oj.uz

Submission #857499

# Submission time Handle Problem Language Result Execution time Memory
857499 2023-10-06T10:00:01 Z NaimSS Chessboard (IZhO18_chessboard) C++14
70 / 100
 1114 ms 3672 KB 
#include <bits/stdc++.h>
#include <iostream>
#define int long long
#define ld long double
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define pb push_back
#define mp(a,b) make_pair(a,b)
#define ms(v,x) memset(v,x,sizeof(v))
#define all(v) v.begin(),v.end()
#define ff first
#define ss second
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define per(i, a, b) for(int i = b-1; i>=a ; i--)
#define trav(a, x) for(auto& a : x)
#define allin(a , x) for(auto a : x)
#define Unique(v) sort(all(v)),v.erase(unique(all(v)),v.end());
#define sz(v) ((int)v.size())
using namespace std;
typedef vector<int> vi;
#define y1 abacaba
//#define left oooooopss
#define db(x) cerr << #x <<" == "<<x << endl;
#define db2(x,y) cerr<<#x <<" == "<<x<<", "<<#y<<" == "<<y<<endl;
#define db3(x,y,z) cerr << #x<<" == "<<x<<", "<<#y<<" == "<<y<<", "<<#z<<" == "<<z<<endl;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<ll> vl;
// std::mt19937_64 rng64((int) std::chrono::steady_clock::now().time_since_epoch().count());
std::mt19937 rng(
  
//  (int) std::chrono::steady_clock::now().time_since_epoch().count()
   1239010
);
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
//inline ll mod(ll n, ll m ){ ll ret = n%m; if(ret < 0) ret += m; return ret; }
ll gcd(ll a, ll b){return (b == 0LL ? a : gcd(b, a%b));}
ll exp(ll b,ll e,ll m){
    b%=m;
    ll ans = 1;
    for (; e; b = b * b % m, e /= 2)
        if (e & 1) ans = ans * b % m;
    return ans;
}
// debug:
template<class T>void print_vector(vector<T> &v){
    rep(i,0,sz(v))cout<<v[i]<<" \n"[i==sz(v)-1];
}
void dbg_out() {cerr << endl; }
template<typename Head, typename ... Tail> void dbg_out(Head H,Tail... T){
    cerr << ' ' << H;
    dbg_out(T...);
}
#ifdef LOCAL
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__), cerr << endl
#else
#define dbg(...) 42
#endif
//
const int N = 100100;
ll x[N][2] , y[N][2];
int n,k;
ll solve(int d,int ini){
	ll L = n / d;
	ll totW = (L * L + 1)/2 * d * d;
	ll totB = (L*L)/2 * d * d;
	if(ini==1)swap(totW,totB);
	ll res = totB;
	auto add = [&](ll totW,ll totB,int inic){
		if(inic)swap(totW,totB);
		res -= totB;
		res += totW;
		return ;
	};
	auto go2 = [&](pll P1,pll P2){
		if(P1.ff <= P2.ff && P1.ss <= P2.ss){
		}else return;
		int inic = ((P1.ff/d + P1.ss/d)& 1)^ini;
		ll l = P2.ff - P1.ff + 1;
		
		if(P1.ss%d != 0){
			ll nxt = P1.ss + (d - (P1.ss%d)) - 1;
			nxt = min(nxt, P2.ss);
			ll h = (nxt - P1.ss + 1);
			ll q = h * l;
			add(q, 0, inic);
			P1.ss = nxt + 1;
		}
		if(P1.ss > P2.ss)return;
		if(P2.ss % d != d-1){
			ll prv = max(P1.ss, (P2.ss - (P2.ss%d) - 1) + 1);
			ll h = (P2.ss - prv + 1);
			ll q = h * l;
			int iniC = ini^((prv/d + P1.ff/d)&1);
			add(q,0,iniC);
			P2.ss = prv-1;
		}
		if(P1.ss > P2.ss)return;
		
		inic = ((P1.ff/d + P1.ss/d)& 1)^ini;
		ll h = (P2.ss - P1.ss + 1);
		assert(h%d == 0); // check!
		h/=d;
		ll totW = (h + 1)/2 * l * d;
		ll totB = h/2 * l * d;
		add(totW, totB, inic);
	};
	auto go = [&](pll P1, pll P2){
		if(P1.ff <= P2.ff && P1.ss <= P2.ss){
			int inic = ((P1.ff/d + P1.ss/d)& 1)^ini;
			ll l = P2.ff - P1.ff + 1;
			ll h = P2.ss - P1.ss + 1;
			// dbg("go", h,l,d);
			assert(l%d == 0);
			assert(h <= d);
			assert( (P2.ss/d) == (P1.ss/d));
			l/=d;
			ll totW = (l + 1)/2 * h * d;
			ll totB = l/2 * h * d;
			add(totW,totB,inic);
		}
	};
	rep(i,0,k){
		ll cur = res;

		pll p1;
		if(x[i][0] % d != 0){
			p1.ff = x[i][0] + (d - (x[i][0]%d));
		}else p1.ff = x[i][0];
		p1.ss = y[i][0] + (y[i][0]%d==0 ? 0 : d - (y[i][0]%d));
		pll p2;
		p2.ff = x[i][1] - (x[i][1]%d == d-1 ? 0 : (x[i][1]%d) + 1);
		p2.ss = y[i][1] - (y[i][1]%d == d-1 ? 0 : (y[i][1]%d) + 1);
		
		if(p1.ff <= p2.ff && p1.ss <= p2.ss){
			// all inside:
			
			ll l = (p2.ff - p1.ff + 1);
			ll h = (p2.ss - p1.ss + 1);
			assert(l%d==0 && h%d==0);
			l/=d, h/=d;
			int inic =(((p1.ff/d)+(p1.ss/d)) &1)^ini;
			ll totW = (l*h + 1)/2 * d * d;
			ll totB = (l*h)/2 * d * d;
			dbg(totW,totB);
			add(totW,totB,inic);
		}
		// upper:
		pll P1 = pll(x[i][0],y[i][0]);
		pll P2 = pll(min(x[i][1],p1.ff -1), y[i][1]);
		go2(P1,P2);
		// lower
		P1 = pll(p2.ff + 1, y[i][0]), P2 = pll(x[i][1], y[i][1]);
		if(P1.ff >= x[i][0] && P1.ff >= p1.ff)go2(P1,P2);
		// left:
		P1 = pll(p1.ff,y[i][0]), P2 = pll(p2.ff, p1.ss-1);
		go(P1,P2);
		// right:
		if(p2.ss + 1 >= p1.ss)P1 = pll(p1.ff, p2.ss + 1), P2 = pll(p2.ff,y[i][1]);
		go(P1,P2);
		// dbg(res - cur, x[i][0], y[i][0]);
	}
	dbg(d, ini , res);
	
	return res;
}

int32_t main(){
    fastio;
	cin >> n >> k;
	rep(i,0,k){
		rep(j,0,2){
			cin >> x[i][j] >> y[i][j];
			x[i][j]--,y[i][j]--;
		}
	}

	ll res = n * (ll) n;
	for(int d=1;d < n;d++){
		if(n%d == 0){
			res = min(res, solve(d,0));
			res = min(res, solve(d,1));
		}
	}
	cout << res << endl;
	// math -> gcd it all
    // Did you swap N,M? N=1?
}

Compilation message

chessboard.cpp: In function 'll solve(long long int, long long int)':
chessboard.cpp:58:18: warning: statement has no effect [-Wunused-value]
   58 | #define dbg(...) 42
      |                  ^~
chessboard.cpp:146:4: note: in expansion of macro 'dbg'
  146 |    dbg(totW,totB);
      |    ^~~
chessboard.cpp:125:6: warning: unused variable 'cur' [-Wunused-variable]
  125 |   ll cur = res;
      |      ^~~
chessboard.cpp:58:18: warning: statement has no effect [-Wunused-value]
   58 | #define dbg(...) 42
      |                  ^~
chessboard.cpp:164:2: note: in expansion of macro 'dbg'
  164 |  dbg(d, ini , res);
      |  ^~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 2908 KB Output is correct
2 Correct 6 ms 2652 KB Output is correct
3 Correct 14 ms 2652 KB Output is correct
4 Correct 15 ms 2752 KB Output is correct
5 Correct 22 ms 2652 KB Output is correct
6 Correct 13 ms 2648 KB Output is correct
7 Correct 3 ms 2648 KB Output is correct
8 Correct 13 ms 2692 KB Output is correct
9 Correct 31 ms 3344 KB Output is correct
10 Correct 17 ms 2652 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 12 ms 2652 KB Output is correct
17 Correct 27 ms 3196 KB Output is correct
18 Correct 43 ms 3672 KB Output is correct
19 Correct 191 ms 3540 KB Output is correct
20 Correct 210 ms 3552 KB Output is correct
21 Correct 25 ms 3164 KB Output is correct
22 Correct 1 ms 2392 KB Output is correct
23 Correct 32 ms 2696 KB Output is correct
24 Correct 39 ms 3420 KB Output is correct
25 Correct 7 ms 2652 KB Output is correct
26 Correct 26 ms 2692 KB Output is correct
27 Correct 40 ms 2920 KB Output is correct
28 Correct 42 ms 3672 KB Output is correct
29 Correct 10 ms 2656 KB Output is correct
30 Correct 2 ms 2396 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 2908 KB Output is correct
2 Correct 6 ms 2652 KB Output is correct
3 Correct 14 ms 2652 KB Output is correct
4 Correct 15 ms 2752 KB Output is correct
5 Correct 22 ms 2652 KB Output is correct
6 Correct 13 ms 2648 KB Output is correct
7 Correct 3 ms 2648 KB Output is correct
8 Correct 13 ms 2692 KB Output is correct
9 Correct 31 ms 3344 KB Output is correct
10 Correct 17 ms 2652 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 12 ms 2652 KB Output is correct
27 Correct 27 ms 3196 KB Output is correct
28 Correct 43 ms 3672 KB Output is correct
29 Correct 191 ms 3540 KB Output is correct
30 Correct 210 ms 3552 KB Output is correct
31 Correct 25 ms 3164 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
33 Correct 32 ms 2696 KB Output is correct
34 Correct 39 ms 3420 KB Output is correct
35 Correct 7 ms 2652 KB Output is correct
36 Correct 26 ms 2692 KB Output is correct
37 Correct 40 ms 2920 KB Output is correct
38 Correct 42 ms 3672 KB Output is correct
39 Correct 10 ms 2656 KB Output is correct
40 Correct 2 ms 2396 KB Output is correct
41 Correct 167 ms 3300 KB Output is correct
42 Correct 46 ms 3412 KB Output is correct
43 Correct 94 ms 3164 KB Output is correct
44 Correct 46 ms 3436 KB Output is correct
45 Correct 34 ms 3536 KB Output is correct
46 Correct 184 ms 3464 KB Output is correct
47 Correct 30 ms 3164 KB Output is correct
48 Correct 69 ms 3368 KB Output is correct
49 Correct 42 ms 3160 KB Output is correct
50 Correct 875 ms 3428 KB Output is correct
51 Correct 935 ms 3524 KB Output is correct
52 Correct 882 ms 3420 KB Output is correct
53 Correct 922 ms 3508 KB Output is correct
54 Correct 859 ms 3400 KB Output is correct
55 Correct 966 ms 3572 KB Output is correct
56 Correct 829 ms 3360 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 22 ms 2908 KB Output is correct
10 Correct 6 ms 2652 KB Output is correct
11 Correct 14 ms 2652 KB Output is correct
12 Correct 15 ms 2752 KB Output is correct
13 Correct 22 ms 2652 KB Output is correct
14 Correct 13 ms 2648 KB Output is correct
15 Correct 3 ms 2648 KB Output is correct
16 Correct 13 ms 2692 KB Output is correct
17 Correct 31 ms 3344 KB Output is correct
18 Correct 17 ms 2652 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2392 KB Output is correct
23 Correct 1 ms 2392 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2392 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 12 ms 2652 KB Output is correct
35 Correct 27 ms 3196 KB Output is correct
36 Correct 43 ms 3672 KB Output is correct
37 Correct 191 ms 3540 KB Output is correct
38 Correct 210 ms 3552 KB Output is correct
39 Correct 25 ms 3164 KB Output is correct
40 Correct 1 ms 2392 KB Output is correct
41 Correct 32 ms 2696 KB Output is correct
42 Correct 39 ms 3420 KB Output is correct
43 Correct 7 ms 2652 KB Output is correct
44 Correct 26 ms 2692 KB Output is correct
45 Correct 40 ms 2920 KB Output is correct
46 Correct 42 ms 3672 KB Output is correct
47 Correct 10 ms 2656 KB Output is correct
48 Correct 2 ms 2396 KB Output is correct
49 Correct 167 ms 3300 KB Output is correct
50 Correct 46 ms 3412 KB Output is correct
51 Correct 94 ms 3164 KB Output is correct
52 Correct 46 ms 3436 KB Output is correct
53 Correct 34 ms 3536 KB Output is correct
54 Correct 184 ms 3464 KB Output is correct
55 Correct 30 ms 3164 KB Output is correct
56 Correct 69 ms 3368 KB Output is correct
57 Correct 42 ms 3160 KB Output is correct
58 Correct 875 ms 3428 KB Output is correct
59 Correct 935 ms 3524 KB Output is correct
60 Correct 882 ms 3420 KB Output is correct
61 Correct 922 ms 3508 KB Output is correct
62 Correct 859 ms 3400 KB Output is correct
63 Correct 966 ms 3572 KB Output is correct
64 Correct 829 ms 3360 KB Output is correct
65 Correct 1 ms 2648 KB Output is correct
66 Correct 0 ms 2644 KB Output is correct
67 Incorrect 1114 ms 3472 KB Output isn't correct
68 Halted 0 ms 0 KB -