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Submission #1049464

# Submission time Handle Problem Language Result Execution time Memory
1049464 2024-08-08T19:10:36 Z PoonYaPat Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 244748 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=1350;

struct NN {
    ll sum,sl,sr,cnt;
} s[1<<21];

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]);
    }
}

ll fast_query(int l, int r, int idx, int x) {
    if (x>r) return s[idx].sr+s[idx].sum*(ll)(x-r);
    if (x<l) return s[idx].sl+s[idx].sum*(ll)(l-x);
    if (l==r) return s[idx].sum;
    int mid=(l+r)/2;
    return fast_query(l,mid,2*idx,x)+fast_query(mid+1,r,2*idx+1,x);
}

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+=fast_query(1,mx,1,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+=fast_query(1,mx,1,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-=fast_query(1,mx,1,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,((l/sq)&1) ? -r : +r)<pii(other.l/sq,((other.l/sq)&1) ? -other.r : +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 65 ms 219076 KB Output is correct
2 Correct 71 ms 221124 KB Output is correct
3 Correct 70 ms 221124 KB Output is correct
4 Correct 78 ms 221120 KB Output is correct
5 Correct 72 ms 221120 KB Output is correct
6 Correct 72 ms 221120 KB Output is correct
7 Correct 73 ms 221120 KB Output is correct
8 Correct 71 ms 221120 KB Output is correct
9 Correct 78 ms 221164 KB Output is correct
10 Correct 70 ms 221152 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 221124 KB Output is correct
2 Correct 73 ms 221124 KB Output is correct
3 Correct 75 ms 221120 KB Output is correct
4 Correct 94 ms 221120 KB Output is correct
5 Correct 115 ms 221260 KB Output is correct
6 Correct 137 ms 221220 KB Output is correct
7 Correct 141 ms 221120 KB Output is correct
8 Correct 139 ms 221096 KB Output is correct
9 Correct 141 ms 221120 KB Output is correct
10 Correct 150 ms 221124 KB Output is correct
11 Correct 142 ms 221152 KB Output is correct
12 Correct 135 ms 221124 KB Output is correct
13 Correct 142 ms 221128 KB Output is correct
14 Correct 148 ms 221256 KB Output is correct
15 Correct 142 ms 221124 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 221124 KB Output is correct
2 Correct 73 ms 221124 KB Output is correct
3 Correct 75 ms 221120 KB Output is correct
4 Correct 94 ms 221120 KB Output is correct
5 Correct 115 ms 221260 KB Output is correct
6 Correct 137 ms 221220 KB Output is correct
7 Correct 141 ms 221120 KB Output is correct
8 Correct 139 ms 221096 KB Output is correct
9 Correct 141 ms 221120 KB Output is correct
10 Correct 150 ms 221124 KB Output is correct
11 Correct 142 ms 221152 KB Output is correct
12 Correct 135 ms 221124 KB Output is correct
13 Correct 142 ms 221128 KB Output is correct
14 Correct 148 ms 221256 KB Output is correct
15 Correct 142 ms 221124 KB Output is correct
16 Correct 76 ms 221124 KB Output is correct
17 Correct 71 ms 221080 KB Output is correct
18 Correct 72 ms 221124 KB Output is correct
19 Correct 98 ms 221100 KB Output is correct
20 Correct 117 ms 221120 KB Output is correct
21 Correct 142 ms 221240 KB Output is correct
22 Correct 143 ms 221124 KB Output is correct
23 Correct 145 ms 221048 KB Output is correct
24 Correct 153 ms 221068 KB Output is correct
25 Correct 145 ms 221132 KB Output is correct
26 Correct 145 ms 221124 KB Output is correct
27 Correct 139 ms 221072 KB Output is correct
28 Correct 152 ms 221124 KB Output is correct
29 Correct 142 ms 221120 KB Output is correct
30 Correct 136 ms 221088 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 221124 KB Output is correct
2 Correct 73 ms 221124 KB Output is correct
3 Correct 75 ms 221120 KB Output is correct
4 Correct 94 ms 221120 KB Output is correct
5 Correct 115 ms 221260 KB Output is correct
6 Correct 137 ms 221220 KB Output is correct
7 Correct 141 ms 221120 KB Output is correct
8 Correct 139 ms 221096 KB Output is correct
9 Correct 141 ms 221120 KB Output is correct
10 Correct 150 ms 221124 KB Output is correct
11 Correct 142 ms 221152 KB Output is correct
12 Correct 135 ms 221124 KB Output is correct
13 Correct 142 ms 221128 KB Output is correct
14 Correct 148 ms 221256 KB Output is correct
15 Correct 142 ms 221124 KB Output is correct
16 Correct 76 ms 221124 KB Output is correct
17 Correct 71 ms 221080 KB Output is correct
18 Correct 72 ms 221124 KB Output is correct
19 Correct 98 ms 221100 KB Output is correct
20 Correct 117 ms 221120 KB Output is correct
21 Correct 142 ms 221240 KB Output is correct
22 Correct 143 ms 221124 KB Output is correct
23 Correct 145 ms 221048 KB Output is correct
24 Correct 153 ms 221068 KB Output is correct
25 Correct 145 ms 221132 KB Output is correct
26 Correct 145 ms 221124 KB Output is correct
27 Correct 139 ms 221072 KB Output is correct
28 Correct 152 ms 221124 KB Output is correct
29 Correct 142 ms 221120 KB Output is correct
30 Correct 136 ms 221088 KB Output is correct
31 Correct 67 ms 221168 KB Output is correct
32 Correct 72 ms 221124 KB Output is correct
33 Correct 71 ms 221124 KB Output is correct
34 Correct 77 ms 221108 KB Output is correct
35 Correct 77 ms 221120 KB Output is correct
36 Correct 79 ms 221120 KB Output is correct
37 Correct 94 ms 221052 KB Output is correct
38 Correct 92 ms 221124 KB Output is correct
39 Correct 104 ms 221120 KB Output is correct
40 Correct 126 ms 221228 KB Output is correct
41 Correct 161 ms 221124 KB Output is correct
42 Correct 167 ms 221124 KB Output is correct
43 Correct 169 ms 221120 KB Output is correct
44 Correct 158 ms 221252 KB Output is correct
45 Correct 162 ms 221064 KB Output is correct
46 Correct 160 ms 221124 KB Output is correct
47 Correct 151 ms 221120 KB Output is correct
48 Correct 157 ms 221120 KB Output is correct
49 Correct 160 ms 221124 KB Output is correct
50 Correct 157 ms 221252 KB Output is correct
51 Correct 164 ms 221120 KB Output is correct
52 Correct 149 ms 221120 KB Output is correct
53 Correct 163 ms 221124 KB Output is correct
54 Correct 158 ms 221168 KB Output is correct
55 Correct 155 ms 221024 KB Output is correct
56 Correct 158 ms 221116 KB Output is correct
57 Correct 150 ms 221032 KB Output is correct
58 Correct 170 ms 221120 KB Output is correct
59 Correct 154 ms 221120 KB Output is correct
60 Correct 154 ms 221124 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 219076 KB Output is correct
2 Correct 71 ms 221124 KB Output is correct
3 Correct 70 ms 221124 KB Output is correct
4 Correct 78 ms 221120 KB Output is correct
5 Correct 72 ms 221120 KB Output is correct
6 Correct 72 ms 221120 KB Output is correct
7 Correct 73 ms 221120 KB Output is correct
8 Correct 71 ms 221120 KB Output is correct
9 Correct 78 ms 221164 KB Output is correct
10 Correct 70 ms 221152 KB Output is correct
11 Correct 72 ms 221124 KB Output is correct
12 Correct 73 ms 221124 KB Output is correct
13 Correct 75 ms 221120 KB Output is correct
14 Correct 94 ms 221120 KB Output is correct
15 Correct 115 ms 221260 KB Output is correct
16 Correct 137 ms 221220 KB Output is correct
17 Correct 141 ms 221120 KB Output is correct
18 Correct 139 ms 221096 KB Output is correct
19 Correct 141 ms 221120 KB Output is correct
20 Correct 150 ms 221124 KB Output is correct
21 Correct 142 ms 221152 KB Output is correct
22 Correct 135 ms 221124 KB Output is correct
23 Correct 142 ms 221128 KB Output is correct
24 Correct 148 ms 221256 KB Output is correct
25 Correct 142 ms 221124 KB Output is correct
26 Correct 76 ms 221124 KB Output is correct
27 Correct 71 ms 221080 KB Output is correct
28 Correct 72 ms 221124 KB Output is correct
29 Correct 98 ms 221100 KB Output is correct
30 Correct 117 ms 221120 KB Output is correct
31 Correct 142 ms 221240 KB Output is correct
32 Correct 143 ms 221124 KB Output is correct
33 Correct 145 ms 221048 KB Output is correct
34 Correct 153 ms 221068 KB Output is correct
35 Correct 145 ms 221132 KB Output is correct
36 Correct 145 ms 221124 KB Output is correct
37 Correct 139 ms 221072 KB Output is correct
38 Correct 152 ms 221124 KB Output is correct
39 Correct 142 ms 221120 KB Output is correct
40 Correct 136 ms 221088 KB Output is correct
41 Correct 67 ms 221168 KB Output is correct
42 Correct 72 ms 221124 KB Output is correct
43 Correct 71 ms 221124 KB Output is correct
44 Correct 77 ms 221108 KB Output is correct
45 Correct 77 ms 221120 KB Output is correct
46 Correct 79 ms 221120 KB Output is correct
47 Correct 94 ms 221052 KB Output is correct
48 Correct 92 ms 221124 KB Output is correct
49 Correct 104 ms 221120 KB Output is correct
50 Correct 126 ms 221228 KB Output is correct
51 Correct 161 ms 221124 KB Output is correct
52 Correct 167 ms 221124 KB Output is correct
53 Correct 169 ms 221120 KB Output is correct
54 Correct 158 ms 221252 KB Output is correct
55 Correct 162 ms 221064 KB Output is correct
56 Correct 160 ms 221124 KB Output is correct
57 Correct 151 ms 221120 KB Output is correct
58 Correct 157 ms 221120 KB Output is correct
59 Correct 160 ms 221124 KB Output is correct
60 Correct 157 ms 221252 KB Output is correct
61 Correct 164 ms 221120 KB Output is correct
62 Correct 149 ms 221120 KB Output is correct
63 Correct 163 ms 221124 KB Output is correct
64 Correct 158 ms 221168 KB Output is correct
65 Correct 155 ms 221024 KB Output is correct
66 Correct 158 ms 221116 KB Output is correct
67 Correct 150 ms 221032 KB Output is correct
68 Correct 170 ms 221120 KB Output is correct
69 Correct 154 ms 221120 KB Output is correct
70 Correct 154 ms 221124 KB Output is correct
71 Correct 95 ms 223212 KB Output is correct
72 Correct 96 ms 223224 KB Output is correct
73 Correct 93 ms 223168 KB Output is correct
74 Correct 95 ms 223304 KB Output is correct
75 Correct 89 ms 223172 KB Output is correct
76 Correct 104 ms 225220 KB Output is correct
77 Correct 109 ms 225220 KB Output is correct
78 Correct 107 ms 225244 KB Output is correct
79 Correct 107 ms 225216 KB Output is correct
80 Correct 123 ms 225236 KB Output is correct
81 Correct 127 ms 227396 KB Output is correct
82 Correct 140 ms 227264 KB Output is correct
83 Correct 134 ms 227272 KB Output is correct
84 Correct 138 ms 227268 KB Output is correct
85 Correct 133 ms 227264 KB Output is correct
86 Correct 126 ms 227268 KB Output is correct
87 Correct 124 ms 227268 KB Output is correct
88 Correct 124 ms 227264 KB Output is correct
89 Correct 128 ms 227268 KB Output is correct
90 Correct 125 ms 227268 KB Output is correct
91 Correct 166 ms 231748 KB Output is correct
92 Correct 186 ms 231616 KB Output is correct
93 Correct 157 ms 231616 KB Output is correct
94 Correct 161 ms 231604 KB Output is correct
95 Correct 159 ms 231616 KB Output is correct
96 Correct 168 ms 240316 KB Output is correct
97 Correct 168 ms 240316 KB Output is correct
98 Correct 174 ms 240320 KB Output is correct
99 Correct 166 ms 240320 KB Output is correct
100 Correct 159 ms 240316 KB Output is correct
101 Correct 166 ms 240652 KB Output is correct
102 Correct 160 ms 240316 KB Output is correct
103 Correct 163 ms 240320 KB Output is correct
104 Correct 161 ms 240196 KB Output is correct
105 Correct 169 ms 240316 KB Output is correct
106 Correct 161 ms 244748 KB Output is correct
107 Correct 163 ms 244672 KB Output is correct
108 Correct 152 ms 244668 KB Output is correct
109 Correct 157 ms 244668 KB Output is correct
110 Correct 159 ms 244648 KB Output is correct
111 Correct 167 ms 244692 KB Output is correct
112 Correct 152 ms 244544 KB Output is correct
113 Correct 166 ms 244728 KB Output is correct
114 Correct 173 ms 244672 KB Output is correct
115 Correct 163 ms 244668 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 219076 KB Output is correct
2 Correct 71 ms 221124 KB Output is correct
3 Correct 70 ms 221124 KB Output is correct
4 Correct 78 ms 221120 KB Output is correct
5 Correct 72 ms 221120 KB Output is correct
6 Correct 72 ms 221120 KB Output is correct
7 Correct 73 ms 221120 KB Output is correct
8 Correct 71 ms 221120 KB Output is correct
9 Correct 78 ms 221164 KB Output is correct
10 Correct 70 ms 221152 KB Output is correct
11 Correct 72 ms 221124 KB Output is correct
12 Correct 73 ms 221124 KB Output is correct
13 Correct 75 ms 221120 KB Output is correct
14 Correct 94 ms 221120 KB Output is correct
15 Correct 115 ms 221260 KB Output is correct
16 Correct 137 ms 221220 KB Output is correct
17 Correct 141 ms 221120 KB Output is correct
18 Correct 139 ms 221096 KB Output is correct
19 Correct 141 ms 221120 KB Output is correct
20 Correct 150 ms 221124 KB Output is correct
21 Correct 142 ms 221152 KB Output is correct
22 Correct 135 ms 221124 KB Output is correct
23 Correct 142 ms 221128 KB Output is correct
24 Correct 148 ms 221256 KB Output is correct
25 Correct 142 ms 221124 KB Output is correct
26 Correct 76 ms 221124 KB Output is correct
27 Correct 71 ms 221080 KB Output is correct
28 Correct 72 ms 221124 KB Output is correct
29 Correct 98 ms 221100 KB Output is correct
30 Correct 117 ms 221120 KB Output is correct
31 Correct 142 ms 221240 KB Output is correct
32 Correct 143 ms 221124 KB Output is correct
33 Correct 145 ms 221048 KB Output is correct
34 Correct 153 ms 221068 KB Output is correct
35 Correct 145 ms 221132 KB Output is correct
36 Correct 145 ms 221124 KB Output is correct
37 Correct 139 ms 221072 KB Output is correct
38 Correct 152 ms 221124 KB Output is correct
39 Correct 142 ms 221120 KB Output is correct
40 Correct 136 ms 221088 KB Output is correct
41 Correct 67 ms 221168 KB Output is correct
42 Correct 72 ms 221124 KB Output is correct
43 Correct 71 ms 221124 KB Output is correct
44 Correct 77 ms 221108 KB Output is correct
45 Correct 77 ms 221120 KB Output is correct
46 Correct 79 ms 221120 KB Output is correct
47 Correct 94 ms 221052 KB Output is correct
48 Correct 92 ms 221124 KB Output is correct
49 Correct 104 ms 221120 KB Output is correct
50 Correct 126 ms 221228 KB Output is correct
51 Correct 161 ms 221124 KB Output is correct
52 Correct 167 ms 221124 KB Output is correct
53 Correct 169 ms 221120 KB Output is correct
54 Correct 158 ms 221252 KB Output is correct
55 Correct 162 ms 221064 KB Output is correct
56 Correct 160 ms 221124 KB Output is correct
57 Correct 151 ms 221120 KB Output is correct
58 Correct 157 ms 221120 KB Output is correct
59 Correct 160 ms 221124 KB Output is correct
60 Correct 157 ms 221252 KB Output is correct
61 Correct 164 ms 221120 KB Output is correct
62 Correct 149 ms 221120 KB Output is correct
63 Correct 163 ms 221124 KB Output is correct
64 Correct 158 ms 221168 KB Output is correct
65 Correct 155 ms 221024 KB Output is correct
66 Correct 158 ms 221116 KB Output is correct
67 Correct 150 ms 221032 KB Output is correct
68 Correct 170 ms 221120 KB Output is correct
69 Correct 154 ms 221120 KB Output is correct
70 Correct 154 ms 221124 KB Output is correct
71 Correct 95 ms 223212 KB Output is correct
72 Correct 96 ms 223224 KB Output is correct
73 Correct 93 ms 223168 KB Output is correct
74 Correct 95 ms 223304 KB Output is correct
75 Correct 89 ms 223172 KB Output is correct
76 Correct 104 ms 225220 KB Output is correct
77 Correct 109 ms 225220 KB Output is correct
78 Correct 107 ms 225244 KB Output is correct
79 Correct 107 ms 225216 KB Output is correct
80 Correct 123 ms 225236 KB Output is correct
81 Correct 127 ms 227396 KB Output is correct
82 Correct 140 ms 227264 KB Output is correct
83 Correct 134 ms 227272 KB Output is correct
84 Correct 138 ms 227268 KB Output is correct
85 Correct 133 ms 227264 KB Output is correct
86 Correct 126 ms 227268 KB Output is correct
87 Correct 124 ms 227268 KB Output is correct
88 Correct 124 ms 227264 KB Output is correct
89 Correct 128 ms 227268 KB Output is correct
90 Correct 125 ms 227268 KB Output is correct
91 Correct 166 ms 231748 KB Output is correct
92 Correct 186 ms 231616 KB Output is correct
93 Correct 157 ms 231616 KB Output is correct
94 Correct 161 ms 231604 KB Output is correct
95 Correct 159 ms 231616 KB Output is correct
96 Correct 168 ms 240316 KB Output is correct
97 Correct 168 ms 240316 KB Output is correct
98 Correct 174 ms 240320 KB Output is correct
99 Correct 166 ms 240320 KB Output is correct
100 Correct 159 ms 240316 KB Output is correct
101 Correct 166 ms 240652 KB Output is correct
102 Correct 160 ms 240316 KB Output is correct
103 Correct 163 ms 240320 KB Output is correct
104 Correct 161 ms 240196 KB Output is correct
105 Correct 169 ms 240316 KB Output is correct
106 Correct 161 ms 244748 KB Output is correct
107 Correct 163 ms 244672 KB Output is correct
108 Correct 152 ms 244668 KB Output is correct
109 Correct 157 ms 244668 KB Output is correct
110 Correct 159 ms 244648 KB Output is correct
111 Correct 167 ms 244692 KB Output is correct
112 Correct 152 ms 244544 KB Output is correct
113 Correct 166 ms 244728 KB Output is correct
114 Correct 173 ms 244672 KB Output is correct
115 Correct 163 ms 244668 KB Output is correct
116 Correct 4085 ms 222988 KB Output is correct
117 Correct 4049 ms 222936 KB Output is correct
118 Correct 4379 ms 223164 KB Output is correct
119 Correct 4851 ms 223184 KB Output is correct
120 Correct 5168 ms 223036 KB Output is correct
121 Correct 5782 ms 223168 KB Output is correct
122 Correct 6065 ms 225212 KB Output is correct
123 Execution timed out 7037 ms 222652 KB Time limit exceeded
124 Halted 0 ms 0 KB -