Submission #133978

# Submission time Handle Problem Language Result Execution time Memory
133978 2019-07-21T20:21:50 Z Benq Naan (JOI19_naan) C++14
100 / 100
630 ms 102812 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 beg(x) x.begin()
#define en(x) x.end()
#define all(x) beg(x), en(x)
#define resz resize

const int MOD = 1000000007; // 998244353
const ll INF = 1e18;
const int MX = 2005;
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); }

template<class A, class B> A operator+=(A& l, const B& r) { return l = l+r; }
template<class A, class B> A operator-=(A& l, const B& r) { return l = l-r; }
template<class A, class B> A operator*=(A& l, const B& r) { return l = l*r; }
template<class A, class B> A operator/=(A& l, const B& r) { return l = l/r; }

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; trav(a,x) pr(!fst?", ":"",a), fst = 0; 
        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, 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 modInt {
    T val;
    T mod = 0;
    // static const T mod = MOD;

    void normalize() {
        if (mod == 0) return;
        val %= mod; if (val < 0) val += mod;
    }
    modInt(T v = 0, T m = 0) : val(v), mod(m) { normalize(); }
    // modInt(T v = 0, T m = 0) : val(v) { normalize(); }

    explicit operator T() const { return val; }
    friend ostream& operator<<(ostream& os, const modInt& a) { return os << a.val; }
    friend bool operator==(const modInt& a, const modInt& b) { return a.val == b.val; }
    friend bool operator!=(const modInt& a, const modInt& b) { return !(a == b); }

    friend void check(modInt& a, modInt& b) { // make sure all operations are valid
        // comment out if mod is static const
        if (a.mod > 0 && b.mod > 0) { assert(a.mod == b.mod); return; }
        T mod = max(a.mod,b.mod); if (mod == 0) mod = MOD;
        if (a.mod != mod) { a.mod = mod; a.normalize(); }
        if (b.mod != mod) { b.mod = mod; b.normalize(); }
    }
    friend modInt operator+(modInt a, modInt b) {
        check(a,b); a.val += (T)b;
        if (a.val >= a.mod) a.val -= a.mod;
        return a;
    }
    friend modInt operator-(modInt a, modInt b) {
        check(a,b); a.val -= (T)b; 
        if (a.val < 0) a.val += a.mod; 
        return a;
    }
    friend modInt operator-(const modInt& a) { return modInt(0)-a; }

    friend modInt operator*(modInt a, modInt b) {
        check(a,b); a.val = (ll)a.val*(T)b%a.mod; return a;
    }
    friend modInt exp(modInt a, ll p) {
        modInt ans(1,a.mod);
        for (; p; p /= 2, a *= a) if (p&1) ans *= a;
        return ans;
    }
    friend modInt inv(const modInt& a) {
        return {invGeneral(a.val,a.mod),a.mod};
        // return exp(b,b.mod-2) if prime
    }
    friend modInt operator/(modInt a, modInt b) { 
        check(a,b); return a*inv(b); 
    }
};

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

ll N,L;
ll sum[MX];
vi v[MX];
vpl part[MX];
bool done[MX];

bool bet(pl a, pl b) {
    if (__int128(a.f)*b.s < __int128(b.f)*a.s) return 1;
    return 0;
}

int main() {
    setIO(); re(N,L);
    F0R(i,N) { 
        v[i].resz(L); re(v[i]); 
        trav(t,v[i]) sum[i] += t;
        int ind = 0; ll cur = 0;
        FOR(j,1,N) {
            ll des = sum[i]*j/N;
            while (ind < L && cur+v[i][ind] <= des) cur += v[i][ind++];
            if (j == N) part[i].pb({L,1});
            else {
                part[i].pb({sum[i]*j-N*cur+(ll)N*ind*v[i][ind],v[i][ind]*N});
            }
        }
    }
    vi perm;
    F0R(i,N-1) {
        int ind = 0; while (done[ind]) ind ++;
        FOR(j,ind+1,N) if (!done[j] && bet(part[j][i],part[ind][i])) ind = j;
        done[ind] = 1;
        ps(part[ind][i].f,part[ind][i].s);
        perm.pb(ind);
    }
    F0R(i,N) if (!done[i]) perm.pb(i);
    trav(t,perm) pr(t+1," ");
}

/* 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

naan.cpp: In function 'void io::setIn(std::__cxx11::string)':
naan.cpp:117:35: 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); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
naan.cpp: In function 'void io::setOut(std::__cxx11::string)':
naan.cpp:118:36: 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); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 3 ms 504 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 380 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 3 ms 504 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 504 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 2 ms 476 KB Output is correct
4 Correct 3 ms 504 KB Output is correct
5 Correct 3 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 2 ms 504 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 3 ms 504 KB Output is correct
14 Correct 3 ms 504 KB Output is correct
15 Correct 3 ms 504 KB Output is correct
16 Correct 3 ms 504 KB Output is correct
17 Correct 3 ms 504 KB Output is correct
18 Correct 3 ms 504 KB Output is correct
19 Correct 3 ms 504 KB Output is correct
20 Correct 3 ms 504 KB Output is correct
21 Correct 3 ms 504 KB Output is correct
22 Correct 3 ms 504 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 3 ms 504 KB Output is correct
25 Correct 3 ms 504 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 3 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 3 ms 504 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 380 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 3 ms 504 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 504 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 3 ms 504 KB Output is correct
18 Correct 2 ms 476 KB Output is correct
19 Correct 3 ms 504 KB Output is correct
20 Correct 3 ms 504 KB Output is correct
21 Correct 2 ms 504 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 504 KB Output is correct
24 Correct 3 ms 504 KB Output is correct
25 Correct 3 ms 504 KB Output is correct
26 Correct 2 ms 504 KB Output is correct
27 Correct 2 ms 504 KB Output is correct
28 Correct 3 ms 504 KB Output is correct
29 Correct 3 ms 504 KB Output is correct
30 Correct 3 ms 504 KB Output is correct
31 Correct 3 ms 504 KB Output is correct
32 Correct 3 ms 504 KB Output is correct
33 Correct 3 ms 504 KB Output is correct
34 Correct 3 ms 504 KB Output is correct
35 Correct 3 ms 504 KB Output is correct
36 Correct 3 ms 504 KB Output is correct
37 Correct 3 ms 504 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 3 ms 504 KB Output is correct
40 Correct 3 ms 504 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 3 ms 504 KB Output is correct
43 Correct 50 ms 10232 KB Output is correct
44 Correct 291 ms 52472 KB Output is correct
45 Correct 171 ms 23800 KB Output is correct
46 Correct 26 ms 2552 KB Output is correct
47 Correct 215 ms 32316 KB Output is correct
48 Correct 212 ms 66196 KB Output is correct
49 Correct 73 ms 17784 KB Output is correct
50 Correct 372 ms 79736 KB Output is correct
51 Correct 187 ms 33784 KB Output is correct
52 Correct 392 ms 73976 KB Output is correct
53 Correct 298 ms 65540 KB Output is correct
54 Correct 3 ms 508 KB Output is correct
55 Correct 98 ms 38048 KB Output is correct
56 Correct 243 ms 46584 KB Output is correct
57 Correct 215 ms 41080 KB Output is correct
58 Correct 286 ms 65656 KB Output is correct
59 Correct 225 ms 37736 KB Output is correct
60 Correct 630 ms 102692 KB Output is correct
61 Correct 630 ms 102548 KB Output is correct
62 Correct 623 ms 102344 KB Output is correct
63 Correct 629 ms 102780 KB Output is correct
64 Correct 626 ms 102812 KB Output is correct
65 Correct 471 ms 89336 KB Output is correct
66 Correct 490 ms 89376 KB Output is correct
67 Correct 507 ms 89280 KB Output is correct
68 Correct 239 ms 49364 KB Output is correct
69 Correct 278 ms 47224 KB Output is correct
70 Correct 282 ms 60344 KB Output is correct
71 Correct 401 ms 70096 KB Output is correct