x]][0]]]){
        for(int s=17;s>=0;s--){
            if(pr[z][s]!=0 and br[w[pr[z][s]]]>br[x])z=pr[z][s];
        }
    }

    int y=w[z];

    if(x!=y){
        change(pos[x],br[y]-(br[x]+1));
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }else{
        change(pos[x],-1);
    }
}

int main(){

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>q;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        maxs=max(maxs,a[i]);

        bucket[i]=i/bucket_sz;
    }

    for(int i=1;i<=maxs;i++)pos[i]=w[i]=i;

    for(int i=1;i<=maxs;i++){
        if(i<=maxs/2)nxt[i][0]=maxs-i+1;
        else nxt[i][0]=maxs-i+2;
    }
    if(maxs%2==1)nxt[maxs/2+1][0]=maxs/2+1;

    for(int i=1;i<=maxs;i++)pr[nxt[i][0]][0]=i;

    if(maxs%2==1)pr[maxs/2+1][0]=maxs/2+2;
    else pr[maxs/2+1][0]=maxs/2;
    pr[1][0]=0;

    calcdp();

    for(int i=1;i<=q;i++){
        cin>>qs[i].l>>qs[i].r;
        qs[i].id=i;
    }

    sort(qs+1,qs+q+1);

    l=1; r=0;
    for(int i=1;i<=q;i++){
        while(r<qs[i].r){
            r++; add(a[r]);
        }

        while(l>qs[i].l){
            l--; add(a[l]);
        }

        while(r>qs[i].r){
            rem(a[r]); r--;
        }

        while(l<qs[i].l){
            rem(a[l]); l++;
        }

        res[qs[i].id]=ans;
    }

    for(int i=1;i<=q;i++){
        cout<<res[i]<<"\n";
    }
    
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 2140 KB Output is correct
4 Correct 19 ms 16988 KB Output is correct
5 Correct 38 ms 33624 KB Output is correct
6 Correct 63 ms 50416 KB Output is correct
7 Correct 60 ms 50512 KB Output is correct
8 Correct 60 ms 50408 KB Output is correct
9 Correct 60 ms 50404 KB Output is correct
10 Correct 75 ms 50276 KB Output is correct
11 Correct 62 ms 50268 KB Output is correct
12 Correct 60 ms 50460 KB Output is correct
13 Correct 60 ms 50256 KB Output is correct
14 Correct 65 ms 50432 KB Output is correct
15 Correct 67 ms 50260 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 2140 KB Output is correct
4 Correct 19 ms 16988 KB Output is correct
5 Correct 38 ms 33624 KB Output is correct
6 Correct 63 ms 50416 KB Output is correct
7 Correct 60 ms 50512 KB Output is correct
8 Correct 60 ms 50408 KB Output is correct
9 Correct 60 ms 50404 KB Output is correct
10 Correct 75 ms 50276 KB Output is correct
11 Correct 62 ms 50268 KB Output is correct
12 Correct 60 ms 50460 KB Output is correct
13 Correct 60 ms 50256 KB Output is correct
14 Correct 65 ms 50432 KB Output is correct
15 Correct 67 ms 50260 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2136 KB Output is correct
19 Correct 20 ms 17244 KB Output is correct
20 Correct 41 ms 33884 KB Output is correct
21 Correct 65 ms 50616 KB Output is correct
22 Correct 69 ms 50564 KB Output is correct
23 Correct 68 ms 50540 KB Output is correct
24 Correct 65 ms 50516 KB Output is correct
25 Correct 71 ms 50516 KB Output is correct
26 Correct 66 ms 50540 KB Output is correct
27 Correct 68 ms 50544 KB Output is correct
28 Correct 73 ms 50512 KB Output is correct
29 Correct 63 ms 50524 KB Output is correct
30 Correct 66 ms 50580 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 2140 KB Output is correct
4 Correct 19 ms 16988 KB Output is correct
5 Correct 38 ms 33624 KB Output is correct
6 Correct 63 ms 50416 KB Output is correct
7 Correct 60 ms 50512 KB Output is correct
8 Correct 60 ms 50408 KB Output is correct
9 Correct 60 ms 50404 KB Output is correct
10 Correct 75 ms 50276 KB Output is correct
11 Correct 62 ms 50268 KB Output is correct
12 Correct 60 ms 50460 KB Output is correct
13 Correct 60 ms 50256 KB Output is correct
14 Correct 65 ms 50432 KB Output is correct
15 Correct 67 ms 50260 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2136 KB Output is correct
19 Correct 20 ms 17244 KB Output is correct
20 Correct 41 ms 33884 KB Output is correct
21 Correct 65 ms 50616 KB Output is correct
22 Correct 69 ms 50564 KB Output is correct
23 Correct 68 ms 50540 KB Output is correct
24 Correct 65 ms 50516 KB Output is correct
25 Correct 71 ms 50516 KB Output is correct
26 Correct 66 ms 50540 KB Output is correct
27 Correct 68 ms 50544 KB Output is correct
28 Correct 73 ms 50512 KB Output is correct
29 Correct 63 ms 50524 KB Output is correct
30 Correct 66 ms 50580 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 3 ms 2140 KB Output is correct
35 Correct 3 ms 2196 KB Output is correct
36 Correct 4 ms 2140 KB Output is correct
37 Correct 15 ms 8980 KB Output is correct
38 Correct 17 ms 8840 KB Output is correct
39 Correct 33 ms 17500 KB Output is correct
40 Correct 65 ms 34132 KB Output is correct
41 Correct 94 ms 50896 KB Output is correct
42 Correct 93 ms 51024 KB Output is correct
43 Correct 94 ms 50772 KB Output is correct
44 Correct 91 ms 51000 KB Output is correct
45 Correct 94 ms 50768 KB Output is correct
46 Correct 107 ms 50876 KB Output is correct
47 Correct 88 ms 51024 KB Output is correct
48 Correct 89 ms 50968 KB Output is correct
49 Correct 91 ms 51024 KB Output is correct
50 Correct 87 ms 50932 KB Output is correct
51 Correct 95 ms 51024 KB Output is correct
52 Correct 90 ms 50772 KB Output is correct
53 Correct 96 ms 50924 KB Output is correct
54 Correct 90 ms 51008 KB Output is correct
55 Correct 89 ms 50904 KB Output is correct
56 Correct 89 ms 51024 KB Output is correct
57 Correct 90 ms 50932 KB Output is correct
58 Correct 95 ms 50940 KB Output is correct
59 Correct 101 ms 50804 KB Output is correct
60 Correct 96 ms 50808 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 2 ms 2140 KB Output is correct
14 Correct 19 ms 16988 KB Output is correct
15 Correct 38 ms 33624 KB Output is correct
16 Correct 63 ms 50416 KB Output is correct
17 Correct 60 ms 50512 KB Output is correct
18 Correct 60 ms 50408 KB Output is correct
19 Correct 60 ms 50404 KB Output is correct
20 Correct 75 ms 50276 KB Output is correct
21 Correct 62 ms 50268 KB Output is correct
22 Correct 60 ms 50460 KB Output is correct
23 Correct 60 ms 50256 KB Output is correct
24 Correct 65 ms 50432 KB Output is correct
25 Correct 67 ms 50260 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2136 KB Output is correct
29 Correct 20 ms 17244 KB Output is correct
30 Correct 41 ms 33884 KB Output is correct
31 Correct 65 ms 50616 KB Output is correct
32 Correct 69 ms 50564 KB Output is correct
33 Correct 68 ms 50540 KB Output is correct
34 Correct 65 ms 50516 KB Output is correct
35 Correct 71 ms 50516 KB Output is correct
36 Correct 66 ms 50540 KB Output is correct
37 Correct 68 ms 50544 KB Output is correct
38 Correct 73 ms 50512 KB Output is correct
39 Correct 63 ms 50524 KB Output is correct
40 Correct 66 ms 50580 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 3 ms 2140 KB Output is correct
45 Correct 3 ms 2196 KB Output is correct
46 Correct 4 ms 2140 KB Output is correct
47 Correct 15 ms 8980 KB Output is correct
48 Correct 17 ms 8840 KB Output is correct
49 Correct 33 ms 17500 KB Output is correct
50 Correct 65 ms 34132 KB Output is correct
51 Correct 94 ms 50896 KB Output is correct
52 Correct 93 ms 51024 KB Output is correct
53 Correct 94 ms 50772 KB Output is correct
54 Correct 91 ms 51000 KB Output is correct
55 Correct 94 ms 50768 KB Output is correct
56 Correct 107 ms 50876 KB Output is correct
57 Correct 88 ms 51024 KB Output is correct
58 Correct 89 ms 50968 KB Output is correct
59 Correct 91 ms 51024 KB Output is correct
60 Correct 87 ms 50932 KB Output is correct
61 Correct 95 ms 51024 KB Output is correct
62 Correct 90 ms 50772 KB Output is correct
63 Correct 96 ms 50924 KB Output is correct
64 Correct 90 ms 51008 KB Output is correct
65 Correct 89 ms 50904 KB Output is correct
66 Correct 89 ms 51024 KB Output is correct
67 Correct 90 ms 50932 KB Output is correct
68 Correct 95 ms 50940 KB Output is correct
69 Correct 101 ms 50804 KB Output is correct
70 Correct 96 ms 50808 KB Output is correct
71 Correct 21 ms 9052 KB Output is correct
72 Correct 20 ms 9052 KB Output is correct
73 Correct 20 ms 9064 KB Output is correct
74 Correct 19 ms 9304 KB Output is correct
75 Correct 21 ms 9048 KB Output is correct
76 Correct 54 ms 17564 KB Output is correct
77 Correct 44 ms 17656 KB Output is correct
78 Correct 45 ms 17488 KB Output is correct
79 Correct 44 ms 17524 KB Output is correct
80 Correct 44 ms 17684 KB Output is correct
81 Correct 104 ms 34856 KB Output is correct
82 Correct 97 ms 34668 KB Output is correct
83 Correct 99 ms 34644 KB Output is correct
84 Correct 100 ms 34640 KB Output is correct
85 Correct 99 ms 34808 KB Output is correct
86 Correct 122 ms 35240 KB Output is correct
87 Correct 110 ms 35340 KB Output is correct
88 Correct 133 ms 35416 KB Output is correct
89 Correct 112 ms 35408 KB Output is correct
90 Correct 114 ms 35336 KB Output is correct
91 Correct 254 ms 56396 KB Output is correct
92 Correct 247 ms 56408 KB Output is correct
93 Correct 241 ms 56612 KB Output is correct
94 Correct 234 ms 56400 KB Output is correct
95 Correct 228 ms 56400 KB Output is correct
96 Correct 283 ms 61692 KB Output is correct
97 Correct 278 ms 61676 KB Output is correct
98 Correct 284 ms 61776 KB Output is correct
99 Correct 283 ms 61652 KB Output is correct
100 Correct 283 ms 61780 KB Output is correct
101 Correct 290 ms 61776 KB Output is correct
102 Correct 312 ms 61800 KB Output is correct
103 Correct 296 ms 61784 KB Output is correct
104 Correct 338 ms 61756 KB Output is correct
105 Correct 280 ms 61624 KB Output is correct
106 Correct 296 ms 64376 KB Output is correct
107 Correct 299 ms 64216 KB Output is correct
108 Correct 318 ms 64596 KB Output is correct
109 Correct 335 ms 64404 KB Output is correct
110 Correct 315 ms 64308 KB Output is correct
111 Correct 301 ms 64336 KB Output is correct
112 Correct 310 ms 64340 KB Output is correct
113 Correct 309 ms 64336 KB Output is correct
114 Correct 323 ms 64204 KB Output is correct
115 Correct 312 ms 64408 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 2 ms 2140 KB Output is correct
14 Correct 19 ms 16988 KB Output is correct
15 Correct 38 ms 33624 KB Output is correct
16 Correct 63 ms 50416 KB Output is correct
17 Correct 60 ms 50512 KB Output is correct
18 Correct 60 ms 50408 KB Output is correct
19 Correct 60 ms 50404 KB Output is correct
20 Correct 75 ms 50276 KB Output is correct
21 Correct 62 ms 50268 KB Output is correct
22 Correct 60 ms 50460 KB Output is correct
23 Correct 60 ms 50256 KB Output is correct
24 Correct 65 ms 50432 KB Output is correct
25 Correct 67 ms 50260 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2136 KB Output is correct
29 Correct 20 ms 17244 KB Output is correct
30 Correct 41 ms 33884 KB Output is correct
31 Correct 65 ms 50616 KB Output is correct
32 Correct 69 ms 50564 KB Output is correct
33 Correct 68 ms 50540 KB Output is correct
34 Correct 65 ms 50516 KB Output is correct
35 Correct 71 ms 50516 KB Output is correct
36 Correct 66 ms 50540 KB Output is correct
37 Correct 68 ms 50544 KB Output is correct
38 Correct 73 ms 50512 KB Output is correct
39 Correct 63 ms 50524 KB Output is correct
40 Correct 66 ms 50580 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 3 ms 2140 KB Output is correct
45 Correct 3 ms 2196 KB Output is correct
46 Correct 4 ms 2140 KB Output is correct
47 Correct 15 ms 8980 KB Output is correct
48 Correct 17 ms 8840 KB Output is correct
49 Correct 33 ms 17500 KB Output is correct
50 Correct 65 ms 34132 KB Output is correct
51 Correct 94 ms 50896 KB Output is correct
52 Correct 93 ms 51024 KB Output is correct
53 Correct 94 ms 50772 KB Output is correct
54 Correct 91 ms 51000 KB Output is correct
55 Correct 94 ms 50768 KB Output is correct
56 Correct 107 ms 50876 KB Output is correct
57 Correct 88 ms 51024 KB Output is correct
58 Correct 89 ms 50968 KB Output is correct
59 Correct 91 ms 51024 KB Output is correct
60 Correct 87 ms 50932 KB Output is correct
61 Correct 95 ms 51024 KB Output is correct
62 Correct 90 ms 50772 KB Output is correct
63 Correct 96 ms 50924 KB Output is correct
64 Correct 90 ms 51008 KB Output is correct
65 Correct 89 ms 50904 KB Output is correct
66 Correct 89 ms 51024 KB Output is correct
67 Correct 90 ms 50932 KB Output is correct
68 Correct 95 ms 50940 KB Output is correct
69 Correct 101 ms 50804 KB Output is correct
70 Correct 96 ms 50808 KB Output is correct
71 Correct 21 ms 9052 KB Output is correct
72 Correct 20 ms 9052 KB Output is correct
73 Correct 20 ms 9064 KB Output is correct
74 Correct 19 ms 9304 KB Output is correct
75 Correct 21 ms 9048 KB Output is correct
76 Correct 54 ms 17564 KB Output is correct
77 Correct 44 ms 17656 KB Output is correct
78 Correct 45 ms 17488 KB Output is correct
79 Correct 44 ms 17524 KB Output is correct
80 Correct 44 ms 17684 KB Output is correct
81 Correct 104 ms 34856 KB Output is correct
82 Correct 97 ms 34668 KB Output is correct
83 Correct 99 ms 34644 KB Output is correct
84 Correct 100 ms 34640 KB Output is correct
85 Correct 99 ms 34808 KB Output is correct
86 Correct 122 ms 35240 KB Output is correct
87 Correct 110 ms 35340 KB Output is correct
88 Correct 133 ms 35416 KB Output is correct
89 Correct 112 ms 35408 KB Output is correct
90 Correct 114 ms 35336 KB Output is correct
91 Correct 254 ms 56396 KB Output is correct
92 Correct 247 ms 56408 KB Output is correct
93 Correct 241 ms 56612 KB Output is correct
94 Correct 234 ms 56400 KB Output is correct
95 Correct 228 ms 56400 KB Output is correct
96 Correct 283 ms 61692 KB Output is correct
97 Correct 278 ms 61676 KB Output is correct
98 Correct 284 ms 61776 KB Output is correct
99 Correct 283 ms 61652 KB Output is correct
100 Correct 283 ms 61780 KB Output is correct
101 Correct 290 ms 61776 KB Output is correct
102 Correct 312 ms 61800 KB Output is correct
103 Correct 296 ms 61784 KB Output is correct
104 Correct 338 ms 61756 KB Output is correct
105 Correct 280 ms 61624 KB Output is correct
106 Correct 296 ms 64376 KB Output is correct
107 Correct 299 ms 64216 KB Output is correct
108 Correct 318 ms 64596 KB Output is correct
109 Correct 335 ms 64404 KB Output is correct
110 Correct 315 ms 64308 KB Output is correct
111 Correct 301 ms 64336 KB Output is correct
112 Correct 310 ms 64340 KB Output is correct
113 Correct 309 ms 64336 KB Output is correct
114 Correct 323 ms 64204 KB Output is correct
115 Correct 312 ms 64408 KB Output is correct
116 Correct 343 ms 3924 KB Output is correct
117 Correct 504 ms 3940 KB Output is correct
118 Correct 510 ms 10960 KB Output is correct
119 Correct 1134 ms 11020 KB Output is correct
120 Correct 1381 ms 11044 KB Output is correct
121 Correct 2352 ms 19396 KB Output is correct
122 Correct 2935 ms 19568 KB Output is correct
123 Correct 5803 ms 36344 KB Output is correct
124 Execution timed out 7040 ms 36176 KB Time limit exceeded
125 Halted 0 ms 0 KB -