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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 |
---|---|---|---|---|---|---|---|---|---|
#312273 | #3082. Ascending Matrix | Hunster | AC ✓ | 136ms | 5248kb | C++23 | 3.9kb | 2024-01-23 18:45:20 | 2024-01-23 18:45:20 |
Judging History
answer
#include <bits/stdc++.h>
constexpr int N = 302;
constexpr int mod = 998244353;
constexpr int power(int n, int m) {
int sum = 1;
for (; m; m >>= 1, n = 1ll * n * n % mod)
if (m & 1) sum = 1ll * sum * n % mod;
return sum;
}
int n, m, k, r, c, v;
int ri[N][N], dw[N][N];
std::vector<std::pair<int, int>> e1, e2;
struct Val {int k, b;};
Val operator+(Val x, Val y) { return {(x.k + y.k) % mod, (x.b + y.b) % mod}; }
Val f[N][N];
bool vis[N][N];
Val dis[N][N];
void bfs(int s) {
std::queue<std::pair<int, int>> que;
for (int i = 0; i <= n; i++) for (int j = 0; j <= m; j++) {
f[i][j] = {};
vis[i][j] = 0;
}
f[e1[s].first][e1[s].second] = {0, 1};
que.push(e1[s]);
vis[e1[s].first][e1[s].second] = 1;
while (que.size()) {
auto [x, y] = que.front(); que.pop();
if (x + 1 <= n) {
if (dw[x][y] == -1) continue;
if (dw[x][y]) f[x + 1][y] = f[x + 1][y] + Val{f[x][y].b, 0};
else f[x + 1][y] = f[x + 1][y] + f[x][y];
if (!vis[x + 1][y]) {
que.push({x + 1, y});
vis[x + 1][y] = 1;
}
}
if (y + 1 <= m) {
if (ri[x][y] == -1) continue;
if (ri[x][y]) f[x][y + 1] = f[x][y + 1] + Val{f[x][y].b, 0};
else f[x][y + 1] = f[x][y + 1] + f[x][y];
if (!vis[x][y + 1]) {
que.push({x, y + 1});
vis[x][y + 1] = 1;
}
}
}
for (int i = 0; i < k; i++)
dis[s][i] = f[e2[i].first][e2[i].second];
}
using Mat = std::array<std::array<int, 102>, 102>;
Mat mat;
int main() {
scanf("%d%d%d%d%d%d", &n, &m, &k, &r, &c, &v);
if (k == 1) {
puts("1");
return 0;
}
std::swap(r, c); r = m - r + 1; std::swap(n, m);
k--;
n += k, m += k, r += k;
r -= v - 1, c += v - 1;
for (int i = 1; i <= k; i++) {
e1.push_back({k - i, i});
e2.push_back({n - i, m - k + i});
}
dw[r - 1][c] = ri[r - 1][c - 1] = -1;
for (int x = r, y = c - 1; x <= n && y >= 0; x++, y--) ri[x][y] = dw[x][y] = 1;
for (int i = 0; i < k; i++) bfs(i);
std::vector<std::pair<int, int>> points;
for (int cur = 0; cur <= k; cur++) {
for (int i = 0; i < k; i++) for (int j = 0; j < k; j++)
mat[i][j] = (1ll * cur * dis[i][j].k + dis[i][j].b) % mod;
int res = 1;
for (int i = 0; i < k; i++) {
int p = -1;
for (int j = i; j < k; j++) if (mat[j][i]) {
p = j;
break;
}
if (p == -1) continue;
if (p != i) {
std::swap(mat[p], mat[i]);
res *= -1;
}
int inv = power(mat[i][i], mod - 2);
for (int j = 0; j < k; j++) {
if (j == i) continue;
int t = 1ll * inv * mat[j][i] % mod;
for (int o = 0; o < k; o++)
mat[j][o] = (mat[j][o] - 1ll * t * mat[i][o]) % mod;
}
}
for (int i = 0; i < k; i++) res = 1ll * res * mat[i][i] % mod;
points.push_back({cur, (res + mod) % mod});
}
int ans[N] = {};
for (int i = 0; i < points.size(); i++) {
int cur[N] = {points[i].second};
for (int j = 0; j < points.size(); j++) {
if (i == j) continue;
cur[0] = 1ll * cur[0] * power(points[i].first - points[j].first, mod - 2) % mod;
}
int t = 0;
for (int j = 0; j < points.size(); j++) {
if (i == j) continue;
for (int o = t + 1; o >= 0; o--)
cur[o] = ((o > 0 ? cur[o - 1] : 0) - 1ll * cur[o] * points[j].first) % mod;
t++;
}
for (int i = 0; i <= t; i++)
ans[i] = (ans[i] + cur[i]) % mod;
}
printf("%d\n", (ans[v - 1] + mod) % mod);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 17ms
memory: 4700kb
input:
148 129 48 144 105 13
output:
467058311
result:
ok single line: '467058311'
Test #2:
score: 0
Accepted
time: 1ms
memory: 4288kb
input:
57 48 11 56 9 1
output:
951177245
result:
ok single line: '951177245'
Test #3:
score: 0
Accepted
time: 52ms
memory: 4828kb
input:
121 146 72 117 72 25
output:
284798523
result:
ok single line: '284798523'
Test #4:
score: 0
Accepted
time: 2ms
memory: 4356kb
input:
66 142 11 51 124 4
output:
542285716
result:
ok single line: '542285716'
Test #5:
score: 0
Accepted
time: 113ms
memory: 4876kb
input:
45 127 98 3 31 80
output:
116902187
result:
ok single line: '116902187'
Test #6:
score: 0
Accepted
time: 22ms
memory: 5032kb
input:
125 199 45 51 91 21
output:
715355617
result:
ok single line: '715355617'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4264kb
input:
41 153 6 6 147 2
output:
190519561
result:
ok single line: '190519561'
Test #8:
score: 0
Accepted
time: 40ms
memory: 4636kb
input:
112 108 69 99 29 47
output:
481688971
result:
ok single line: '481688971'
Test #9:
score: 0
Accepted
time: 105ms
memory: 4872kb
input:
138 99 94 73 43 73
output:
667469005
result:
ok single line: '667469005'
Test #10:
score: 0
Accepted
time: 6ms
memory: 4448kb
input:
143 147 18 24 141 9
output:
763965115
result:
ok single line: '763965115'
Test #11:
score: 0
Accepted
time: 108ms
memory: 4796kb
input:
99 63 97 78 51 66
output:
130195301
result:
ok single line: '130195301'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
103 23 10 25 7 4
output:
674555733
result:
ok single line: '674555733'
Test #13:
score: 0
Accepted
time: 20ms
memory: 4856kb
input:
137 194 42 125 104 17
output:
416667361
result:
ok single line: '416667361'
Test #14:
score: 0
Accepted
time: 6ms
memory: 4064kb
input:
191 13 37 42 2 21
output:
530754407
result:
ok single line: '530754407'
Test #15:
score: 0
Accepted
time: 17ms
memory: 4264kb
input:
195 33 53 101 29 32
output:
851306824
result:
ok single line: '851306824'
Test #16:
score: 0
Accepted
time: 2ms
memory: 4488kb
input:
84 173 8 70 70 6
output:
25135799
result:
ok single line: '25135799'
Test #17:
score: 0
Accepted
time: 3ms
memory: 4232kb
input:
39 53 49 37 6 9
output:
640044940
result:
ok single line: '640044940'
Test #18:
score: 0
Accepted
time: 40ms
memory: 4748kb
input:
135 129 68 134 86 16
output:
910022919
result:
ok single line: '910022919'
Test #19:
score: 0
Accepted
time: 18ms
memory: 4676kb
input:
62 74 56 28 12 46
output:
774987233
result:
ok single line: '774987233'
Test #20:
score: 0
Accepted
time: 65ms
memory: 5044kb
input:
87 135 81 27 44 58
output:
629485683
result:
ok single line: '629485683'
Test #21:
score: 0
Accepted
time: 24ms
memory: 4852kb
input:
148 199 44 79 81 40
output:
369408819
result:
ok single line: '369408819'
Test #22:
score: 0
Accepted
time: 1ms
memory: 4384kb
input:
18 195 5 17 151 5
output:
198068951
result:
ok single line: '198068951'
Test #23:
score: 0
Accepted
time: 69ms
memory: 4848kb
input:
200 137 75 67 65 74
output:
864017958
result:
ok single line: '864017958'
Test #24:
score: 0
Accepted
time: 29ms
memory: 4832kb
input:
171 162 56 113 97 30
output:
255341800
result:
ok single line: '255341800'
Test #25:
score: 0
Accepted
time: 2ms
memory: 4680kb
input:
8 134 38 1 93 10
output:
282048962
result:
ok single line: '282048962'
Test #26:
score: 0
Accepted
time: 77ms
memory: 4576kb
input:
13 55 93 3 25 40
output:
852404927
result:
ok single line: '852404927'
Test #27:
score: 0
Accepted
time: 20ms
memory: 4708kb
input:
169 157 42 77 108 39
output:
595819517
result:
ok single line: '595819517'
Test #28:
score: 0
Accepted
time: 80ms
memory: 5000kb
input:
41 199 87 18 82 58
output:
698977796
result:
ok single line: '698977796'
Test #29:
score: 0
Accepted
time: 25ms
memory: 4492kb
input:
190 68 57 188 59 15
output:
46174623
result:
ok single line: '46174623'
Test #30:
score: 0
Accepted
time: 36ms
memory: 4560kb
input:
90 52 71 39 41 23
output:
417181087
result:
ok single line: '417181087'
Test #31:
score: 0
Accepted
time: 82ms
memory: 4636kb
input:
108 76 89 55 40 13
output:
210578964
result:
ok single line: '210578964'
Test #32:
score: 0
Accepted
time: 6ms
memory: 4544kb
input:
166 191 27 102 30 11
output:
365224233
result:
ok single line: '365224233'
Test #33:
score: 0
Accepted
time: 1ms
memory: 4316kb
input:
41 166 4 10 49 2
output:
245797147
result:
ok single line: '245797147'
Test #34:
score: 0
Accepted
time: 67ms
memory: 4616kb
input:
135 128 79 44 16 6
output:
203896980
result:
ok single line: '203896980'
Test #35:
score: 0
Accepted
time: 70ms
memory: 5044kb
input:
101 193 79 43 65 75
output:
27637457
result:
ok single line: '27637457'
Test #36:
score: 0
Accepted
time: 17ms
memory: 4496kb
input:
88 81 53 35 54 47
output:
950708598
result:
ok single line: '950708598'
Test #37:
score: 0
Accepted
time: 3ms
memory: 4108kb
input:
87 40 28 37 8 8
output:
817953396
result:
ok single line: '817953396'
Test #38:
score: 0
Accepted
time: 126ms
memory: 4780kb
input:
193 136 94 12 94 23
output:
145619900
result:
ok single line: '145619900'
Test #39:
score: 0
Accepted
time: 38ms
memory: 4776kb
input:
90 183 67 8 171 26
output:
899333159
result:
ok single line: '899333159'
Test #40:
score: 0
Accepted
time: 11ms
memory: 4540kb
input:
107 178 32 24 103 12
output:
82019799
result:
ok single line: '82019799'
Test #41:
score: 0
Accepted
time: 22ms
memory: 4320kb
input:
160 23 61 60 17 3
output:
350971684
result:
ok single line: '350971684'
Test #42:
score: 0
Accepted
time: 0ms
memory: 4396kb
input:
100 176 10 54 58 4
output:
978823166
result:
ok single line: '978823166'
Test #43:
score: 0
Accepted
time: 24ms
memory: 4656kb
input:
181 183 42 7 91 41
output:
690262327
result:
ok single line: '690262327'
Test #44:
score: 0
Accepted
time: 13ms
memory: 4624kb
input:
105 131 47 53 68 33
output:
806603020
result:
ok single line: '806603020'
Test #45:
score: 0
Accepted
time: 107ms
memory: 4532kb
input:
51 10 100 1 5 73
output:
341852925
result:
ok single line: '341852925'
Test #46:
score: 0
Accepted
time: 54ms
memory: 5092kb
input:
87 198 73 75 109 72
output:
741170008
result:
ok single line: '741170008'
Test #47:
score: 0
Accepted
time: 1ms
memory: 4280kb
input:
25 158 13 22 1 1
output:
237363061
result:
ok single line: '237363061'
Test #48:
score: 0
Accepted
time: 39ms
memory: 4564kb
input:
64 112 71 28 109 10
output:
350168232
result:
ok single line: '350168232'
Test #49:
score: 0
Accepted
time: 30ms
memory: 4640kb
input:
143 191 52 10 98 10
output:
71885894
result:
ok single line: '71885894'
Test #50:
score: 0
Accepted
time: 6ms
memory: 4404kb
input:
30 130 36 22 85 6
output:
909971212
result:
ok single line: '909971212'
Test #51:
score: 0
Accepted
time: 15ms
memory: 4480kb
input:
154 136 38 34 109 15
output:
655764791
result:
ok single line: '655764791'
Test #52:
score: 0
Accepted
time: 1ms
memory: 4180kb
input:
13 112 7 9 55 1
output:
623849663
result:
ok single line: '623849663'
Test #53:
score: 0
Accepted
time: 17ms
memory: 4536kb
input:
137 103 47 56 77 35
output:
43033659
result:
ok single line: '43033659'
Test #54:
score: 0
Accepted
time: 4ms
memory: 4180kb
input:
40 17 37 11 7 15
output:
803046927
result:
ok single line: '803046927'
Test #55:
score: 0
Accepted
time: 18ms
memory: 4504kb
input:
166 14 58 49 1 26
output:
664593299
result:
ok single line: '664593299'
Test #56:
score: 0
Accepted
time: 4ms
memory: 4500kb
input:
88 195 15 10 120 5
output:
925522664
result:
ok single line: '925522664'
Test #57:
score: 0
Accepted
time: 136ms
memory: 5248kb
input:
164 166 96 161 138 32
output:
111053370
result:
ok single line: '111053370'
Test #58:
score: 0
Accepted
time: 116ms
memory: 4940kb
input:
145 135 94 68 83 9
output:
394110532
result:
ok single line: '394110532'
Test #59:
score: 0
Accepted
time: 44ms
memory: 5016kb
input:
154 173 63 5 77 51
output:
540440686
result:
ok single line: '540440686'
Test #60:
score: 0
Accepted
time: 3ms
memory: 4308kb
input:
20 91 30 20 83 17
output:
961395776
result:
ok single line: '961395776'
Test #61:
score: 0
Accepted
time: 2ms
memory: 3992kb
input:
144 39 13 77 9 5
output:
99731481
result:
ok single line: '99731481'
Test #62:
score: 0
Accepted
time: 73ms
memory: 4884kb
input:
87 152 83 4 59 81
output:
139490896
result:
ok single line: '139490896'
Test #63:
score: 0
Accepted
time: 99ms
memory: 4992kb
input:
171 135 89 114 124 10
output:
736020363
result:
ok single line: '736020363'
Test #64:
score: 0
Accepted
time: 110ms
memory: 4468kb
input:
82 41 99 66 6 5
output:
882042301
result:
ok single line: '882042301'
Test #65:
score: 0
Accepted
time: 3ms
memory: 4304kb
input:
33 114 28 11 73 11
output:
653378940
result:
ok single line: '653378940'
Test #66:
score: 0
Accepted
time: 2ms
memory: 4184kb
input:
180 73 10 43 63 9
output:
170492767
result:
ok single line: '170492767'
Test #67:
score: 0
Accepted
time: 24ms
memory: 4940kb
input:
33 185 63 19 107 7
output:
907253908
result:
ok single line: '907253908'
Test #68:
score: 0
Accepted
time: 3ms
memory: 4260kb
input:
69 90 22 34 31 3
output:
137223161
result:
ok single line: '137223161'
Test #69:
score: 0
Accepted
time: 19ms
memory: 4680kb
input:
42 45 60 29 38 36
output:
99908563
result:
ok single line: '99908563'
Test #70:
score: 0
Accepted
time: 8ms
memory: 4544kb
input:
69 158 34 56 39 17
output:
681472254
result:
ok single line: '681472254'
Test #71:
score: 0
Accepted
time: 63ms
memory: 4544kb
input:
66 69 84 5 8 41
output:
277373736
result:
ok single line: '277373736'
Test #72:
score: 0
Accepted
time: 33ms
memory: 4308kb
input:
168 31 68 66 4 21
output:
528816013
result:
ok single line: '528816013'
Test #73:
score: 0
Accepted
time: 85ms
memory: 4572kb
input:
65 33 94 2 30 76
output:
331224077
result:
ok single line: '331224077'
Test #74:
score: 0
Accepted
time: 2ms
memory: 4244kb
input:
84 111 12 28 106 12
output:
95279945
result:
ok single line: '95279945'
Test #75:
score: 0
Accepted
time: 65ms
memory: 4752kb
input:
102 77 83 95 62 51
output:
773914979
result:
ok single line: '773914979'
Test #76:
score: 0
Accepted
time: 58ms
memory: 4684kb
input:
113 144 76 24 68 13
output:
845242590
result:
ok single line: '845242590'
Test #77:
score: 0
Accepted
time: 1ms
memory: 3924kb
input:
45 24 9 10 2 5
output:
71790514
result:
ok single line: '71790514'
Test #78:
score: 0
Accepted
time: 29ms
memory: 4604kb
input:
158 98 61 86 50 29
output:
123475901
result:
ok single line: '123475901'
Test #79:
score: 0
Accepted
time: 4ms
memory: 4448kb
input:
118 52 27 11 23 21
output:
489202572
result:
ok single line: '489202572'
Test #80:
score: 0
Accepted
time: 12ms
memory: 4488kb
input:
122 148 35 112 17 17
output:
856169627
result:
ok single line: '856169627'
Test #81:
score: 0
Accepted
time: 3ms
memory: 4244kb
input:
135 114 15 20 43 9
output:
873320383
result:
ok single line: '873320383'
Test #82:
score: 0
Accepted
time: 65ms
memory: 4528kb
input:
89 70 84 70 12 18
output:
302990320
result:
ok single line: '302990320'
Test #83:
score: 0
Accepted
time: 25ms
memory: 4528kb
input:
15 68 67 5 51 66
output:
980298686
result:
ok single line: '980298686'
Test #84:
score: 0
Accepted
time: 33ms
memory: 4252kb
input:
50 2 73 40 2 8
output:
550497760
result:
ok single line: '550497760'
Test #85:
score: 0
Accepted
time: 69ms
memory: 4892kb
input:
117 88 83 93 1 50
output:
645491986
result:
ok single line: '645491986'
Test #86:
score: 0
Accepted
time: 19ms
memory: 4664kb
input:
45 173 54 34 93 3
output:
330947509
result:
ok single line: '330947509'
Test #87:
score: 0
Accepted
time: 1ms
memory: 4020kb
input:
39 10 22 34 6 20
output:
184357429
result:
ok single line: '184357429'
Test #88:
score: 0
Accepted
time: 33ms
memory: 4436kb
input:
58 27 71 55 19 22
output:
201813851
result:
ok single line: '201813851'
Test #89:
score: 0
Accepted
time: 9ms
memory: 4272kb
input:
123 57 40 14 38 23
output:
891805630
result:
ok single line: '891805630'
Test #90:
score: 0
Accepted
time: 31ms
memory: 4404kb
input:
84 64 70 12 2 23
output:
351372969
result:
ok single line: '351372969'
Test #91:
score: 0
Accepted
time: 38ms
memory: 4688kb
input:
46 160 72 21 146 9
output:
625614461
result:
ok single line: '625614461'
Test #92:
score: 0
Accepted
time: 14ms
memory: 4476kb
input:
45 99 57 25 40 4
output:
498175745
result:
ok single line: '498175745'
Test #93:
score: 0
Accepted
time: 1ms
memory: 4024kb
input:
15 21 12 14 6 3
output:
727195216
result:
ok single line: '727195216'
Test #94:
score: 0
Accepted
time: 8ms
memory: 4376kb
input:
154 77 32 73 62 15
output:
513610382
result:
ok single line: '513610382'
Test #95:
score: 0
Accepted
time: 2ms
memory: 4352kb
input:
165 97 16 158 69 11
output:
308621770
result:
ok single line: '308621770'
Test #96:
score: 0
Accepted
time: 129ms
memory: 4736kb
input:
146 128 97 132 24 10
output:
751957330
result:
ok single line: '751957330'
Test #97:
score: 0
Accepted
time: 4ms
memory: 4412kb
input:
49 39 35 2 10 14
output:
338882448
result:
ok single line: '338882448'
Test #98:
score: 0
Accepted
time: 33ms
memory: 4592kb
input:
73 1 73 35 1 44
output:
126891463
result:
ok single line: '126891463'
Test #99:
score: 0
Accepted
time: 21ms
memory: 4588kb
input:
69 82 59 1 73 1
output:
436743471
result:
ok single line: '436743471'
Test #100:
score: 0
Accepted
time: 9ms
memory: 4312kb
input:
88 86 40 19 77 4
output:
758000538
result:
ok single line: '758000538'