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Submission #1097464

# Submission time Handle Problem Language Result Execution time Memory
1097464 2024-10-07T12:41:59 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64188 KB 
#include<bits/stdc++.h>
#define MAXN 300007
using namespace std;

const int bucket_sz=600;

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 s[x] * ( 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){
    ans-=calc(x);
    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+=calc(x);
    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]++;
    change(pos[x],1);

    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]);
        change(pos[y],br[x]-br[y]);

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

void rem(int x){
    br[x]--;
    change(pos[x],-1);

    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]);
        change(pos[y],br[x]-br[y]);

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

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 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 472 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 31 ms 17044 KB Output is correct
5 Correct 66 ms 33808 KB Output is correct
6 Correct 101 ms 50256 KB Output is correct
7 Correct 102 ms 50260 KB Output is correct
8 Correct 109 ms 50512 KB Output is correct
9 Correct 104 ms 50256 KB Output is correct
10 Correct 102 ms 50440 KB Output is correct
11 Correct 101 ms 50260 KB Output is correct
12 Correct 102 ms 50260 KB Output is correct
13 Correct 104 ms 50316 KB Output is correct
14 Correct 103 ms 50316 KB Output is correct
15 Correct 103 ms 50256 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 31 ms 17044 KB Output is correct
5 Correct 66 ms 33808 KB Output is correct
6 Correct 101 ms 50256 KB Output is correct
7 Correct 102 ms 50260 KB Output is correct
8 Correct 109 ms 50512 KB Output is correct
9 Correct 104 ms 50256 KB Output is correct
10 Correct 102 ms 50440 KB Output is correct
11 Correct 101 ms 50260 KB Output is correct
12 Correct 102 ms 50260 KB Output is correct
13 Correct 104 ms 50316 KB Output is correct
14 Correct 103 ms 50316 KB Output is correct
15 Correct 103 ms 50256 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 34 ms 17228 KB Output is correct
20 Correct 70 ms 33900 KB Output is correct
21 Correct 103 ms 50516 KB Output is correct
22 Correct 104 ms 50508 KB Output is correct
23 Correct 106 ms 50512 KB Output is correct
24 Correct 106 ms 50572 KB Output is correct
25 Correct 103 ms 50524 KB Output is correct
26 Correct 104 ms 50380 KB Output is correct
27 Correct 102 ms 50604 KB Output is correct
28 Correct 109 ms 50396 KB Output is correct
29 Correct 113 ms 50512 KB Output is correct
30 Correct 107 ms 50516 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 31 ms 17044 KB Output is correct
5 Correct 66 ms 33808 KB Output is correct
6 Correct 101 ms 50256 KB Output is correct
7 Correct 102 ms 50260 KB Output is correct
8 Correct 109 ms 50512 KB Output is correct
9 Correct 104 ms 50256 KB Output is correct
10 Correct 102 ms 50440 KB Output is correct
11 Correct 101 ms 50260 KB Output is correct
12 Correct 102 ms 50260 KB Output is correct
13 Correct 104 ms 50316 KB Output is correct
14 Correct 103 ms 50316 KB Output is correct
15 Correct 103 ms 50256 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 34 ms 17228 KB Output is correct
20 Correct 70 ms 33900 KB Output is correct
21 Correct 103 ms 50516 KB Output is correct
22 Correct 104 ms 50508 KB Output is correct
23 Correct 106 ms 50512 KB Output is correct
24 Correct 106 ms 50572 KB Output is correct
25 Correct 103 ms 50524 KB Output is correct
26 Correct 104 ms 50380 KB Output is correct
27 Correct 102 ms 50604 KB Output is correct
28 Correct 109 ms 50396 KB Output is correct
29 Correct 113 ms 50512 KB Output is correct
30 Correct 107 ms 50516 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 2140 KB Output is correct
35 Correct 5 ms 2140 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 21 ms 8792 KB Output is correct
38 Correct 23 ms 8792 KB Output is correct
39 Correct 44 ms 17244 KB Output is correct
40 Correct 88 ms 34140 KB Output is correct
41 Correct 135 ms 51024 KB Output is correct
42 Correct 132 ms 51024 KB Output is correct
43 Correct 138 ms 51008 KB Output is correct
44 Correct 135 ms 50896 KB Output is correct
45 Correct 130 ms 50928 KB Output is correct
46 Correct 132 ms 51012 KB Output is correct
47 Correct 132 ms 50772 KB Output is correct
48 Correct 132 ms 50948 KB Output is correct
49 Correct 131 ms 50812 KB Output is correct
50 Correct 132 ms 51028 KB Output is correct
51 Correct 132 ms 51028 KB Output is correct
52 Correct 147 ms 50772 KB Output is correct
53 Correct 129 ms 50772 KB Output is correct
54 Correct 129 ms 50772 KB Output is correct
55 Correct 129 ms 51012 KB Output is correct
56 Correct 132 ms 51024 KB Output is correct
57 Correct 160 ms 51028 KB Output is correct
58 Correct 126 ms 50952 KB Output is correct
59 Correct 131 ms 51024 KB Output is correct
60 Correct 132 ms 51020 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 472 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 3 ms 2140 KB Output is correct
14 Correct 31 ms 17044 KB Output is correct
15 Correct 66 ms 33808 KB Output is correct
16 Correct 101 ms 50256 KB Output is correct
17 Correct 102 ms 50260 KB Output is correct
18 Correct 109 ms 50512 KB Output is correct
19 Correct 104 ms 50256 KB Output is correct
20 Correct 102 ms 50440 KB Output is correct
21 Correct 101 ms 50260 KB Output is correct
22 Correct 102 ms 50260 KB Output is correct
23 Correct 104 ms 50316 KB Output is correct
24 Correct 103 ms 50316 KB Output is correct
25 Correct 103 ms 50256 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2140 KB Output is correct
29 Correct 34 ms 17228 KB Output is correct
30 Correct 70 ms 33900 KB Output is correct
31 Correct 103 ms 50516 KB Output is correct
32 Correct 104 ms 50508 KB Output is correct
33 Correct 106 ms 50512 KB Output is correct
34 Correct 106 ms 50572 KB Output is correct
35 Correct 103 ms 50524 KB Output is correct
36 Correct 104 ms 50380 KB Output is correct
37 Correct 102 ms 50604 KB Output is correct
38 Correct 109 ms 50396 KB Output is correct
39 Correct 113 ms 50512 KB Output is correct
40 Correct 107 ms 50516 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 2140 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 21 ms 8792 KB Output is correct
48 Correct 23 ms 8792 KB Output is correct
49 Correct 44 ms 17244 KB Output is correct
50 Correct 88 ms 34140 KB Output is correct
51 Correct 135 ms 51024 KB Output is correct
52 Correct 132 ms 51024 KB Output is correct
53 Correct 138 ms 51008 KB Output is correct
54 Correct 135 ms 50896 KB Output is correct
55 Correct 130 ms 50928 KB Output is correct
56 Correct 132 ms 51012 KB Output is correct
57 Correct 132 ms 50772 KB Output is correct
58 Correct 132 ms 50948 KB Output is correct
59 Correct 131 ms 50812 KB Output is correct
60 Correct 132 ms 51028 KB Output is correct
61 Correct 132 ms 51028 KB Output is correct
62 Correct 147 ms 50772 KB Output is correct
63 Correct 129 ms 50772 KB Output is correct
64 Correct 129 ms 50772 KB Output is correct
65 Correct 129 ms 51012 KB Output is correct
66 Correct 132 ms 51024 KB Output is correct
67 Correct 160 ms 51028 KB Output is correct
68 Correct 126 ms 50952 KB Output is correct
69 Correct 131 ms 51024 KB Output is correct
70 Correct 132 ms 51020 KB Output is correct
71 Correct 24 ms 9052 KB Output is correct
72 Correct 25 ms 9048 KB Output is correct
73 Correct 25 ms 9052 KB Output is correct
74 Correct 24 ms 9080 KB Output is correct
75 Correct 25 ms 9052 KB Output is correct
76 Correct 55 ms 17676 KB Output is correct
77 Correct 59 ms 17512 KB Output is correct
78 Correct 56 ms 17676 KB Output is correct
79 Correct 59 ms 17748 KB Output is correct
80 Correct 59 ms 17496 KB Output is correct
81 Correct 133 ms 34648 KB Output is correct
82 Correct 132 ms 34640 KB Output is correct
83 Correct 135 ms 34720 KB Output is correct
84 Correct 130 ms 34644 KB Output is correct
85 Correct 129 ms 34860 KB Output is correct
86 Correct 154 ms 35408 KB Output is correct
87 Correct 152 ms 35412 KB Output is correct
88 Correct 170 ms 35412 KB Output is correct
89 Correct 156 ms 35412 KB Output is correct
90 Correct 157 ms 35484 KB Output is correct
91 Correct 340 ms 56224 KB Output is correct
92 Correct 348 ms 56336 KB Output is correct
93 Correct 335 ms 56192 KB Output is correct
94 Correct 321 ms 56240 KB Output is correct
95 Correct 325 ms 56404 KB Output is correct
96 Correct 384 ms 61748 KB Output is correct
97 Correct 413 ms 61628 KB Output is correct
98 Correct 436 ms 61776 KB Output is correct
99 Correct 422 ms 61524 KB Output is correct
100 Correct 424 ms 61520 KB Output is correct
101 Correct 429 ms 61536 KB Output is correct
102 Correct 427 ms 61600 KB Output is correct
103 Correct 459 ms 61552 KB Output is correct
104 Correct 480 ms 61432 KB Output is correct
105 Correct 450 ms 61520 KB Output is correct
106 Correct 485 ms 64188 KB Output is correct
107 Correct 495 ms 64000 KB Output is correct
108 Correct 488 ms 64080 KB Output is correct
109 Correct 472 ms 64004 KB Output is correct
110 Correct 476 ms 64112 KB Output is correct
111 Correct 477 ms 64084 KB Output is correct
112 Correct 510 ms 64084 KB Output is correct
113 Correct 463 ms 64080 KB Output is correct
114 Correct 480 ms 64080 KB Output is correct
115 Correct 500 ms 64184 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 472 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 3 ms 2140 KB Output is correct
14 Correct 31 ms 17044 KB Output is correct
15 Correct 66 ms 33808 KB Output is correct
16 Correct 101 ms 50256 KB Output is correct
17 Correct 102 ms 50260 KB Output is correct
18 Correct 109 ms 50512 KB Output is correct
19 Correct 104 ms 50256 KB Output is correct
20 Correct 102 ms 50440 KB Output is correct
21 Correct 101 ms 50260 KB Output is correct
22 Correct 102 ms 50260 KB Output is correct
23 Correct 104 ms 50316 KB Output is correct
24 Correct 103 ms 50316 KB Output is correct
25 Correct 103 ms 50256 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2140 KB Output is correct
29 Correct 34 ms 17228 KB Output is correct
30 Correct 70 ms 33900 KB Output is correct
31 Correct 103 ms 50516 KB Output is correct
32 Correct 104 ms 50508 KB Output is correct
33 Correct 106 ms 50512 KB Output is correct
34 Correct 106 ms 50572 KB Output is correct
35 Correct 103 ms 50524 KB Output is correct
36 Correct 104 ms 50380 KB Output is correct
37 Correct 102 ms 50604 KB Output is correct
38 Correct 109 ms 50396 KB Output is correct
39 Correct 113 ms 50512 KB Output is correct
40 Correct 107 ms 50516 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 2140 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 21 ms 8792 KB Output is correct
48 Correct 23 ms 8792 KB Output is correct
49 Correct 44 ms 17244 KB Output is correct
50 Correct 88 ms 34140 KB Output is correct
51 Correct 135 ms 51024 KB Output is correct
52 Correct 132 ms 51024 KB Output is correct
53 Correct 138 ms 51008 KB Output is correct
54 Correct 135 ms 50896 KB Output is correct
55 Correct 130 ms 50928 KB Output is correct
56 Correct 132 ms 51012 KB Output is correct
57 Correct 132 ms 50772 KB Output is correct
58 Correct 132 ms 50948 KB Output is correct
59 Correct 131 ms 50812 KB Output is correct
60 Correct 132 ms 51028 KB Output is correct
61 Correct 132 ms 51028 KB Output is correct
62 Correct 147 ms 50772 KB Output is correct
63 Correct 129 ms 50772 KB Output is correct
64 Correct 129 ms 50772 KB Output is correct
65 Correct 129 ms 51012 KB Output is correct
66 Correct 132 ms 51024 KB Output is correct
67 Correct 160 ms 51028 KB Output is correct
68 Correct 126 ms 50952 KB Output is correct
69 Correct 131 ms 51024 KB Output is correct
70 Correct 132 ms 51020 KB Output is correct
71 Correct 24 ms 9052 KB Output is correct
72 Correct 25 ms 9048 KB Output is correct
73 Correct 25 ms 9052 KB Output is correct
74 Correct 24 ms 9080 KB Output is correct
75 Correct 25 ms 9052 KB Output is correct
76 Correct 55 ms 17676 KB Output is correct
77 Correct 59 ms 17512 KB Output is correct
78 Correct 56 ms 17676 KB Output is correct
79 Correct 59 ms 17748 KB Output is correct
80 Correct 59 ms 17496 KB Output is correct
81 Correct 133 ms 34648 KB Output is correct
82 Correct 132 ms 34640 KB Output is correct
83 Correct 135 ms 34720 KB Output is correct
84 Correct 130 ms 34644 KB Output is correct
85 Correct 129 ms 34860 KB Output is correct
86 Correct 154 ms 35408 KB Output is correct
87 Correct 152 ms 35412 KB Output is correct
88 Correct 170 ms 35412 KB Output is correct
89 Correct 156 ms 35412 KB Output is correct
90 Correct 157 ms 35484 KB Output is correct
91 Correct 340 ms 56224 KB Output is correct
92 Correct 348 ms 56336 KB Output is correct
93 Correct 335 ms 56192 KB Output is correct
94 Correct 321 ms 56240 KB Output is correct
95 Correct 325 ms 56404 KB Output is correct
96 Correct 384 ms 61748 KB Output is correct
97 Correct 413 ms 61628 KB Output is correct
98 Correct 436 ms 61776 KB Output is correct
99 Correct 422 ms 61524 KB Output is correct
100 Correct 424 ms 61520 KB Output is correct
101 Correct 429 ms 61536 KB Output is correct
102 Correct 427 ms 61600 KB Output is correct
103 Correct 459 ms 61552 KB Output is correct
104 Correct 480 ms 61432 KB Output is correct
105 Correct 450 ms 61520 KB Output is correct
106 Correct 485 ms 64188 KB Output is correct
107 Correct 495 ms 64000 KB Output is correct
108 Correct 488 ms 64080 KB Output is correct
109 Correct 472 ms 64004 KB Output is correct
110 Correct 476 ms 64112 KB Output is correct
111 Correct 477 ms 64084 KB Output is correct
112 Correct 510 ms 64084 KB Output is correct
113 Correct 463 ms 64080 KB Output is correct
114 Correct 480 ms 64080 KB Output is correct
115 Correct 500 ms 64184 KB Output is correct
116 Correct 1267 ms 3924 KB Output is correct
117 Correct 1476 ms 3924 KB Output is correct
118 Correct 1888 ms 10960 KB Output is correct
119 Correct 2767 ms 10832 KB Output is correct
120 Correct 3188 ms 11084 KB Output is correct
121 Correct 6130 ms 19540 KB Output is correct
122 Execution timed out 7045 ms 18844 KB Time limit exceeded
123 Halted 0 ms 0 KB -