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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#84785 | #1875. Nein | sgc_KrySF | AC ✓ | 101ms | 3628kb | C++14 | 1.9kb | 2023-03-06 18:31:54 | 2023-03-06 18:33:43 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using i128 = __int128;
template <typename T> void write(T x) {
if (x == 0) { putchar('0'); return; }
if (x < 10) { putchar(x+48); return; }
if (x > 9) write(x / 10), putchar(x%10+48);
}
template <typename T> void writeln(T x) { write(x), puts(""); }
const int SZ = 37;
void upd(i128& a, i128 b) { a += b; if (a > 2e18) a = 2e18; }
i128 g[SZ+1][310], dp[2][250], mod, pw[SZ+1];
int K, curg;
i128 dfs(int cur, i64 N, i128 rem) {
if (cur < 0) return 0;
// cerr << "! " << cur << " " << N << '\n';
for (int d = 0; d < 9; d++) {
i128 all = 0, req = (rem + d * pw[cur]) % mod; req = (mod - req) % mod;
for (int t = 0; t <= 50; t++) {
memset(dp, 0, sizeof dp);
i128 treq = req + t * mod;
int o = 0; dp[o][0] = 1;
for (int i = 0; i < K+3; i++) {
memset(dp[o^1], 0, sizeof dp[o^1]);
int cnt = cur/K + (cur%K > i);
for (int j = 0; j < 200; j++) if (dp[o][j] > 0) {
for (int k = 0; k <= (i < K ? 200 : 0); k++) if ((k + j) % 10 == treq/pw[i]%10) {
upd(dp[o^1][(k+j) / 10], dp[o][j] * g[cnt][k]);
}
}
o ^= 1;
}
upd(all, dp[o][0]);
// cerr << "t = " << t << " " << i64(dp[o][0]) << '\n';
if (all >= N) break;
}
if (all >= N) return d * pw[cur] + dfs(cur - 1, N, (rem + d * pw[cur]) % mod);
else N -= all;
// cerr << N << '\n';
}
}
int main() {
// freopen("B.in", "r", stdin);
ios::sync_with_stdio(false), cin.tie(nullptr);
g[0][0] = 1;
for (int i = 0; i <= SZ; i++) {
for (int j = 0; j < 310; j++) if (g[i][j]) {
for (int d = 0; d < 9; d++) if (i+1 <= SZ && j+d < 310)
upd(g[i+1][j+d], g[i][j]);
}
}
// for (int i = 0; i < 6; i++) {
// for (int j = 0; j <= 10; j++)
// cerr << i << " " << j << " " << g[i][j] << '\n';
// }
pw[0] = 1; for (int i = 1; i <= SZ; i++) pw[i] = 10 * pw[i-1];
i64 N; cin >> K >> N, mod = pw[K] - 1, ++N;
writeln(dfs(SZ, N, 0) / mod);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3560kb
input:
1 1
output:
2
result:
ok answer is '2'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
1 8
output:
9
result:
ok answer is '9'
Test #3:
score: 0
Accepted
time: 3ms
memory: 3528kb
input:
1 9
output:
12
result:
ok answer is '12'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3484kb
input:
1 10
output:
13
result:
ok answer is '13'
Test #5:
score: 0
Accepted
time: 9ms
memory: 3588kb
input:
5 1
output:
11112
result:
ok answer is '11112'
Test #6:
score: 0
Accepted
time: 11ms
memory: 3608kb
input:
5 84
output:
11235
result:
ok answer is '11235'
Test #7:
score: 0
Accepted
time: 10ms
memory: 3488kb
input:
5 668
output:
12345
result:
ok answer is '12345'
Test #8:
score: 0
Accepted
time: 11ms
memory: 3628kb
input:
5 733942
output:
2281488
result:
ok answer is '2281488'
Test #9:
score: 0
Accepted
time: 79ms
memory: 3488kb
input:
18 528599760553218747
output:
30725517742188427234
result:
ok answer is '30725517742188427234'
Test #10:
score: 0
Accepted
time: 92ms
memory: 3544kb
input:
18 964828716126767591
output:
55758681752658348563
result:
ok answer is '55758681752658348563'
Test #11:
score: 0
Accepted
time: 76ms
memory: 3588kb
input:
18 401057671700316435
output:
22687686284122211545
result:
ok answer is '22687686284122211545'
Test #12:
score: 0
Accepted
time: 87ms
memory: 3500kb
input:
18 837286627273865280
output:
48255733668453323265
result:
ok answer is '48255733668453323265'
Test #13:
score: 0
Accepted
time: 89ms
memory: 3488kb
input:
18 273515582847414124
output:
15116382182883344554
result:
ok answer is '15116382182883344554'
Test #14:
score: 0
Accepted
time: 84ms
memory: 3536kb
input:
18 55923968082999579
output:
2876461768512185545
result:
ok answer is '2876461768512185545'
Test #15:
score: 0
Accepted
time: 32ms
memory: 3600kb
input:
8 715524960511324231
output:
12022650248772112989
result:
ok answer is '12022650248772112989'
Test #16:
score: 0
Accepted
time: 73ms
memory: 3524kb
input:
16 151753916084873076
output:
6182363727541142425
result:
ok answer is '6182363727541142425'
Test #17:
score: 0
Accepted
time: 18ms
memory: 3532kb
input:
2 587982875953389216
output:
4754915500630529532
result:
ok answer is '4754915500630529532'
Test #18:
score: 0
Accepted
time: 31ms
memory: 3624kb
input:
10 24211831526938061
output:
410770411555582497
result:
ok answer is '410770411555582497'
Test #19:
score: 0
Accepted
time: 84ms
memory: 3484kb
input:
18 460440787100486905
output:
26131416714411853682
result:
ok answer is '26131416714411853682'
Test #20:
score: 0
Accepted
time: 37ms
memory: 3532kb
input:
8 896669742674035749
output:
14750223579258782248
result:
ok answer is '14750223579258782248'
Test #21:
score: 0
Accepted
time: 68ms
memory: 3532kb
input:
12 556270735102360402
output:
13827553636696643430
result:
ok answer is '13827553636696643430'
Test #22:
score: 0
Accepted
time: 17ms
memory: 3512kb
input:
2 992499694970876542
output:
8147123087598806742
result:
ok answer is '8147123087598806742'
Test #23:
score: 0
Accepted
time: 31ms
memory: 3480kb
input:
9 191349424180689911
output:
3224103375245122149
result:
ok answer is '3224103375245122149'
Test #24:
score: 0
Accepted
time: 8ms
memory: 3588kb
input:
1 1000000000000000000
output:
7317596822929805779
result:
ok answer is '7317596822929805779'
Test #25:
score: 0
Accepted
time: 17ms
memory: 3580kb
input:
2 1000000000000000000
output:
8207298656583156714
result:
ok answer is '8207298656583156714'
Test #26:
score: 0
Accepted
time: 15ms
memory: 3532kb
input:
3 1000000000000000000
output:
10124840976332612776
result:
ok answer is '10124840976332612776'
Test #27:
score: 0
Accepted
time: 25ms
memory: 3540kb
input:
4 1000000000000000000
output:
11134918859204347753
result:
ok answer is '11134918859204347753'
Test #28:
score: 0
Accepted
time: 21ms
memory: 3532kb
input:
5 1000000000000000000
output:
12248384925950595769
result:
ok answer is '12248384925950595769'
Test #29:
score: 0
Accepted
time: 42ms
memory: 3568kb
input:
6 1000000000000000000
output:
13481441167144812720
result:
ok answer is '13481441167144812720'
Test #30:
score: 0
Accepted
time: 40ms
memory: 3624kb
input:
7 1000000000000000000
output:
14851839567286627600
result:
ok answer is '14851839567286627600'
Test #31:
score: 0
Accepted
time: 27ms
memory: 3528kb
input:
8 1000000000000000000
output:
16400312227388843586
result:
ok answer is '16400312227388843586'
Test #32:
score: 0
Accepted
time: 41ms
memory: 3484kb
input:
9 1000000000000000000
output:
18070802619848417970
result:
ok answer is '18070802619848417970'
Test #33:
score: 0
Accepted
time: 53ms
memory: 3588kb
input:
10 1000000000000000000
output:
18876263506622668979
result:
ok answer is '18876263506622668979'
Test #34:
score: 0
Accepted
time: 50ms
memory: 3628kb
input:
11 1000000000000000000
output:
22516357784746378893
result:
ok answer is '22516357784746378893'
Test #35:
score: 0
Accepted
time: 54ms
memory: 3508kb
input:
12 1000000000000000000
output:
25606071173776613626
result:
ok answer is '25606071173776613626'
Test #36:
score: 0
Accepted
time: 53ms
memory: 3604kb
input:
13 1000000000000000000
output:
30153652575287329992
result:
ok answer is '30153652575287329992'
Test #37:
score: 0
Accepted
time: 54ms
memory: 3524kb
input:
14 1000000000000000000
output:
34032144146113465692
result:
ok answer is '34032144146113465692'
Test #38:
score: 0
Accepted
time: 86ms
memory: 3524kb
input:
15 1000000000000000000
output:
38476235652741893950
result:
ok answer is '38476235652741893950'
Test #39:
score: 0
Accepted
time: 75ms
memory: 3516kb
input:
16 1000000000000000000
output:
44453843638835448269
result:
ok answer is '44453843638835448269'
Test #40:
score: 0
Accepted
time: 82ms
memory: 3560kb
input:
17 1000000000000000000
output:
51178357488582512218
result:
ok answer is '51178357488582512218'
Test #41:
score: 0
Accepted
time: 86ms
memory: 3524kb
input:
18 1000000000000000000
output:
57644143667246653868
result:
ok answer is '57644143667246653868'
Test #42:
score: 0
Accepted
time: 57ms
memory: 3528kb
input:
11 169906399332236675
output:
3542071158723189134
result:
ok answer is '3542071158723189134'
Test #43:
score: 0
Accepted
time: 44ms
memory: 3536kb
input:
10 836507396055528616
output:
15844261021999264957
result:
ok answer is '15844261021999264957'
Test #44:
score: 0
Accepted
time: 84ms
memory: 3540kb
input:
18 271736347334110166
output:
14838142784382116438
result:
ok answer is '14838142784382116438'
Test #45:
score: 0
Accepted
time: 60ms
memory: 3488kb
input:
13 705965302907659012
output:
20780554485617714682
result:
ok answer is '20780554485617714682'
Test #46:
score: 0
Accepted
time: 75ms
memory: 3524kb
input:
17 141194262776175153
output:
6535463816612312328
result:
ok answer is '6535463816612312328'
Test #47:
score: 0
Accepted
time: 46ms
memory: 3620kb
input:
12 575423218349724000
output:
14318523724188758677
result:
ok answer is '14318523724188758677'
Test #48:
score: 0
Accepted
time: 39ms
memory: 3508kb
input:
11 10652178218240141
output:
201716847375538682
result:
ok answer is '201716847375538682'
Test #49:
score: 0
Accepted
time: 72ms
memory: 3492kb
input:
15 677253166351597490
output:
25718425137845667325
result:
ok answer is '25718425137845667325'
Test #50:
score: 0
Accepted
time: 77ms
memory: 3528kb
input:
14 112482121925146336
output:
3478827471866842353
result:
ok answer is '3478827471866842353'
Test #51:
score: 0
Accepted
time: 60ms
memory: 3548kb
input:
13 138182159835368774
output:
3736504553128889177
result:
ok answer is '3736504553128889177'
Test #52:
score: 0
Accepted
time: 89ms
memory: 3564kb
input:
17 572411115408917620
output:
28263577418567266116
result:
ok answer is '28263577418567266116'
Test #53:
score: 0
Accepted
time: 75ms
memory: 3544kb
input:
16 7640070982466466
output:
275752565647555878
result:
ok answer is '275752565647555878'
Test #54:
score: 0
Accepted
time: 68ms
memory: 3528kb
input:
15 441869026556015312
output:
16212131234378684940
result:
ok answer is '16212131234378684940'
Test #55:
score: 0
Accepted
time: 63ms
memory: 3584kb
input:
14 876097982129564158
output:
30138111462733879719
result:
ok answer is '30138111462733879719'
Test #56:
score: 0
Accepted
time: 87ms
memory: 3512kb
input:
18 543698978852856099
output:
31531851816668641477
result:
ok answer is '31531851816668641477'
Test #57:
score: 0
Accepted
time: 81ms
memory: 3560kb
input:
17 977927934426404945
output:
50224732558555875933
result:
ok answer is '50224732558555875933'
Test #58:
score: 0
Accepted
time: 80ms
memory: 3520kb
input:
16 413156889999953790
output:
17247527871564162333
result:
ok answer is '17247527871564162333'
Test #59:
score: 0
Accepted
time: 70ms
memory: 3500kb
input:
15 847385845573502637
output:
32858466436756182939
result:
ok answer is '32858466436756182939'
Test #60:
score: 0
Accepted
time: 45ms
memory: 3484kb
input:
10 282614801147051482
output:
5234025743251842898
result:
ok answer is '5234025743251842898'
Test #61:
score: 0
Accepted
time: 69ms
memory: 3496kb
input:
15 973760833528793663
output:
37522313475261748199
result:
ok answer is '37522313475261748199'
Test #62:
score: 0
Accepted
time: 52ms
memory: 3500kb
input:
10 408989789102342508
output:
7507683644212199226
result:
ok answer is '7507683644212199226'
Test #63:
score: 0
Accepted
time: 94ms
memory: 3540kb
input:
18 843218748970858650
output:
48517453136216784320
result:
ok answer is '48517453136216784320'
Test #64:
score: 0
Accepted
time: 74ms
memory: 3520kb
input:
17 278447704544407496
output:
13445647446417261863
result:
ok answer is '13445647446417261863'
Test #65:
score: 0
Accepted
time: 79ms
memory: 3548kb
input:
16 712676664412923638
output:
31626684778484371838
result:
ok answer is '31626684778484371838'
Test #66:
score: 0
Accepted
time: 40ms
memory: 3500kb
input:
11 147905615691505187
output:
3115037238176298995
result:
ok answer is '3115037238176298995'
Test #67:
score: 0
Accepted
time: 67ms
memory: 3488kb
input:
14 814506608119829833
output:
27141557811571426774
result:
ok answer is '27141557811571426774'
Test #68:
score: 0
Accepted
time: 101ms
memory: 3588kb
input:
18 249735567988345974
output:
13745718855311428535
result:
ok answer is '13745718855311428535'
Test #69:
score: 0
Accepted
time: 90ms
memory: 3472kb
input:
17 683964523561894820
output:
34462588212244874220
result:
ok answer is '34462588212244874220'
Test #70:
score: 0
Accepted
time: 72ms
memory: 3520kb
input:
12 119193479135443666
output:
2777183132661531726
result:
ok answer is '2777183132661531726'
Test #71:
score: 0
Accepted
time: 84ms
memory: 3588kb
input:
18 577967474662410047
output:
33372657423746582198
result:
ok answer is '33372657423746582198'