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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#474056#3082. Ascending MatrixBINYUAC ✓183ms6660kbC++142.9kb2024-07-12 15:50:172024-07-12 15:50:17

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你现在查看的是最新测评结果

  • [2024-07-12 15:50:17]
  • 评测
  • 测评结果:AC
  • 用时:183ms
  • 内存:6660kb
  • [2024-07-12 15:50:17]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define ll long long
const ll mod = 998244353;
const int N = 200,M = 1e5;
int n,m,k,r,c,v;
pair <ll,ll> cnt[N + 5][N + 5];
ll f[M + 5] = {1,1},inv[M + 5] = {1,1},invf[M + 5] = {1,1};
ll lenw,w[N + 5] = {1},F[N + 5],ans[N + 5];
struct Matrix
{
	int n;
	ll a[N + 5][N + 5],ans;
	void write()
	{
		for(int i = 1;i <= n;i++,puts(""))
			for(int j = 1;j <= n;j++)
				cout<<a[i][j]<<" ";puts("");
	}
	void clear()
	{
		for(int i = 1;i <= n;i++)
			for(int j = 1;j <= n;j++)
				a[i][j] = 0;
		n = 0; 
	}
	void Swap(int i,int j)
	{
		for(int k = 1;k <= n;k++)
			swap(a[i][k],a[j][k]);
	}
	void add(int i,int j,ll v)
	{
		(v += mod) %= mod;
		for(int k = 1;k <= n;k++)
			(a[i][k] += a[j][k] * v) %= mod;
	}
	void update(int i,int j)
	{
		while(a[j][i] != 0)
			add(i,j,-a[i][i] / a[j][i]),
			Swap(i,j),(ans *= mod - 1) %= mod;
	}
	ll det()
	{
		ans = 1;
		for(int i = 1;i <= n;(ans *= mod + a[i][i]) %= mod,i++)
			for(int j = n;j > i;j--)update(i,j);
		return ans;
	}
}a;
ll C(ll n,ll m)
{
	if(n < 0||m < 0||n < m)return 0;
	return f[n] * invf[m] % mod * invf[n - m] % mod;
}
void mul(ll x)
{
	for(int i = lenw;~i;i--)
		(w[i + 1] += w[i]) %= mod,
		(w[i] *= x) %= mod;
	lenw++;
}
ll qpow(ll a,ll b)
{
	a %= mod;
	ll res = 1;
	while(b)
	{
		if(b & 1)(res *= a) %= mod;
		(a *= a) %= mod;b >>= 1;
	}
	return res;
}
void div(ll x)
{
	x = qpow(x,mod - 2);F[0] = w[0] * x % mod;
	for(int i = 1;i <= lenw;i++)
		F[i] = (w[i] - F[i - 1] + mod) * x % mod;
}
ll solve(ll x)
{
	a.clear();a.n = k;
	for(int i = 1;i <= k;i++)
		for(int j = 1;j <= k;j++)
			a.a[i][j] = (cnt[i][j].first * x + cnt[i][j].second) % mod;
	return a.det();
}
pair <ll,ll> calc(int sx,int sy,int ex,int ey)
{
	if(sx < ex||ey < sy)return make_pair(0,0);
	ll tot = C(sx - ex + ey - sy,sx - ex);
	if(ex > r||sy > c)return {0,tot};
	if(sx < r||ey < c)return {tot,0};
	ll res = 0;
	(tot += mod - C(sx - r + c - sy,c - sy) * C(r - ex + ey - c,ey - c) % mod) %= mod;
	for(int i = ex;i < r;i++)
		(res += C(sx - i + c - sy - 1,c - sy - 1) * C(i - ex + ey - c,ey - c)) %= mod;
	return {res,(tot + mod - res) % mod};
}
int main()
{
	scanf("%d %d %d %d %d %d",&n,&m,&k,&r,&c,&v);
	if(k == 1)return puts("1"),0;
	k--;
	r += v - 1;c += v - 1;
	for(int i = 2;i <= M;i++)
		f[i] = f[i - 1] * i % mod,
		inv[i] = inv[mod % i] * (mod - mod / i) % mod,
		invf[i] = invf[i - 1] * inv[i] % mod;
	a.n = k;
	for(int i = 1;i <= k;i++)
		for(int j = 1;j <= k;j++)
			cnt[i][j] = calc(n + i,i,j,m + j);
	for(int i = 1;i <= k + 1;i++)mul(mod - i);
	for(int i = 1;i <= k + 1;i++)
	{
		div(mod - i);
		ll now = 1;
		for(int j = 1;j <= k + 1;j++)
			if(i != j)
				(now *= mod + i - j) %= mod;
		now = qpow(now,mod - 2) * solve(i) % mod; 
		for(int j = 0;j < k + 1;j++)
			(ans[j] += now * F[j]) %= mod; 
	}
	cout<<ans[v - 1];
}

Details

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Test #1:

score: 100
Accepted
time: 15ms
memory: 6412kb

input:

148 129 48 144 105 13

output:

467058311

result:

ok single line: '467058311'

Test #2:

score: 0
Accepted
time: 2ms
memory: 6168kb

input:

57 48 11 56 9 1

output:

951177245

result:

ok single line: '951177245'

Test #3:

score: 0
Accepted
time: 56ms
memory: 6448kb

input:

121 146 72 117 72 25

output:

284798523

result:

ok single line: '284798523'

Test #4:

score: 0
Accepted
time: 0ms
memory: 6228kb

input:

66 142 11 51 124 4

output:

542285716

result:

ok single line: '542285716'

Test #5:

score: 0
Accepted
time: 183ms
memory: 6648kb

input:

45 127 98 3 31 80

output:

116902187

result:

ok single line: '116902187'

Test #6:

score: 0
Accepted
time: 12ms
memory: 6392kb

input:

125 199 45 51 91 21

output:

715355617

result:

ok single line: '715355617'

Test #7:

score: 0
Accepted
time: 2ms
memory: 6200kb

input:

41 153 6 6 147 2

output:

190519561

result:

ok single line: '190519561'

Test #8:

score: 0
Accepted
time: 51ms
memory: 6504kb

input:

112 108 69 99 29 47

output:

481688971

result:

ok single line: '481688971'

Test #9:

score: 0
Accepted
time: 162ms
memory: 6472kb

input:

138 99 94 73 43 73

output:

667469005

result:

ok single line: '667469005'

Test #10:

score: 0
Accepted
time: 2ms
memory: 6244kb

input:

143 147 18 24 141 9

output:

763965115

result:

ok single line: '763965115'

Test #11:

score: 0
Accepted
time: 150ms
memory: 6648kb

input:

99 63 97 78 51 66

output:

130195301

result:

ok single line: '130195301'

Test #12:

score: 0
Accepted
time: 2ms
memory: 6224kb

input:

103 23 10 25 7 4

output:

674555733

result:

ok single line: '674555733'

Test #13:

score: 0
Accepted
time: 10ms
memory: 6296kb

input:

137 194 42 125 104 17

output:

416667361

result:

ok single line: '416667361'

Test #14:

score: 0
Accepted
time: 4ms
memory: 6224kb

input:

191 13 37 42 2 21

output:

530754407

result:

ok single line: '530754407'

Test #15:

score: 0
Accepted
time: 17ms
memory: 6436kb

input:

195 33 53 101 29 32

output:

851306824

result:

ok single line: '851306824'

Test #16:

score: 0
Accepted
time: 0ms
memory: 6192kb

input:

84 173 8 70 70 6

output:

25135799

result:

ok single line: '25135799'

Test #17:

score: 0
Accepted
time: 11ms
memory: 6412kb

input:

39 53 49 37 6 9

output:

640044940

result:

ok single line: '640044940'

Test #18:

score: 0
Accepted
time: 49ms
memory: 6292kb

input:

135 129 68 134 86 16

output:

910022919

result:

ok single line: '910022919'

Test #19:

score: 0
Accepted
time: 24ms
memory: 6288kb

input:

62 74 56 28 12 46

output:

774987233

result:

ok single line: '774987233'

Test #20:

score: 0
Accepted
time: 92ms
memory: 6432kb

input:

87 135 81 27 44 58

output:

629485683

result:

ok single line: '629485683'

Test #21:

score: 0
Accepted
time: 11ms
memory: 6168kb

input:

148 199 44 79 81 40

output:

369408819

result:

ok single line: '369408819'

Test #22:

score: 0
Accepted
time: 2ms
memory: 6104kb

input:

18 195 5 17 151 5

output:

198068951

result:

ok single line: '198068951'

Test #23:

score: 0
Accepted
time: 70ms
memory: 6396kb

input:

200 137 75 67 65 74

output:

864017958

result:

ok single line: '864017958'

Test #24:

score: 0
Accepted
time: 21ms
memory: 6368kb

input:

171 162 56 113 97 30

output:

255341800

result:

ok single line: '255341800'

Test #25:

score: 0
Accepted
time: 7ms
memory: 6216kb

input:

8 134 38 1 93 10

output:

282048962

result:

ok single line: '282048962'

Test #26:

score: 0
Accepted
time: 123ms
memory: 6496kb

input:

13 55 93 3 25 40

output:

852404927

result:

ok single line: '852404927'

Test #27:

score: 0
Accepted
time: 10ms
memory: 6248kb

input:

169 157 42 77 108 39

output:

595819517

result:

ok single line: '595819517'

Test #28:

score: 0
Accepted
time: 119ms
memory: 6404kb

input:

41 199 87 18 82 58

output:

698977796

result:

ok single line: '698977796'

Test #29:

score: 0
Accepted
time: 23ms
memory: 6452kb

input:

190 68 57 188 59 15

output:

46174623

result:

ok single line: '46174623'

Test #30:

score: 0
Accepted
time: 50ms
memory: 6364kb

input:

90 52 71 39 41 23

output:

417181087

result:

ok single line: '417181087'

Test #31:

score: 0
Accepted
time: 121ms
memory: 6456kb

input:

108 76 89 55 40 13

output:

210578964

result:

ok single line: '210578964'

Test #32:

score: 0
Accepted
time: 4ms
memory: 6168kb

input:

166 191 27 102 30 11

output:

365224233

result:

ok single line: '365224233'

Test #33:

score: 0
Accepted
time: 2ms
memory: 6188kb

input:

41 166 4 10 49 2

output:

245797147

result:

ok single line: '245797147'

Test #34:

score: 0
Accepted
time: 78ms
memory: 6552kb

input:

135 128 79 44 16 6

output:

203896980

result:

ok single line: '203896980'

Test #35:

score: 0
Accepted
time: 84ms
memory: 6424kb

input:

101 193 79 43 65 75

output:

27637457

result:

ok single line: '27637457'

Test #36:

score: 0
Accepted
time: 16ms
memory: 6360kb

input:

88 81 53 35 54 47

output:

950708598

result:

ok single line: '950708598'

Test #37:

score: 0
Accepted
time: 4ms
memory: 6312kb

input:

87 40 28 37 8 8

output:

817953396

result:

ok single line: '817953396'

Test #38:

score: 0
Accepted
time: 158ms
memory: 6552kb

input:

193 136 94 12 94 23

output:

145619900

result:

ok single line: '145619900'

Test #39:

score: 0
Accepted
time: 44ms
memory: 6360kb

input:

90 183 67 8 171 26

output:

899333159

result:

ok single line: '899333159'

Test #40:

score: 0
Accepted
time: 5ms
memory: 6328kb

input:

107 178 32 24 103 12

output:

82019799

result:

ok single line: '82019799'

Test #41:

score: 0
Accepted
time: 19ms
memory: 6328kb

input:

160 23 61 60 17 3

output:

350971684

result:

ok single line: '350971684'

Test #42:

score: 0
Accepted
time: 0ms
memory: 6032kb

input:

100 176 10 54 58 4

output:

978823166

result:

ok single line: '978823166'

Test #43:

score: 0
Accepted
time: 6ms
memory: 6352kb

input:

181 183 42 7 91 41

output:

690262327

result:

ok single line: '690262327'

Test #44:

score: 0
Accepted
time: 14ms
memory: 6184kb

input:

105 131 47 53 68 33

output:

806603020

result:

ok single line: '806603020'

Test #45:

score: 0
Accepted
time: 43ms
memory: 6660kb

input:

51 10 100 1 5 73

output:

341852925

result:

ok single line: '341852925'

Test #46:

score: 0
Accepted
time: 57ms
memory: 6376kb

input:

87 198 73 75 109 72

output:

741170008

result:

ok single line: '741170008'

Test #47:

score: 0
Accepted
time: 0ms
memory: 6116kb

input:

25 158 13 22 1 1

output:

237363061

result:

ok single line: '237363061'

Test #48:

score: 0
Accepted
time: 51ms
memory: 6340kb

input:

64 112 71 28 109 10

output:

350168232

result:

ok single line: '350168232'

Test #49:

score: 0
Accepted
time: 15ms
memory: 6404kb

input:

143 191 52 10 98 10

output:

71885894

result:

ok single line: '71885894'

Test #50:

score: 0
Accepted
time: 6ms
memory: 6224kb

input:

30 130 36 22 85 6

output:

909971212

result:

ok single line: '909971212'

Test #51:

score: 0
Accepted
time: 7ms
memory: 6280kb

input:

154 136 38 34 109 15

output:

655764791

result:

ok single line: '655764791'

Test #52:

score: 0
Accepted
time: 0ms
memory: 5984kb

input:

13 112 7 9 55 1

output:

623849663

result:

ok single line: '623849663'

Test #53:

score: 0
Accepted
time: 10ms
memory: 6324kb

input:

137 103 47 56 77 35

output:

43033659

result:

ok single line: '43033659'

Test #54:

score: 0
Accepted
time: 5ms
memory: 6272kb

input:

40 17 37 11 7 15

output:

803046927

result:

ok single line: '803046927'

Test #55:

score: 0
Accepted
time: 12ms
memory: 6304kb

input:

166 14 58 49 1 26

output:

664593299

result:

ok single line: '664593299'

Test #56:

score: 0
Accepted
time: 0ms
memory: 6120kb

input:

88 195 15 10 120 5

output:

925522664

result:

ok single line: '925522664'

Test #57:

score: 0
Accepted
time: 176ms
memory: 6560kb

input:

164 166 96 161 138 32

output:

111053370

result:

ok single line: '111053370'

Test #58:

score: 0
Accepted
time: 160ms
memory: 6416kb

input:

145 135 94 68 83 9

output:

394110532

result:

ok single line: '394110532'

Test #59:

score: 0
Accepted
time: 32ms
memory: 6268kb

input:

154 173 63 5 77 51

output:

540440686

result:

ok single line: '540440686'

Test #60:

score: 0
Accepted
time: 4ms
memory: 6256kb

input:

20 91 30 20 83 17

output:

961395776

result:

ok single line: '961395776'

Test #61:

score: 0
Accepted
time: 2ms
memory: 6024kb

input:

144 39 13 77 9 5

output:

99731481

result:

ok single line: '99731481'

Test #62:

score: 0
Accepted
time: 100ms
memory: 6428kb

input:

87 152 83 4 59 81

output:

139490896

result:

ok single line: '139490896'

Test #63:

score: 0
Accepted
time: 131ms
memory: 6392kb

input:

171 135 89 114 124 10

output:

736020363

result:

ok single line: '736020363'

Test #64:

score: 0
Accepted
time: 123ms
memory: 6604kb

input:

82 41 99 66 6 5

output:

882042301

result:

ok single line: '882042301'

Test #65:

score: 0
Accepted
time: 4ms
memory: 6232kb

input:

33 114 28 11 73 11

output:

653378940

result:

ok single line: '653378940'

Test #66:

score: 0
Accepted
time: 2ms
memory: 6184kb

input:

180 73 10 43 63 9

output:

170492767

result:

ok single line: '170492767'

Test #67:

score: 0
Accepted
time: 36ms
memory: 6480kb

input:

33 185 63 19 107 7

output:

907253908

result:

ok single line: '907253908'

Test #68:

score: 0
Accepted
time: 0ms
memory: 6208kb

input:

69 90 22 34 31 3

output:

137223161

result:

ok single line: '137223161'

Test #69:

score: 0
Accepted
time: 28ms
memory: 6324kb

input:

42 45 60 29 38 36

output:

99908563

result:

ok single line: '99908563'

Test #70:

score: 0
Accepted
time: 5ms
memory: 6340kb

input:

69 158 34 56 39 17

output:

681472254

result:

ok single line: '681472254'

Test #71:

score: 0
Accepted
time: 94ms
memory: 6448kb

input:

66 69 84 5 8 41

output:

277373736

result:

ok single line: '277373736'

Test #72:

score: 0
Accepted
time: 32ms
memory: 6296kb

input:

168 31 68 66 4 21

output:

528816013

result:

ok single line: '528816013'

Test #73:

score: 0
Accepted
time: 91ms
memory: 6632kb

input:

65 33 94 2 30 76

output:

331224077

result:

ok single line: '331224077'

Test #74:

score: 0
Accepted
time: 2ms
memory: 6100kb

input:

84 111 12 28 106 12

output:

95279945

result:

ok single line: '95279945'

Test #75:

score: 0
Accepted
time: 98ms
memory: 6424kb

input:

102 77 83 95 62 51

output:

773914979

result:

ok single line: '773914979'

Test #76:

score: 0
Accepted
time: 71ms
memory: 6408kb

input:

113 144 76 24 68 13

output:

845242590

result:

ok single line: '845242590'

Test #77:

score: 0
Accepted
time: 2ms
memory: 6216kb

input:

45 24 9 10 2 5

output:

71790514

result:

ok single line: '71790514'

Test #78:

score: 0
Accepted
time: 30ms
memory: 6344kb

input:

158 98 61 86 50 29

output:

123475901

result:

ok single line: '123475901'

Test #79:

score: 0
Accepted
time: 0ms
memory: 6284kb

input:

118 52 27 11 23 21

output:

489202572

result:

ok single line: '489202572'

Test #80:

score: 0
Accepted
time: 3ms
memory: 6344kb

input:

122 148 35 112 17 17

output:

856169627

result:

ok single line: '856169627'

Test #81:

score: 0
Accepted
time: 2ms
memory: 6096kb

input:

135 114 15 20 43 9

output:

873320383

result:

ok single line: '873320383'

Test #82:

score: 0
Accepted
time: 99ms
memory: 6580kb

input:

89 70 84 70 12 18

output:

302990320

result:

ok single line: '302990320'

Test #83:

score: 0
Accepted
time: 40ms
memory: 6408kb

input:

15 68 67 5 51 66

output:

980298686

result:

ok single line: '980298686'

Test #84:

score: 0
Accepted
time: 5ms
memory: 6440kb

input:

50 2 73 40 2 8

output:

550497760

result:

ok single line: '550497760'

Test #85:

score: 0
Accepted
time: 99ms
memory: 6388kb

input:

117 88 83 93 1 50

output:

645491986

result:

ok single line: '645491986'

Test #86:

score: 0
Accepted
time: 21ms
memory: 6348kb

input:

45 173 54 34 93 3

output:

330947509

result:

ok single line: '330947509'

Test #87:

score: 0
Accepted
time: 2ms
memory: 6144kb

input:

39 10 22 34 6 20

output:

184357429

result:

ok single line: '184357429'

Test #88:

score: 0
Accepted
time: 33ms
memory: 6516kb

input:

58 27 71 55 19 22

output:

201813851

result:

ok single line: '201813851'

Test #89:

score: 0
Accepted
time: 4ms
memory: 6372kb

input:

123 57 40 14 38 23

output:

891805630

result:

ok single line: '891805630'

Test #90:

score: 0
Accepted
time: 52ms
memory: 6452kb

input:

84 64 70 12 2 23

output:

351372969

result:

ok single line: '351372969'

Test #91:

score: 0
Accepted
time: 59ms
memory: 6448kb

input:

46 160 72 21 146 9

output:

625614461

result:

ok single line: '625614461'

Test #92:

score: 0
Accepted
time: 21ms
memory: 6256kb

input:

45 99 57 25 40 4

output:

498175745

result:

ok single line: '498175745'

Test #93:

score: 0
Accepted
time: 2ms
memory: 6168kb

input:

15 21 12 14 6 3

output:

727195216

result:

ok single line: '727195216'

Test #94:

score: 0
Accepted
time: 2ms
memory: 6236kb

input:

154 77 32 73 62 15

output:

513610382

result:

ok single line: '513610382'

Test #95:

score: 0
Accepted
time: 0ms
memory: 6116kb

input:

165 97 16 158 69 11

output:

308621770

result:

ok single line: '308621770'

Test #96:

score: 0
Accepted
time: 179ms
memory: 6644kb

input:

146 128 97 132 24 10

output:

751957330

result:

ok single line: '751957330'

Test #97:

score: 0
Accepted
time: 3ms
memory: 6200kb

input:

49 39 35 2 10 14

output:

338882448

result:

ok single line: '338882448'

Test #98:

score: 0
Accepted
time: 5ms
memory: 6468kb

input:

73 1 73 35 1 44

output:

126891463

result:

ok single line: '126891463'

Test #99:

score: 0
Accepted
time: 28ms
memory: 6456kb

input:

69 82 59 1 73 1

output:

436743471

result:

ok single line: '436743471'

Test #100:

score: 0
Accepted
time: 8ms
memory: 6236kb

input:

88 86 40 19 77 4

output:

758000538

result:

ok single line: '758000538'