Submission #1778175
Source Code Expand
#include<bits/stdc++.h>
using namespace std;
namespace FastFourierTransform
{
using C = complex< double >;
void DiscreteFourierTransform(vector< C > &F, bool rev)
{
const int N = (int) F.size();
const double PI = (rev ? -1 : 1) * acos(-1);
for(int i = 0, j = 1; j + 1 < N; j++) {
for(int k = N >> 1; k > (i ^= k); k >>= 1);
if(i > j) swap(F[i], F[j]);
}
C wr, w, s, t;
for(int i = 1; i < N; i <<= 1) {
wr = polar(1.0, PI / i);
for(int j = 0; j < N; j += i * 2) {
w = 1.0;
for(int k = 0; k < i; k++) {
s = F[j + k], t = F[j + k + i] * w;
F[j + k] = s + t, F[j + k + i] = s - t;
w *= wr;
}
}
}
if(rev) {
double temp = 1.0 / N;
for(int i = 0; i < N; i++) F[i] *= temp;
}
}
vector< int > Multiply(const vector< int > &A, const vector< int > &B)
{
int sz = 1;
while(sz < A.size() + B.size() - 1) sz <<= 1;
vector< C > F(sz), G(sz);
for(int i = 0; i < A.size(); i++) F[i] = A[i];
for(int i = 0; i < B.size(); i++) G[i] = B[i];
DiscreteFourierTransform(F, false);
DiscreteFourierTransform(G, false);
for(int i = 0; i < sz; i++) F[i] *= G[i];
DiscreteFourierTransform(F, true);
vector< int > X(A.size() + B.size() - 1);
for(int i = 0; i < A.size() + B.size() - 1; i++) X[i] = round(F[i].real());
return (X);
}
};
int main()
{
int N;
scanf("%d", &N);
vector< int > A(N + 1), B(N + 1);
for(int i = 0; i < N; i++) scanf("%d %d", &A[i + 1], &B[i + 1]);
auto C = FastFourierTransform::Multiply(A, B);
for(int i = 1; i <= 2 * N; i++) printf("%d\n", C[i]);
}
Submission Info
Submission Time |
|
Task |
C - 高速フーリエ変換 |
User |
ei13333 |
Language |
C++14 (GCC 5.4.1) |
Score |
100 |
Code Size |
1717 Byte |
Status |
AC |
Exec Time |
116 ms |
Memory |
9984 KB |
Compile Error
./Main.cpp: In function ‘int main()’:
./Main.cpp:57:18: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &N);
^
./Main.cpp:59:66: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
for(int i = 0; i < N; i++) scanf("%d %d", &A[i + 1], &B[i + 1]);
^
Judge Result
Set Name |
Sample |
All |
Score / Max Score |
0 / 0 |
100 / 100 |
Status |
|
|
Set Name |
Test Cases |
Sample |
00_sample_01 |
All |
00_sample_01, 01_00_01, 01_01_19, 01_02_31, 01_03_22, 01_04_31, 01_05_40, 01_06_15, 01_07_39, 01_08_28, 01_09_30, 01_10_23, 01_11_33, 01_12_11, 01_13_28, 01_14_41, 01_15_26, 01_16_49, 01_17_34, 01_18_02, 01_19_33, 01_20_29, 02_00_51254, 02_01_82431, 02_02_17056, 02_03_34866, 02_04_6779, 02_05_65534, 02_06_65535, 02_07_65536, 02_08_65537, 02_09_65538, 02_10_100000 |
Case Name |
Status |
Exec Time |
Memory |
00_sample_01 |
AC |
1 ms |
256 KB |
01_00_01 |
AC |
1 ms |
256 KB |
01_01_19 |
AC |
1 ms |
256 KB |
01_02_31 |
AC |
1 ms |
256 KB |
01_03_22 |
AC |
1 ms |
256 KB |
01_04_31 |
AC |
1 ms |
256 KB |
01_05_40 |
AC |
1 ms |
256 KB |
01_06_15 |
AC |
1 ms |
256 KB |
01_07_39 |
AC |
1 ms |
256 KB |
01_08_28 |
AC |
1 ms |
256 KB |
01_09_30 |
AC |
1 ms |
256 KB |
01_10_23 |
AC |
1 ms |
256 KB |
01_11_33 |
AC |
1 ms |
256 KB |
01_12_11 |
AC |
1 ms |
256 KB |
01_13_28 |
AC |
1 ms |
256 KB |
01_14_41 |
AC |
1 ms |
256 KB |
01_15_26 |
AC |
1 ms |
256 KB |
01_16_49 |
AC |
1 ms |
256 KB |
01_17_34 |
AC |
1 ms |
256 KB |
01_18_02 |
AC |
1 ms |
256 KB |
01_19_33 |
AC |
1 ms |
256 KB |
01_20_29 |
AC |
1 ms |
256 KB |
02_00_51254 |
AC |
102 ms |
5120 KB |
02_01_82431 |
AC |
110 ms |
9728 KB |
02_02_17056 |
AC |
25 ms |
2560 KB |
02_03_34866 |
AC |
52 ms |
4864 KB |
02_04_6779 |
AC |
7 ms |
896 KB |
02_05_65534 |
AC |
62 ms |
5376 KB |
02_06_65535 |
AC |
62 ms |
5376 KB |
02_07_65536 |
AC |
105 ms |
9472 KB |
02_08_65537 |
AC |
104 ms |
9472 KB |
02_09_65538 |
AC |
105 ms |
9472 KB |
02_10_100000 |
AC |
116 ms |
9984 KB |