Submission #103661

# Submission time Handle Problem Language Result Execution time Memory
103661 2019-04-01T21:15:35 Z Benq Worm Worries (BOI18_worm) C++14
100 / 100
802 ms 6332 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 = 100001;
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;
 
int N,M,K,Q;
 
map<array<int,3>,int> m;
 
int query(int x, int y = 1, int z = 1) {
    if (x < 1 || x > N) return 0;
    if (y < 1 || y > M) return 0;
    if (z < 1 || z > K) return 0;
    if (m.count({x,y,z})) return m[{x,y,z}];
    cout << "? " << x << " " << y << " " << z << endl;
    // return 1000-abs(x-150)-abs(y-100)-abs(z-100);
    int r; re(r);
    // r = 1000-abs(x-457)-abs(y-100)-abs(z-100);
    return m[{x,y,z}] = r;
}
 
void fin(int x, int y = 1, int z = 1) {
    cout << "! " << x << " " << y << " " << z << endl;
    exit(0);
}
 
ld phi = (1+sqrt(5))/2;
 
/*void stage2(int l, int m, int r) {
    
}
 
 
void stage1(int r) {
    int l = 1; 
    if (r-l == 1) fin(1);
    if (r-l == 2) {
        if (query(2) > query(1)) fin(2);
        else fin(1);
    }
    int m = (r-l)/phi/phi+l;
    if (query(l) >= query(m)) return stage1(m);
    stage2();
}*/
 
void stage(int l, int m, int r) {
    if (r-l == 0) exit(5);
    if (r-l == 1) {
        if (query(l) >= query(l+1)) fin(l);
        else fin(l+1);
    }
    if (r-l == 2) {
        if (query(l+1) >= query(l) && query(l+1) >= query(r)) fin(l+1);
        if (query(l) >= query(l+1) && query(l) >= query(r)) fin(l);
        fin(l+2);
    }
    if (r-l <= 2 || (l == m || m == r)) {
        ps("WHAT",l,m,r);
        exit(0);
    }
    // 0 -> 0 
    // 1 -> 1 b
    // 2 -> 2 bu 
    // 3 -> 3 bug
    // 0 -> 1 (b)
    // 1 -> 2 (u)
    // 2 -> 3 (g)
    
    int m0, m1, len = min(m-l,r-m), actual = (r-l)/phi/phi;
    if (m-l < r-m) {
        m0 = m; m1 = r-actual;
    } else {
        m1 = m; m0 = l+actual;
    }
    if (m0 == m1) m1 ++;
    if (query(m0) > query(m1)) stage(l,m0,m1);
    else stage(m0,m1,r);
}
 
void tRight(int r) {
    if (r == 3) {
        if (query(2) > query(1)) fin(2);
        fin(1);
    }
    if (r == 2) fin(1);
    int len = (r-1)/phi/phi;
    if (query(1+len) > query(1)) stage(1,1+len,r);
    else tRight(1+len);
}
 
void tLeft(int l) {
    if (l == N-2) {
        if (query(N-1) > query(N)) fin(N-1);
        fin(N);
    }
    if (l == N-1) fin(N);
    int len = (N-l)/phi/phi;
    if (query(N-len) > query(N)) stage(l,N-len,N);
    else tLeft(N-len);
}
 
void solve1() {
    if (query(1) <= query(N)) return tLeft(1);
    return tRight(N);
}
 
void solve2(pi x, pi y, pi bes) {
    // ps("??",x,y,bes);
    if (x.f == x.s && y.f == y.s) fin(bes.f,bes.s);
    if (x.s-x.f > y.s-y.f) {
        int m = (x.f+x.s)/2;
        FOR(i,y.f,y.s+1) if (query(m,i) > query(bes.f,bes.s)) bes = {m,i};
        if (bes.f != m) {
            if (bes.f < m) solve2({x.f,m-1},y,bes);
            else solve2({m+1,x.s},y,bes);
        } else {
            if (query(bes.f,bes.s) < query(bes.f-1,bes.s)) {
                solve2({x.f,m-1},y,{bes.f-1,bes.s});
            } else if (query(bes.f,bes.s) < query(bes.f+1,bes.s)) {
                solve2({m+1,x.s},y,{bes.f+1,bes.s});
            } else fin(bes.f,bes.s);
        }
    } else {
        int m = (y.f+y.s)/2;
        FOR(i,x.f,x.s+1) if (query(i,m) > query(bes.f,bes.s)) bes = {i,m};
        if (bes.s != m) {
            if (bes.s < m) solve2(x,{y.f,m-1},bes);
            else solve2(x,{m+1,y.s},bes);
        } else {
            if (query(bes.f,bes.s) < query(bes.f,bes.s-1)) {
                solve2(x,{y.f,m-1},{bes.f,bes.s-1});
            } else if (query(bes.f,bes.s) < query(bes.f,bes.s+1)) {
                solve2(x,{m+1,y.s},{bes.f,bes.s+1});
            } else fin(bes.f,bes.s);
        }
    }
}
 
int xd[6] = {1,-1,0,0,0,0}, yd[6] = {0,0,1,-1,0,0}, zd[6] = {0,0,0,0,1,-1};
 
void solve3() {
    array<int,4> bes = array<int,4>();
    F0R(i,Q/2) {
        int x = rand() % N+1, y = rand() % M+1, z = rand() % K+1;
        ckmax(bes,{query(x,y,z),x,y,z});
    }
    bool bad = 1;
    while (bad) {
        bad = 0;
        F0R(i,6) if (query(bes[1]+xd[i],bes[2]+yd[i],bes[3]+zd[i]) > bes[0]) {
            bes = {query(bes[1]+xd[i],bes[2]+yd[i],bes[3]+zd[i]),
                    bes[1]+xd[i],
                    bes[2]+yd[i],
                    bes[3]+zd[i]};
            bad = 1;
            break;
        }
    }
    fin(bes[1],bes[2],bes[3]);
}
 
int main() {
    re(N,M,K,Q);
    if (M == 1 && K == 1) solve1();
    else if (K == 1) solve2({1,N},{1,M},{1,1});
    else solve3();
}
 
/* 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

worm.cpp: In function 'void stage(int, int, int)':
worm.cpp:254:17: warning: unused variable 'len' [-Wunused-variable]
     int m0, m1, len = min(m-l,r-m), actual = (r-l)/phi/phi;
                 ^~~
worm.cpp: In function 'void io::setIn(std::__cxx11::string)':
worm.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); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
worm.cpp: In function 'void io::setOut(std::__cxx11::string)':
worm.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 384 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 408 KB Output is correct
9 Correct 3 ms 412 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 3 ms 256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 384 KB Output is correct
2 Correct 7 ms 384 KB Output is correct
3 Correct 7 ms 256 KB Output is correct
4 Correct 7 ms 256 KB Output is correct
5 Correct 9 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 428 KB Output is correct
2 Correct 23 ms 424 KB Output is correct
3 Correct 24 ms 376 KB Output is correct
4 Correct 17 ms 448 KB Output is correct
5 Correct 17 ms 460 KB Output is correct
6 Correct 34 ms 504 KB Output is correct
7 Correct 31 ms 376 KB Output is correct
8 Correct 24 ms 560 KB Output is correct
9 Correct 27 ms 424 KB Output is correct
10 Correct 25 ms 444 KB Output is correct
11 Correct 25 ms 376 KB Output is correct
12 Correct 14 ms 468 KB Output is correct
13 Correct 25 ms 500 KB Output is correct
14 Correct 30 ms 504 KB Output is correct
15 Correct 27 ms 424 KB Output is correct
16 Correct 25 ms 508 KB Output is correct
17 Correct 24 ms 504 KB Output is correct
18 Correct 27 ms 424 KB Output is correct
19 Correct 22 ms 384 KB Output is correct
20 Correct 22 ms 424 KB Output is correct
21 Correct 18 ms 504 KB Output is correct
22 Correct 16 ms 528 KB Output is correct
23 Correct 27 ms 424 KB Output is correct
24 Correct 33 ms 504 KB Output is correct
25 Correct 27 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 456 ms 3312 KB Output is correct
2 Correct 469 ms 3516 KB Output is correct
3 Correct 291 ms 3260 KB Output is correct
4 Correct 448 ms 3440 KB Output is correct
5 Correct 469 ms 3488 KB Output is correct
6 Correct 447 ms 3332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 474 ms 5116 KB Output is correct
2 Correct 699 ms 5056 KB Output is correct
3 Correct 687 ms 5020 KB Output is correct
4 Correct 758 ms 5416 KB Output is correct
5 Correct 730 ms 5140 KB Output is correct
6 Correct 620 ms 5288 KB Output is correct
7 Correct 480 ms 5108 KB Output is correct
8 Correct 610 ms 5436 KB Output is correct
9 Correct 673 ms 5188 KB Output is correct
10 Correct 802 ms 6332 KB Output is correct
11 Correct 552 ms 5308 KB Output is correct