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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#396045 | #3082. Ascending Matrix | SamponYW | AC ✓ | 65ms | 5124kb | C++14 | 2.9kb | 2024-04-22 10:58:57 | 2024-04-22 10:58:57 |
Judging History
answer
#include <bits/stdc++.h>
#define db double
#define il inline
#define re register
#define ll long long
#define ui unsigned
#define ull ui ll
#define i128 __int128
#define pii pair<int, int>
#define fi first
#define se second
#define eb emplace_back
#define SZ(v) (int)v.size()
#define ALL(v) v.begin(), v.end()
#define mems(v, x) memset(v, x, sizeof(v))
#define memc(a, b) memcpy(a, b, sizeof(a))
#define FOR(i, L, R) for(re int i = (L); i <= (R); ++i)
#define ROF(i, R, L) for(re int i = (R); i >= (L); --i)
#define LS i << 1, l, mid
#define RS i << 1 | 1, mid + 1, r
#define popc(x) __builtin_popcount(x)
using namespace std;
using poly = vector<int> ;
using Fp = pair<poly, poly> ;
#define N 305
#define P 998244353
il int add(int x, int y) {return x + y < P ? x + y : x + y - P;}
il void addr(int &x, int y) {(x += y) >= P && (x -= P);}
il int qpow(int p, int n = P - 2) {
int s = 1;
while(n) {
if(n & 1) s = 1ll * s * p % P;
p = 1ll * p * p % P, n >>= 1;
}
return s;
}
int n, m, K, R, C, V;
bool u[N][N];
struct F {
int k, b;
il int v(int x) {return add(1ll * k * x % P, b);}
il void operator += (const F &t) {addr(k, t.k), addr(b, t.b);}
il void operator -= (const F &t) {addr(k, P - t.k), addr(b, P - t.b);}
} dp[N][N], f[N][N];
il void DP(int X, int Y) {
mems(dp, 0), dp[X][Y] = {0, 1};
ROF(i, X, 1) FOR(j, Y, m + K) {
if(u[i][j]) addr(dp[i][j].k, dp[i][j].b), dp[i][j].b = 0;
if(i == R + V - 1 && j == C + V - 1) dp[i][j] = {0, 0};
if(i > 1) dp[i - 1][j] += dp[i][j]; if(j < m + K) dp[i][j + 1] += dp[i][j];
}
}
int v[N][N], w[N];
il int det() {
int s = 1;
FOR(i, 1, K) {
int t = i;
FOR(j, i, K) if(v[j][i]) {t = j; break;}
if(i != t) swap(v[i], v[t]), s = -s;
int inv = qpow(v[i][i]);
FOR(j, i + 1, K) {
int c = 1ll * v[j][i] * inv % P;
FOR(k, i, K) addr(v[j][k], P - 1ll * c * v[i][k] % P);
}
}
FOR(i, 1, K) s = 1ll * s * v[i][i] % P;
return (s + P) % P;
}
il void gauss() {
FOR(i, 0, K) {
int t = i;
FOR(j, i, K) if(v[j][i]) {t = j; break;}
if(i != t) swap(v[i], v[t]);
int inv = qpow(v[i][i]);
FOR(j, 0, K) if(i != j) {
int c = 1ll * v[j][i] * inv % P;
FOR(k, i, K + 1) addr(v[j][k], P - 1ll * c * v[i][k] % P);
}
}
FOR(i, 0, K) w[i] = 1ll * v[i][K + 1] * qpow(v[i][i]) % P;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
cin >> n >> m >> K >> R >> C >> V, --K;
FOR(i, 1, R + V - 1) FOR(j, 1, C + V - 1) u[i][j] = 1;
FOR(i, 1, K) {DP(i + n, i); FOR(j, 1, K) f[i][j] = dp[j][j + m];}
// FOR(i, 1, K) FOR(j, 1, K) f[i][j].print(), cout << " \n"[j == K];
FOR(x, 0, K) {FOR(i, 1, K) FOR(j, 1, K) v[i][j] = f[i][j].v(x); w[x] = det();}
FOR(x, 0, K) {
int c = 1;
FOR(i, 0, K) v[x][i] = c, c = 1ll * c * x % P;
v[x][K + 1] = w[x];
}
gauss(), cout << w[V - 1];
cerr << 1.0 * clock() / CLOCKS_PER_SEC;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 6ms
memory: 4852kb
input:
148 129 48 144 105 13
output:
467058311
result:
ok single line: '467058311'
Test #2:
score: 0
Accepted
time: 1ms
memory: 4784kb
input:
57 48 11 56 9 1
output:
951177245
result:
ok single line: '951177245'
Test #3:
score: 0
Accepted
time: 22ms
memory: 4876kb
input:
121 146 72 117 72 25
output:
284798523
result:
ok single line: '284798523'
Test #4:
score: 0
Accepted
time: 1ms
memory: 4776kb
input:
66 142 11 51 124 4
output:
542285716
result:
ok single line: '542285716'
Test #5:
score: 0
Accepted
time: 59ms
memory: 5088kb
input:
45 127 98 3 31 80
output:
116902187
result:
ok single line: '116902187'
Test #6:
score: 0
Accepted
time: 6ms
memory: 4896kb
input:
125 199 45 51 91 21
output:
715355617
result:
ok single line: '715355617'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4604kb
input:
41 153 6 6 147 2
output:
190519561
result:
ok single line: '190519561'
Test #8:
score: 0
Accepted
time: 21ms
memory: 4808kb
input:
112 108 69 99 29 47
output:
481688971
result:
ok single line: '481688971'
Test #9:
score: 0
Accepted
time: 58ms
memory: 4952kb
input:
138 99 94 73 43 73
output:
667469005
result:
ok single line: '667469005'
Test #10:
score: 0
Accepted
time: 2ms
memory: 4712kb
input:
143 147 18 24 141 9
output:
763965115
result:
ok single line: '763965115'
Test #11:
score: 0
Accepted
time: 62ms
memory: 5104kb
input:
99 63 97 78 51 66
output:
130195301
result:
ok single line: '130195301'
Test #12:
score: 0
Accepted
time: 1ms
memory: 4776kb
input:
103 23 10 25 7 4
output:
674555733
result:
ok single line: '674555733'
Test #13:
score: 0
Accepted
time: 8ms
memory: 4904kb
input:
137 194 42 125 104 17
output:
416667361
result:
ok single line: '416667361'
Test #14:
score: 0
Accepted
time: 3ms
memory: 4664kb
input:
191 13 37 42 2 21
output:
530754407
result:
ok single line: '530754407'
Test #15:
score: 0
Accepted
time: 6ms
memory: 4944kb
input:
195 33 53 101 29 32
output:
851306824
result:
ok single line: '851306824'
Test #16:
score: 0
Accepted
time: 1ms
memory: 4768kb
input:
84 173 8 70 70 6
output:
25135799
result:
ok single line: '25135799'
Test #17:
score: 0
Accepted
time: 3ms
memory: 4896kb
input:
39 53 49 37 6 9
output:
640044940
result:
ok single line: '640044940'
Test #18:
score: 0
Accepted
time: 22ms
memory: 5000kb
input:
135 129 68 134 86 16
output:
910022919
result:
ok single line: '910022919'
Test #19:
score: 0
Accepted
time: 10ms
memory: 4928kb
input:
62 74 56 28 12 46
output:
774987233
result:
ok single line: '774987233'
Test #20:
score: 0
Accepted
time: 34ms
memory: 5028kb
input:
87 135 81 27 44 58
output:
629485683
result:
ok single line: '629485683'
Test #21:
score: 0
Accepted
time: 10ms
memory: 4892kb
input:
148 199 44 79 81 40
output:
369408819
result:
ok single line: '369408819'
Test #22:
score: 0
Accepted
time: 1ms
memory: 4660kb
input:
18 195 5 17 151 5
output:
198068951
result:
ok single line: '198068951'
Test #23:
score: 0
Accepted
time: 32ms
memory: 5024kb
input:
200 137 75 67 65 74
output:
864017958
result:
ok single line: '864017958'
Test #24:
score: 0
Accepted
time: 15ms
memory: 4960kb
input:
171 162 56 113 97 30
output:
255341800
result:
ok single line: '255341800'
Test #25:
score: 0
Accepted
time: 3ms
memory: 4852kb
input:
8 134 38 1 93 10
output:
282048962
result:
ok single line: '282048962'
Test #26:
score: 0
Accepted
time: 49ms
memory: 5052kb
input:
13 55 93 3 25 40
output:
852404927
result:
ok single line: '852404927'
Test #27:
score: 0
Accepted
time: 4ms
memory: 4892kb
input:
169 157 42 77 108 39
output:
595819517
result:
ok single line: '595819517'
Test #28:
score: 0
Accepted
time: 43ms
memory: 5044kb
input:
41 199 87 18 82 58
output:
698977796
result:
ok single line: '698977796'
Test #29:
score: 0
Accepted
time: 12ms
memory: 4776kb
input:
190 68 57 188 59 15
output:
46174623
result:
ok single line: '46174623'
Test #30:
score: 0
Accepted
time: 16ms
memory: 5032kb
input:
90 52 71 39 41 23
output:
417181087
result:
ok single line: '417181087'
Test #31:
score: 0
Accepted
time: 45ms
memory: 4852kb
input:
108 76 89 55 40 13
output:
210578964
result:
ok single line: '210578964'
Test #32:
score: 0
Accepted
time: 5ms
memory: 4856kb
input:
166 191 27 102 30 11
output:
365224233
result:
ok single line: '365224233'
Test #33:
score: 0
Accepted
time: 1ms
memory: 4724kb
input:
41 166 4 10 49 2
output:
245797147
result:
ok single line: '245797147'
Test #34:
score: 0
Accepted
time: 33ms
memory: 4952kb
input:
135 128 79 44 16 6
output:
203896980
result:
ok single line: '203896980'
Test #35:
score: 0
Accepted
time: 35ms
memory: 5028kb
input:
101 193 79 43 65 75
output:
27637457
result:
ok single line: '27637457'
Test #36:
score: 0
Accepted
time: 9ms
memory: 4932kb
input:
88 81 53 35 54 47
output:
950708598
result:
ok single line: '950708598'
Test #37:
score: 0
Accepted
time: 2ms
memory: 4820kb
input:
87 40 28 37 8 8
output:
817953396
result:
ok single line: '817953396'
Test #38:
score: 0
Accepted
time: 59ms
memory: 5096kb
input:
193 136 94 12 94 23
output:
145619900
result:
ok single line: '145619900'
Test #39:
score: 0
Accepted
time: 20ms
memory: 4956kb
input:
90 183 67 8 171 26
output:
899333159
result:
ok single line: '899333159'
Test #40:
score: 0
Accepted
time: 4ms
memory: 4856kb
input:
107 178 32 24 103 12
output:
82019799
result:
ok single line: '82019799'
Test #41:
score: 0
Accepted
time: 13ms
memory: 4944kb
input:
160 23 61 60 17 3
output:
350971684
result:
ok single line: '350971684'
Test #42:
score: 0
Accepted
time: 1ms
memory: 4780kb
input:
100 176 10 54 58 4
output:
978823166
result:
ok single line: '978823166'
Test #43:
score: 0
Accepted
time: 9ms
memory: 4672kb
input:
181 183 42 7 91 41
output:
690262327
result:
ok single line: '690262327'
Test #44:
score: 0
Accepted
time: 8ms
memory: 4904kb
input:
105 131 47 53 68 33
output:
806603020
result:
ok single line: '806603020'
Test #45:
score: 0
Accepted
time: 64ms
memory: 5084kb
input:
51 10 100 1 5 73
output:
341852925
result:
ok single line: '341852925'
Test #46:
score: 0
Accepted
time: 27ms
memory: 4968kb
input:
87 198 73 75 109 72
output:
741170008
result:
ok single line: '741170008'
Test #47:
score: 0
Accepted
time: 0ms
memory: 4756kb
input:
25 158 13 22 1 1
output:
237363061
result:
ok single line: '237363061'
Test #48:
score: 0
Accepted
time: 17ms
memory: 4840kb
input:
64 112 71 28 109 10
output:
350168232
result:
ok single line: '350168232'
Test #49:
score: 0
Accepted
time: 12ms
memory: 4892kb
input:
143 191 52 10 98 10
output:
71885894
result:
ok single line: '71885894'
Test #50:
score: 0
Accepted
time: 3ms
memory: 4856kb
input:
30 130 36 22 85 6
output:
909971212
result:
ok single line: '909971212'
Test #51:
score: 0
Accepted
time: 6ms
memory: 4860kb
input:
154 136 38 34 109 15
output:
655764791
result:
ok single line: '655764791'
Test #52:
score: 0
Accepted
time: 1ms
memory: 4732kb
input:
13 112 7 9 55 1
output:
623849663
result:
ok single line: '623849663'
Test #53:
score: 0
Accepted
time: 8ms
memory: 4896kb
input:
137 103 47 56 77 35
output:
43033659
result:
ok single line: '43033659'
Test #54:
score: 0
Accepted
time: 0ms
memory: 4868kb
input:
40 17 37 11 7 15
output:
803046927
result:
ok single line: '803046927'
Test #55:
score: 0
Accepted
time: 3ms
memory: 4896kb
input:
166 14 58 49 1 26
output:
664593299
result:
ok single line: '664593299'
Test #56:
score: 0
Accepted
time: 2ms
memory: 4716kb
input:
88 195 15 10 120 5
output:
925522664
result:
ok single line: '925522664'
Test #57:
score: 0
Accepted
time: 65ms
memory: 5124kb
input:
164 166 96 161 138 32
output:
111053370
result:
ok single line: '111053370'
Test #58:
score: 0
Accepted
time: 59ms
memory: 4872kb
input:
145 135 94 68 83 9
output:
394110532
result:
ok single line: '394110532'
Test #59:
score: 0
Accepted
time: 19ms
memory: 4968kb
input:
154 173 63 5 77 51
output:
540440686
result:
ok single line: '540440686'
Test #60:
score: 0
Accepted
time: 2ms
memory: 4692kb
input:
20 91 30 20 83 17
output:
961395776
result:
ok single line: '961395776'
Test #61:
score: 0
Accepted
time: 0ms
memory: 4584kb
input:
144 39 13 77 9 5
output:
99731481
result:
ok single line: '99731481'
Test #62:
score: 0
Accepted
time: 38ms
memory: 5028kb
input:
87 152 83 4 59 81
output:
139490896
result:
ok single line: '139490896'
Test #63:
score: 0
Accepted
time: 53ms
memory: 5064kb
input:
171 135 89 114 124 10
output:
736020363
result:
ok single line: '736020363'
Test #64:
score: 0
Accepted
time: 63ms
memory: 5084kb
input:
82 41 99 66 6 5
output:
882042301
result:
ok single line: '882042301'
Test #65:
score: 0
Accepted
time: 2ms
memory: 4768kb
input:
33 114 28 11 73 11
output:
653378940
result:
ok single line: '653378940'
Test #66:
score: 0
Accepted
time: 1ms
memory: 4760kb
input:
180 73 10 43 63 9
output:
170492767
result:
ok single line: '170492767'
Test #67:
score: 0
Accepted
time: 14ms
memory: 4932kb
input:
33 185 63 19 107 7
output:
907253908
result:
ok single line: '907253908'
Test #68:
score: 0
Accepted
time: 0ms
memory: 4716kb
input:
69 90 22 34 31 3
output:
137223161
result:
ok single line: '137223161'
Test #69:
score: 0
Accepted
time: 7ms
memory: 4948kb
input:
42 45 60 29 38 36
output:
99908563
result:
ok single line: '99908563'
Test #70:
score: 0
Accepted
time: 2ms
memory: 4860kb
input:
69 158 34 56 39 17
output:
681472254
result:
ok single line: '681472254'
Test #71:
score: 0
Accepted
time: 36ms
memory: 5040kb
input:
66 69 84 5 8 41
output:
277373736
result:
ok single line: '277373736'
Test #72:
score: 0
Accepted
time: 18ms
memory: 4924kb
input:
168 31 68 66 4 21
output:
528816013
result:
ok single line: '528816013'
Test #73:
score: 0
Accepted
time: 52ms
memory: 5016kb
input:
65 33 94 2 30 76
output:
331224077
result:
ok single line: '331224077'
Test #74:
score: 0
Accepted
time: 1ms
memory: 4680kb
input:
84 111 12 28 106 12
output:
95279945
result:
ok single line: '95279945'
Test #75:
score: 0
Accepted
time: 37ms
memory: 5000kb
input:
102 77 83 95 62 51
output:
773914979
result:
ok single line: '773914979'
Test #76:
score: 0
Accepted
time: 29ms
memory: 4988kb
input:
113 144 76 24 68 13
output:
845242590
result:
ok single line: '845242590'
Test #77:
score: 0
Accepted
time: 1ms
memory: 4744kb
input:
45 24 9 10 2 5
output:
71790514
result:
ok single line: '71790514'
Test #78:
score: 0
Accepted
time: 15ms
memory: 4772kb
input:
158 98 61 86 50 29
output:
123475901
result:
ok single line: '123475901'
Test #79:
score: 0
Accepted
time: 2ms
memory: 4816kb
input:
118 52 27 11 23 21
output:
489202572
result:
ok single line: '489202572'
Test #80:
score: 0
Accepted
time: 5ms
memory: 4876kb
input:
122 148 35 112 17 17
output:
856169627
result:
ok single line: '856169627'
Test #81:
score: 0
Accepted
time: 2ms
memory: 4736kb
input:
135 114 15 20 43 9
output:
873320383
result:
ok single line: '873320383'
Test #82:
score: 0
Accepted
time: 36ms
memory: 4996kb
input:
89 70 84 70 12 18
output:
302990320
result:
ok single line: '302990320'
Test #83:
score: 0
Accepted
time: 16ms
memory: 4968kb
input:
15 68 67 5 51 66
output:
980298686
result:
ok single line: '980298686'
Test #84:
score: 0
Accepted
time: 20ms
memory: 4792kb
input:
50 2 73 40 2 8
output:
550497760
result:
ok single line: '550497760'
Test #85:
score: 0
Accepted
time: 36ms
memory: 5056kb
input:
117 88 83 93 1 50
output:
645491986
result:
ok single line: '645491986'
Test #86:
score: 0
Accepted
time: 9ms
memory: 4912kb
input:
45 173 54 34 93 3
output:
330947509
result:
ok single line: '330947509'
Test #87:
score: 0
Accepted
time: 2ms
memory: 4792kb
input:
39 10 22 34 6 20
output:
184357429
result:
ok single line: '184357429'
Test #88:
score: 0
Accepted
time: 19ms
memory: 4988kb
input:
58 27 71 55 19 22
output:
201813851
result:
ok single line: '201813851'
Test #89:
score: 0
Accepted
time: 5ms
memory: 4860kb
input:
123 57 40 14 38 23
output:
891805630
result:
ok single line: '891805630'
Test #90:
score: 0
Accepted
time: 19ms
memory: 4968kb
input:
84 64 70 12 2 23
output:
351372969
result:
ok single line: '351372969'
Test #91:
score: 0
Accepted
time: 22ms
memory: 4960kb
input:
46 160 72 21 146 9
output:
625614461
result:
ok single line: '625614461'
Test #92:
score: 0
Accepted
time: 10ms
memory: 4880kb
input:
45 99 57 25 40 4
output:
498175745
result:
ok single line: '498175745'
Test #93:
score: 0
Accepted
time: 1ms
memory: 4800kb
input:
15 21 12 14 6 3
output:
727195216
result:
ok single line: '727195216'
Test #94:
score: 0
Accepted
time: 4ms
memory: 4896kb
input:
154 77 32 73 62 15
output:
513610382
result:
ok single line: '513610382'
Test #95:
score: 0
Accepted
time: 0ms
memory: 4624kb
input:
165 97 16 158 69 11
output:
308621770
result:
ok single line: '308621770'
Test #96:
score: 0
Accepted
time: 65ms
memory: 5100kb
input:
146 128 97 132 24 10
output:
751957330
result:
ok single line: '751957330'
Test #97:
score: 0
Accepted
time: 3ms
memory: 4880kb
input:
49 39 35 2 10 14
output:
338882448
result:
ok single line: '338882448'
Test #98:
score: 0
Accepted
time: 21ms
memory: 4992kb
input:
73 1 73 35 1 44
output:
126891463
result:
ok single line: '126891463'
Test #99:
score: 0
Accepted
time: 12ms
memory: 4844kb
input:
69 82 59 1 73 1
output:
436743471
result:
ok single line: '436743471'
Test #100:
score: 0
Accepted
time: 2ms
memory: 4660kb
input:
88 86 40 19 77 4
output:
758000538
result:
ok single line: '758000538'