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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#569231 | #4888. Decoding The Message | Made_in_Code | WA | 3ms | 3828kb | C++14 | 2.4kb | 2024-09-16 21:24:28 | 2024-09-16 21:24:28 |
Judging History
answer
#include <bitset>
#include <iostream>
#define LL long long
using namespace std;
int t, a[256];
LL n;
LL Pow(LL x, int y, int mod) {
LL ans = 1;
for (int i = 1; i <= y; i <<= 1) {
if (i & y) {
ans = ans * x % mod;
}
x = x * x % mod;
}
return ans;
}
LL Calc1() {
LL ans = 0;
for (int i = 0; i < 256; i++) {
ans = (ans + 1LL * i * a[i]) % 255;
}
if (n >= 8) {
ans = Pow(ans, 128, 255);
} else {
for (int i = 1; i <= n; i++) {
ans = Pow(ans, i, 255);
}
}
return ans;
}
LL Calc20() {
int d[11] = {};
for (int i = 0, t = 0; i < 256; i++) {
for (int j = 1; j <= a[i]; j++) {
d[t++] = i;
}
}
LL t = 1;
for (int s = 0; s < 1 << n; s++) {
if (__builtin_popcount(s) == n >> 1) {
LL w = 0;
for (int i = 0; i < n; i++) {
if (s >> i & 1) {
w = (w - d[i] + 257) % 257;
} else {
w = (w + d[i]) % 257;
}
}
t = t * w % 257;
}
}
for (int i = 1; i <= n >> 1; i++) {
t = Pow(t, i * i, 257);
}
return n & 1 ? Pow(t, n + 1 >> 1, 257) : t;
}
LL Calc21() {
int mx = 0, m = n >> 1;
LL s = 0;
bitset<257> f[256], g[256];
for (int i = 1; i < 256; i++) {
s = (s + 1LL * a[i] * i) % 257;
if (a[i] > a[mx]) {
mx = i;
}
}
s = s * 129 % 257, f[0][0] = g[0][0] = 1;
for (int i = 0; i < 256; i++) {
if (i != mx) {
for (int j = 1; j <= m; j++) {
for (int k = 0; k <= a[i]; k++) {
int w = i * k % 257;
g[j + k] |= f[j] << w | f[j] >> 257 - w;
}
}
for (int j = 0; j <= m; j++) {
f[j] = g[j];
}
}
}
for (int i = 0; i <= a[mx]; i++) {
if (f[m - i][(s - i * mx % 257 + 257) % 257]) {
return 0;
}
}
return 1;
}
LL Calc2() {
int mx = 0;
for (int i = 0; i < 256; i++) {
mx = max(mx, a[i]);
}
if (n >= 512 && n - mx >= 256) {
return 0;
} else if (n <= 11) {
return Calc20();
} else {
return Calc21();
}
}
int main() {
cin.tie(0), cout.tie(0);
ios::sync_with_stdio(0);
cin >> t;
while (t--) {
n = 0;
for (int i = 0; i < 256; i++) {
a[i] = 0;
}
int m;
cin >> m;
for (int i = 1, x; i <= m; i++) {
cin >> x >> a[x], n += a[x];
}
cout << (Calc1() * 32896 + Calc2() * 32640) % 65535 << '\n'; // CRT
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3552kb
input:
5 1 42 1 2 0 1 1 1 1 239 2 2 1 1 2 1 3 1 1 2 2 3 2
output:
42 256 514 1284 61726
result:
ok 5 number(s): "42 256 514 1284 61726"
Test #2:
score: -100
Wrong Answer
time: 3ms
memory: 3828kb
input:
100 1 213 79 1 54 69 1 218 55 1 248 80 1 101 8 1 153 79 1 240 45 1 112 70 1 217 5 1 208 64 1 48 30 1 0 19 1 53 40 1 63 17 1 179 65 1 221 22 1 135 84 1 138 20 1 54 29 1 114 19 1 253 94 1 240 36 1 40 94 1 244 93 1 239 24 1 133 8 1 105 91 1 45 43 1 241 74 1 206 17 1 100 73 1 133 44 1 57 70 1 56 72 1 47...
output:
21846 54741 59110 59110 32896 6426 48060 59110 43570 32896 15420 0 59110 39321 59110 17476 15420 15420 54741 21846 32896 15420 59110 54741 54741 32896 15420 15420 32896 50116 59110 32896 15420 54741 39321 17476 15420 54741 54741 39321 54741 54741 39321 54741 32896 59110 59110 59110 54741 15420 15420...
result:
wrong answer 2nd numbers differ - expected: '21846', found: '54741'