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Submission #1049385

# Submission time Handle Problem Language Result Execution time Memory
1049385 2024-08-08T17:49:12 Z PoonYaPat Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 244708 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;

//sl : increase from l
//sr : increase from r

const int mx=300000,MID=150000,sq=2000;

struct NN {
    ll sum,sl,sr,cnt;
} s[1<<22];

int ccnt[mx+5],posi[mx+5],num[mx+5];

NN merge(NN a, NN b) {
    NN res;
    res.sum=a.sum+b.sum;
    res.cnt=a.cnt+b.cnt;
    res.sl=a.sl+a.cnt*b.sum+b.sl;
    res.sr=b.sr+b.cnt*a.sum+a.sr;
    return res;
}

void update(int l, int r, int idx, int x) {
    if (x>r || x<l) return;
    if (l==r) s[idx]={ccnt[l],ccnt[l],ccnt[l],1};
    else {
        int mid=(l+r)/2;
        update(l,mid,2*idx,x);
        update(mid+1,r,2*idx+1,x);
        s[idx]=merge(s[2*idx],s[2*idx+1]);
    }
}

NN query(int l, int r, int idx, int x, int y) {
    if (x>r || y<l) return {0,0,0,0};
    if (x<=l && r<=y) return s[idx];
    int mid=(l+r)/2;
    return merge(query(l,mid,2*idx,x,y),query(mid+1,r,2*idx+1,x,y));
}

int level[mx+5],have[mx+5],idx_seq=-1; //range of box that has been used
vector<int> seq;
deque<int> dq[mx+5];

ll ans=0;

void sw(int a, int b) {
    swap(num[a],num[b]);
    posi[num[a]]=a;
    posi[num[b]]=b;
}

void add(int val) {

    if (!have[val]) {
        
        ++idx_seq;
        int pos=seq[idx_seq]; //the position of the seg-tree to be added
        ccnt[pos]=1;
        posi[val]=pos;
        num[pos]=val;
        update(1,mx,1,pos);
        dq[1].push_back(pos);
        ans+=query(1,mx,1,1,pos).sr+query(1,mx,1,pos,mx).sl-ccnt[pos];

    } else {

        int pos=posi[val], cnt=ccnt[pos]; //increase from cnt to cnt+1
        int max_pos=dq[cnt].front();
        sw(pos,max_pos);

        //increase from cnt to cnt+1
        dq[cnt].pop_front();
        dq[cnt+1].push_back(max_pos);
        ++ccnt[max_pos];
        update(1,mx,1,max_pos);
        ans+=query(1,mx,1,1,max_pos).sr+query(1,mx,1,max_pos,mx).sl-ccnt[max_pos];
    }

    ++have[val];
}

void del(int val) {

    int pos=posi[val], cnt=ccnt[pos];
    int min_pos=dq[cnt].back();
    sw(pos,min_pos);

    ans-=(query(1,mx,1,1,min_pos).sr+query(1,mx,1,min_pos,mx).sl-ccnt[min_pos]);
    dq[cnt].pop_back();

    if (cnt==1) --idx_seq;
    else dq[cnt-1].push_front(min_pos);

    --ccnt[min_pos];
    update(1,mx,1,min_pos);

    --have[val];
}

int n,q,a[mx+5];

struct Query {
    int l,r,idx;
    bool operator<(Query other) const {
        return pii(l/sq,r)<pii(other.l/sq,other.r);
    }
};

vector<Query> ques;
ll Ans[50005];

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    int ll=MID,rr=MID;
    level[MID]=0;
    seq.push_back(MID);
    for (int i=1; i<mx; ++i) {
        if (i%2==0) level[--ll]=i, seq.push_back(ll);
        else level[++rr]=i, seq.push_back(rr);
    }

    cin>>n>>q;
    for (int i=0; i<n; ++i) cin>>a[i];

    for (int i=0; i<q; ++i) {
        int l,r; cin>>l>>r;
        ques.push_back({--l,--r,i});
    }

    sort(ques.begin(),ques.end());

    int cur_l=0;
    int cur_r=-1;

    for (auto q : ques) {
        while (cur_l>q.l) add(a[--cur_l]);
        while (cur_r<q.r) add(a[++cur_r]);
        while (cur_l<q.l) del(a[cur_l++]);
        while (cur_r>q.r) del(a[cur_r--]);
        Ans[q.idx]=ans;
    }

    for (int i=0; i<q; ++i) cout<<Ans[i]<<"\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 219072 KB Output is correct
2 Correct 75 ms 221124 KB Output is correct
3 Correct 74 ms 221120 KB Output is correct
4 Correct 75 ms 221120 KB Output is correct
5 Correct 90 ms 221016 KB Output is correct
6 Correct 76 ms 221156 KB Output is correct
7 Correct 78 ms 221124 KB Output is correct
8 Correct 73 ms 222148 KB Output is correct
9 Correct 74 ms 221048 KB Output is correct
10 Correct 69 ms 221128 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 221120 KB Output is correct
2 Correct 87 ms 221156 KB Output is correct
3 Correct 76 ms 221232 KB Output is correct
4 Correct 121 ms 221216 KB Output is correct
5 Correct 149 ms 221256 KB Output is correct
6 Correct 191 ms 221120 KB Output is correct
7 Correct 186 ms 221244 KB Output is correct
8 Correct 191 ms 221120 KB Output is correct
9 Correct 224 ms 221120 KB Output is correct
10 Correct 186 ms 221108 KB Output is correct
11 Correct 191 ms 221120 KB Output is correct
12 Correct 193 ms 221048 KB Output is correct
13 Correct 192 ms 221156 KB Output is correct
14 Correct 198 ms 221032 KB Output is correct
15 Correct 193 ms 221124 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 221120 KB Output is correct
2 Correct 87 ms 221156 KB Output is correct
3 Correct 76 ms 221232 KB Output is correct
4 Correct 121 ms 221216 KB Output is correct
5 Correct 149 ms 221256 KB Output is correct
6 Correct 191 ms 221120 KB Output is correct
7 Correct 186 ms 221244 KB Output is correct
8 Correct 191 ms 221120 KB Output is correct
9 Correct 224 ms 221120 KB Output is correct
10 Correct 186 ms 221108 KB Output is correct
11 Correct 191 ms 221120 KB Output is correct
12 Correct 193 ms 221048 KB Output is correct
13 Correct 192 ms 221156 KB Output is correct
14 Correct 198 ms 221032 KB Output is correct
15 Correct 193 ms 221124 KB Output is correct
16 Correct 75 ms 221120 KB Output is correct
17 Correct 76 ms 221120 KB Output is correct
18 Correct 79 ms 221036 KB Output is correct
19 Correct 107 ms 221096 KB Output is correct
20 Correct 156 ms 221124 KB Output is correct
21 Correct 186 ms 221120 KB Output is correct
22 Correct 208 ms 221124 KB Output is correct
23 Correct 208 ms 221212 KB Output is correct
24 Correct 234 ms 221028 KB Output is correct
25 Correct 190 ms 221124 KB Output is correct
26 Correct 200 ms 221292 KB Output is correct
27 Correct 194 ms 221124 KB Output is correct
28 Correct 196 ms 221120 KB Output is correct
29 Correct 209 ms 221216 KB Output is correct
30 Correct 202 ms 221128 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 221120 KB Output is correct
2 Correct 87 ms 221156 KB Output is correct
3 Correct 76 ms 221232 KB Output is correct
4 Correct 121 ms 221216 KB Output is correct
5 Correct 149 ms 221256 KB Output is correct
6 Correct 191 ms 221120 KB Output is correct
7 Correct 186 ms 221244 KB Output is correct
8 Correct 191 ms 221120 KB Output is correct
9 Correct 224 ms 221120 KB Output is correct
10 Correct 186 ms 221108 KB Output is correct
11 Correct 191 ms 221120 KB Output is correct
12 Correct 193 ms 221048 KB Output is correct
13 Correct 192 ms 221156 KB Output is correct
14 Correct 198 ms 221032 KB Output is correct
15 Correct 193 ms 221124 KB Output is correct
16 Correct 75 ms 221120 KB Output is correct
17 Correct 76 ms 221120 KB Output is correct
18 Correct 79 ms 221036 KB Output is correct
19 Correct 107 ms 221096 KB Output is correct
20 Correct 156 ms 221124 KB Output is correct
21 Correct 186 ms 221120 KB Output is correct
22 Correct 208 ms 221124 KB Output is correct
23 Correct 208 ms 221212 KB Output is correct
24 Correct 234 ms 221028 KB Output is correct
25 Correct 190 ms 221124 KB Output is correct
26 Correct 200 ms 221292 KB Output is correct
27 Correct 194 ms 221124 KB Output is correct
28 Correct 196 ms 221120 KB Output is correct
29 Correct 209 ms 221216 KB Output is correct
30 Correct 202 ms 221128 KB Output is correct
31 Correct 76 ms 221124 KB Output is correct
32 Correct 86 ms 221124 KB Output is correct
33 Correct 88 ms 221200 KB Output is correct
34 Correct 83 ms 221052 KB Output is correct
35 Correct 72 ms 221200 KB Output is correct
36 Correct 81 ms 221092 KB Output is correct
37 Correct 104 ms 221108 KB Output is correct
38 Correct 108 ms 221124 KB Output is correct
39 Correct 132 ms 221024 KB Output is correct
40 Correct 176 ms 221200 KB Output is correct
41 Correct 235 ms 221088 KB Output is correct
42 Correct 232 ms 221124 KB Output is correct
43 Correct 225 ms 221124 KB Output is correct
44 Correct 229 ms 221200 KB Output is correct
45 Correct 220 ms 221080 KB Output is correct
46 Correct 228 ms 221080 KB Output is correct
47 Correct 219 ms 221120 KB Output is correct
48 Correct 223 ms 221128 KB Output is correct
49 Correct 242 ms 221124 KB Output is correct
50 Correct 221 ms 221120 KB Output is correct
51 Correct 224 ms 221124 KB Output is correct
52 Correct 234 ms 221124 KB Output is correct
53 Correct 219 ms 221120 KB Output is correct
54 Correct 223 ms 221120 KB Output is correct
55 Correct 219 ms 221120 KB Output is correct
56 Correct 225 ms 221120 KB Output is correct
57 Correct 210 ms 221168 KB Output is correct
58 Correct 223 ms 221892 KB Output is correct
59 Correct 212 ms 221192 KB Output is correct
60 Correct 224 ms 221376 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 219072 KB Output is correct
2 Correct 75 ms 221124 KB Output is correct
3 Correct 74 ms 221120 KB Output is correct
4 Correct 75 ms 221120 KB Output is correct
5 Correct 90 ms 221016 KB Output is correct
6 Correct 76 ms 221156 KB Output is correct
7 Correct 78 ms 221124 KB Output is correct
8 Correct 73 ms 222148 KB Output is correct
9 Correct 74 ms 221048 KB Output is correct
10 Correct 69 ms 221128 KB Output is correct
11 Correct 75 ms 221120 KB Output is correct
12 Correct 87 ms 221156 KB Output is correct
13 Correct 76 ms 221232 KB Output is correct
14 Correct 121 ms 221216 KB Output is correct
15 Correct 149 ms 221256 KB Output is correct
16 Correct 191 ms 221120 KB Output is correct
17 Correct 186 ms 221244 KB Output is correct
18 Correct 191 ms 221120 KB Output is correct
19 Correct 224 ms 221120 KB Output is correct
20 Correct 186 ms 221108 KB Output is correct
21 Correct 191 ms 221120 KB Output is correct
22 Correct 193 ms 221048 KB Output is correct
23 Correct 192 ms 221156 KB Output is correct
24 Correct 198 ms 221032 KB Output is correct
25 Correct 193 ms 221124 KB Output is correct
26 Correct 75 ms 221120 KB Output is correct
27 Correct 76 ms 221120 KB Output is correct
28 Correct 79 ms 221036 KB Output is correct
29 Correct 107 ms 221096 KB Output is correct
30 Correct 156 ms 221124 KB Output is correct
31 Correct 186 ms 221120 KB Output is correct
32 Correct 208 ms 221124 KB Output is correct
33 Correct 208 ms 221212 KB Output is correct
34 Correct 234 ms 221028 KB Output is correct
35 Correct 190 ms 221124 KB Output is correct
36 Correct 200 ms 221292 KB Output is correct
37 Correct 194 ms 221124 KB Output is correct
38 Correct 196 ms 221120 KB Output is correct
39 Correct 209 ms 221216 KB Output is correct
40 Correct 202 ms 221128 KB Output is correct
41 Correct 76 ms 221124 KB Output is correct
42 Correct 86 ms 221124 KB Output is correct
43 Correct 88 ms 221200 KB Output is correct
44 Correct 83 ms 221052 KB Output is correct
45 Correct 72 ms 221200 KB Output is correct
46 Correct 81 ms 221092 KB Output is correct
47 Correct 104 ms 221108 KB Output is correct
48 Correct 108 ms 221124 KB Output is correct
49 Correct 132 ms 221024 KB Output is correct
50 Correct 176 ms 221200 KB Output is correct
51 Correct 235 ms 221088 KB Output is correct
52 Correct 232 ms 221124 KB Output is correct
53 Correct 225 ms 221124 KB Output is correct
54 Correct 229 ms 221200 KB Output is correct
55 Correct 220 ms 221080 KB Output is correct
56 Correct 228 ms 221080 KB Output is correct
57 Correct 219 ms 221120 KB Output is correct
58 Correct 223 ms 221128 KB Output is correct
59 Correct 242 ms 221124 KB Output is correct
60 Correct 221 ms 221120 KB Output is correct
61 Correct 224 ms 221124 KB Output is correct
62 Correct 234 ms 221124 KB Output is correct
63 Correct 219 ms 221120 KB Output is correct
64 Correct 223 ms 221120 KB Output is correct
65 Correct 219 ms 221120 KB Output is correct
66 Correct 225 ms 221120 KB Output is correct
67 Correct 210 ms 221168 KB Output is correct
68 Correct 223 ms 221892 KB Output is correct
69 Correct 212 ms 221192 KB Output is correct
70 Correct 224 ms 221376 KB Output is correct
71 Correct 108 ms 223172 KB Output is correct
72 Correct 110 ms 223072 KB Output is correct
73 Correct 101 ms 223268 KB Output is correct
74 Correct 106 ms 223168 KB Output is correct
75 Correct 111 ms 223296 KB Output is correct
76 Correct 127 ms 225160 KB Output is correct
77 Correct 133 ms 225220 KB Output is correct
78 Correct 133 ms 225240 KB Output is correct
79 Correct 136 ms 225220 KB Output is correct
80 Correct 130 ms 225216 KB Output is correct
81 Correct 184 ms 227264 KB Output is correct
82 Correct 176 ms 227424 KB Output is correct
83 Correct 179 ms 227268 KB Output is correct
84 Correct 183 ms 227268 KB Output is correct
85 Correct 180 ms 227376 KB Output is correct
86 Correct 172 ms 227264 KB Output is correct
87 Correct 165 ms 227396 KB Output is correct
88 Correct 230 ms 227196 KB Output is correct
89 Correct 164 ms 227272 KB Output is correct
90 Correct 174 ms 227204 KB Output is correct
91 Correct 242 ms 231888 KB Output is correct
92 Correct 246 ms 231892 KB Output is correct
93 Correct 227 ms 231756 KB Output is correct
94 Correct 229 ms 231616 KB Output is correct
95 Correct 224 ms 231612 KB Output is correct
96 Correct 230 ms 240320 KB Output is correct
97 Correct 235 ms 240320 KB Output is correct
98 Correct 227 ms 240444 KB Output is correct
99 Correct 216 ms 240320 KB Output is correct
100 Correct 243 ms 240224 KB Output is correct
101 Correct 220 ms 240316 KB Output is correct
102 Correct 229 ms 240384 KB Output is correct
103 Correct 227 ms 240320 KB Output is correct
104 Correct 213 ms 240188 KB Output is correct
105 Correct 234 ms 240380 KB Output is correct
106 Correct 220 ms 244708 KB Output is correct
107 Correct 230 ms 244668 KB Output is correct
108 Correct 226 ms 244692 KB Output is correct
109 Correct 223 ms 244588 KB Output is correct
110 Correct 232 ms 244544 KB Output is correct
111 Correct 224 ms 244668 KB Output is correct
112 Correct 225 ms 244668 KB Output is correct
113 Correct 223 ms 244672 KB Output is correct
114 Correct 223 ms 244672 KB Output is correct
115 Correct 224 ms 244548 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 219072 KB Output is correct
2 Correct 75 ms 221124 KB Output is correct
3 Correct 74 ms 221120 KB Output is correct
4 Correct 75 ms 221120 KB Output is correct
5 Correct 90 ms 221016 KB Output is correct
6 Correct 76 ms 221156 KB Output is correct
7 Correct 78 ms 221124 KB Output is correct
8 Correct 73 ms 222148 KB Output is correct
9 Correct 74 ms 221048 KB Output is correct
10 Correct 69 ms 221128 KB Output is correct
11 Correct 75 ms 221120 KB Output is correct
12 Correct 87 ms 221156 KB Output is correct
13 Correct 76 ms 221232 KB Output is correct
14 Correct 121 ms 221216 KB Output is correct
15 Correct 149 ms 221256 KB Output is correct
16 Correct 191 ms 221120 KB Output is correct
17 Correct 186 ms 221244 KB Output is correct
18 Correct 191 ms 221120 KB Output is correct
19 Correct 224 ms 221120 KB Output is correct
20 Correct 186 ms 221108 KB Output is correct
21 Correct 191 ms 221120 KB Output is correct
22 Correct 193 ms 221048 KB Output is correct
23 Correct 192 ms 221156 KB Output is correct
24 Correct 198 ms 221032 KB Output is correct
25 Correct 193 ms 221124 KB Output is correct
26 Correct 75 ms 221120 KB Output is correct
27 Correct 76 ms 221120 KB Output is correct
28 Correct 79 ms 221036 KB Output is correct
29 Correct 107 ms 221096 KB Output is correct
30 Correct 156 ms 221124 KB Output is correct
31 Correct 186 ms 221120 KB Output is correct
32 Correct 208 ms 221124 KB Output is correct
33 Correct 208 ms 221212 KB Output is correct
34 Correct 234 ms 221028 KB Output is correct
35 Correct 190 ms 221124 KB Output is correct
36 Correct 200 ms 221292 KB Output is correct
37 Correct 194 ms 221124 KB Output is correct
38 Correct 196 ms 221120 KB Output is correct
39 Correct 209 ms 221216 KB Output is correct
40 Correct 202 ms 221128 KB Output is correct
41 Correct 76 ms 221124 KB Output is correct
42 Correct 86 ms 221124 KB Output is correct
43 Correct 88 ms 221200 KB Output is correct
44 Correct 83 ms 221052 KB Output is correct
45 Correct 72 ms 221200 KB Output is correct
46 Correct 81 ms 221092 KB Output is correct
47 Correct 104 ms 221108 KB Output is correct
48 Correct 108 ms 221124 KB Output is correct
49 Correct 132 ms 221024 KB Output is correct
50 Correct 176 ms 221200 KB Output is correct
51 Correct 235 ms 221088 KB Output is correct
52 Correct 232 ms 221124 KB Output is correct
53 Correct 225 ms 221124 KB Output is correct
54 Correct 229 ms 221200 KB Output is correct
55 Correct 220 ms 221080 KB Output is correct
56 Correct 228 ms 221080 KB Output is correct
57 Correct 219 ms 221120 KB Output is correct
58 Correct 223 ms 221128 KB Output is correct
59 Correct 242 ms 221124 KB Output is correct
60 Correct 221 ms 221120 KB Output is correct
61 Correct 224 ms 221124 KB Output is correct
62 Correct 234 ms 221124 KB Output is correct
63 Correct 219 ms 221120 KB Output is correct
64 Correct 223 ms 221120 KB Output is correct
65 Correct 219 ms 221120 KB Output is correct
66 Correct 225 ms 221120 KB Output is correct
67 Correct 210 ms 221168 KB Output is correct
68 Correct 223 ms 221892 KB Output is correct
69 Correct 212 ms 221192 KB Output is correct
70 Correct 224 ms 221376 KB Output is correct
71 Correct 108 ms 223172 KB Output is correct
72 Correct 110 ms 223072 KB Output is correct
73 Correct 101 ms 223268 KB Output is correct
74 Correct 106 ms 223168 KB Output is correct
75 Correct 111 ms 223296 KB Output is correct
76 Correct 127 ms 225160 KB Output is correct
77 Correct 133 ms 225220 KB Output is correct
78 Correct 133 ms 225240 KB Output is correct
79 Correct 136 ms 225220 KB Output is correct
80 Correct 130 ms 225216 KB Output is correct
81 Correct 184 ms 227264 KB Output is correct
82 Correct 176 ms 227424 KB Output is correct
83 Correct 179 ms 227268 KB Output is correct
84 Correct 183 ms 227268 KB Output is correct
85 Correct 180 ms 227376 KB Output is correct
86 Correct 172 ms 227264 KB Output is correct
87 Correct 165 ms 227396 KB Output is correct
88 Correct 230 ms 227196 KB Output is correct
89 Correct 164 ms 227272 KB Output is correct
90 Correct 174 ms 227204 KB Output is correct
91 Correct 242 ms 231888 KB Output is correct
92 Correct 246 ms 231892 KB Output is correct
93 Correct 227 ms 231756 KB Output is correct
94 Correct 229 ms 231616 KB Output is correct
95 Correct 224 ms 231612 KB Output is correct
96 Correct 230 ms 240320 KB Output is correct
97 Correct 235 ms 240320 KB Output is correct
98 Correct 227 ms 240444 KB Output is correct
99 Correct 216 ms 240320 KB Output is correct
100 Correct 243 ms 240224 KB Output is correct
101 Correct 220 ms 240316 KB Output is correct
102 Correct 229 ms 240384 KB Output is correct
103 Correct 227 ms 240320 KB Output is correct
104 Correct 213 ms 240188 KB Output is correct
105 Correct 234 ms 240380 KB Output is correct
106 Correct 220 ms 244708 KB Output is correct
107 Correct 230 ms 244668 KB Output is correct
108 Correct 226 ms 244692 KB Output is correct
109 Correct 223 ms 244588 KB Output is correct
110 Correct 232 ms 244544 KB Output is correct
111 Correct 224 ms 244668 KB Output is correct
112 Correct 225 ms 244668 KB Output is correct
113 Correct 223 ms 244672 KB Output is correct
114 Correct 223 ms 244672 KB Output is correct
115 Correct 224 ms 244548 KB Output is correct
116 Execution timed out 7031 ms 222492 KB Time limit exceeded
117 Halted 0 ms 0 KB -