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Submission #1097553

# Submission time Handle Problem Language Result Execution time Memory
1097553 2024-10-07T14:50:38 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64424 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){
    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];
    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];
    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 0 ms 348 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 1 ms 348 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 856 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 27 ms 17000 KB Output is correct
5 Correct 54 ms 33368 KB Output is correct
6 Correct 85 ms 49816 KB Output is correct
7 Correct 84 ms 49744 KB Output is correct
8 Correct 88 ms 49800 KB Output is correct
9 Correct 84 ms 49744 KB Output is correct
10 Correct 86 ms 49756 KB Output is correct
11 Correct 90 ms 49756 KB Output is correct
12 Correct 84 ms 49668 KB Output is correct
13 Correct 87 ms 49748 KB Output is correct
14 Correct 86 ms 49768 KB Output is correct
15 Correct 85 ms 49744 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 856 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 27 ms 17000 KB Output is correct
5 Correct 54 ms 33368 KB Output is correct
6 Correct 85 ms 49816 KB Output is correct
7 Correct 84 ms 49744 KB Output is correct
8 Correct 88 ms 49800 KB Output is correct
9 Correct 84 ms 49744 KB Output is correct
10 Correct 86 ms 49756 KB Output is correct
11 Correct 90 ms 49756 KB Output is correct
12 Correct 84 ms 49668 KB Output is correct
13 Correct 87 ms 49748 KB Output is correct
14 Correct 86 ms 49768 KB Output is correct
15 Correct 85 ms 49744 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 2140 KB Output is correct
19 Correct 29 ms 16916 KB Output is correct
20 Correct 58 ms 33372 KB Output is correct
21 Correct 101 ms 49748 KB Output is correct
22 Correct 96 ms 49756 KB Output is correct
23 Correct 96 ms 49756 KB Output is correct
24 Correct 99 ms 49768 KB Output is correct
25 Correct 94 ms 49748 KB Output is correct
26 Correct 101 ms 49740 KB Output is correct
27 Correct 98 ms 49744 KB Output is correct
28 Correct 97 ms 49756 KB Output is correct
29 Correct 94 ms 49616 KB Output is correct
30 Correct 93 ms 49780 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 856 KB Output is correct
3 Correct 3 ms 2140 KB Output is correct
4 Correct 27 ms 17000 KB Output is correct
5 Correct 54 ms 33368 KB Output is correct
6 Correct 85 ms 49816 KB Output is correct
7 Correct 84 ms 49744 KB Output is correct
8 Correct 88 ms 49800 KB Output is correct
9 Correct 84 ms 49744 KB Output is correct
10 Correct 86 ms 49756 KB Output is correct
11 Correct 90 ms 49756 KB Output is correct
12 Correct 84 ms 49668 KB Output is correct
13 Correct 87 ms 49748 KB Output is correct
14 Correct 86 ms 49768 KB Output is correct
15 Correct 85 ms 49744 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 2140 KB Output is correct
19 Correct 29 ms 16916 KB Output is correct
20 Correct 58 ms 33372 KB Output is correct
21 Correct 101 ms 49748 KB Output is correct
22 Correct 96 ms 49756 KB Output is correct
23 Correct 96 ms 49756 KB Output is correct
24 Correct 99 ms 49768 KB Output is correct
25 Correct 94 ms 49748 KB Output is correct
26 Correct 101 ms 49740 KB Output is correct
27 Correct 98 ms 49744 KB Output is correct
28 Correct 97 ms 49756 KB Output is correct
29 Correct 94 ms 49616 KB Output is correct
30 Correct 93 ms 49780 KB Output is correct
31 Correct 1 ms 600 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 4 ms 2092 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 18 ms 8796 KB Output is correct
38 Correct 18 ms 8792 KB Output is correct
39 Correct 35 ms 16988 KB Output is correct
40 Correct 78 ms 33360 KB Output is correct
41 Correct 107 ms 49860 KB Output is correct
42 Correct 115 ms 49780 KB Output is correct
43 Correct 105 ms 49848 KB Output is correct
44 Correct 109 ms 49780 KB Output is correct
45 Correct 106 ms 49748 KB Output is correct
46 Correct 106 ms 49756 KB Output is correct
47 Correct 118 ms 49656 KB Output is correct
48 Correct 105 ms 49788 KB Output is correct
49 Correct 106 ms 49756 KB Output is correct
50 Correct 105 ms 49756 KB Output is correct
51 Correct 109 ms 49784 KB Output is correct
52 Correct 108 ms 49748 KB Output is correct
53 Correct 106 ms 49800 KB Output is correct
54 Correct 106 ms 49756 KB Output is correct
55 Correct 137 ms 49784 KB Output is correct
56 Correct 111 ms 49884 KB Output is correct
57 Correct 111 ms 49748 KB Output is correct
58 Correct 113 ms 49748 KB Output is correct
59 Correct 118 ms 49680 KB Output is correct
60 Correct 116 ms 49864 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 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 856 KB Output is correct
13 Correct 3 ms 2140 KB Output is correct
14 Correct 27 ms 17000 KB Output is correct
15 Correct 54 ms 33368 KB Output is correct
16 Correct 85 ms 49816 KB Output is correct
17 Correct 84 ms 49744 KB Output is correct
18 Correct 88 ms 49800 KB Output is correct
19 Correct 84 ms 49744 KB Output is correct
20 Correct 86 ms 49756 KB Output is correct
21 Correct 90 ms 49756 KB Output is correct
22 Correct 84 ms 49668 KB Output is correct
23 Correct 87 ms 49748 KB Output is correct
24 Correct 86 ms 49768 KB Output is correct
25 Correct 85 ms 49744 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 2140 KB Output is correct
29 Correct 29 ms 16916 KB Output is correct
30 Correct 58 ms 33372 KB Output is correct
31 Correct 101 ms 49748 KB Output is correct
32 Correct 96 ms 49756 KB Output is correct
33 Correct 96 ms 49756 KB Output is correct
34 Correct 99 ms 49768 KB Output is correct
35 Correct 94 ms 49748 KB Output is correct
36 Correct 101 ms 49740 KB Output is correct
37 Correct 98 ms 49744 KB Output is correct
38 Correct 97 ms 49756 KB Output is correct
39 Correct 94 ms 49616 KB Output is correct
40 Correct 93 ms 49780 KB Output is correct
41 Correct 1 ms 600 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 4 ms 2092 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 18 ms 8796 KB Output is correct
48 Correct 18 ms 8792 KB Output is correct
49 Correct 35 ms 16988 KB Output is correct
50 Correct 78 ms 33360 KB Output is correct
51 Correct 107 ms 49860 KB Output is correct
52 Correct 115 ms 49780 KB Output is correct
53 Correct 105 ms 49848 KB Output is correct
54 Correct 109 ms 49780 KB Output is correct
55 Correct 106 ms 49748 KB Output is correct
56 Correct 106 ms 49756 KB Output is correct
57 Correct 118 ms 49656 KB Output is correct
58 Correct 105 ms 49788 KB Output is correct
59 Correct 106 ms 49756 KB Output is correct
60 Correct 105 ms 49756 KB Output is correct
61 Correct 109 ms 49784 KB Output is correct
62 Correct 108 ms 49748 KB Output is correct
63 Correct 106 ms 49800 KB Output is correct
64 Correct 106 ms 49756 KB Output is correct
65 Correct 137 ms 49784 KB Output is correct
66 Correct 111 ms 49884 KB Output is correct
67 Correct 111 ms 49748 KB Output is correct
68 Correct 113 ms 49748 KB Output is correct
69 Correct 118 ms 49680 KB Output is correct
70 Correct 116 ms 49864 KB Output is correct
71 Correct 21 ms 8796 KB Output is correct
72 Correct 20 ms 8796 KB Output is correct
73 Correct 20 ms 8792 KB Output is correct
74 Correct 20 ms 8732 KB Output is correct
75 Correct 20 ms 8792 KB Output is correct
76 Correct 44 ms 16988 KB Output is correct
77 Correct 45 ms 17232 KB Output is correct
78 Correct 46 ms 16984 KB Output is correct
79 Correct 47 ms 16988 KB Output is correct
80 Correct 42 ms 16988 KB Output is correct
81 Correct 101 ms 33876 KB Output is correct
82 Correct 103 ms 33876 KB Output is correct
83 Correct 98 ms 33668 KB Output is correct
84 Correct 93 ms 33872 KB Output is correct
85 Correct 93 ms 33712 KB Output is correct
86 Correct 112 ms 34384 KB Output is correct
87 Correct 106 ms 34388 KB Output is correct
88 Correct 109 ms 34388 KB Output is correct
89 Correct 107 ms 34388 KB Output is correct
90 Correct 106 ms 34384 KB Output is correct
91 Correct 238 ms 54760 KB Output is correct
92 Correct 240 ms 54900 KB Output is correct
93 Correct 229 ms 54864 KB Output is correct
94 Correct 257 ms 54860 KB Output is correct
95 Correct 246 ms 54664 KB Output is correct
96 Correct 293 ms 59816 KB Output is correct
97 Correct 292 ms 61676 KB Output is correct
98 Correct 298 ms 61676 KB Output is correct
99 Correct 282 ms 61776 KB Output is correct
100 Correct 288 ms 61780 KB Output is correct
101 Correct 304 ms 61772 KB Output is correct
102 Correct 290 ms 61780 KB Output is correct
103 Correct 299 ms 61796 KB Output is correct
104 Correct 285 ms 61780 KB Output is correct
105 Correct 276 ms 61776 KB Output is correct
106 Correct 290 ms 64340 KB Output is correct
107 Correct 283 ms 64336 KB Output is correct
108 Correct 290 ms 64340 KB Output is correct
109 Correct 286 ms 64340 KB Output is correct
110 Correct 322 ms 64340 KB Output is correct
111 Correct 312 ms 64352 KB Output is correct
112 Correct 315 ms 64340 KB Output is correct
113 Correct 322 ms 64424 KB Output is correct
114 Correct 308 ms 64336 KB Output is correct
115 Correct 319 ms 64340 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 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 856 KB Output is correct
13 Correct 3 ms 2140 KB Output is correct
14 Correct 27 ms 17000 KB Output is correct
15 Correct 54 ms 33368 KB Output is correct
16 Correct 85 ms 49816 KB Output is correct
17 Correct 84 ms 49744 KB Output is correct
18 Correct 88 ms 49800 KB Output is correct
19 Correct 84 ms 49744 KB Output is correct
20 Correct 86 ms 49756 KB Output is correct
21 Correct 90 ms 49756 KB Output is correct
22 Correct 84 ms 49668 KB Output is correct
23 Correct 87 ms 49748 KB Output is correct
24 Correct 86 ms 49768 KB Output is correct
25 Correct 85 ms 49744 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 2140 KB Output is correct
29 Correct 29 ms 16916 KB Output is correct
30 Correct 58 ms 33372 KB Output is correct
31 Correct 101 ms 49748 KB Output is correct
32 Correct 96 ms 49756 KB Output is correct
33 Correct 96 ms 49756 KB Output is correct
34 Correct 99 ms 49768 KB Output is correct
35 Correct 94 ms 49748 KB Output is correct
36 Correct 101 ms 49740 KB Output is correct
37 Correct 98 ms 49744 KB Output is correct
38 Correct 97 ms 49756 KB Output is correct
39 Correct 94 ms 49616 KB Output is correct
40 Correct 93 ms 49780 KB Output is correct
41 Correct 1 ms 600 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 4 ms 2092 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 18 ms 8796 KB Output is correct
48 Correct 18 ms 8792 KB Output is correct
49 Correct 35 ms 16988 KB Output is correct
50 Correct 78 ms 33360 KB Output is correct
51 Correct 107 ms 49860 KB Output is correct
52 Correct 115 ms 49780 KB Output is correct
53 Correct 105 ms 49848 KB Output is correct
54 Correct 109 ms 49780 KB Output is correct
55 Correct 106 ms 49748 KB Output is correct
56 Correct 106 ms 49756 KB Output is correct
57 Correct 118 ms 49656 KB Output is correct
58 Correct 105 ms 49788 KB Output is correct
59 Correct 106 ms 49756 KB Output is correct
60 Correct 105 ms 49756 KB Output is correct
61 Correct 109 ms 49784 KB Output is correct
62 Correct 108 ms 49748 KB Output is correct
63 Correct 106 ms 49800 KB Output is correct
64 Correct 106 ms 49756 KB Output is correct
65 Correct 137 ms 49784 KB Output is correct
66 Correct 111 ms 49884 KB Output is correct
67 Correct 111 ms 49748 KB Output is correct
68 Correct 113 ms 49748 KB Output is correct
69 Correct 118 ms 49680 KB Output is correct
70 Correct 116 ms 49864 KB Output is correct
71 Correct 21 ms 8796 KB Output is correct
72 Correct 20 ms 8796 KB Output is correct
73 Correct 20 ms 8792 KB Output is correct
74 Correct 20 ms 8732 KB Output is correct
75 Correct 20 ms 8792 KB Output is correct
76 Correct 44 ms 16988 KB Output is correct
77 Correct 45 ms 17232 KB Output is correct
78 Correct 46 ms 16984 KB Output is correct
79 Correct 47 ms 16988 KB Output is correct
80 Correct 42 ms 16988 KB Output is correct
81 Correct 101 ms 33876 KB Output is correct
82 Correct 103 ms 33876 KB Output is correct
83 Correct 98 ms 33668 KB Output is correct
84 Correct 93 ms 33872 KB Output is correct
85 Correct 93 ms 33712 KB Output is correct
86 Correct 112 ms 34384 KB Output is correct
87 Correct 106 ms 34388 KB Output is correct
88 Correct 109 ms 34388 KB Output is correct
89 Correct 107 ms 34388 KB Output is correct
90 Correct 106 ms 34384 KB Output is correct
91 Correct 238 ms 54760 KB Output is correct
92 Correct 240 ms 54900 KB Output is correct
93 Correct 229 ms 54864 KB Output is correct
94 Correct 257 ms 54860 KB Output is correct
95 Correct 246 ms 54664 KB Output is correct
96 Correct 293 ms 59816 KB Output is correct
97 Correct 292 ms 61676 KB Output is correct
98 Correct 298 ms 61676 KB Output is correct
99 Correct 282 ms 61776 KB Output is correct
100 Correct 288 ms 61780 KB Output is correct
101 Correct 304 ms 61772 KB Output is correct
102 Correct 290 ms 61780 KB Output is correct
103 Correct 299 ms 61796 KB Output is correct
104 Correct 285 ms 61780 KB Output is correct
105 Correct 276 ms 61776 KB Output is correct
106 Correct 290 ms 64340 KB Output is correct
107 Correct 283 ms 64336 KB Output is correct
108 Correct 290 ms 64340 KB Output is correct
109 Correct 286 ms 64340 KB Output is correct
110 Correct 322 ms 64340 KB Output is correct
111 Correct 312 ms 64352 KB Output is correct
112 Correct 315 ms 64340 KB Output is correct
113 Correct 322 ms 64424 KB Output is correct
114 Correct 308 ms 64336 KB Output is correct
115 Correct 319 ms 64340 KB Output is correct
116 Correct 887 ms 3924 KB Output is correct
117 Correct 983 ms 3920 KB Output is correct
118 Correct 1470 ms 10956 KB Output is correct
119 Correct 1873 ms 11016 KB Output is correct
120 Correct 2057 ms 11048 KB Output is correct
121 Correct 4366 ms 19472 KB Output is correct
122 Correct 5120 ms 19536 KB Output is correct
123 Execution timed out 7055 ms 35664 KB Time limit exceeded
124 Halted 0 ms 0 KB -