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Submission #341430

# Submission time Handle Problem Language Result Execution time Memory
341430 2020-12-29T16:34:25 Z ivan_tudor Chessboard (IZhO18_chessboard) C++14
100 / 100
 1883 ms 31312 KB 
#include<bits/stdc++.h>
using namespace std;
const long long N = 1e5 + 5;
struct eventhelp{
  long long t;
  long long l, r;
  long long val;
  long long type;
};
void add_int(long long l, long long r, long long val, long long &cnti, long long &cntp){
  long long pare, impare;
  long long dst = r - l + 1;
  pare = dst/2;
  impare = dst/2;
  if(dst%2 == 1){
    if(l%2 == 0)
      pare++;
    else
      impare++;
  }
  cnti += 1LL * impare * val;
  cntp += 1LL * pare * val;
}
vector<eventhelp> ev;
long long ans = LLONG_MAX;
long long n;
bool cmpev(eventhelp a, eventhelp b){
  if(a.t == b.t)
    return a.type > b.type;
  return a.t < b.t;
}
long long imp[N], pr[N];
void solve(long long len){
  vector<eventhelp> evc = ev;
  for(long long i=len; i<=n;i+=len){
    evc.push_back({i, 0, 0, 0});
  }
  inplace_merge(evc.begin(), evc.begin() + ev.size(), evc.end(), cmpev);
  long long sumi = 0, acti = 0, sump = 0, actp = 0;
  for(auto e:evc){
    if(e.type != 0){
      long long fgroup = (e.l - 1)/len + 1;
      long long lgroup = (e.r - 1)/len + 1;
      if(fgroup  + 1 <= lgroup - 1){
        add_int(fgroup + 1, lgroup - 1, 1LL* e.val * len, sumi, sump);
        add_int(fgroup + 1, lgroup - 1, 1LL* e.type * len, acti, actp);
      }
      if(fgroup != lgroup){
        add_int(fgroup, fgroup, 1LL * e.val * (fgroup*len - e.l + 1), sumi, sump);
        add_int(fgroup, fgroup, 1LL * e.type * (fgroup*len - e.l + 1), acti, actp);

        add_int(lgroup, lgroup, 1LL * e.val * (e.r - (lgroup - 1)*len), sumi, sump);
        add_int(lgroup, lgroup, 1LL * e.type * (e.r - (lgroup - 1)*len), acti, actp);
      }
      if(fgroup == lgroup){
        add_int(fgroup, fgroup, 1LL * e.val * (e.r - e.l + 1), sumi, sump);
        add_int(fgroup, fgroup, 1LL * e.type * (e.r - e.l + 1), acti, actp);
      }
    }
    else{
      long long csumi, csump;
      csumi = sumi - acti * (n - e.t);
      csump = sump - actp * (n - e.t);
      imp[e.t/len] = csumi;
      pr[e.t/len] =csump;

    }
  }
  long long fans = 0, sans = 0;
  for(long long i = 1; i<=n/len;i++){
    long long ci, cp;
    ci = imp[i] - imp[i-1];
    cp = pr[i] - pr[i -1];
    long long nrp = (n/len)/2, nri = n/len - nrp;
    if(i %2 == 1){
      fans += 1LL*len*len*nri - ci + cp;
      sans += 1LL*len*len*nrp - cp + ci;
    }
    else{
      sans += 1LL*len*len*nri - ci + cp;
      fans += 1LL*len*len*nrp - cp + ci;
    }
  }
  ans = min(ans, sans);
  ans = min(ans, fans);
}
int main()
{
  //freopen(".in","r",stdin);
  ios::sync_with_stdio(false);
  cin.tie(0),cout.tie(0);
  long long k;
  cin>>n>>k;
  for(long long i=1;i<=k;i++){
    long long x1, y1, x2, y2;
    cin>>x1>>y1>>x2>>y2;
    ev.push_back({x1, y1, y2, n - x1 + 1, 1});
    ev.push_back({x2, y1, y2,-(n - x2), -1});
  }
  sort(ev.begin(), ev.end(), cmpev);
  for(long long d = 1; d<n; d++){
    if(n%d == 0)
      solve(d);
  }
  cout<<ans;
  return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 15572 KB Output is correct
2 Correct 19 ms 4700 KB Output is correct
3 Correct 53 ms 16336 KB Output is correct
4 Correct 46 ms 11608 KB Output is correct
5 Correct 63 ms 13872 KB Output is correct
6 Correct 45 ms 10180 KB Output is correct
7 Correct 11 ms 3620 KB Output is correct
8 Correct 44 ms 10148 KB Output is correct
9 Correct 102 ms 22076 KB Output is correct
10 Correct 58 ms 12628 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 2 ms 668 KB Output is correct
5 Correct 1 ms 620 KB Output is correct
6 Correct 1 ms 492 KB Output is correct
7 Correct 1 ms 620 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 1 ms 492 KB Output is correct
13 Correct 2 ms 620 KB Output is correct
14 Correct 2 ms 668 KB Output is correct
15 Correct 1 ms 620 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 2 ms 668 KB Output is correct
5 Correct 1 ms 620 KB Output is correct
6 Correct 1 ms 492 KB Output is correct
7 Correct 1 ms 620 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 1 ms 492 KB Output is correct
13 Correct 2 ms 620 KB Output is correct
14 Correct 2 ms 668 KB Output is correct
15 Correct 1 ms 620 KB Output is correct
16 Correct 35 ms 7408 KB Output is correct
17 Correct 86 ms 20828 KB Output is correct
18 Correct 136 ms 24132 KB Output is correct
19 Correct 396 ms 21664 KB Output is correct
20 Correct 452 ms 24136 KB Output is correct
21 Correct 78 ms 19908 KB Output is correct
22 Correct 1 ms 620 KB Output is correct
23 Correct 77 ms 10836 KB Output is correct
24 Correct 115 ms 22012 KB Output is correct
25 Correct 15 ms 2656 KB Output is correct
26 Correct 68 ms 14164 KB Output is correct
27 Correct 102 ms 16836 KB Output is correct
28 Correct 119 ms 23368 KB Output is correct
29 Correct 34 ms 8812 KB Output is correct
30 Correct 4 ms 1192 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 15572 KB Output is correct
2 Correct 19 ms 4700 KB Output is correct
3 Correct 53 ms 16336 KB Output is correct
4 Correct 46 ms 11608 KB Output is correct
5 Correct 63 ms 13872 KB Output is correct
6 Correct 45 ms 10180 KB Output is correct
7 Correct 11 ms 3620 KB Output is correct
8 Correct 44 ms 10148 KB Output is correct
9 Correct 102 ms 22076 KB Output is correct
10 Correct 58 ms 12628 KB Output is correct
11 Correct 1 ms 492 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 2 ms 668 KB Output is correct
15 Correct 1 ms 620 KB Output is correct
16 Correct 1 ms 492 KB Output is correct
17 Correct 1 ms 620 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 2 ms 492 KB Output is correct
22 Correct 1 ms 492 KB Output is correct
23 Correct 2 ms 620 KB Output is correct
24 Correct 2 ms 668 KB Output is correct
25 Correct 1 ms 620 KB Output is correct
26 Correct 35 ms 7408 KB Output is correct
27 Correct 86 ms 20828 KB Output is correct
28 Correct 136 ms 24132 KB Output is correct
29 Correct 396 ms 21664 KB Output is correct
30 Correct 452 ms 24136 KB Output is correct
31 Correct 78 ms 19908 KB Output is correct
32 Correct 1 ms 620 KB Output is correct
33 Correct 77 ms 10836 KB Output is correct
34 Correct 115 ms 22012 KB Output is correct
35 Correct 15 ms 2656 KB Output is correct
36 Correct 68 ms 14164 KB Output is correct
37 Correct 102 ms 16836 KB Output is correct
38 Correct 119 ms 23368 KB Output is correct
39 Correct 34 ms 8812 KB Output is correct
40 Correct 4 ms 1192 KB Output is correct
41 Correct 359 ms 25840 KB Output is correct
42 Correct 137 ms 24936 KB Output is correct
43 Correct 219 ms 24472 KB Output is correct
44 Correct 135 ms 26276 KB Output is correct
45 Correct 121 ms 24040 KB Output is correct
46 Correct 406 ms 27968 KB Output is correct
47 Correct 103 ms 22052 KB Output is correct
48 Correct 183 ms 23864 KB Output is correct
49 Correct 129 ms 22672 KB Output is correct
50 Correct 1719 ms 26740 KB Output is correct
51 Correct 1826 ms 27996 KB Output is correct
52 Correct 1696 ms 26580 KB Output is correct
53 Correct 1802 ms 27944 KB Output is correct
54 Correct 1648 ms 26340 KB Output is correct
55 Correct 1882 ms 28792 KB Output is correct
56 Correct 1622 ms 25680 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 72 ms 15572 KB Output is correct
10 Correct 19 ms 4700 KB Output is correct
11 Correct 53 ms 16336 KB Output is correct
12 Correct 46 ms 11608 KB Output is correct
13 Correct 63 ms 13872 KB Output is correct
14 Correct 45 ms 10180 KB Output is correct
15 Correct 11 ms 3620 KB Output is correct
16 Correct 44 ms 10148 KB Output is correct
17 Correct 102 ms 22076 KB Output is correct
18 Correct 58 ms 12628 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 2 ms 668 KB Output is correct
23 Correct 1 ms 620 KB Output is correct
24 Correct 1 ms 492 KB Output is correct
25 Correct 1 ms 620 KB Output is correct
26 Correct 1 ms 492 KB Output is correct
27 Correct 1 ms 492 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 2 ms 492 KB Output is correct
30 Correct 1 ms 492 KB Output is correct
31 Correct 2 ms 620 KB Output is correct
32 Correct 2 ms 668 KB Output is correct
33 Correct 1 ms 620 KB Output is correct
34 Correct 35 ms 7408 KB Output is correct
35 Correct 86 ms 20828 KB Output is correct
36 Correct 136 ms 24132 KB Output is correct
37 Correct 396 ms 21664 KB Output is correct
38 Correct 452 ms 24136 KB Output is correct
39 Correct 78 ms 19908 KB Output is correct
40 Correct 1 ms 620 KB Output is correct
41 Correct 77 ms 10836 KB Output is correct
42 Correct 115 ms 22012 KB Output is correct
43 Correct 15 ms 2656 KB Output is correct
44 Correct 68 ms 14164 KB Output is correct
45 Correct 102 ms 16836 KB Output is correct
46 Correct 119 ms 23368 KB Output is correct
47 Correct 34 ms 8812 KB Output is correct
48 Correct 4 ms 1192 KB Output is correct
49 Correct 359 ms 25840 KB Output is correct
50 Correct 137 ms 24936 KB Output is correct
51 Correct 219 ms 24472 KB Output is correct
52 Correct 135 ms 26276 KB Output is correct
53 Correct 121 ms 24040 KB Output is correct
54 Correct 406 ms 27968 KB Output is correct
55 Correct 103 ms 22052 KB Output is correct
56 Correct 183 ms 23864 KB Output is correct
57 Correct 129 ms 22672 KB Output is correct
58 Correct 1719 ms 26740 KB Output is correct
59 Correct 1826 ms 27996 KB Output is correct
60 Correct 1696 ms 26580 KB Output is correct
61 Correct 1802 ms 27944 KB Output is correct
62 Correct 1648 ms 26340 KB Output is correct
63 Correct 1882 ms 28792 KB Output is correct
64 Correct 1622 ms 25680 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1808 ms 27232 KB Output is correct
68 Correct 1777 ms 29072 KB Output is correct
69 Correct 1570 ms 25860 KB Output is correct
70 Correct 1729 ms 28276 KB Output is correct
71 Correct 1722 ms 27844 KB Output is correct
72 Correct 1671 ms 27408 KB Output is correct
73 Correct 1655 ms 26896 KB Output is correct
74 Correct 1776 ms 28904 KB Output is correct
75 Correct 1695 ms 27636 KB Output is correct
76 Correct 1824 ms 29360 KB Output is correct
77 Correct 324 ms 31312 KB Output is correct
78 Correct 137 ms 25512 KB Output is correct
79 Correct 227 ms 27808 KB Output is correct
80 Correct 242 ms 28868 KB Output is correct
81 Correct 221 ms 25712 KB Output is correct
82 Correct 194 ms 28964 KB Output is correct
83 Correct 163 ms 28036 KB Output is correct
84 Correct 1088 ms 30820 KB Output is correct
85 Correct 1877 ms 30632 KB Output is correct
86 Correct 20 ms 5828 KB Output is correct
87 Correct 18 ms 5160 KB Output is correct
88 Correct 1883 ms 30776 KB Output is correct
89 Correct 188 ms 11128 KB Output is correct
90 Correct 19 ms 5920 KB Output is correct