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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#76631 | #5120. Power of Two | perspective | TL | 492ms | 9228kb | C++23 | 8.8kb | 2023-02-11 04:23:45 | 2023-02-11 04:23:49 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define REP1(i, n) for(ll i = 0; i < (n); i++)
#define REP2(i, a, b) for(ll i = (a); i < (b); i++)
#define REP0(n) for(ll iii = 0; iii < (n); iii++)
#define overload3(a, b, c, name, ...) name
#define rep(...) overload3(__VA_ARGS__, REP2, REP1, REP0)(__VA_ARGS__)
#define si(c) (ll)(c.size())
#define pll pair<ll, ll>
#define vl vector<ll>
#define all(v) v.begin(), v.end()
#define fore(e, v) for(auto &&e : v)
template <typename T, typename S> bool chmax(T &x, const S &y) { return (x < y ? x = y, true : false); }
template <typename T, typename S> bool chmin(T &x, const S &y) { return (x > y ? x = y, true : false); }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) {
os << "{";
rep(i, si(v)) {
if(i) os << ", ";
os << v[i];
}
return os << "}";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int t;
cin >> t;
while(t--) {
ll n, x, y, z;
cin >> n >> x >> y >> z;
vector<ll> c(n);
fore(e, c) cin >> e;
ll k = 0;
vl v(n);
fore(e, c) v[e]++;
rep(i, n) k += (!!v[i]);
string op;
rep(x) op.push_back('&');
rep(z) op.push_back('^');
rep(y) op.push_back('|');
vl ans;
if(k == 1 or (x == n) or (y == n) or (z == n)) {
rep(i, n) ans.emplace_back(c[i]);
} else if(y + z <= k) {
for(ll i = n - 1; i >= 0; i--) {
if(v[i]) { ans.emplace_back(i); }
}
for(ll i = n - 1; i >= 0; i--) {
if(v[i]) rep(v[i] - 1) ans.emplace_back(i);
}
reverse(all(ans));
} else if(!x) {
int E = 0;
rep(i, n) if(~v[i] & 1) E++;
vl lst;
for(ll i = n - 1; i >= 0; i--) {
if(y and ~v[i] & 1 and v[i]) {
lst.emplace_back(i), v[i]--;
y--;
}
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
fore(e, lst) ans.emplace_back(e);
} else {
int E = 0;
rep(i, n) if(v[i] and ~v[i] & 1) E++;
vl lst;
if(x + y <= E) {
for(ll i = n - 1; i >= 0; i--) {
if(ans.size() < (E - x - y) and v[i] and ~v[i] & 1) {
ans.emplace_back(i);
v[i]--;
}
}
rep(i, E - x - y) {
op[i] = '^';
op[x + i] = '&';
}
for(ll i = n - 1; i >= 0; i--) {
if(ans.size() < E - y and v[i] and ~v[i] & 1) {
ans.emplace_back(i);
v[i]--;
}
}
for(ll i = n - 1; i >= 0; i--) {
if(lst.size() < y and v[i] and ~v[i] & 1) {
lst.emplace_back(i);
v[i]--;
}
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
fore(e, lst) ans.emplace_back(e);
} else {
if(!y) {
if(x == 1) {
// cout << "here" << endl;
rep(i, n) {
if(v[i]) {
v[i]--;
x--;
ans.emplace_back(i);
break;
}
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
} else if((E ^ x) & 1) {
swap(op[x], op[0]);
x++, z--;
int cnt = 0; // 2 個以上
rep(i, n) cnt += (v[i] > 1);
if(cnt >= 2) {
vl used(n);
for(ll i = n - 1; i >= 0; i--) {
if(v[i] and ~v[i] & 1) ans.emplace_back(i), v[i]--, x--, used[i] = true;
}
rep(i, n) if(!used[i]) {
if(x >= 2 and v[i] >= 2) {
v[i] -= 2, x -= 2;
rep(2) ans.emplace_back(i);
}
}
rep(i, n) while(x >= 2 and v[i] >= 2) {
v[i] -= 2, x -= 2;
rep(2) ans.emplace_back(i);
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
} else {
// cout << "here" << endl;
x--;
z++;
swap(op[x], op[0]);
int k = 0;
rep(i, n) {
if(v[i]) {
k = i;
break;
}
}
if(v[k] > 1) {
assert(v[k] >= x);
rep(i, x) v[k]--, ans.emplace_back(k), x--;
rep(i, n) rep(v[i]) ans.emplace_back(i);
} else {
ans.emplace_back(k);
v[k]--;
x--;
for(ll i = n - 1; i >= 0; i--) {
if(v[i] and ~v[i] & 1) v[i]--, ans.emplace_back(i), x--;
}
rep(i, n) while(x >= 2 and v[i] >= 2) {
rep(2) ans.emplace_back(i);
x -= 2, v[i] -= 2;
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
}
}
} else {
for(ll i = n - 1; i >= 0; i--) {
if(v[i] and ~v[i] & 1) ans.emplace_back(i), v[i]--, x--;
}
rep(i, n) {
while(v[i] >= 2 and x >= 2) {
v[i] -= 2, x -= 2;
rep(2) ans.emplace_back(i);
}
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
}
} else {
vl lst;
for(ll i = n - 1; i >= 0; i--) {
if(v[i] and ~v[i] & 1) {
ans.emplace_back(i), v[i]--, x--;
if(!x) break;
}
}
if(!x) {
rep(i, n) {
if(v[i] and ~v[i] & 1) { lst.emplace_back(i), v[i]--, y--; }
}
} else {
rep(i, n) {
while(v[i] >= 2 and x) {
if(x == 1) {
ans.emplace_back(i);
lst.emplace_back(i);
x--, y--;
} else {
rep(2) ans.emplace_back(i);
x -= 2;
}
v[i] -= 2;
}
}
assert(x == 0);
}
rep(i, n) rep(v[i]) ans.emplace_back(i);
fore(e, lst) ans.emplace_back(e);
}
}
}
map<ll, ll> mp;
rep(i, n) {
if(op[i] == '&') {
if(mp[ans[i]]) {
mp = map<ll, ll>();
mp[ans[i]] = 1;
} else {
mp = map<ll, ll>();
}
}
if(op[i] == '^') mp[ans[i]] ^= 1;
if(op[i] == '|') mp[ans[i]] |= 1;
}
// {
// auto C = c;
// sort(all(C));
// auto D = ans;
// sort(all(D));
// assert(C == D);
// }
rep(i, n) cout << mp[n - 1 - i];
cout << endl;
cout << op << endl;
rep(i, n) cout << ans[i] << " \n"[i == n - 1];
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3444kb
input:
4 4 3 0 1 1 0 1 0 4 1 0 3 1 0 1 0 8 0 2 6 1 5 5 7 1 5 5 7 8 0 0 8 1 5 5 7 1 5 5 7
output:
0010 &&&^ 0 1 0 1 0011 ^&^^ 1 0 0 1 10100000 ^^^^^^|| 1 1 5 5 5 7 7 5 00000000 ^^^^^^^^ 1 5 5 7 1 5 5 7
result:
ok ok the answer is correct (4 test cases)
Test #2:
score: 0
Accepted
time: 492ms
memory: 9228kb
input:
16 65511 1 1 65509 42389 52308 9452 29149 28980 48173 38152 51625 29991 48293 12319 38611 47245 11954 45410 33185 30976 56806 18986 35564 25430 48493 26311 19090 42172 33403 62406 15847 51266 33712 53139 15610 50006 62298 28716 19191 3057 35733 12331 14483 9604 16610 18534 32110 35673 5239 31310 279...
output:
011100011111111101111001001110101111111101101101011111011100100111011110101110111110111001110100111101110110111100111101101101111110110101011011111111011111110111000110010000010111011100111101111101111111010001010110100100000110101000001011101011001111110011101111010011101101111010101110011101111110...
result:
ok ok the answer is correct (16 test cases)
Test #3:
score: 0
Accepted
time: 2ms
memory: 3400kb
input:
3 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0
output:
1 ^ 0 1 | 0 0 & 0
result:
ok ok the answer is correct (3 test cases)
Test #4:
score: 0
Accepted
time: 1ms
memory: 3356kb
input:
12 2 0 0 2 0 0 2 0 1 1 0 0 2 0 2 0 0 0 2 1 0 1 0 0 2 1 1 0 0 0 2 2 0 0 0 0 2 0 0 2 0 1 2 0 1 1 0 1 2 0 2 0 0 1 2 1 0 1 0 1 2 1 1 0 0 1 2 2 0 0 0 1
output:
00 ^^ 0 0 01 ^| 0 0 01 || 0 0 01 &^ 0 0 01 &| 0 0 00 && 0 0 11 ^^ 0 1 11 ^| 0 1 11 || 0 1 10 &^ 0 1 10 &| 0 1 00 && 0 1
result:
ok ok the answer is correct (12 test cases)
Test #5:
score: 0
Accepted
time: 2ms
memory: 3340kb
input:
40 3 0 0 3 0 0 0 3 0 1 2 0 0 0 3 0 2 1 0 0 0 3 0 3 0 0 0 0 3 1 0 2 0 0 0 3 1 1 1 0 0 0 3 1 2 0 0 0 0 3 2 0 1 0 0 0 3 2 1 0 0 0 0 3 3 0 0 0 0 0 3 0 0 3 0 1 1 3 0 1 2 0 1 1 3 0 2 1 0 1 1 3 0 3 0 0 1 1 3 1 0 2 0 1 1 3 1 1 1 0 1 1 3 1 2 0 0 1 1 3 2 0 1 0 1 1 3 2 1 0 0 1 1 3 3 0 0 0 1 1 3 0 0 3 0 0 1 3 0...
output:
001 ^^^ 0 0 0 001 ^^| 0 0 0 001 ^|| 0 0 0 001 ||| 0 0 0 000 &^^ 0 0 0 001 &^| 0 0 0 001 &|| 0 0 0 001 &&^ 0 0 0 001 &&| 0 0 0 000 &&& 0 0 0 001 ^^^ 0 1 1 011 ^^| 0 1 1 011 ^|| 0 1 1 011 ||| 0 1 1 011 &^^ 1 0 1 011 &^| 1 0 1 011 &|| 1 0 1 010 &&^ 1 0 1 010 &&| 1 0 1 000 &&& 0 1 1 010 ^^^ 0 0 1 011 ^^...
result:
ok ok the answer is correct (40 test cases)
Test #6:
score: 0
Accepted
time: 5ms
memory: 3332kb
input:
120 4 0 0 4 0 0 0 0 4 0 1 3 0 0 0 0 4 0 2 2 0 0 0 0 4 0 3 1 0 0 0 0 4 0 4 0 0 0 0 0 4 1 0 3 0 0 0 0 4 1 1 2 0 0 0 0 4 1 2 1 0 0 0 0 4 1 3 0 0 0 0 0 4 2 0 2 0 0 0 0 4 2 1 1 0 0 0 0 4 2 2 0 0 0 0 0 4 3 0 1 0 0 0 0 4 3 1 0 0 0 0 0 4 4 0 0 0 0 0 0 4 0 0 4 1 1 0 1 4 0 1 3 1 1 0 1 4 0 2 2 1 1 0 1 4 0 3 1 ...
output:
0000 ^^^^ 0 0 0 0 0001 ^^^| 0 0 0 0 0001 ^^|| 0 0 0 0 0001 ^||| 0 0 0 0 0001 |||| 0 0 0 0 0001 &^^^ 0 0 0 0 0001 &^^| 0 0 0 0 0001 &^|| 0 0 0 0 0001 &||| 0 0 0 0 0000 &&^^ 0 0 0 0 0001 &&^| 0 0 0 0 0001 &&|| 0 0 0 0 0001 &&&^ 0 0 0 0 0001 &&&| 0 0 0 0 0000 &&&& 0 0 0 0 0011 ^^^^ 1 1 0 1 0011 ^^^| 0 ...
result:
ok ok the answer is correct (120 test cases)
Test #7:
score: 0
Accepted
time: 6ms
memory: 3340kb
input:
336 5 0 0 5 0 0 0 0 0 5 0 1 4 0 0 0 0 0 5 0 2 3 0 0 0 0 0 5 0 3 2 0 0 0 0 0 5 0 4 1 0 0 0 0 0 5 0 5 0 0 0 0 0 0 5 1 0 4 0 0 0 0 0 5 1 1 3 0 0 0 0 0 5 1 2 2 0 0 0 0 0 5 1 3 1 0 0 0 0 0 5 1 4 0 0 0 0 0 0 5 2 0 3 0 0 0 0 0 5 2 1 2 0 0 0 0 0 5 2 2 1 0 0 0 0 0 5 2 3 0 0 0 0 0 0 5 3 0 2 0 0 0 0 0 5 3 1 1 ...
output:
00001 ^^^^^ 0 0 0 0 0 00001 ^^^^| 0 0 0 0 0 00001 ^^^|| 0 0 0 0 0 00001 ^^||| 0 0 0 0 0 00001 ^|||| 0 0 0 0 0 00001 ||||| 0 0 0 0 0 00000 &^^^^ 0 0 0 0 0 00001 &^^^| 0 0 0 0 0 00001 &^^|| 0 0 0 0 0 00001 &^||| 0 0 0 0 0 00001 &|||| 0 0 0 0 0 00001 &&^^^ 0 0 0 0 0 00001 &&^^| 0 0 0 0 0 00001 &&^|| 0 ...
result:
ok ok the answer is correct (336 test cases)
Test #8:
score: 0
Accepted
time: 3ms
memory: 3336kb
input:
896 6 0 0 6 0 0 0 0 0 0 6 0 1 5 0 0 0 0 0 0 6 0 2 4 0 0 0 0 0 0 6 0 3 3 0 0 0 0 0 0 6 0 4 2 0 0 0 0 0 0 6 0 5 1 0 0 0 0 0 0 6 0 6 0 0 0 0 0 0 0 6 1 0 5 0 0 0 0 0 0 6 1 1 4 0 0 0 0 0 0 6 1 2 3 0 0 0 0 0 0 6 1 3 2 0 0 0 0 0 0 6 1 4 1 0 0 0 0 0 0 6 1 5 0 0 0 0 0 0 0 6 2 0 4 0 0 0 0 0 0 6 2 1 3 0 0 0 0 ...
output:
000000 ^^^^^^ 0 0 0 0 0 0 000001 ^^^^^| 0 0 0 0 0 0 000001 ^^^^|| 0 0 0 0 0 0 000001 ^^^||| 0 0 0 0 0 0 000001 ^^|||| 0 0 0 0 0 0 000001 ^||||| 0 0 0 0 0 0 000001 |||||| 0 0 0 0 0 0 000001 &^^^^^ 0 0 0 0 0 0 000001 &^^^^| 0 0 0 0 0 0 000001 &^^^|| 0 0 0 0 0 0 000001 &^^||| 0 0 0 0 0 0 000001 &^|||| ...
result:
ok ok the answer is correct (896 test cases)
Test #9:
score: 0
Accepted
time: 1ms
memory: 3384kb
input:
2304 7 0 0 7 0 0 0 0 0 0 0 7 0 1 6 0 0 0 0 0 0 0 7 0 2 5 0 0 0 0 0 0 0 7 0 3 4 0 0 0 0 0 0 0 7 0 4 3 0 0 0 0 0 0 0 7 0 5 2 0 0 0 0 0 0 0 7 0 6 1 0 0 0 0 0 0 0 7 0 7 0 0 0 0 0 0 0 0 7 1 0 6 0 0 0 0 0 0 0 7 1 1 5 0 0 0 0 0 0 0 7 1 2 4 0 0 0 0 0 0 0 7 1 3 3 0 0 0 0 0 0 0 7 1 4 2 0 0 0 0 0 0 0 7 1 5 1 0...
output:
0000001 ^^^^^^^ 0 0 0 0 0 0 0 0000001 ^^^^^^| 0 0 0 0 0 0 0 0000001 ^^^^^|| 0 0 0 0 0 0 0 0000001 ^^^^||| 0 0 0 0 0 0 0 0000001 ^^^|||| 0 0 0 0 0 0 0 0000001 ^^||||| 0 0 0 0 0 0 0 0000001 ^|||||| 0 0 0 0 0 0 0 0000001 ||||||| 0 0 0 0 0 0 0 0000000 &^^^^^^ 0 0 0 0 0 0 0 0000001 &^^^^^| 0 0 0 0 0 0 0 ...
result:
ok ok the answer is correct (2304 test cases)
Test #10:
score: 0
Accepted
time: 45ms
memory: 3388kb
input:
5760 8 0 0 8 0 0 0 0 0 0 0 0 8 0 1 7 0 0 0 0 0 0 0 0 8 0 2 6 0 0 0 0 0 0 0 0 8 0 3 5 0 0 0 0 0 0 0 0 8 0 4 4 0 0 0 0 0 0 0 0 8 0 5 3 0 0 0 0 0 0 0 0 8 0 6 2 0 0 0 0 0 0 0 0 8 0 7 1 0 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 8 1 0 7 0 0 0 0 0 0 0 0 8 1 1 6 0 0 0 0 0 0 0 0 8 1 2 5 0 0 0 0 0 0 0 0 8 1 3 4...
output:
00000000 ^^^^^^^^ 0 0 0 0 0 0 0 0 00000001 ^^^^^^^| 0 0 0 0 0 0 0 0 00000001 ^^^^^^|| 0 0 0 0 0 0 0 0 00000001 ^^^^^||| 0 0 0 0 0 0 0 0 00000001 ^^^^|||| 0 0 0 0 0 0 0 0 00000001 ^^^||||| 0 0 0 0 0 0 0 0 00000001 ^^|||||| 0 0 0 0 0 0 0 0 00000001 ^||||||| 0 0 0 0 0 0 0 0 00000001 |||||||| 0 0 0 0 0 ...
result:
ok ok the answer is correct (5760 test cases)
Test #11:
score: 0
Accepted
time: 116ms
memory: 3324kb
input:
14080 9 0 0 9 0 0 0 0 0 0 0 0 0 9 0 1 8 0 0 0 0 0 0 0 0 0 9 0 2 7 0 0 0 0 0 0 0 0 0 9 0 3 6 0 0 0 0 0 0 0 0 0 9 0 4 5 0 0 0 0 0 0 0 0 0 9 0 5 4 0 0 0 0 0 0 0 0 0 9 0 6 3 0 0 0 0 0 0 0 0 0 9 0 7 2 0 0 0 0 0 0 0 0 0 9 0 8 1 0 0 0 0 0 0 0 0 0 9 0 9 0 0 0 0 0 0 0 0 0 0 9 1 0 8 0 0 0 0 0 0 0 0 0 9 1 1 7 ...
output:
000000001 ^^^^^^^^^ 0 0 0 0 0 0 0 0 0 000000001 ^^^^^^^^| 0 0 0 0 0 0 0 0 0 000000001 ^^^^^^^|| 0 0 0 0 0 0 0 0 0 000000001 ^^^^^^||| 0 0 0 0 0 0 0 0 0 000000001 ^^^^^|||| 0 0 0 0 0 0 0 0 0 000000001 ^^^^||||| 0 0 0 0 0 0 0 0 0 000000001 ^^^|||||| 0 0 0 0 0 0 0 0 0 000000001 ^^||||||| 0 0 0 0 0 0 0 ...
result:
ok ok the answer is correct (14080 test cases)
Test #12:
score: 0
Accepted
time: 255ms
memory: 3472kb
input:
33792 10 0 0 10 0 0 0 0 0 0 0 0 0 0 10 0 1 9 0 0 0 0 0 0 0 0 0 0 10 0 2 8 0 0 0 0 0 0 0 0 0 0 10 0 3 7 0 0 0 0 0 0 0 0 0 0 10 0 4 6 0 0 0 0 0 0 0 0 0 0 10 0 5 5 0 0 0 0 0 0 0 0 0 0 10 0 6 4 0 0 0 0 0 0 0 0 0 0 10 0 7 3 0 0 0 0 0 0 0 0 0 0 10 0 8 2 0 0 0 0 0 0 0 0 0 0 10 0 9 1 0 0 0 0 0 0 0 0 0 0 10 ...
output:
0000000000 ^^^^^^^^^^ 0 0 0 0 0 0 0 0 0 0 0000000001 ^^^^^^^^^| 0 0 0 0 0 0 0 0 0 0 0000000001 ^^^^^^^^|| 0 0 0 0 0 0 0 0 0 0 0000000001 ^^^^^^^||| 0 0 0 0 0 0 0 0 0 0 0000000001 ^^^^^^|||| 0 0 0 0 0 0 0 0 0 0 0000000001 ^^^^^||||| 0 0 0 0 0 0 0 0 0 0 0000000001 ^^^^|||||| 0 0 0 0 0 0 0 0 0 0 000000...
result:
ok ok the answer is correct (33792 test cases)
Test #13:
score: -100
Time Limit Exceeded
input:
65536 16 3 8 5 8 10 13 14 9 12 5 4 13 5 3 14 2 2 5 11 16 4 5 7 2 10 10 4 15 2 14 5 11 12 4 12 5 4 12 11 16 2 0 14 15 3 6 8 5 12 2 2 13 1 4 8 9 1 1 9 16 13 1 2 1 12 9 3 15 10 6 8 13 15 7 12 13 12 3 2 16 2 2 12 3 3 11 10 6 8 6 1 14 2 11 12 2 3 5 2 16 6 3 7 14 12 6 11 7 6 8 13 4 2 4 10 14 4 7 10 16 8 7...
output:
0111111100111100 &&&^^^^^|||||||| 14 13 2 2 3 4 5 5 5 8 9 10 11 12 13 14 1101110000110100 &&&&^^^^^^^||||| 11 10 5 2 2 4 4 4 5 10 11 12 12 12 14 15 1011001101111110 ^&&^^^^^^^^^^^^^ 9 8 2 1 1 1 2 3 4 5 6 8 9 12 13 15 1011000000000000 &&&&&&&&&&&&&^^| 3 12 12 13 15 1 2 3 6 7 8 9 10 12 13 15 010111010...