結果
| 問題 | No.2215 Slide Subset Sum |
| ユーザー |
 ygussany
|
| 提出日時 | 2023-02-05 13:58:17 |
| 言語 | C (gcc 12.3.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 5,000 bytes |
| コンパイル時間 | 338 ms |
| コンパイル使用メモリ | 34,520 KB |
| 実行使用メモリ | 87,836 KB |
| 最終ジャッジ日時 | 2024-07-04 06:48:31 |
| 合計ジャッジ時間 | 5,669 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge2 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 171 ms
82,176 KB |
| testcase_01 | TLE | - |
| testcase_02 | -- | - |
| testcase_03 | -- | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
| testcase_42 | -- | - |
| testcase_43 | -- | - |
| testcase_44 | -- | - |
| testcase_45 | -- | - |
| testcase_46 | -- | - |
ソースコード
#include <stdio.h>
const int Mod = 998244353,
bit[21] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576},
bit_inv[21] = {1, 499122177, 748683265, 873463809, 935854081, 967049217, 982646785, 990445569, 994344961, 996294657, 997269505, 997756929, 998000641, 998122497, 998183425, 998213889, 998229121, 998236737, 998240545, 998242449, 998243401},
root[21] = {1, 998244352, 911660635, 372528824, 929031873, 452798380, 922799308, 781712469, 476477967, 166035806, 258648936, 584193783, 63912897, 350007156, 666702199, 968855178, 629671588, 24514907, 996173970, 363395222, 565042129},
root_inv[21] = {1, 998244352, 86583718, 509520358, 337190230, 87557064, 609441965, 135236158, 304459705, 685443576, 381598368, 335559352, 129292727, 358024708, 814576206, 708402881, 283043518, 3707709, 121392023, 704923114, 950391366};
void NTT_inline(int kk, int a[], int x[])
{
int h, hh, i, ii, j, jj, k, l, r = bit[kk], d = bit[kk-1], tmpp, cur, prev;
int *pi, *pii, *pj, *pjj;
static int y[2][256];
long long tmp;
for (i = 0; i < r; i++) y[0][i] = a[i];
for (k = 1, kk--, cur = 1, prev = 0; kk >= 0; k++, kk--, cur ^= 1, prev ^= 1) {
for (h = 0, tmp = 1; h << (kk + 1) < r; h++, tmp = tmp * root[k] % Mod) {
for (hh = 0, pi = &(y[cur][h<<kk]), pii = pi + d, pj = &(y[prev][h<<(kk+1)]), pjj = pj + bit[kk]; hh < bit[kk]; hh++, pi++, pii++, pj++, pjj++) {
tmpp = tmp * (*pjj) % Mod;
*pi = *pj + tmpp;
if (*pi >= Mod) *pi -= Mod;
*pii = *pj - tmpp;
if (*pii < 0) *pii += Mod;
}
}
}
for (i = 0; i < r; i++) x[i] = y[prev][i];
}
void NTT_reverse_inline(int kk, int a[], int x[])
{
int h, hh, i, ii, j, jj, k, l, r = bit[kk], d = bit[kk-1], tmpp, cur, prev;
int *pi, *pii, *pj, *pjj;
static int y[2][256];
long long tmp;
for (i = 0; i < r; i++) y[0][i] = a[i];
for (k = 1, kk--, cur = 1, prev = 0; kk >= 0; k++, kk--, cur ^= 1, prev ^= 1) {
for (h = 0, tmp = 1; h << (kk + 1) < r; h++, tmp = tmp * root_inv[k] % Mod) {
for (hh = 0, pi = &(y[cur][h<<kk]), pii = pi + d, pj = &(y[prev][h<<(kk+1)]), pjj = pj + bit[kk]; hh < bit[kk]; hh++, pi++, pii++, pj++, pjj++) {
tmpp = tmp * (*pjj) % Mod;
*pi = *pj + tmpp;
if (*pi >= Mod) *pi -= Mod;
*pii = *pj - tmpp;
if (*pii < 0) *pii += Mod;
}
}
}
for (i = 0; i < r; i++) x[i] = y[prev][i];
}
// Compute the product of two polynomials a[0-da] and b[0-db] using NTT in O(d * log d) time
void prod_poly_NTT(int da, int db, int a[], int b[], int c[])
{
int i, k;
static int aa[256], bb[256], cc[256];
for (k = 0; bit[k] <= da + db; k++);
for (i = 0; i <= da; i++) aa[i] = a[i];
for (i = da + 1; i < bit[k]; i++) aa[i] = 0;
for (i = 0; i <= db; i++) bb[i] = b[i];
for (i = db + 1; i < bit[k]; i++) bb[i] = 0;
static int x[256], y[256], z[256];
NTT_inline(k, aa, x);
if (db == da) {
for (i = 0; i <= da; i++) if (a[i] != b[i]) break;
if (i <= da) NTT_inline(k, bb, y);
else for (i = 0; i < bit[k]; i++) y[i] = x[i];
} else NTT_inline(k, bb, y);
for (i = 0; i < bit[k]; i++) z[i] = (long long)x[i] * y[i] % Mod;
NTT_reverse_inline(k, z, cc);
for (i = 0; i <= da + db; i++) c[i] = (long long)cc[i] * bit_inv[k] % Mod;
}
// Compute the product of two polynomials a[0-da] and b[0-db] naively in O(da * db) time
void prod_poly_naive(int da, int db, int a[], int b[], int c[])
{
int i, j;
static long long tmp[256];
for (i = 0; i <= da + db; i++) tmp[i] = 0;
for (i = 0; i <= da; i++) for (j = 0; j <= db; j++) tmp[i+j] += (long long)a[i] * b[j] % Mod;
for (i = 0; i <= da + db; i++) c[i] = tmp[i] % Mod;
}
// Compute the product of two polynomials a[0-da] and b[0-db] in an appropriate way
void prod_polynomial(int da, int db, int a[], int b[], int c[])
{
if (da <= 70 || db <= 70) prod_poly_naive(da, db, a, b, c);
else prod_poly_NTT(da, db, a, b, c);
}
int main()
{
int i, N, M, K, A[200001];
scanf("%d %d %d", &N, &M, &K);
for (i = 1; i <= N; i++) scanf("%d", &(A[i]));
int j, k, l, ans[200001], tmp[256], res[256];
static int prod[200001][101];
for (l = 1; l + M - 1 <= N; l += M + 1) {
for (k = 1, prod[l+M][0] = 1; k < K; k++) prod[l+M][k] = 0;
for (i = l + M - 1; i >= l; i--) {
for (k = 1, tmp[0] = 1; k < K; k++) tmp[k] = 0;
tmp[A[i]]++;
prod_polynomial(K - 1, K - 1, prod[i+1], tmp, res);
for (k = 0; k < K; k++) {
prod[i][k] = res[k] + res[k+K];
if (prod[i][k] >= Mod) prod[i][k] -= Mod;
}
}
ans[l] = prod[l][0] - 1;
for (k = 1, res[0] = 1; k < K; k++) res[k] = 0;
for (i = l + 1; i <= l + M && i + M - 1 <= N; i++) {
for (k = 1, tmp[0] = 1; k < K; k++) tmp[k] = 0;
tmp[A[i+M-1]]++;
prod_polynomial(K - 1, K - 1, res, tmp, res);
for (k = 0; k < K; k++) {
res[k] += res[k+K];
if (res[k] >= Mod) res[k] -= Mod;
}
prod_polynomial(K - 1, K - 1, prod[i], res, tmp);
ans[i] = tmp[0] + tmp[K] - 1;
if (ans[i] >= Mod) ans[i] -= Mod;
}
}
for (i = 1; i <= N - M + 1; i++) printf("%d\n", ans[i]);
fflush(stdout);
return 0;
}