답안 #143666

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
143666 2019-08-14T20:49:20 Z Benq Coins (LMIO19_monetos) C++14
20 / 100
98 ms 19448 KB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)

#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound

#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rsz resize

const int MOD = 1000000007; // 998244353
const ll INF = 1e18;
const int MX = 305;
const ld PI = 4*atan((ld)1);

template<class T> void ckmin(T &a, T b) { a = min(a, b); }
template<class T> void ckmax(T &a, T b) { a = max(a, b); }

namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);

    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class Arg, class... Args> void re(Arg& first, Args&... rest) { 
        re(first); re(rest...); 
    }

    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}

using namespace input;

namespace output {
    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T, size_t SZ> void pr(const array<T,SZ>& x);
    template<class T> void pr(const vector<T>& x);
    template<class T> void pr(const set<T>& x);
    template<class T1, class T2> void pr(const map<T1,T2>& x);

    template<class T> void pr(const T& x) { cout << x; }
    template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) { 
        pr(first); pr(rest...); 
    }

    template<class T1, class T2> void pr(const pair<T1,T2>& x) { 
        pr("{",x.f,", ",x.s,"}"); 
    }
    template<class T> void prContain(const T& x) {
        pr("{");
        bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
        pr("}");
    }
    template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
    template<class T> void pr(const vector<T>& x) { prContain(x); }
    template<class T> void pr(const set<T>& x) { prContain(x); }
    template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }
    
    void ps() { pr("\n"); }
    template<class Arg> void ps(const Arg& first) { 
        pr(first); ps(); // no space at end of line
    }
    template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) { 
        pr(first," "); ps(rest...); // print w/ spaces
    }
}

using namespace output;

namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        ios_base::sync_with_stdio(0); cin.tie(0); // fast I/O
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}

using namespace io;

template<class T> T invGeneral(T a, T b) {
    a %= b; if (a == 0) return b == 1 ? 0 : -1;
    T x = invGeneral(b,a); 
    return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}

template<class T> struct modular {
    T val; 
    explicit operator T() const { return val; }
    modular() { val = 0; }
    modular(const ll& v) { 
        val = (-MOD <= v && v <= MOD) ? v : v % MOD;
        if (val < 0) val += MOD;
    }
    
    // friend ostream& operator<<(ostream& os, const modular& a) { return os << a.val; }
    friend void pr(const modular& a) { pr(a.val); }
    friend void re(modular& a) { ll x; re(x); a = modular(x); }
   
    friend bool operator==(const modular& a, const modular& b) { return a.val == b.val; }
    friend bool operator!=(const modular& a, const modular& b) { return !(a == b); }
    friend bool operator<(const modular& a, const modular& b) { return a.val < b.val; }

    modular operator-() const { return modular(-val); }
    modular& operator+=(const modular& m) { if ((val += m.val) >= MOD) val -= MOD; return *this; }
    modular& operator-=(const modular& m) { if ((val -= m.val) < 0) val += MOD; return *this; }
    modular& operator*=(const modular& m) { val = (ll)val*m.val%MOD; return *this; }
    friend modular pow(modular a, ll p) {
        modular ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
        return ans;
    }
    friend modular inv(const modular& a) { 
        auto i = invGeneral(a.val,MOD); assert(i != -1);
        return i;
    } // equivalent to return exp(b,MOD-2) if MOD is prime
    modular& operator/=(const modular& m) { return (*this) *= inv(m); }
    
    friend modular operator+(modular a, const modular& b) { return a += b; }
    friend modular operator-(modular a, const modular& b) { return a -= b; }
    friend modular operator*(modular a, const modular& b) { return a *= b; }
    
    friend modular operator/(modular a, const modular& b) { return a /= b; }
};

typedef modular<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int T,N,K1,K2,g[MX][MX],res[MX][MX];
vi dp[MX][MX]; // i rows done, last row has >= j, k total

void check(vi& a, const vi& b) {
	while (sz(a) < sz(b)) a.pb(MOD);
	F0R(i,sz(b)) ckmin(a[i],b[i]);
}

vi shift(vi a, int b, int c) {
	trav(t,a) t += c;
	a.insert(a.begin(),b,MOD);
	if (sz(a) > N*N/2) a.rsz(N*N/2+1);
	return a;
}

void exact() {
	dp[0][N] = {0};
	F0Rd(j,N) check(dp[0][j],dp[0][j+1]);
    F0R(i,N) {
    	int dif = 0;
    	F0R(j,N+1) {
    		dp[i+1][j] = shift(dp[i][j],j,dif);
    		if (j < N) dif += g[i][j];
    	}
    	F0Rd(j,N) check(dp[i+1][j],dp[i+1][j+1]);
    }
    int j = 0, k = N*N/2;
    F0Rd(i,N) {
    	while (k < sz(dp[i+1][j+1]) && dp[i+1][j+1][k] == dp[i+1][j][k]) j ++;
    	k -= j;
    	FOR(z,j,N) res[i][z] = 1;
    }
}

const int BAD = 80;

double val (pi t) {
	return double(t.s)/t.f;
}

int tot = 0, z = 0, maxBound;
pi exists[405];

void ins(pi t) {
	int q = t.f/maxBound; ckmax(z,q); 
	if (exists[q].f != MOD) return;
	exists[q] = t; tot ++;
}

vpi compress(vpi v) { 
	if (N <= 50 || sz(v) <= BAD) return v;
	// F0R(i,sz(v)-1) assert(v[i] < v[i+1]);
	tot = 0; F0R(i,N+1) exists[i] = {MOD,MOD};
	pi mx = v.back(); v.pop_back(); 
	maxBound = mx.f/(4*BAD)+1;
	ins(mx); assert(tot == 1);
	sort(all(v),[](pi a, pi b) { return val(a) < val(b); });
	trav(t,v) {
		ins(t);
		if (tot == BAD) break;
	}
	vpi res;
	F0R(i,4*BAD+1) if (exists[i].f != MOD) res.pb(exists[i]);
	// F0R(i,sz(res)-1) assert(res[i].f < res[i+1].f);
	/*if (res.back() != mx) {
		// ins(mx);
		ps("??",sz(v),sz(res),res.back(),mx,mx.f/(N/2),exists[2]);
		exit(0);
	}*/
	return res;
	/*vpi V; int mn = MOD;
	F0Rd(i,sz(v)) {
		if (v[i].s >= mn) continue;
		mn = v[i].s; V.pb(v[i]);
	}
	// those with the min value of v[i].s/v[i].f
	reverse(all(V));
	
	vector<bool> ok(sz(V)); ok[0] = ok[sz(V)-1] = 1;
	vi select(sz(V)); F0R(i,sz(select)) select[i] = i;
	random_shuffle(all(select));
	F0R(i,min(100,sz(select))) ok[select[i]] = 1;
	vpi res;
	F0R(i,sz(V)) if (ok[i]) res.pb(V[i]);
	return res;*/
}

void check(vpi& a, vpi b) {
	vpi c;
	int ind = 0;
	F0R(i,sz(a)) {
		while (ind < sz(b) && b[ind].f < a[i].f) c.pb(b[ind++]);
		if (ind < sz(b) && b[ind].f == a[i].f) ckmin(a[i].s,b[ind++].s);
		c.pb(a[i]);
	}
	while (ind < sz(b)) c.pb(b[ind++]);
	a = compress(c); 
}

vpi shift(vpi a, int b, int c) {
	trav(t,a) t.f += b, t.s += c;
	while (sz(a) && a.back().f > N*N/2) a.pop_back();
	return a;
}

int get(vpi& a, int b) {
	auto it = lb(all(a),mp(b,-MOD));
	if (it == end(a) || it->f != b) return MOD;
	return it->s;
}

vpi DP[MX][MX];

void approx() {
	DP[0][N] = {{0,0}};
	F0Rd(j,N) check(DP[0][j],DP[0][j+1]);
    F0R(i,N) {
    	int dif = 0;
    	F0R(j,N+1) {
    		DP[i+1][j] = shift(DP[i][j],j,dif);
    		if (j < N) dif += g[i][j];
    	}
    	F0Rd(j,N) check(DP[i+1][j],DP[i+1][j+1]);
    }
    // exit(0);
    // ps("HUH",DP[N][0].back());
    // F0R(i,N+1) if (sz(DP[N][i])) ps(i,DP[N][i].back());
    // ps(z);
    if (get(DP[N][0],N*N/2) == MOD) {
    	ps("ANS DOES NOT EXIST",DP[N][0].back());
    	exit(0);
    }
    int j = 0, k = N*N/2;
    F0Rd(i,N) {
    	while (get(DP[i+1][j+1],k) == get(DP[i+1][j],k)) j ++;
    	k -= j;
    	FOR(z,j,N) res[i][z] = 1;
    }
}

int main() {
    setIO(); re(T,N,K1,K2);
    F0R(i,N) F0R(j,N) {
    	re(g[i][j]);
    	// g[i][j] = rand()&1;
    }
    approx();
    F0R(i,N) {
    	F0R(j,N) pr(res[i][j],' ');
    	ps();
    }
}

/* stuff you should look for
    * int overflow, array bounds
    * special cases (n=1?), set tle
    * do smth instead of nothing and stay organized
*/

Compilation message

monetos.cpp: In function 'void io::setIn(std::__cxx11::string)':
monetos.cpp:113:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
monetos.cpp: In function 'void io::setOut(std::__cxx11::string)':
monetos.cpp:114:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4728 KB K = 17
2 Correct 28 ms 12664 KB K = 576
3 Runtime error 90 ms 19448 KB Execution killed with signal 11 (could be triggered by violating memory limits)
4 Runtime error 96 ms 19320 KB Execution killed with signal 11 (could be triggered by violating memory limits)
5 Runtime error 90 ms 19192 KB Execution killed with signal 11 (could be triggered by violating memory limits)
6 Runtime error 92 ms 19320 KB Execution killed with signal 11 (could be triggered by violating memory limits)
7 Runtime error 95 ms 19320 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Runtime error 87 ms 19320 KB Execution killed with signal 11 (could be triggered by violating memory limits)
9 Runtime error 97 ms 19376 KB Execution killed with signal 11 (could be triggered by violating memory limits)
10 Runtime error 98 ms 19320 KB Execution killed with signal 11 (could be triggered by violating memory limits)