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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#727944 | #5983. Pretty Good Proportion | londono | 27 ✓ | 6383ms | 68820kb | C++14 | 2.4kb | 2024-11-09 14:13:48 | 2024-11-09 14:13:48 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
#define dec double
using namespace std;
const int MAXN = (int)5e5+5;
const dec eps = 1e-7;
int n; char a[MAXN]; dec p, pp;
int pre[MAXN];
dec calc(int l, int r) { return (dec)(pre[r]-pre[l-1])/(r-l+1); }
int l, r; dec now;
void upd(int nl, int nr) {
dec tmp = calc(nl, nr);
if (fabs(tmp-pp)<fabs(now-pp) || (fabs(tmp-pp)<fabs(now-pp)+eps&&nl<l)) {
now=tmp;
l = nl, r = nr;
}
}
#define pdi pair<dec,int>
#define mk make_pair
set<pdi> s; map<dec,bool> vis, _;
int main() {
// g++ code.cpp -o code.exe -std=c++14 -O2 -fno-ms-extensions "-Wl,--stack=1000000000" -DLOCAL; ./code
time_t stm = clock();
#ifdef LOCAL
freopen("data.in", "r", stdin);
freopen("ans.out", "w", stdout);
#else
// freopen("tii.in", "r", stdin);
// freopen("tii.out", "w", stdout);
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
#endif
int Case = 0;
int T; cin >> T; while (T--) {
cin >> n >> p >> (a+1);
if (p > 1.0-eps || (p < 0.5 && p > eps)) {
p = 1.0-p;
for (int i = 1; i <= n; i++) {
a[i] = '0' + ((a[i]-'0')^1);
}
}
pp = p;
p /= (p-1.0);
for (int i = 1; i <= n; i++) {
pre[i]=pre[i-1]+(a[i]=='1');
}
now = 2;
s.clear(); vis = _;
dec pre = 0;
s.insert(mk(0, 1)); vis[0] = 1;
for (int i = 1; i <= n; i++) {
pre += (a[i]=='0'?p:1);
// printf("->>>>>>>>>>>%d %.2lf\n", i, pre);
auto it = s.upper_bound(mk(pre, i+1));
// if (it != s.end()) printf("[%d] !%d\n", i, (*it).second);
if (it != s.end()) upd((*it).second, i); //, puts("A");
if (it != s.begin()) --it, upd((*it).second, i); //, puts("B");
// if (it != s.end()) printf("[%d] ?%d\n", i, (*it).second);
if (!vis[pre]) vis[pre] = 1, s.insert(mk(pre,i+1));
// printf("LINE %d: \n", i);
// for (auto it = s.begin(); it != s.end(); it++) {
// printf("[%.2lf,%d]", (*it).first, (*it).second);
// } puts("");
}
cout << "Case #" << (++Case) << ": " << (l-1) << '\n';
}
cerr << "Exec Time: " << (double)(clock()-stm)/CLOCKS_PER_SEC << "s" << endl;
return 0;
}
Details
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Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 7ms
memory: 4076kb
input:
100 10 0.827672 0010101011 4 0.932623 0100 1000 0.834002 011001110010111110000110101100010010100101101110110111100010101101111100110001011000110100010100011011000001100001010110111101111010110110000110011000111000011110101100100111111001111011011100111001011101010100111011100011110011100011110010001...
output:
Case #1: 6 Case #2: 1 Case #3: 10 Case #4: 0 Case #5: 0 Case #6: 1 Case #7: 0 Case #8: 0 Case #9: 0 Case #10: 0 Case #11: 0 Case #12: 4 Case #13: 5 Case #14: 564 Case #15: 0 Case #16: 0 Case #17: 0 Case #18: 0 Case #19: 0 Case #20: 0 Case #21: 0 Case #22: 0 Case #23: 0 Case #24: 844 Case #25: 0 Case...
result:
ok 100 lines
Subtask #2:
score: 22
Accepted
Test #2:
score: 22
Accepted
time: 6383ms
memory: 68820kb
input:
100 15 0.333333 000000000011000 10 0.418754 0101100001 2 0.499999 01 3 0.977951 001 2 0.249999 01 10 0.670229 0111011001 1000 0.500001 001101111110110010110000010010110001110010001101110111010011000010100011011101010110011011011010111110011100011000001000101011100011010100101101111110100101011010111...
output:
Case #1: 6 Case #2: 0 Case #3: 0 Case #4: 2 Case #5: 0 Case #6: 0 Case #7: 0 Case #8: 0 Case #9: 0 Case #10: 0 Case #11: 0 Case #12: 0 Case #13: 0 Case #14: 0 Case #15: 0 Case #16: 4333 Case #17: 0 Case #18: 0 Case #19: 123 Case #20: 0 Case #21: 0 Case #22: 0 Case #23: 0 Case #24: 0 Case #25: 0 Case...
result:
ok 100 lines
Extra Test:
score: 0
Extra Test Passed