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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#369482 | #3082. Ascending Matrix | JCY_ | AC ✓ | 47ms | 5272kb | C++14 | 3.7kb | 2024-03-28 11:36:47 | 2024-03-28 11:36:49 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using i128 = __int128;
using u128 = unsigned __int128;
template <typename T>
void chkmax(T &x, const T &y) {
if (x < y) x = y;
}
template <typename T>
void chkmin(T &x, const T &y) {
if (y < x) x = y;
}
constexpr int MOD = 998244353;
int add(int x, int y) {
x += y;
return x >= MOD ? x - MOD : x;
}
void inc(int &x, int y) {
x += y;
if (x >= MOD) x -= MOD;
}
void dec(int &x, int y) {
x -= y;
if (x < 0) x += MOD;
}
int adj(int x) { return x < 0 ? x + MOD : x; }
int neg(int x) { return x ? MOD - x : 0; }
int qpow(int x, int y) {
int ret = 1;
for (; y; y >>= 1, x = (ll)x * x % MOD)
if (y & 1) ret = (ll)ret * x % MOD;
return ret;
}
constexpr int MAXDIS = 610, MAXK = 105;
int n, m, k, r, c, v, C[MAXDIS][MAXDIS];
pair<int, int> wys[MAXK][MAXK];
int calc(int dx, int dy) {
if (dx < 0 || dy < 0) return 0;
return C[dx + dy][dx];
}
namespace gs {
constexpr int MAXN = 105;
int mat[MAXN][MAXN];
int det(int n) {
int ret = 1;
for (int i = 0; i < n; ++i) {
if (!mat[i][i]) {
for (int j = i + 1; j < n; ++j) {
if (mat[j][i]) {
swap_ranges(mat[i] + i, mat[i] + n, mat[j] + i);
ret = neg(ret);
break;
}
}
if (!mat[i][i]) return 0;
}
ret = (ll)ret * mat[i][i] % MOD;
int inv = qpow(mat[i][i], MOD - 2);
for (int j = i + 1; j < n; ++j) {
int coef = (ll)mat[j][i] * inv % MOD;
for (int k = i; k < n; ++k)
mat[j][k] = adj((mat[j][k] - (ll)coef * mat[i][k]) % MOD);
}
}
return ret;
}
} // namespace gs
namespace lgr {
constexpr int MAXN = 105;
int y[MAXN], ans[MAXN], f[MAXN], g[MAXN];
void idft(int n) {
f[0] = 1;
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j >= 1; --j)
f[j] = adj((f[j - 1] - (ll)i * f[j]) % MOD);
f[0] = (ll)f[0] * (MOD - i) % MOD;
}
for (int i = 0; i < n; ++i) {
for (int j = n - 1; j >= 0; --j) g[j] = (f[j + 1] + (ll)i * g[j + 1]) % MOD;
int coef = 1;
for (int j = 0; j < n; ++j)
if (j != i) coef = (ll)coef * (i - j + MOD) % MOD;
coef = (ll)y[i] * qpow(coef, MOD - 2) % MOD;
for (int j = 0; j < n; ++j) ans[j] = (ans[j] + (ll)g[j] * coef) % MOD;
}
}
} // namespace lgr
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
for (int i = 0; i < MAXDIS; ++i) {
C[i][0] = 1;
for (int j = 1; j <= i; ++j) C[i][j] = add(C[i - 1][j - 1], C[i - 1][j]);
}
cin >> n >> m >> k >> r >> c >> v;
r += v - 2;
c += v - 2;
for (int i = 0; i < k - 1; ++i) {
for (int j = 0; j < k - 1; ++j) {
int sx = n + i, sy = i, tx = j, ty = m + j;
if (sx < tx || sy > ty) continue;
if (r > sx || c > ty) {
wys[i][j] = {calc(sx - tx, ty - sy), 0};
continue;
}
if (r < tx || c < sy) {
wys[i][j] = {0, calc(sx - tx, ty - sy)};
continue;
}
wys[i][j].second = adj((calc(sx - tx, ty - sy) -
(ll)calc(sx - r, c - sy) * calc(r - tx, ty - c)) %
MOD);
for (int p = tx; p < r; ++p) {
int tmp = (ll)calc(sx - p, c - 1 - sy) * calc(p - tx, ty - c) % MOD;
dec(wys[i][j].second, tmp);
inc(wys[i][j].first, tmp);
}
}
}
for (int x = 0; x < k; ++x) {
for (int i = 0; i < k - 1; ++i) {
for (int j = 0; j < k - 1; ++j)
gs::mat[i][j] = ((ll)x * wys[i][j].first + wys[i][j].second) % MOD;
}
lgr::y[x] = gs::det(k - 1);
}
lgr::idft(k);
cout << lgr::ans[v - 1] << "\n";
return 0;
}
/*
g++ B.cpp -o B -std=c++14 -O2 -Wall -Wextra -Wshadow -g
-fsanitize=address,undefined
*/
Details
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Test #1:
score: 100
Accepted
time: 5ms
memory: 5096kb
input:
148 129 48 144 105 13
output:
467058311
result:
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Test #2:
score: 0
Accepted
time: 0ms
memory: 5184kb
input:
57 48 11 56 9 1
output:
951177245
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Test #3:
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Accepted
time: 11ms
memory: 5176kb
input:
121 146 72 117 72 25
output:
284798523
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Test #4:
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Accepted
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memory: 5104kb
input:
66 142 11 51 124 4
output:
542285716
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Test #5:
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Accepted
time: 44ms
memory: 5204kb
input:
45 127 98 3 31 80
output:
116902187
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Test #6:
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Accepted
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input:
125 199 45 51 91 21
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715355617
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190519561
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Test #8:
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Accepted
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112 108 69 99 29 47
output:
481688971
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Test #9:
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Accepted
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memory: 5272kb
input:
138 99 94 73 43 73
output:
667469005
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Test #10:
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Accepted
time: 1ms
memory: 5148kb
input:
143 147 18 24 141 9
output:
763965115
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Test #11:
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Accepted
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input:
99 63 97 78 51 66
output:
130195301
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Test #12:
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Accepted
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103 23 10 25 7 4
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674555733
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Test #13:
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137 194 42 125 104 17
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416667361
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Test #14:
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84 173 8 70 70 6
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25135799
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Test #17:
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Accepted
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memory: 5184kb
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39 53 49 37 6 9
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640044940
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Test #18:
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Accepted
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135 129 68 134 86 16
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910022919
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Test #19:
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Accepted
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input:
62 74 56 28 12 46
output:
774987233
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Test #20:
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Accepted
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87 135 81 27 44 58
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629485683
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Test #21:
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369408819
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Test #22:
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198068951
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Test #23:
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200 137 75 67 65 74
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864017958
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171 162 56 113 97 30
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255341800
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Test #25:
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282048962
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Test #26:
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Accepted
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13 55 93 3 25 40
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852404927
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Test #27:
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Accepted
time: 3ms
memory: 5184kb
input:
169 157 42 77 108 39
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595819517
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Test #28:
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Accepted
time: 28ms
memory: 5260kb
input:
41 199 87 18 82 58
output:
698977796
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Test #29:
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Accepted
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input:
190 68 57 188 59 15
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46174623
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Test #30:
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90 52 71 39 41 23
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417181087
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Test #31:
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Accepted
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memory: 5192kb
input:
108 76 89 55 40 13
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210578964
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Test #32:
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Accepted
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input:
166 191 27 102 30 11
output:
365224233
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Test #33:
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Accepted
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41 166 4 10 49 2
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245797147
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Test #34:
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203896980
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Test #35:
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Accepted
time: 16ms
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101 193 79 43 65 75
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27637457
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Test #36:
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88 81 53 35 54 47
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950708598
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Test #37:
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Accepted
time: 1ms
memory: 5068kb
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87 40 28 37 8 8
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817953396
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Test #38:
score: 0
Accepted
time: 38ms
memory: 5212kb
input:
193 136 94 12 94 23
output:
145619900
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Test #39:
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Accepted
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memory: 5260kb
input:
90 183 67 8 171 26
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899333159
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Test #40:
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Accepted
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107 178 32 24 103 12
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82019799
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Test #41:
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Accepted
time: 8ms
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160 23 61 60 17 3
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350971684
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Test #42:
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Accepted
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100 176 10 54 58 4
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978823166
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Test #43:
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Accepted
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181 183 42 7 91 41
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690262327
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Test #44:
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Accepted
time: 2ms
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105 131 47 53 68 33
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806603020
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Test #45:
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Accepted
time: 47ms
memory: 5204kb
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51 10 100 1 5 73
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341852925
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Test #46:
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time: 15ms
memory: 5212kb
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741170008
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Test #47:
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25 158 13 22 1 1
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237363061
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Test #48:
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Accepted
time: 13ms
memory: 5128kb
input:
64 112 71 28 109 10
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350168232
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Test #49:
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143 191 52 10 98 10
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71885894
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Test #50:
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30 130 36 22 85 6
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909971212
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Test #51:
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memory: 5052kb
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154 136 38 34 109 15
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655764791
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Test #52:
score: 0
Accepted
time: 1ms
memory: 5156kb
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13 112 7 9 55 1
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623849663
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Test #53:
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memory: 5156kb
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137 103 47 56 77 35
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43033659
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Test #54:
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40 17 37 11 7 15
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803046927
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Test #55:
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166 14 58 49 1 26
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664593299
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Test #56:
score: 0
Accepted
time: 1ms
memory: 5112kb
input:
88 195 15 10 120 5
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Test #57:
score: 0
Accepted
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memory: 5212kb
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164 166 96 161 138 32
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111053370
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Test #58:
score: 0
Accepted
time: 38ms
memory: 5240kb
input:
145 135 94 68 83 9
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394110532
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Test #59:
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Accepted
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memory: 5248kb
input:
154 173 63 5 77 51
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540440686
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Test #60:
score: 0
Accepted
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memory: 5056kb
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20 91 30 20 83 17
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961395776
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Test #61:
score: 0
Accepted
time: 1ms
memory: 5108kb
input:
144 39 13 77 9 5
output:
99731481
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ok single line: '99731481'
Test #62:
score: 0
Accepted
time: 24ms
memory: 5252kb
input:
87 152 83 4 59 81
output:
139490896
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ok single line: '139490896'
Test #63:
score: 0
Accepted
time: 28ms
memory: 5236kb
input:
171 135 89 114 124 10
output:
736020363
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ok single line: '736020363'
Test #64:
score: 0
Accepted
time: 45ms
memory: 5272kb
input:
82 41 99 66 6 5
output:
882042301
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ok single line: '882042301'
Test #65:
score: 0
Accepted
time: 1ms
memory: 5156kb
input:
33 114 28 11 73 11
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653378940
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ok single line: '653378940'
Test #66:
score: 0
Accepted
time: 1ms
memory: 5108kb
input:
180 73 10 43 63 9
output:
170492767
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ok single line: '170492767'
Test #67:
score: 0
Accepted
time: 9ms
memory: 5096kb
input:
33 185 63 19 107 7
output:
907253908
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ok single line: '907253908'
Test #68:
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Accepted
time: 0ms
memory: 5168kb
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69 90 22 34 31 3
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137223161
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Test #69:
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Accepted
time: 5ms
memory: 5164kb
input:
42 45 60 29 38 36
output:
99908563
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Test #70:
score: 0
Accepted
time: 2ms
memory: 5156kb
input:
69 158 34 56 39 17
output:
681472254
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ok single line: '681472254'
Test #71:
score: 0
Accepted
time: 22ms
memory: 5184kb
input:
66 69 84 5 8 41
output:
277373736
result:
ok single line: '277373736'
Test #72:
score: 0
Accepted
time: 11ms
memory: 5168kb
input:
168 31 68 66 4 21
output:
528816013
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ok single line: '528816013'
Test #73:
score: 0
Accepted
time: 30ms
memory: 5236kb
input:
65 33 94 2 30 76
output:
331224077
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ok single line: '331224077'
Test #74:
score: 0
Accepted
time: 1ms
memory: 5108kb
input:
84 111 12 28 106 12
output:
95279945
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ok single line: '95279945'
Test #75:
score: 0
Accepted
time: 23ms
memory: 5136kb
input:
102 77 83 95 62 51
output:
773914979
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ok single line: '773914979'
Test #76:
score: 0
Accepted
time: 17ms
memory: 5224kb
input:
113 144 76 24 68 13
output:
845242590
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ok single line: '845242590'
Test #77:
score: 0
Accepted
time: 0ms
memory: 5100kb
input:
45 24 9 10 2 5
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71790514
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ok single line: '71790514'
Test #78:
score: 0
Accepted
time: 6ms
memory: 5108kb
input:
158 98 61 86 50 29
output:
123475901
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Test #79:
score: 0
Accepted
time: 1ms
memory: 5156kb
input:
118 52 27 11 23 21
output:
489202572
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Test #80:
score: 0
Accepted
time: 0ms
memory: 5080kb
input:
122 148 35 112 17 17
output:
856169627
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ok single line: '856169627'
Test #81:
score: 0
Accepted
time: 1ms
memory: 5052kb
input:
135 114 15 20 43 9
output:
873320383
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Test #82:
score: 0
Accepted
time: 21ms
memory: 5128kb
input:
89 70 84 70 12 18
output:
302990320
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ok single line: '302990320'
Test #83:
score: 0
Accepted
time: 11ms
memory: 5160kb
input:
15 68 67 5 51 66
output:
980298686
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Test #84:
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Accepted
time: 11ms
memory: 5232kb
input:
50 2 73 40 2 8
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550497760
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Test #85:
score: 0
Accepted
time: 24ms
memory: 5188kb
input:
117 88 83 93 1 50
output:
645491986
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Test #86:
score: 0
Accepted
time: 8ms
memory: 5160kb
input:
45 173 54 34 93 3
output:
330947509
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Test #87:
score: 0
Accepted
time: 1ms
memory: 5048kb
input:
39 10 22 34 6 20
output:
184357429
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Test #88:
score: 0
Accepted
time: 13ms
memory: 5168kb
input:
58 27 71 55 19 22
output:
201813851
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Test #89:
score: 0
Accepted
time: 2ms
memory: 5080kb
input:
123 57 40 14 38 23
output:
891805630
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Test #90:
score: 0
Accepted
time: 9ms
memory: 5264kb
input:
84 64 70 12 2 23
output:
351372969
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Test #91:
score: 0
Accepted
time: 14ms
memory: 5240kb
input:
46 160 72 21 146 9
output:
625614461
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Test #92:
score: 0
Accepted
time: 6ms
memory: 5108kb
input:
45 99 57 25 40 4
output:
498175745
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Test #93:
score: 0
Accepted
time: 1ms
memory: 5092kb
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15 21 12 14 6 3
output:
727195216
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Test #94:
score: 0
Accepted
time: 0ms
memory: 5116kb
input:
154 77 32 73 62 15
output:
513610382
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Test #95:
score: 0
Accepted
time: 1ms
memory: 5040kb
input:
165 97 16 158 69 11
output:
308621770
result:
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Test #96:
score: 0
Accepted
time: 43ms
memory: 5156kb
input:
146 128 97 132 24 10
output:
751957330
result:
ok single line: '751957330'
Test #97:
score: 0
Accepted
time: 2ms
memory: 5192kb
input:
49 39 35 2 10 14
output:
338882448
result:
ok single line: '338882448'
Test #98:
score: 0
Accepted
time: 14ms
memory: 5176kb
input:
73 1 73 35 1 44
output:
126891463
result:
ok single line: '126891463'
Test #99:
score: 0
Accepted
time: 7ms
memory: 5220kb
input:
69 82 59 1 73 1
output:
436743471
result:
ok single line: '436743471'
Test #100:
score: 0
Accepted
time: 2ms
memory: 5184kb
input:
88 86 40 19 77 4
output:
758000538
result:
ok single line: '758000538'