// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii; typedef pair<ll, ll> pll;
#define ff first
#define ss second
#define pb emplace_back
#define FOR(i,n) for(int i = 0; i < (n); ++i)
#define FOO(i,a,b) for(int i = (a); i <= (b); ++i)
#define AI(x) begin(x),end(x)
template<class I> bool chmax(I &a, I b){ return a < b ? (a = b, true) : false;}
template<class I> bool chmin(I &a, I b){ return a > b ? (a = b, true) : false;}
#ifdef OWO
#define debug(args...) LKJ("[ " + string(#args) + " ]", args)
void LKJ(){ cerr << endl;}
template<class I, class...T> void LKJ(I&&x, T&&...t){ cerr<<x<<", ", LKJ(t...);}
template<class I> void DE(I a, I b){ while(a < b) cerr << *a << " \n"[next(a) == b], ++a;}
#else
#define debug(...) 0
#define DE(...) 0
#endif
const int N = 1e5 + 1;
int n, k;
void findfac(int n, vector<int> &fac){
for(int i = 1; i * i <= n; ++i){
if(n % i != 0) continue;
fac.pb(i);
fac.pb(n / i);
}
sort(AI(fac));
fac.erase(unique(AI(fac)), end(fac));
if(fac.back() == n) fac.pop_back();
}
ll calc(int l, int r, int f){
int len = (r - l + 1);
l %= f;
len %= 2 * f;
if(len == 0) return 0;
r = l + len - 1;
int lb = l / f;
int rb = r / f;
if(lb == rb) return r - l + 1;
if(rb - lb == 1) return (f - l) - (r - f + 1);
return (f - l) + (r - 2 * f + 1) - f;
}
int32_t main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin >> n >> k;
vector<int> facs;
findfac(n, facs);
// ca : has top left corner
// cb : does not
vector<ll> ca(facs.size());
vector<ll> cb(facs.size());
FOR(i,facs.size()){
int f = facs[i];
ll nn = n / f;
ll bc = (nn * nn + 1) / 2;
ca[i] = bc * f * f;
cb[i] = 1ll * n * n - ca[i];
}
FOR(_,k){
int x1, y1, x2, y2;
cin >> x1 >> y1 >> x2 >> y2;
--x1, --y1, --x2, --y2;
FOR(i, facs.size()){
int f = facs[i];
ll vx = calc(x1, x2, f);
ll vy = calc(y1, y2, f);
if((x1 / f) + (y1 / f) & 1) vx *= 1;
else vx *= -1;
ca[i] += vx * vy;
cb[i] -= vx * vy;
}
}
DE(AI(facs));
DE(AI(ca));
DE(AI(cb));
cout << min(
*min_element(AI(ca)),
*min_element(AI(cb))
);
return 0;
}
Compilation message
chessboard.cpp: In function 'int32_t main()':
chessboard.cpp:9:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
9 | #define FOR(i,n) for(int i = 0; i < (n); ++i)
| ^
chessboard.cpp:63:2: note: in expansion of macro 'FOR'
63 | FOR(i,facs.size()){
| ^~~
chessboard.cpp:9:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
9 | #define FOR(i,n) for(int i = 0; i < (n); ++i)
| ^
chessboard.cpp:75:3: note: in expansion of macro 'FOR'
75 | FOR(i, facs.size()){
| ^~~
chessboard.cpp:81:16: warning: suggest parentheses around '+' in operand of '&' [-Wparentheses]
81 | if((x1 / f) + (y1 / f) & 1) vx *= 1;
| ~~~~~~~~~^~~~~~~~~~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
21 | #define DE(...) 0
| ^
chessboard.cpp:89:2: note: in expansion of macro 'DE'
89 | DE(AI(facs));
| ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
21 | #define DE(...) 0
| ^
chessboard.cpp:90:2: note: in expansion of macro 'DE'
90 | DE(AI(ca));
| ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
21 | #define DE(...) 0
| ^
chessboard.cpp:91:2: note: in expansion of macro 'DE'
91 | DE(AI(cb));
| ^~
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
1388 KB |
Output is correct |
2 |
Correct |
8 ms |
620 KB |
Output is correct |
3 |
Correct |
17 ms |
1260 KB |
Output is correct |
4 |
Correct |
19 ms |
1132 KB |
Output is correct |
5 |
Correct |
27 ms |
1400 KB |
Output is correct |
6 |
Correct |
15 ms |
1132 KB |
Output is correct |
7 |
Correct |
4 ms |
492 KB |
Output is correct |
8 |
Correct |
20 ms |
1132 KB |
Output is correct |
9 |
Correct |
38 ms |
1388 KB |
Output is correct |
10 |
Correct |
22 ms |
1388 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
2 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
2 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
16 ms |
748 KB |
Output is correct |
17 |
Correct |
30 ms |
1388 KB |
Output is correct |
18 |
Correct |
47 ms |
1388 KB |
Output is correct |
19 |
Correct |
184 ms |
1388 KB |
Output is correct |
20 |
Correct |
178 ms |
1388 KB |
Output is correct |
21 |
Correct |
29 ms |
1388 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
31 ms |
1004 KB |
Output is correct |
24 |
Correct |
53 ms |
1388 KB |
Output is correct |
25 |
Correct |
7 ms |
492 KB |
Output is correct |
26 |
Correct |
27 ms |
1260 KB |
Output is correct |
27 |
Correct |
40 ms |
1388 KB |
Output is correct |
28 |
Correct |
45 ms |
1388 KB |
Output is correct |
29 |
Correct |
12 ms |
876 KB |
Output is correct |
30 |
Correct |
2 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
1388 KB |
Output is correct |
2 |
Correct |
8 ms |
620 KB |
Output is correct |
3 |
Correct |
17 ms |
1260 KB |
Output is correct |
4 |
Correct |
19 ms |
1132 KB |
Output is correct |
5 |
Correct |
27 ms |
1400 KB |
Output is correct |
6 |
Correct |
15 ms |
1132 KB |
Output is correct |
7 |
Correct |
4 ms |
492 KB |
Output is correct |
8 |
Correct |
20 ms |
1132 KB |
Output is correct |
9 |
Correct |
38 ms |
1388 KB |
Output is correct |
10 |
Correct |
22 ms |
1388 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
384 KB |
Output is correct |
24 |
Correct |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
16 ms |
748 KB |
Output is correct |
27 |
Correct |
30 ms |
1388 KB |
Output is correct |
28 |
Correct |
47 ms |
1388 KB |
Output is correct |
29 |
Correct |
184 ms |
1388 KB |
Output is correct |
30 |
Correct |
178 ms |
1388 KB |
Output is correct |
31 |
Correct |
29 ms |
1388 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
31 ms |
1004 KB |
Output is correct |
34 |
Correct |
53 ms |
1388 KB |
Output is correct |
35 |
Correct |
7 ms |
492 KB |
Output is correct |
36 |
Correct |
27 ms |
1260 KB |
Output is correct |
37 |
Correct |
40 ms |
1388 KB |
Output is correct |
38 |
Correct |
45 ms |
1388 KB |
Output is correct |
39 |
Correct |
12 ms |
876 KB |
Output is correct |
40 |
Correct |
2 ms |
364 KB |
Output is correct |
41 |
Correct |
142 ms |
1388 KB |
Output is correct |
42 |
Correct |
49 ms |
1388 KB |
Output is correct |
43 |
Correct |
83 ms |
1388 KB |
Output is correct |
44 |
Correct |
48 ms |
1388 KB |
Output is correct |
45 |
Correct |
40 ms |
1388 KB |
Output is correct |
46 |
Correct |
157 ms |
1396 KB |
Output is correct |
47 |
Correct |
57 ms |
1388 KB |
Output is correct |
48 |
Correct |
77 ms |
1388 KB |
Output is correct |
49 |
Correct |
44 ms |
1388 KB |
Output is correct |
50 |
Correct |
694 ms |
1516 KB |
Output is correct |
51 |
Correct |
747 ms |
1516 KB |
Output is correct |
52 |
Correct |
693 ms |
1520 KB |
Output is correct |
53 |
Correct |
749 ms |
1516 KB |
Output is correct |
54 |
Correct |
683 ms |
1388 KB |
Output is correct |
55 |
Correct |
769 ms |
1508 KB |
Output is correct |
56 |
Correct |
663 ms |
1644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
26 ms |
1388 KB |
Output is correct |
10 |
Correct |
8 ms |
620 KB |
Output is correct |
11 |
Correct |
17 ms |
1260 KB |
Output is correct |
12 |
Correct |
19 ms |
1132 KB |
Output is correct |
13 |
Correct |
27 ms |
1400 KB |
Output is correct |
14 |
Correct |
15 ms |
1132 KB |
Output is correct |
15 |
Correct |
4 ms |
492 KB |
Output is correct |
16 |
Correct |
20 ms |
1132 KB |
Output is correct |
17 |
Correct |
38 ms |
1388 KB |
Output is correct |
18 |
Correct |
22 ms |
1388 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
384 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
384 KB |
Output is correct |
34 |
Correct |
16 ms |
748 KB |
Output is correct |
35 |
Correct |
30 ms |
1388 KB |
Output is correct |
36 |
Correct |
47 ms |
1388 KB |
Output is correct |
37 |
Correct |
184 ms |
1388 KB |
Output is correct |
38 |
Correct |
178 ms |
1388 KB |
Output is correct |
39 |
Correct |
29 ms |
1388 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
31 ms |
1004 KB |
Output is correct |
42 |
Correct |
53 ms |
1388 KB |
Output is correct |
43 |
Correct |
7 ms |
492 KB |
Output is correct |
44 |
Correct |
27 ms |
1260 KB |
Output is correct |
45 |
Correct |
40 ms |
1388 KB |
Output is correct |
46 |
Correct |
45 ms |
1388 KB |
Output is correct |
47 |
Correct |
12 ms |
876 KB |
Output is correct |
48 |
Correct |
2 ms |
364 KB |
Output is correct |
49 |
Correct |
142 ms |
1388 KB |
Output is correct |
50 |
Correct |
49 ms |
1388 KB |
Output is correct |
51 |
Correct |
83 ms |
1388 KB |
Output is correct |
52 |
Correct |
48 ms |
1388 KB |
Output is correct |
53 |
Correct |
40 ms |
1388 KB |
Output is correct |
54 |
Correct |
157 ms |
1396 KB |
Output is correct |
55 |
Correct |
57 ms |
1388 KB |
Output is correct |
56 |
Correct |
77 ms |
1388 KB |
Output is correct |
57 |
Correct |
44 ms |
1388 KB |
Output is correct |
58 |
Correct |
694 ms |
1516 KB |
Output is correct |
59 |
Correct |
747 ms |
1516 KB |
Output is correct |
60 |
Correct |
693 ms |
1520 KB |
Output is correct |
61 |
Correct |
749 ms |
1516 KB |
Output is correct |
62 |
Correct |
683 ms |
1388 KB |
Output is correct |
63 |
Correct |
769 ms |
1508 KB |
Output is correct |
64 |
Correct |
663 ms |
1644 KB |
Output is correct |
65 |
Correct |
1 ms |
364 KB |
Output is correct |
66 |
Correct |
1 ms |
364 KB |
Output is correct |
67 |
Correct |
739 ms |
2540 KB |
Output is correct |
68 |
Correct |
732 ms |
2668 KB |
Output is correct |
69 |
Correct |
642 ms |
2284 KB |
Output is correct |
70 |
Correct |
710 ms |
2540 KB |
Output is correct |
71 |
Correct |
714 ms |
2540 KB |
Output is correct |
72 |
Correct |
686 ms |
2540 KB |
Output is correct |
73 |
Correct |
676 ms |
2412 KB |
Output is correct |
74 |
Correct |
739 ms |
2556 KB |
Output is correct |
75 |
Correct |
704 ms |
2412 KB |
Output is correct |
76 |
Correct |
747 ms |
2556 KB |
Output is correct |
77 |
Correct |
139 ms |
2796 KB |
Output is correct |
78 |
Correct |
52 ms |
2452 KB |
Output is correct |
79 |
Correct |
88 ms |
2284 KB |
Output is correct |
80 |
Correct |
90 ms |
2668 KB |
Output is correct |
81 |
Correct |
86 ms |
2284 KB |
Output is correct |
82 |
Correct |
88 ms |
2540 KB |
Output is correct |
83 |
Correct |
59 ms |
2540 KB |
Output is correct |
84 |
Correct |
437 ms |
2668 KB |
Output is correct |
85 |
Correct |
781 ms |
2684 KB |
Output is correct |
86 |
Correct |
1 ms |
364 KB |
Output is correct |
87 |
Correct |
1 ms |
364 KB |
Output is correct |
88 |
Correct |
839 ms |
2684 KB |
Output is correct |
89 |
Correct |
147 ms |
748 KB |
Output is correct |
90 |
Correct |
1 ms |
364 KB |
Output is correct |