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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#545881#3082. Ascending MatrixlyxAC ✓137ms4560kbC++142.8kb2024-09-03 17:54:222024-09-03 17:54:24

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你现在查看的是最新测评结果

  • [2024-09-03 17:54:24]
  • 评测
  • 测评结果:AC
  • 用时:137ms
  • 内存:4560kb
  • [2024-09-03 17:54:22]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int MAXN = 305, P = 998244353;
int n, m, k, r, c, v;
int fac[MAXN << 1], inv[MAXN << 1];
int qpow(int a, int b) {
    int ans = 1;
    while (b) {
        if (b & 1) ans = 1ll * ans * a % P;
        a = 1ll * a * a % P;
        b >>= 1;
    }
    return ans;
}
void init(int n) {
    fac[0] = 1;
    for (int i = 1; i <= n; i++)
        fac[i] = 1ll * fac[i - 1] * i % P;
    inv[n] = qpow(fac[n], P - 2);
    for (int i = n; i >= 1; i--)
        inv[i - 1] = 1ll * inv[i] * i % P;
    assert(inv[0] == 1);
}
int C(int n, int m) {
    if (n < 0 || m < 0 || n < m) return 0;
    return 1ll * fac[n] * inv[m] % P * inv[n - m] % P;
}
int calc(int x1, int y1, int x2, int y2) {
    return C(x1 - x2 + y2 - y1, x1 - x2);
}
int f[MAXN][MAXN], fx[MAXN][MAXN];
int a[MAXN][MAXN];
int y[MAXN];
int det() {
    int ans = 1;
    for (int i = 0; i < k; i++) {
        int p = -1;
        for (int j = i; j < k; j++) if (a[j][i]) {
            p = j;
            break;
        }
        if (p == -1) return 0;
        if (p != i) ans *= -1, swap(a[i], a[p]);
        for (int j = i + 1; j < k; j++) {
            int inv = 1ll * a[j][i] * qpow(a[i][i], P - 2) % P;
            for (int l = i; l < k; l++) {
                a[j][l] = (a[j][l] - 1ll * inv * a[i][l] % P + P) % P;
            }
        }
    }
    for (int i = 0; i < k; i++)
        ans = 1ll * ans * a[i][i] % P;
    return (ans + P) % P;
}
int p[MAXN], q[MAXN];
int main() {
    init(600);
    scanf("%d%d%d%d%d%d", &n, &m, &k, &r, &c, &v);
    r += v - 2, c += v - 2, k--;
    for (int i = 0; i < k; i++) {
        for (int j = 0; j < k; j++) {
            f[i][j] = calc(n + i, i, j, m + j);
            for (int d = 0; r - d >= 0 && c - d >= 0; d++) {
                int x = 1ll * calc(n + i, i, r - d, c - d) * calc(r - d, c - d, j, m + j) % P;
                f[i][j] = (f[i][j] - x + P) % P;
                if (d) fx[i][j] = (fx[i][j] + x) % P;
            }
        }
    }
    for (int i = 0; i <= k; i++) {
        memset(a, 0, sizeof a);
        for (int x = 0; x < k; x++) {
            for (int y = 0; y < k; y++) {
                a[x][y] = (f[x][y] + 1ll * fx[x][y] * i) % P;
            }
        }
        y[i] = det();
    }
    int ans = 0;
    for (int i = 0; i <= k; i++) {
        memset(p, 0, sizeof p);
        p[0] = y[i];
        for (int j = 0; j <= k; j++) if (j != i) {
            int inv = qpow(j - i, P - 2);
            memset(q, 0, sizeof q);
            for (int l = 0; l <= k; l++) {
                q[l] = (q[l] + 1ll * j * inv % P * p[l] % P + P) % P;
                if (l) q[l] = (q[l] - 1ll * inv * p[l - 1] % P + P) % P;
            }
            memcpy(p, q, sizeof q);
        }
        ans = (ans + p[v - 1]) % P;
    }
    printf("%d\n", ans);
    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 14ms
memory: 4300kb

input:

148 129 48 144 105 13

output:

467058311

result:

ok single line: '467058311'

Test #2:

score: 0
Accepted
time: 1ms
memory: 4252kb

input:

57 48 11 56 9 1

output:

951177245

result:

ok single line: '951177245'

Test #3:

score: 0
Accepted
time: 45ms
memory: 4436kb

input:

121 146 72 117 72 25

output:

284798523

result:

ok single line: '284798523'

Test #4:

score: 0
Accepted
time: 1ms
memory: 4360kb

input:

66 142 11 51 124 4

output:

542285716

result:

ok single line: '542285716'

Test #5:

score: 0
Accepted
time: 131ms
memory: 4508kb

input:

45 127 98 3 31 80

output:

116902187

result:

ok single line: '116902187'

Test #6:

score: 0
Accepted
time: 11ms
memory: 4436kb

input:

125 199 45 51 91 21

output:

715355617

result:

ok single line: '715355617'

Test #7:

score: 0
Accepted
time: 0ms
memory: 4152kb

input:

41 153 6 6 147 2

output:

190519561

result:

ok single line: '190519561'

Test #8:

score: 0
Accepted
time: 41ms
memory: 4308kb

input:

112 108 69 99 29 47

output:

481688971

result:

ok single line: '481688971'

Test #9:

score: 0
Accepted
time: 117ms
memory: 4504kb

input:

138 99 94 73 43 73

output:

667469005

result:

ok single line: '667469005'

Test #10:

score: 0
Accepted
time: 0ms
memory: 4328kb

input:

143 147 18 24 141 9

output:

763965115

result:

ok single line: '763965115'

Test #11:

score: 0
Accepted
time: 125ms
memory: 4532kb

input:

99 63 97 78 51 66

output:

130195301

result:

ok single line: '130195301'

Test #12:

score: 0
Accepted
time: 0ms
memory: 4228kb

input:

103 23 10 25 7 4

output:

674555733

result:

ok single line: '674555733'

Test #13:

score: 0
Accepted
time: 6ms
memory: 4384kb

input:

137 194 42 125 104 17

output:

416667361

result:

ok single line: '416667361'

Test #14:

score: 0
Accepted
time: 6ms
memory: 4364kb

input:

191 13 37 42 2 21

output:

530754407

result:

ok single line: '530754407'

Test #15:

score: 0
Accepted
time: 17ms
memory: 4408kb

input:

195 33 53 101 29 32

output:

851306824

result:

ok single line: '851306824'

Test #16:

score: 0
Accepted
time: 1ms
memory: 4244kb

input:

84 173 8 70 70 6

output:

25135799

result:

ok single line: '25135799'

Test #17:

score: 0
Accepted
time: 13ms
memory: 4316kb

input:

39 53 49 37 6 9

output:

640044940

result:

ok single line: '640044940'

Test #18:

score: 0
Accepted
time: 41ms
memory: 4452kb

input:

135 129 68 134 86 16

output:

910022919

result:

ok single line: '910022919'

Test #19:

score: 0
Accepted
time: 21ms
memory: 4416kb

input:

62 74 56 28 12 46

output:

774987233

result:

ok single line: '774987233'

Test #20:

score: 0
Accepted
time: 70ms
memory: 4480kb

input:

87 135 81 27 44 58

output:

629485683

result:

ok single line: '629485683'

Test #21:

score: 0
Accepted
time: 11ms
memory: 4432kb

input:

148 199 44 79 81 40

output:

369408819

result:

ok single line: '369408819'

Test #22:

score: 0
Accepted
time: 1ms
memory: 4236kb

input:

18 195 5 17 151 5

output:

198068951

result:

ok single line: '198068951'

Test #23:

score: 0
Accepted
time: 57ms
memory: 4468kb

input:

200 137 75 67 65 74

output:

864017958

result:

ok single line: '864017958'

Test #24:

score: 0
Accepted
time: 23ms
memory: 4392kb

input:

171 162 56 113 97 30

output:

255341800

result:

ok single line: '255341800'

Test #25:

score: 0
Accepted
time: 6ms
memory: 4424kb

input:

8 134 38 1 93 10

output:

282048962

result:

ok single line: '282048962'

Test #26:

score: 0
Accepted
time: 106ms
memory: 4496kb

input:

13 55 93 3 25 40

output:

852404927

result:

ok single line: '852404927'

Test #27:

score: 0
Accepted
time: 10ms
memory: 4380kb

input:

169 157 42 77 108 39

output:

595819517

result:

ok single line: '595819517'

Test #28:

score: 0
Accepted
time: 88ms
memory: 4476kb

input:

41 199 87 18 82 58

output:

698977796

result:

ok single line: '698977796'

Test #29:

score: 0
Accepted
time: 22ms
memory: 4324kb

input:

190 68 57 188 59 15

output:

46174623

result:

ok single line: '46174623'

Test #30:

score: 0
Accepted
time: 40ms
memory: 4372kb

input:

90 52 71 39 41 23

output:

417181087

result:

ok single line: '417181087'

Test #31:

score: 0
Accepted
time: 93ms
memory: 4492kb

input:

108 76 89 55 40 13

output:

210578964

result:

ok single line: '210578964'

Test #32:

score: 0
Accepted
time: 3ms
memory: 4360kb

input:

166 191 27 102 30 11

output:

365224233

result:

ok single line: '365224233'

Test #33:

score: 0
Accepted
time: 1ms
memory: 4336kb

input:

41 166 4 10 49 2

output:

245797147

result:

ok single line: '245797147'

Test #34:

score: 0
Accepted
time: 61ms
memory: 4408kb

input:

135 128 79 44 16 6

output:

203896980

result:

ok single line: '203896980'

Test #35:

score: 0
Accepted
time: 62ms
memory: 4480kb

input:

101 193 79 43 65 75

output:

27637457

result:

ok single line: '27637457'

Test #36:

score: 0
Accepted
time: 18ms
memory: 4316kb

input:

88 81 53 35 54 47

output:

950708598

result:

ok single line: '950708598'

Test #37:

score: 0
Accepted
time: 3ms
memory: 4356kb

input:

87 40 28 37 8 8

output:

817953396

result:

ok single line: '817953396'

Test #38:

score: 0
Accepted
time: 111ms
memory: 4448kb

input:

193 136 94 12 94 23

output:

145619900

result:

ok single line: '145619900'

Test #39:

score: 0
Accepted
time: 35ms
memory: 4428kb

input:

90 183 67 8 171 26

output:

899333159

result:

ok single line: '899333159'

Test #40:

score: 0
Accepted
time: 4ms
memory: 4408kb

input:

107 178 32 24 103 12

output:

82019799

result:

ok single line: '82019799'

Test #41:

score: 0
Accepted
time: 27ms
memory: 4356kb

input:

160 23 61 60 17 3

output:

350971684

result:

ok single line: '350971684'

Test #42:

score: 0
Accepted
time: 1ms
memory: 4296kb

input:

100 176 10 54 58 4

output:

978823166

result:

ok single line: '978823166'

Test #43:

score: 0
Accepted
time: 9ms
memory: 4432kb

input:

181 183 42 7 91 41

output:

690262327

result:

ok single line: '690262327'

Test #44:

score: 0
Accepted
time: 13ms
memory: 4392kb

input:

105 131 47 53 68 33

output:

806603020

result:

ok single line: '806603020'

Test #45:

score: 0
Accepted
time: 137ms
memory: 4528kb

input:

51 10 100 1 5 73

output:

341852925

result:

ok single line: '341852925'

Test #46:

score: 0
Accepted
time: 49ms
memory: 4376kb

input:

87 198 73 75 109 72

output:

741170008

result:

ok single line: '741170008'

Test #47:

score: 0
Accepted
time: 0ms
memory: 4300kb

input:

25 158 13 22 1 1

output:

237363061

result:

ok single line: '237363061'

Test #48:

score: 0
Accepted
time: 43ms
memory: 4492kb

input:

64 112 71 28 109 10

output:

350168232

result:

ok single line: '350168232'

Test #49:

score: 0
Accepted
time: 16ms
memory: 4404kb

input:

143 191 52 10 98 10

output:

71885894

result:

ok single line: '71885894'

Test #50:

score: 0
Accepted
time: 5ms
memory: 4308kb

input:

30 130 36 22 85 6

output:

909971212

result:

ok single line: '909971212'

Test #51:

score: 0
Accepted
time: 6ms
memory: 4316kb

input:

154 136 38 34 109 15

output:

655764791

result:

ok single line: '655764791'

Test #52:

score: 0
Accepted
time: 1ms
memory: 4316kb

input:

13 112 7 9 55 1

output:

623849663

result:

ok single line: '623849663'

Test #53:

score: 0
Accepted
time: 13ms
memory: 4280kb

input:

137 103 47 56 77 35

output:

43033659

result:

ok single line: '43033659'

Test #54:

score: 0
Accepted
time: 3ms
memory: 4376kb

input:

40 17 37 11 7 15

output:

803046927

result:

ok single line: '803046927'

Test #55:

score: 0
Accepted
time: 22ms
memory: 4284kb

input:

166 14 58 49 1 26

output:

664593299

result:

ok single line: '664593299'

Test #56:

score: 0
Accepted
time: 1ms
memory: 4308kb

input:

88 195 15 10 120 5

output:

925522664

result:

ok single line: '925522664'

Test #57:

score: 0
Accepted
time: 130ms
memory: 4376kb

input:

164 166 96 161 138 32

output:

111053370

result:

ok single line: '111053370'

Test #58:

score: 0
Accepted
time: 114ms
memory: 4416kb

input:

145 135 94 68 83 9

output:

394110532

result:

ok single line: '394110532'

Test #59:

score: 0
Accepted
time: 30ms
memory: 4476kb

input:

154 173 63 5 77 51

output:

540440686

result:

ok single line: '540440686'

Test #60:

score: 0
Accepted
time: 0ms
memory: 4352kb

input:

20 91 30 20 83 17

output:

961395776

result:

ok single line: '961395776'

Test #61:

score: 0
Accepted
time: 1ms
memory: 4176kb

input:

144 39 13 77 9 5

output:

99731481

result:

ok single line: '99731481'

Test #62:

score: 0
Accepted
time: 76ms
memory: 4472kb

input:

87 152 83 4 59 81

output:

139490896

result:

ok single line: '139490896'

Test #63:

score: 0
Accepted
time: 98ms
memory: 4356kb

input:

171 135 89 114 124 10

output:

736020363

result:

ok single line: '736020363'

Test #64:

score: 0
Accepted
time: 131ms
memory: 4384kb

input:

82 41 99 66 6 5

output:

882042301

result:

ok single line: '882042301'

Test #65:

score: 0
Accepted
time: 3ms
memory: 4348kb

input:

33 114 28 11 73 11

output:

653378940

result:

ok single line: '653378940'

Test #66:

score: 0
Accepted
time: 1ms
memory: 4168kb

input:

180 73 10 43 63 9

output:

170492767

result:

ok single line: '170492767'

Test #67:

score: 0
Accepted
time: 29ms
memory: 4488kb

input:

33 185 63 19 107 7

output:

907253908

result:

ok single line: '907253908'

Test #68:

score: 0
Accepted
time: 0ms
memory: 4340kb

input:

69 90 22 34 31 3

output:

137223161

result:

ok single line: '137223161'

Test #69:

score: 0
Accepted
time: 26ms
memory: 4468kb

input:

42 45 60 29 38 36

output:

99908563

result:

ok single line: '99908563'

Test #70:

score: 0
Accepted
time: 5ms
memory: 4212kb

input:

69 158 34 56 39 17

output:

681472254

result:

ok single line: '681472254'

Test #71:

score: 0
Accepted
time: 76ms
memory: 4500kb

input:

66 69 84 5 8 41

output:

277373736

result:

ok single line: '277373736'

Test #72:

score: 0
Accepted
time: 38ms
memory: 4436kb

input:

168 31 68 66 4 21

output:

528816013

result:

ok single line: '528816013'

Test #73:

score: 0
Accepted
time: 108ms
memory: 4560kb

input:

65 33 94 2 30 76

output:

331224077

result:

ok single line: '331224077'

Test #74:

score: 0
Accepted
time: 1ms
memory: 4352kb

input:

84 111 12 28 106 12

output:

95279945

result:

ok single line: '95279945'

Test #75:

score: 0
Accepted
time: 77ms
memory: 4416kb

input:

102 77 83 95 62 51

output:

773914979

result:

ok single line: '773914979'

Test #76:

score: 0
Accepted
time: 55ms
memory: 4324kb

input:

113 144 76 24 68 13

output:

845242590

result:

ok single line: '845242590'

Test #77:

score: 0
Accepted
time: 1ms
memory: 4304kb

input:

45 24 9 10 2 5

output:

71790514

result:

ok single line: '71790514'

Test #78:

score: 0
Accepted
time: 24ms
memory: 4372kb

input:

158 98 61 86 50 29

output:

123475901

result:

ok single line: '123475901'

Test #79:

score: 0
Accepted
time: 3ms
memory: 4360kb

input:

118 52 27 11 23 21

output:

489202572

result:

ok single line: '489202572'

Test #80:

score: 0
Accepted
time: 2ms
memory: 4272kb

input:

122 148 35 112 17 17

output:

856169627

result:

ok single line: '856169627'

Test #81:

score: 0
Accepted
time: 0ms
memory: 4184kb

input:

135 114 15 20 43 9

output:

873320383

result:

ok single line: '873320383'

Test #82:

score: 0
Accepted
time: 76ms
memory: 4484kb

input:

89 70 84 70 12 18

output:

302990320

result:

ok single line: '302990320'

Test #83:

score: 0
Accepted
time: 33ms
memory: 4500kb

input:

15 68 67 5 51 66

output:

980298686

result:

ok single line: '980298686'

Test #84:

score: 0
Accepted
time: 47ms
memory: 4404kb

input:

50 2 73 40 2 8

output:

550497760

result:

ok single line: '550497760'

Test #85:

score: 0
Accepted
time: 74ms
memory: 4396kb

input:

117 88 83 93 1 50

output:

645491986

result:

ok single line: '645491986'

Test #86:

score: 0
Accepted
time: 14ms
memory: 4420kb

input:

45 173 54 34 93 3

output:

330947509

result:

ok single line: '330947509'

Test #87:

score: 0
Accepted
time: 2ms
memory: 4248kb

input:

39 10 22 34 6 20

output:

184357429

result:

ok single line: '184357429'

Test #88:

score: 0
Accepted
time: 43ms
memory: 4464kb

input:

58 27 71 55 19 22

output:

201813851

result:

ok single line: '201813851'

Test #89:

score: 0
Accepted
time: 7ms
memory: 4372kb

input:

123 57 40 14 38 23

output:

891805630

result:

ok single line: '891805630'

Test #90:

score: 0
Accepted
time: 41ms
memory: 4456kb

input:

84 64 70 12 2 23

output:

351372969

result:

ok single line: '351372969'

Test #91:

score: 0
Accepted
time: 45ms
memory: 4396kb

input:

46 160 72 21 146 9

output:

625614461

result:

ok single line: '625614461'

Test #92:

score: 0
Accepted
time: 21ms
memory: 4428kb

input:

45 99 57 25 40 4

output:

498175745

result:

ok single line: '498175745'

Test #93:

score: 0
Accepted
time: 1ms
memory: 4316kb

input:

15 21 12 14 6 3

output:

727195216

result:

ok single line: '727195216'

Test #94:

score: 0
Accepted
time: 4ms
memory: 4344kb

input:

154 77 32 73 62 15

output:

513610382

result:

ok single line: '513610382'

Test #95:

score: 0
Accepted
time: 1ms
memory: 4328kb

input:

165 97 16 158 69 11

output:

308621770

result:

ok single line: '308621770'

Test #96:

score: 0
Accepted
time: 125ms
memory: 4508kb

input:

146 128 97 132 24 10

output:

751957330

result:

ok single line: '751957330'

Test #97:

score: 0
Accepted
time: 5ms
memory: 4416kb

input:

49 39 35 2 10 14

output:

338882448

result:

ok single line: '338882448'

Test #98:

score: 0
Accepted
time: 47ms
memory: 4456kb

input:

73 1 73 35 1 44

output:

126891463

result:

ok single line: '126891463'

Test #99:

score: 0
Accepted
time: 23ms
memory: 4352kb

input:

69 82 59 1 73 1

output:

436743471

result:

ok single line: '436743471'

Test #100:

score: 0
Accepted
time: 7ms
memory: 4392kb

input:

88 86 40 19 77 4

output:

758000538

result:

ok single line: '758000538'