Submission #68665

# Submission time Handle Problem Language Result Execution time Memory
68665 2018-08-17T21:59:07 Z FLDutchman Scales (IOI15_scales) C++14
100 / 100
23 ms 892 KB
#include "scales.h"
#include <bits/stdc++.h>
using namespace std;

typedef int INT;

#define FOR(i,l,r) for(int i = (l); i < (r); i++)
#define fst first
#define snd second
#define pb push_back

typedef vector<int> vi;
typedef pair<int,int> ii;
typedef vector<ii> vii;
typedef vector<vi> vvi;

vi op;
vvi args;
// this corresponds to the relative weight of the coins
vvi perms;
vi ans;
int pows[] = {1,3,9,27,81,243,729};

int heavy(int i, int A, int B, int C){
    vi &p = perms[i];
    if(p[A] > p[B] and p[A] > p[C]) return 0;
    if(p[B] > p[A] and p[B] > p[C]) return 1;
    if(p[C] > p[B] and p[C] > p[A]) return 2;
}

int light(int i, int A, int B, int C){
    vi &p = perms[i];
    if(p[A] < p[B] and p[A] < p[C]) return 0;
    if(p[B] < p[A] and p[B] < p[C]) return 1;
    if(p[C] < p[B] and p[C] < p[A]) return 2;
}

int median(int i, int A, int B, int C){
    vi &p = perms[i];
    vi arr(3, 0);
    arr[0] = A; arr[1] = B; arr[2] = C;
    sort(arr.begin(), arr.end(), [&p] (int i, int j) {return p[i] < p[j];});
    if(arr[1] == A) return 0;
    if(arr[1] == B) return 1;
    if(arr[1] == C) return 2;
}

int nextl(int i, int A, int B, int C, int D){
    vi &p = perms[i];
    int l = 100;
    if(p[A] > p[D] and p[A] < l) l = p[A];
    if(p[B] > p[D] and p[B] < l) l = p[B];
    if(p[C] > p[D] and p[C] < l) l = p[C];
    if(l == 100) return light(i, A, B, C);
    if(l == p[A]) return 0;
    if(l == p[B]) return 1;
    if(l == p[C]) return 2;
}
int maxh = 0;
int leafcnt = 0;
int cnt;
int build(vi &ps, int n, int h){
    if(h > 6) return ps.size() == 0;
    maxh = max(h, maxh);
    ans[n] = -1;
    //if(h < 5) return;
    //cout << ps.size() << " " << n << " " << h  << endl;
    for(int i : ps){ 
        //for(int k : perms[i]) cout << k << " ";
        //cout << endl;
    }
    //cout<<endl;
    if(ps.size() == 0) return 1;
    if(ps.size() == 1){
        leafcnt++;
        cnt += h > 6;
        ans[n] = ps[0];
        return 1;
    }
    vi bestars; int bestop;
    double bestentropy = 0;
    // All must be <= |ps|/3


    FOR(a, 0, 4) FOR(b, a+1, 5) FOR(c, b+1, 6){
        //cerr<<a<<" "<<b<<" "<<c<<endl;
        vvi division(3);
        for(int i : ps) division[light(i, a, b, c)].pb(i);
        if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            bool done = 1;    
            FOR(i, 0, 3){
                //cout << 0 << endl;
                if(!build(division[i], 3*n+i-1, h+1)) {done = false; break;}
            }
            if(done) {
                args[n].pb(a); args[n].pb(b); args[n].pb(c);
                op[n] = 0;
                return 1;
            }
        }
    }
    
    FOR(a, 0, 4) FOR(b, a+1, 5) FOR(c, b+1, 6){
        vvi division(3);
        for(int i : ps) division[heavy(i, a, b, c)].pb(i);
        if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            bool done = 1;    
            FOR(i, 0, 3){
                //cout << 1 << endl;
                if(!build(division[i], 3*n+i-1, h+1)) {done = false; break;}
            }
            if(done) {
                args[n].pb(a); args[n].pb(b); args[n].pb(c);
                op[n] = 1;
                return 1;
            }
        }
    }
    
    FOR(a, 0, 4) FOR(b, a+1, 5) FOR(c, b+1, 6){
        vvi division(3);
        for(int i : ps) division[median(i, a, b, c)].pb(i);
        if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            bool done = 1;    
            FOR(i, 0, 3){
                //cout << 2 << endl;
                if(!build(division[i], 3*n+i-1, h+1)) {done = false; break;}
            }
            if(done) {
                args[n].pb(a); args[n].pb(b); args[n].pb(c);
                op[n] = 2;
                return 1;
            }
        }
    }
    FOR(d, 0, 6) FOR(a, 0, 4) FOR(b, a+1, 5) FOR(c, b+1, 6){
        //cout<<"lastl test"<<endl;
        if(d == a or d == b or d == c) continue;
        vvi division(3);
        for(int i : ps) division[nextl(i, a, b, c, d)].pb(i);
        //cout << division[0].size() << " " << division[1].size() << " " << division[2].size() << endl;
        if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            bool done = 1;    
            //cout << 3 << endl;
            FOR(i, 0, 3){
                if(!build(division[i], 3*n+i-1, h+1)) {done = false; break;}
            }
            if(done) {
                args[n].pb(a); args[n].pb(b); args[n].pb(c); args[n].pb(d);
                op[n] = 3;
                return 1;
            }
        }
    }
    return 0;
}

int query(int i, vi arg){
    int val = -1;
    if(i == 0) val = getLightest(arg[0]+1, arg[1]+1, arg[2]+1)-1;
    if(i == 1) val = getHeaviest(arg[0]+1, arg[1]+1, arg[2]+1)-1;
    if(i == 2) val = getMedian(arg[0]+1, arg[1]+1, arg[2]+1)-1;
    if(i == 3) val = getNextLightest(arg[0]+1, arg[1]+1, arg[2]+1, arg[3]+1)-1;
    FOR(i, 0, 3) if(val == arg[i]) return i;
}

int get(int n){
    //cout<<n<<endl;
    if(ans[n] != -1) return ans[n];
    return get( 3*n-1 + query(op[n], args[n]) );
}

void init(INT T) {
    op.assign(5000, -1);
    args.resize(5000);
    ans.assign(5000, -1);
    vi p;
    FOR(i,0,6) p.pb(i);
    do {
        perms.pb(p);
    } while(next_permutation(p.begin(), p.end()));
    //cerr<<perms.size()<<endl;
    //for(int w : perms[100]) cout << w << " ";
    //cout<<endl;
    //cerr<< median(100, 2, 5, 3) << endl;
    vi all;
    FOR(i, 0, 720)all.pb(i);
    build(all, 1, 0);
    //cout<<"initialized"<<endl;
    //cout<<maxh<<endl;
    //cout<<cnt<<endl;
    /*cout<<leafcnt<<endl;
    FOR(i, 0, 720){
        for(int k : perms[i]) cout << k+1 << " ";
        cout<<endl;
    }*/
}

void orderCoins() {
    /* ... */
    INT W[] = {1, 2, 3, 4, 5, 6};
    int i = get(1);
    FOR(j, 0, 6) W[perms[i][j]] = j+1;
    answer(W);
}

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 lambda function:
scales.cpp:42:52: warning: declaration of 'int i' shadows a parameter [-Wshadow]
     sort(arr.begin(), arr.end(), [&p] (int i, int j) {return p[i] < p[j];});
                                                    ^
scales.cpp:38:16: note: shadowed declaration is here
 int median(int i, int A, int B, int C){
                ^
scales.cpp: In function 'int build(vi&, int, int)':
scales.cpp:68:13: warning: unused variable 'i' [-Wunused-variable]
     for(int i : ps){ 
             ^
scales.cpp:89:56: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:89:92: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
                                                                         ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:106:56: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:106:92: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
                                                                         ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:123:56: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:123:92: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
                                                                         ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:142:56: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:142:92: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(max(division[0].size(), division[1].size()) <= pows[5-h] and division[2].size() <= pows[5-h]) {
                                                                         ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
scales.cpp:80:21: warning: unused variable 'bestop' [-Wunused-variable]
     vi bestars; int bestop;
                     ^~~~~~
scales.cpp:81:12: warning: unused variable 'bestentropy' [-Wunused-variable]
     double bestentropy = 0;
            ^~~~~~~~~~~
scales.cpp: In function 'int query(int, vi)':
scales.cpp:164:9: warning: declaration of 'int i' shadows a parameter [-Wshadow]
     FOR(i, 0, 3) if(val == arg[i]) return i;
         ^
scales.cpp:7:28: note: in definition of macro 'FOR'
 #define FOR(i,l,r) for(int i = (l); i < (r); i++)
                            ^
scales.cpp:158:15: note: shadowed declaration is here
 int query(int i, vi arg){
               ^
scales.cpp: In function 'void init(INT)':
scales.cpp:173:15: warning: unused parameter 'T' [-Wunused-parameter]
 void init(INT T) {
               ^
scales.cpp: In function 'int heavy(int, int, int, int)':
scales.cpp:29:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
scales.cpp: In function 'int light(int, int, int, int)':
scales.cpp:36:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
scales.cpp: In function 'int median(int, int, int, int)':
scales.cpp:46:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
scales.cpp: In function 'int nextl(int, int, int, int, int)':
scales.cpp:58:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
scales.cpp: In function 'int query(int, vi)':
scales.cpp:165:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
# Verdict Execution time Memory Grader output
1 Correct 14 ms 504 KB Output is correct
2 Correct 15 ms 616 KB Output is correct
3 Correct 14 ms 684 KB Output is correct
4 Correct 16 ms 684 KB Output is correct
5 Correct 15 ms 684 KB Output is correct
6 Correct 13 ms 708 KB Output is correct
7 Correct 14 ms 708 KB Output is correct
8 Correct 15 ms 708 KB Output is correct
9 Correct 14 ms 776 KB Output is correct
10 Correct 17 ms 776 KB Output is correct
11 Correct 15 ms 776 KB Output is correct
12 Correct 16 ms 776 KB Output is correct
13 Correct 15 ms 776 KB Output is correct
14 Correct 18 ms 776 KB Output is correct
15 Correct 17 ms 776 KB Output is correct
16 Correct 15 ms 816 KB Output is correct
17 Correct 15 ms 816 KB Output is correct
18 Correct 16 ms 816 KB Output is correct
19 Correct 13 ms 816 KB Output is correct
20 Correct 14 ms 816 KB Output is correct
21 Correct 14 ms 816 KB Output is correct
22 Correct 15 ms 816 KB Output is correct
23 Correct 15 ms 816 KB Output is correct
24 Correct 16 ms 892 KB Output is correct
25 Correct 15 ms 892 KB Output is correct
26 Correct 16 ms 892 KB Output is correct
27 Correct 15 ms 892 KB Output is correct
28 Correct 23 ms 892 KB Output is correct
29 Correct 14 ms 892 KB Output is correct
30 Correct 14 ms 892 KB Output is correct
31 Correct 14 ms 892 KB Output is correct
32 Correct 14 ms 892 KB Output is correct
33 Correct 15 ms 892 KB Output is correct
34 Correct 15 ms 892 KB Output is correct
35 Correct 15 ms 892 KB Output is correct
36 Correct 14 ms 892 KB Output is correct
37 Correct 17 ms 892 KB Output is correct
38 Correct 15 ms 892 KB Output is correct
39 Correct 14 ms 892 KB Output is correct
40 Correct 14 ms 892 KB Output is correct