Submission #53928

# Submission time Handle Problem Language Result Execution time Memory
53928 2018-07-01T23:38:31 Z Benq Scales (IOI15_scales) C++14
100 / 100
306 ms 1100 KB
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;
 
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 sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()

const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;


// GRADER

#include "scales.h"

/*vi VAL = {0,3,2,4,1,5,6};

void answer(int* v) {
    F0R(i,6) cout << v[i] << " ";
    cout << "\n";
}

bool CMP(int a, int b) { return VAL[a] < VAL[b]; }
int GETR(vi a, int b) { sort(all(a),CMP); return a[b]; }
int getLightest(int A, int B, int C) { return GETR({A,B,C},0); }
int getHeaviest(int A, int B, int C) { return GETR({A,B,C},2); }
int getMedian(int A, int B, int C) { return GETR({A,B,C},1); }
int getNextLightest(int A, int B, int C, int D) {
    vi z = {A,B,C}; sort(all(z),CMP);
    F0R(i,3) if (CMP(D,z[i])) return z[i];
    return z[0];
}*/

vi val(6);
vector<vi> al;

bool cmp(int a, int b) { return val[a] < val[b]; }
int getR(vi a, int b) { sort(all(a),cmp); return a[b]; }
int lightest(int A, int B, int C) { return getR({A,B,C},0); }
int heaviest(int A, int B, int C) { return getR({A,B,C},2); }
int median(int A, int B, int C) { return getR({A,B,C},1); }
int nextlightest(int A, int B, int C, int D) {
    vi z = {A,B,C}; sort(all(z),cmp);
    F0R(i,3) if (cmp(D,z[i])) return z[i];
    return z[0];
}

bool bad(bitset<720> b, int num) {
    if (pow(3,num) < b.count()) return 1;
    return 0;
}

int eval(int ind, vi v) {
    vi VAL = val;
    F0R(i,6) val[al[ind][i]] = i;
    int z = -1;
    if (v[0] == 3) z = nextlightest(v[1],v[2],v[3],v[4]);
    if (v[0] == 0) z = lightest(v[1],v[2],v[3]);
    if (v[0] == 1) z = median(v[1],v[2],v[3]);
    if (v[0] == 2) z = heaviest(v[1],v[2],v[3]);
    val = VAL;
    return z;
}

struct CMPCMP {
    bool operator()(const pair<bitset<720>,int>& l, const pair<bitset<720>,int>& r) const {
        F0R(i,720) if (l.f[i] != r.f[i]) return l.f[i] < r.f[i];
        return l.s < r.s;
    }
};

map<pair<bitset<720>,int>,bool,CMPCMP> good;

vector<bitset<720>> gen(bitset<720> b, vi v) {
    bitset<720> tmp[6];
    F0R(i,720) if (b[i]) tmp[eval(i,v)][i] = 1;
    vector<bitset<720>> ans;
    F0R(i,6) if (tmp[i].count()) ans.pb(tmp[i]);
    return ans;
}

bool guarantee(bitset<720> b, int num) {
    if (b.count() == 1) return 1;
    if (bad(b,num)) return 0;
    if (good.count({b,num})) return good[{b,num}];
    F0R(i,6) FOR(j,i+1,6) FOR(k,j+1,6) F0R(l,6) if (l != i && l != j && l != k) {
        vector<bitset<720>> v = gen(b,{3,i,j,k,l});
        bool tri = 1;
        for (auto a: v) if (bad(a,num-1)) {
            tri = 0;
            break;
        }
        if (tri) {
            for (auto a: v) if (!guarantee(a,num-1)) {
                tri = 0;
                break;
            }
            if (tri) {
                /*if (b.count() >= 80) {
                    for (auto a: v) cout << "ZZ " << b.count() << " " << a.count() << " " << good[{a,num-1}] << " " << a << "\n";
                }*/
                return good[{b,num}] = 1;
            }
        }
    }
    F0R(z,3) F0R(i,6) FOR(j,i+1,6) FOR(k,j+1,6)  {
        vector<bitset<720>> v = gen(b,{z,i,j,k});
        bool tri = 1;
        for (auto a: v) if (bad(a,num-1)) {
            tri = 0;
            break;
        }
        if (tri) {
            for (auto a: v) if (!guarantee(a,num-1)) {
                tri = 0;
                break;
            }
            if (tri) {
                return good[{b,num}] = 1;
            }
        }
    }
    return good[{b,num}] = 0;
}

void init(int T) {
    al.clear();
    vi z = {0,1,2,3,4,5};
    do {
        al.pb(z);
    } while (next_permutation(all(z)));
    
    bitset<720> x; F0R(i,720) x[i] = 1;
    guarantee(x,6);
}

void solve(bitset<720> b, int num) {
    if (b.count() == 1) {
        F0R(i,720) if (b[i]) {
            int vv[6];
            F0R(j,6) vv[j] = al[i][j]+1;
            answer(vv);
        }
        return;
    }
    if (!good.count({b,num})) {
        cout << "OOPS " << b.count() << " " << num << " " << b << "\n";
        return;
    }
    F0R(i,6) FOR(j,i+1,6) FOR(k,j+1,6) F0R(l,6) if (l != i && l != j && l != k) {
        vector<bitset<720>> v = gen(b,{3,i,j,k,l});
        
        bool tri = 1;
        for (auto a: v) if (!good.count({a,num-1}) || good[{a,num-1}] == 0) {
            tri = 0;
            break;
        }
        if (tri) {
            /*cout << "HUH " << i << " " << j << " " << k << " " << l << "\n";
            for (auto a: v) cout << a.count() << " ";
            cout << "\n";*/
            if (tri) {
                int x = getNextLightest(i+1,j+1,k+1,l+1)-1;
                bitset<720> B;
                F0R(I,720) {
                    // cout << eval(I,{0,i,j,k,l}) << "\n";
                    if (b[I] && eval(I,{3,i,j,k,l}) == x) B[I] = 1;
                }
                solve(B,num-1);
                return;
            }
        }
    }
    F0R(i,6) FOR(j,i+1,6) FOR(k,j+1,6)  {
        vector<bitset<720>> v = gen(b,{0,i,j,k});
        bool tri = 1;
        for (auto a: v) if (bad(a,num-1)) {
            tri = 0;
            break;
        }
        if (tri) {
            for (auto a: v) if (!guarantee(a,num-1)) {
                tri = 0;
                break;
            }
            if (tri) {
                int x = getLightest(i+1,j+1,k+1)-1;
                bitset<720> B;
                F0R(I,720) {
                    // cout << eval(I,{0,i,j,k,l}) << "\n";
                    if (b[I] && eval(I,{0,i,j,k}) == x) B[I] = 1;
                }
                solve(B,num-1);
                return;
            }
        }
    }
    F0R(i,6) FOR(j,i+1,6) FOR(k,j+1,6)  {
        vector<bitset<720>> v = gen(b,{1,i,j,k});
        bool tri = 1;
        for (auto a: v) if (bad(a,num-1)) {
            tri = 0;
            break;
        }
        if (tri) {
            for (auto a: v) if (!guarantee(a,num-1)) {
                tri = 0;
                break;
            }
            if (tri) {
                int x = getMedian(i+1,j+1,k+1)-1;
                bitset<720> B;
                F0R(I,720) {
                    // cout << eval(I,{0,i,j,k,l}) << "\n";
                    if (b[I] && eval(I,{1,i,j,k}) == x) B[I] = 1;
                }
                solve(B,num-1);
                return;
            }
        }
    }
    F0R(i,6) FOR(j,i+1,6) FOR(k,j+1,6)  {
        vector<bitset<720>> v = gen(b,{2,i,j,k});
        bool tri = 1;
        for (auto a: v) if (bad(a,num-1)) {
            tri = 0;
            break;
        }
        if (tri) {
            for (auto a: v) if (!guarantee(a,num-1)) {
                tri = 0;
                break;
            }
            if (tri) {
                int x = getHeaviest(i+1,j+1,k+1)-1;
                bitset<720> B;
                F0R(I,720) {
                    // cout << eval(I,{0,i,j,k,l}) << "\n";
                    if (b[I] && eval(I,{2,i,j,k}) == x) B[I] = 1;
                }
                solve(B,num-1);
                return;
            }
        }
    }
}

void orderCoins() {
    bitset<720> b; F0R(i,720) b[i] = 1;
    solve(b,6);
}

/*int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    init(1);
    orderCoins();
    orderCoins();
}*/

// read the question correctly (is y a vowel? what are the exact constraints?)
// look out for SPECIAL CASES (n=1?) and overflow (ll vs int?) ARRAY OUT OF BOUNDSS

Compilation message

In file included from grader.c:2:0:
graderlib.c: In function 'void answer(int*)':
graderlib.c:53:5: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
     if (_ghksjhdfkae19ga_ > 1) 
     ^~
graderlib.c:56:2: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
  for (i = 0; i < 6; i++) {
  ^~~
scales.cpp: In function 'bool bad(std::bitset<720>, int)':
scales.cpp:81:29: warning: conversion to '__gnu_cxx::__promote_2<int, int, double, double>::__type {aka double}' from 'std::size_t {aka long unsigned int}' may alter its value [-Wconversion]
     if (pow(3,num) < b.count()) return 1;
                      ~~~~~~~^~
scales.cpp: In function 'void init(int)':
scales.cpp:158:15: warning: unused parameter 'T' [-Wunused-parameter]
 void init(int T) {
               ^
# Verdict Execution time Memory Grader output
1 Correct 257 ms 600 KB Output is correct
2 Correct 226 ms 628 KB Output is correct
3 Correct 228 ms 680 KB Output is correct
4 Correct 254 ms 680 KB Output is correct
5 Correct 244 ms 788 KB Output is correct
6 Correct 238 ms 788 KB Output is correct
7 Correct 241 ms 876 KB Output is correct
8 Correct 237 ms 876 KB Output is correct
9 Correct 277 ms 876 KB Output is correct
10 Correct 306 ms 1040 KB Output is correct
11 Correct 240 ms 1040 KB Output is correct
12 Correct 263 ms 1040 KB Output is correct
13 Correct 231 ms 1040 KB Output is correct
14 Correct 232 ms 1040 KB Output is correct
15 Correct 267 ms 1040 KB Output is correct
16 Correct 228 ms 1040 KB Output is correct
17 Correct 241 ms 1040 KB Output is correct
18 Correct 227 ms 1040 KB Output is correct
19 Correct 232 ms 1040 KB Output is correct
20 Correct 289 ms 1060 KB Output is correct
21 Correct 230 ms 1060 KB Output is correct
22 Correct 234 ms 1060 KB Output is correct
23 Correct 246 ms 1060 KB Output is correct
24 Correct 284 ms 1060 KB Output is correct
25 Correct 262 ms 1060 KB Output is correct
26 Correct 260 ms 1060 KB Output is correct
27 Correct 272 ms 1092 KB Output is correct
28 Correct 256 ms 1092 KB Output is correct
29 Correct 266 ms 1092 KB Output is correct
30 Correct 249 ms 1092 KB Output is correct
31 Correct 265 ms 1092 KB Output is correct
32 Correct 269 ms 1092 KB Output is correct
33 Correct 227 ms 1092 KB Output is correct
34 Correct 235 ms 1092 KB Output is correct
35 Correct 226 ms 1092 KB Output is correct
36 Correct 228 ms 1092 KB Output is correct
37 Correct 227 ms 1092 KB Output is correct
38 Correct 238 ms 1100 KB Output is correct
39 Correct 287 ms 1100 KB Output is correct
40 Correct 289 ms 1100 KB Output is correct