oj.uz

답안 #857574

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
857574 2023-10-06T12:15:29 Z NaimSS Chessboard (IZhO18_chessboard) C++14
70 / 100
 1114 ms 5972 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 = 1e18;
	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

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 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

# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 4272 KB Output is correct
2 Correct 7 ms 2908 KB Output is correct
3 Correct 15 ms 3576 KB Output is correct
4 Correct 15 ms 3416 KB Output is correct
5 Correct 19 ms 3928 KB Output is correct
6 Correct 13 ms 3420 KB Output is correct
7 Correct 3 ms 2652 KB Output is correct
8 Correct 13 ms 3316 KB Output is correct
9 Correct 32 ms 5268 KB Output is correct
10 Correct 18 ms 4084 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2524 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2520 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 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2520 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 2524 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2524 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2520 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 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2520 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 2524 KB Output is correct
16 Correct 13 ms 2904 KB Output is correct
17 Correct 25 ms 4700 KB Output is correct
18 Correct 44 ms 4944 KB Output is correct
19 Correct 189 ms 4824 KB Output is correct
20 Correct 212 ms 5148 KB Output is correct
21 Correct 24 ms 4440 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 32 ms 3164 KB Output is correct
24 Correct 40 ms 4672 KB Output is correct
25 Correct 7 ms 2652 KB Output is correct
26 Correct 25 ms 3836 KB Output is correct
27 Correct 45 ms 3960 KB Output is correct
28 Correct 43 ms 4956 KB Output is correct
29 Correct 10 ms 3160 KB Output is correct
30 Correct 2 ms 2396 KB Output is correct

Subtask #5
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 4272 KB Output is correct
2 Correct 7 ms 2908 KB Output is correct
3 Correct 15 ms 3576 KB Output is correct
4 Correct 15 ms 3416 KB Output is correct
5 Correct 19 ms 3928 KB Output is correct
6 Correct 13 ms 3420 KB Output is correct
7 Correct 3 ms 2652 KB Output is correct
8 Correct 13 ms 3316 KB Output is correct
9 Correct 32 ms 5268 KB Output is correct
10 Correct 18 ms 4084 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 2524 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2520 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 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2520 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 2524 KB Output is correct
26 Correct 13 ms 2904 KB Output is correct
27 Correct 25 ms 4700 KB Output is correct
28 Correct 44 ms 4944 KB Output is correct
29 Correct 189 ms 4824 KB Output is correct
30 Correct 212 ms 5148 KB Output is correct
31 Correct 24 ms 4440 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 32 ms 3164 KB Output is correct
34 Correct 40 ms 4672 KB Output is correct
35 Correct 7 ms 2652 KB Output is correct
36 Correct 25 ms 3836 KB Output is correct
37 Correct 45 ms 3960 KB Output is correct
38 Correct 43 ms 4956 KB Output is correct
39 Correct 10 ms 3160 KB Output is correct
40 Correct 2 ms 2396 KB Output is correct
41 Correct 168 ms 5208 KB Output is correct
42 Correct 47 ms 5708 KB Output is correct
43 Correct 93 ms 5312 KB Output is correct
44 Correct 49 ms 5468 KB Output is correct
45 Correct 34 ms 5712 KB Output is correct
46 Correct 188 ms 5680 KB Output is correct
47 Correct 34 ms 5364 KB Output is correct
48 Correct 70 ms 5468 KB Output is correct
49 Correct 43 ms 5212 KB Output is correct
50 Correct 883 ms 5596 KB Output is correct
51 Correct 939 ms 5832 KB Output is correct
52 Correct 878 ms 5712 KB Output is correct
53 Correct 934 ms 5972 KB Output is correct
54 Correct 867 ms 5524 KB Output is correct
55 Correct 977 ms 5972 KB Output is correct
56 Correct 840 ms 5412 KB Output is correct

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 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 4272 KB Output is correct
10 Correct 7 ms 2908 KB Output is correct
11 Correct 15 ms 3576 KB Output is correct
12 Correct 15 ms 3416 KB Output is correct
13 Correct 19 ms 3928 KB Output is correct
14 Correct 13 ms 3420 KB Output is correct
15 Correct 3 ms 2652 KB Output is correct
16 Correct 13 ms 3316 KB Output is correct
17 Correct 32 ms 5268 KB Output is correct
18 Correct 18 ms 4084 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2524 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2520 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 0 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2520 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 2524 KB Output is correct
34 Correct 13 ms 2904 KB Output is correct
35 Correct 25 ms 4700 KB Output is correct
36 Correct 44 ms 4944 KB Output is correct
37 Correct 189 ms 4824 KB Output is correct
38 Correct 212 ms 5148 KB Output is correct
39 Correct 24 ms 4440 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 32 ms 3164 KB Output is correct
42 Correct 40 ms 4672 KB Output is correct
43 Correct 7 ms 2652 KB Output is correct
44 Correct 25 ms 3836 KB Output is correct
45 Correct 45 ms 3960 KB Output is correct
46 Correct 43 ms 4956 KB Output is correct
47 Correct 10 ms 3160 KB Output is correct
48 Correct 2 ms 2396 KB Output is correct
49 Correct 168 ms 5208 KB Output is correct
50 Correct 47 ms 5708 KB Output is correct
51 Correct 93 ms 5312 KB Output is correct
52 Correct 49 ms 5468 KB Output is correct
53 Correct 34 ms 5712 KB Output is correct
54 Correct 188 ms 5680 KB Output is correct
55 Correct 34 ms 5364 KB Output is correct
56 Correct 70 ms 5468 KB Output is correct
57 Correct 43 ms 5212 KB Output is correct
58 Correct 883 ms 5596 KB Output is correct
59 Correct 939 ms 5832 KB Output is correct
60 Correct 878 ms 5712 KB Output is correct
61 Correct 934 ms 5972 KB Output is correct
62 Correct 867 ms 5524 KB Output is correct
63 Correct 977 ms 5972 KB Output is correct
64 Correct 840 ms 5412 KB Output is correct
65 Correct 1 ms 2396 KB Output is correct
66 Correct 1 ms 2516 KB Output is correct
67 Incorrect 1114 ms 5708 KB Output isn't correct
68 Halted 0 ms 0 KB -