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Submission #1097474

# Submission time Handle Problem Language Result Execution time Memory
1097474 2024-10-07T12:50:50 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64448 KB 
#include<bits/stdc++.h>

#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];
        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){
    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];
    for(int s=19;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];
    for(int s=19;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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 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 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 2340 KB Output is correct
4 Correct 34 ms 17120 KB Output is correct
5 Correct 68 ms 33696 KB Output is correct
6 Correct 90 ms 50452 KB Output is correct
7 Correct 89 ms 50264 KB Output is correct
8 Correct 89 ms 50256 KB Output is correct
9 Correct 103 ms 50260 KB Output is correct
10 Correct 109 ms 50468 KB Output is correct
11 Correct 90 ms 50360 KB Output is correct
12 Correct 90 ms 50260 KB Output is correct
13 Correct 89 ms 50256 KB Output is correct
14 Correct 92 ms 50256 KB Output is correct
15 Correct 99 ms 50260 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 2340 KB Output is correct
4 Correct 34 ms 17120 KB Output is correct
5 Correct 68 ms 33696 KB Output is correct
6 Correct 90 ms 50452 KB Output is correct
7 Correct 89 ms 50264 KB Output is correct
8 Correct 89 ms 50256 KB Output is correct
9 Correct 103 ms 50260 KB Output is correct
10 Correct 109 ms 50468 KB Output is correct
11 Correct 90 ms 50360 KB Output is correct
12 Correct 90 ms 50260 KB Output is correct
13 Correct 89 ms 50256 KB Output is correct
14 Correct 92 ms 50256 KB Output is correct
15 Correct 99 ms 50260 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2140 KB Output is correct
19 Correct 33 ms 17272 KB Output is correct
20 Correct 69 ms 33936 KB Output is correct
21 Correct 106 ms 50488 KB Output is correct
22 Correct 128 ms 50512 KB Output is correct
23 Correct 103 ms 50460 KB Output is correct
24 Correct 104 ms 50476 KB Output is correct
25 Correct 118 ms 50556 KB Output is correct
26 Correct 108 ms 50512 KB Output is correct
27 Correct 107 ms 50524 KB Output is correct
28 Correct 126 ms 50508 KB Output is correct
29 Correct 127 ms 50512 KB Output is correct
30 Correct 106 ms 50400 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 2340 KB Output is correct
4 Correct 34 ms 17120 KB Output is correct
5 Correct 68 ms 33696 KB Output is correct
6 Correct 90 ms 50452 KB Output is correct
7 Correct 89 ms 50264 KB Output is correct
8 Correct 89 ms 50256 KB Output is correct
9 Correct 103 ms 50260 KB Output is correct
10 Correct 109 ms 50468 KB Output is correct
11 Correct 90 ms 50360 KB Output is correct
12 Correct 90 ms 50260 KB Output is correct
13 Correct 89 ms 50256 KB Output is correct
14 Correct 92 ms 50256 KB Output is correct
15 Correct 99 ms 50260 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2140 KB Output is correct
19 Correct 33 ms 17272 KB Output is correct
20 Correct 69 ms 33936 KB Output is correct
21 Correct 106 ms 50488 KB Output is correct
22 Correct 128 ms 50512 KB Output is correct
23 Correct 103 ms 50460 KB Output is correct
24 Correct 104 ms 50476 KB Output is correct
25 Correct 118 ms 50556 KB Output is correct
26 Correct 108 ms 50512 KB Output is correct
27 Correct 107 ms 50524 KB Output is correct
28 Correct 126 ms 50508 KB Output is correct
29 Correct 127 ms 50512 KB Output is correct
30 Correct 106 ms 50400 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 4 ms 2136 KB Output is correct
35 Correct 5 ms 2136 KB Output is correct
36 Correct 5 ms 2288 KB Output is correct
37 Correct 23 ms 8964 KB Output is correct
38 Correct 21 ms 8796 KB Output is correct
39 Correct 40 ms 17368 KB Output is correct
40 Correct 84 ms 34164 KB Output is correct
41 Correct 127 ms 50924 KB Output is correct
42 Correct 122 ms 51024 KB Output is correct
43 Correct 119 ms 50772 KB Output is correct
44 Correct 126 ms 50780 KB Output is correct
45 Correct 120 ms 50924 KB Output is correct
46 Correct 144 ms 51012 KB Output is correct
47 Correct 121 ms 50828 KB Output is correct
48 Correct 130 ms 50768 KB Output is correct
49 Correct 122 ms 50772 KB Output is correct
50 Correct 119 ms 50772 KB Output is correct
51 Correct 126 ms 50960 KB Output is correct
52 Correct 129 ms 50772 KB Output is correct
53 Correct 124 ms 51008 KB Output is correct
54 Correct 124 ms 51024 KB Output is correct
55 Correct 130 ms 51008 KB Output is correct
56 Correct 129 ms 51024 KB Output is correct
57 Correct 131 ms 50768 KB Output is correct
58 Correct 124 ms 51024 KB Output is correct
59 Correct 119 ms 51020 KB Output is correct
60 Correct 122 ms 50768 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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 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 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 4 ms 2340 KB Output is correct
14 Correct 34 ms 17120 KB Output is correct
15 Correct 68 ms 33696 KB Output is correct
16 Correct 90 ms 50452 KB Output is correct
17 Correct 89 ms 50264 KB Output is correct
18 Correct 89 ms 50256 KB Output is correct
19 Correct 103 ms 50260 KB Output is correct
20 Correct 109 ms 50468 KB Output is correct
21 Correct 90 ms 50360 KB Output is correct
22 Correct 90 ms 50260 KB Output is correct
23 Correct 89 ms 50256 KB Output is correct
24 Correct 92 ms 50256 KB Output is correct
25 Correct 99 ms 50260 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2140 KB Output is correct
29 Correct 33 ms 17272 KB Output is correct
30 Correct 69 ms 33936 KB Output is correct
31 Correct 106 ms 50488 KB Output is correct
32 Correct 128 ms 50512 KB Output is correct
33 Correct 103 ms 50460 KB Output is correct
34 Correct 104 ms 50476 KB Output is correct
35 Correct 118 ms 50556 KB Output is correct
36 Correct 108 ms 50512 KB Output is correct
37 Correct 107 ms 50524 KB Output is correct
38 Correct 126 ms 50508 KB Output is correct
39 Correct 127 ms 50512 KB Output is correct
40 Correct 106 ms 50400 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 4 ms 2136 KB Output is correct
45 Correct 5 ms 2136 KB Output is correct
46 Correct 5 ms 2288 KB Output is correct
47 Correct 23 ms 8964 KB Output is correct
48 Correct 21 ms 8796 KB Output is correct
49 Correct 40 ms 17368 KB Output is correct
50 Correct 84 ms 34164 KB Output is correct
51 Correct 127 ms 50924 KB Output is correct
52 Correct 122 ms 51024 KB Output is correct
53 Correct 119 ms 50772 KB Output is correct
54 Correct 126 ms 50780 KB Output is correct
55 Correct 120 ms 50924 KB Output is correct
56 Correct 144 ms 51012 KB Output is correct
57 Correct 121 ms 50828 KB Output is correct
58 Correct 130 ms 50768 KB Output is correct
59 Correct 122 ms 50772 KB Output is correct
60 Correct 119 ms 50772 KB Output is correct
61 Correct 126 ms 50960 KB Output is correct
62 Correct 129 ms 50772 KB Output is correct
63 Correct 124 ms 51008 KB Output is correct
64 Correct 124 ms 51024 KB Output is correct
65 Correct 130 ms 51008 KB Output is correct
66 Correct 129 ms 51024 KB Output is correct
67 Correct 131 ms 50768 KB Output is correct
68 Correct 124 ms 51024 KB Output is correct
69 Correct 119 ms 51020 KB Output is correct
70 Correct 122 ms 50768 KB Output is correct
71 Correct 24 ms 9048 KB Output is correct
72 Correct 23 ms 9048 KB Output is correct
73 Correct 21 ms 8860 KB Output is correct
74 Correct 23 ms 9048 KB Output is correct
75 Correct 21 ms 9060 KB Output is correct
76 Correct 54 ms 17500 KB Output is correct
77 Correct 49 ms 17488 KB Output is correct
78 Correct 48 ms 17496 KB Output is correct
79 Correct 52 ms 17496 KB Output is correct
80 Correct 49 ms 17500 KB Output is correct
81 Correct 110 ms 34644 KB Output is correct
82 Correct 119 ms 34660 KB Output is correct
83 Correct 114 ms 34640 KB Output is correct
84 Correct 132 ms 34896 KB Output is correct
85 Correct 136 ms 34640 KB Output is correct
86 Correct 133 ms 35392 KB Output is correct
87 Correct 130 ms 35408 KB Output is correct
88 Correct 145 ms 35352 KB Output is correct
89 Correct 135 ms 35408 KB Output is correct
90 Correct 136 ms 35668 KB Output is correct
91 Correct 324 ms 56624 KB Output is correct
92 Correct 300 ms 56404 KB Output is correct
93 Correct 299 ms 56408 KB Output is correct
94 Correct 299 ms 56504 KB Output is correct
95 Correct 289 ms 56380 KB Output is correct
96 Correct 374 ms 61836 KB Output is correct
97 Correct 366 ms 61776 KB Output is correct
98 Correct 392 ms 62032 KB Output is correct
99 Correct 374 ms 61684 KB Output is correct
100 Correct 367 ms 61836 KB Output is correct
101 Correct 385 ms 61860 KB Output is correct
102 Correct 378 ms 61676 KB Output is correct
103 Correct 374 ms 61680 KB Output is correct
104 Correct 381 ms 61680 KB Output is correct
105 Correct 391 ms 61684 KB Output is correct
106 Correct 420 ms 64340 KB Output is correct
107 Correct 393 ms 64448 KB Output is correct
108 Correct 416 ms 64408 KB Output is correct
109 Correct 390 ms 64340 KB Output is correct
110 Correct 391 ms 64336 KB Output is correct
111 Correct 385 ms 64436 KB Output is correct
112 Correct 433 ms 64340 KB Output is correct
113 Correct 409 ms 64340 KB Output is correct
114 Correct 392 ms 64336 KB Output is correct
115 Correct 409 ms 64444 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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 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 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 4 ms 2340 KB Output is correct
14 Correct 34 ms 17120 KB Output is correct
15 Correct 68 ms 33696 KB Output is correct
16 Correct 90 ms 50452 KB Output is correct
17 Correct 89 ms 50264 KB Output is correct
18 Correct 89 ms 50256 KB Output is correct
19 Correct 103 ms 50260 KB Output is correct
20 Correct 109 ms 50468 KB Output is correct
21 Correct 90 ms 50360 KB Output is correct
22 Correct 90 ms 50260 KB Output is correct
23 Correct 89 ms 50256 KB Output is correct
24 Correct 92 ms 50256 KB Output is correct
25 Correct 99 ms 50260 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2140 KB Output is correct
29 Correct 33 ms 17272 KB Output is correct
30 Correct 69 ms 33936 KB Output is correct
31 Correct 106 ms 50488 KB Output is correct
32 Correct 128 ms 50512 KB Output is correct
33 Correct 103 ms 50460 KB Output is correct
34 Correct 104 ms 50476 KB Output is correct
35 Correct 118 ms 50556 KB Output is correct
36 Correct 108 ms 50512 KB Output is correct
37 Correct 107 ms 50524 KB Output is correct
38 Correct 126 ms 50508 KB Output is correct
39 Correct 127 ms 50512 KB Output is correct
40 Correct 106 ms 50400 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 4 ms 2136 KB Output is correct
45 Correct 5 ms 2136 KB Output is correct
46 Correct 5 ms 2288 KB Output is correct
47 Correct 23 ms 8964 KB Output is correct
48 Correct 21 ms 8796 KB Output is correct
49 Correct 40 ms 17368 KB Output is correct
50 Correct 84 ms 34164 KB Output is correct
51 Correct 127 ms 50924 KB Output is correct
52 Correct 122 ms 51024 KB Output is correct
53 Correct 119 ms 50772 KB Output is correct
54 Correct 126 ms 50780 KB Output is correct
55 Correct 120 ms 50924 KB Output is correct
56 Correct 144 ms 51012 KB Output is correct
57 Correct 121 ms 50828 KB Output is correct
58 Correct 130 ms 50768 KB Output is correct
59 Correct 122 ms 50772 KB Output is correct
60 Correct 119 ms 50772 KB Output is correct
61 Correct 126 ms 50960 KB Output is correct
62 Correct 129 ms 50772 KB Output is correct
63 Correct 124 ms 51008 KB Output is correct
64 Correct 124 ms 51024 KB Output is correct
65 Correct 130 ms 51008 KB Output is correct
66 Correct 129 ms 51024 KB Output is correct
67 Correct 131 ms 50768 KB Output is correct
68 Correct 124 ms 51024 KB Output is correct
69 Correct 119 ms 51020 KB Output is correct
70 Correct 122 ms 50768 KB Output is correct
71 Correct 24 ms 9048 KB Output is correct
72 Correct 23 ms 9048 KB Output is correct
73 Correct 21 ms 8860 KB Output is correct
74 Correct 23 ms 9048 KB Output is correct
75 Correct 21 ms 9060 KB Output is correct
76 Correct 54 ms 17500 KB Output is correct
77 Correct 49 ms 17488 KB Output is correct
78 Correct 48 ms 17496 KB Output is correct
79 Correct 52 ms 17496 KB Output is correct
80 Correct 49 ms 17500 KB Output is correct
81 Correct 110 ms 34644 KB Output is correct
82 Correct 119 ms 34660 KB Output is correct
83 Correct 114 ms 34640 KB Output is correct
84 Correct 132 ms 34896 KB Output is correct
85 Correct 136 ms 34640 KB Output is correct
86 Correct 133 ms 35392 KB Output is correct
87 Correct 130 ms 35408 KB Output is correct
88 Correct 145 ms 35352 KB Output is correct
89 Correct 135 ms 35408 KB Output is correct
90 Correct 136 ms 35668 KB Output is correct
91 Correct 324 ms 56624 KB Output is correct
92 Correct 300 ms 56404 KB Output is correct
93 Correct 299 ms 56408 KB Output is correct
94 Correct 299 ms 56504 KB Output is correct
95 Correct 289 ms 56380 KB Output is correct
96 Correct 374 ms 61836 KB Output is correct
97 Correct 366 ms 61776 KB Output is correct
98 Correct 392 ms 62032 KB Output is correct
99 Correct 374 ms 61684 KB Output is correct
100 Correct 367 ms 61836 KB Output is correct
101 Correct 385 ms 61860 KB Output is correct
102 Correct 378 ms 61676 KB Output is correct
103 Correct 374 ms 61680 KB Output is correct
104 Correct 381 ms 61680 KB Output is correct
105 Correct 391 ms 61684 KB Output is correct
106 Correct 420 ms 64340 KB Output is correct
107 Correct 393 ms 64448 KB Output is correct
108 Correct 416 ms 64408 KB Output is correct
109 Correct 390 ms 64340 KB Output is correct
110 Correct 391 ms 64336 KB Output is correct
111 Correct 385 ms 64436 KB Output is correct
112 Correct 433 ms 64340 KB Output is correct
113 Correct 409 ms 64340 KB Output is correct
114 Correct 392 ms 64336 KB Output is correct
115 Correct 409 ms 64444 KB Output is correct
116 Correct 968 ms 3924 KB Output is correct
117 Correct 1095 ms 3924 KB Output is correct
118 Correct 1632 ms 10952 KB Output is correct
119 Correct 2139 ms 11020 KB Output is correct
120 Correct 2488 ms 11096 KB Output is correct
121 Correct 5146 ms 19556 KB Output is correct
122 Correct 6013 ms 19564 KB Output is correct
123 Execution timed out 7061 ms 35804 KB Time limit exceeded
124 Halted 0 ms 0 KB -