| Task: | Lukujono |
| Sender: | okkokko |
| Submission time: | 2021-12-09 16:55:19 +0200 |
| Language: | Python3 (PyPy3) |
| Status: | READY |
| Result: | 100 |
| group | verdict | score |
|---|---|---|
| #1 | ACCEPTED | 16 |
| #2 | ACCEPTED | 34 |
| #3 | ACCEPTED | 50 |
| test | verdict | time | group | |
|---|---|---|---|---|
| #1 | ACCEPTED | 0.05 s | 1 | details |
| #2 | ACCEPTED | 0.04 s | 1 | details |
| #3 | ACCEPTED | 0.04 s | 1 | details |
| #4 | ACCEPTED | 0.04 s | 1 | details |
| #5 | ACCEPTED | 0.05 s | 1 | details |
| #6 | ACCEPTED | 0.05 s | 1 | details |
| #7 | ACCEPTED | 0.05 s | 1 | details |
| #8 | ACCEPTED | 0.05 s | 1 | details |
| #9 | ACCEPTED | 0.07 s | 2 | details |
| #10 | ACCEPTED | 0.07 s | 2 | details |
| #11 | ACCEPTED | 0.07 s | 2 | details |
| #12 | ACCEPTED | 0.07 s | 2 | details |
| #13 | ACCEPTED | 0.06 s | 2 | details |
| #14 | ACCEPTED | 0.07 s | 2 | details |
| #15 | ACCEPTED | 0.06 s | 2 | details |
| #16 | ACCEPTED | 0.07 s | 2 | details |
| #17 | ACCEPTED | 0.37 s | 3 | details |
| #18 | ACCEPTED | 0.45 s | 3 | details |
| #19 | ACCEPTED | 0.30 s | 3 | details |
| #20 | ACCEPTED | 0.47 s | 3 | details |
| #21 | ACCEPTED | 0.54 s | 3 | details |
| #22 | ACCEPTED | 0.46 s | 3 | details |
| #23 | ACCEPTED | 0.39 s | 3 | details |
| #24 | ACCEPTED | 0.45 s | 3 | details |
Code
# n = int(input())
# u = [0, 1]
# for i in range(2, n + 1):
# u.append(sum(u[i // j] for j in range(2, i + 1)))
# print(u[-1])
n = int(input())
u = {0: 0, 1: 1}
def U(x):
if x not in u:
# u[x] = sum(U(x // j) for j in range(2, x // 2 + 1)) + ( # sum(U(x // j) for j in range(x // 2 + 1, x + 1))
# x - (x // 2)
# )
g = 0
# g += sum(U(x // j) for j in range(x // 2 + 1, x + 1))
# g += sum(U(x // j) for j in range(x // 3 + 1, x // 2 + 1))
# g += sum(U(x // j) for j in range(2, x // 3 + 1))
# sum(U(x // j) for j in range(x // (n + 1) + 1, x // n + 1))
# U(n) * (x // n - x // (n + 1))
h = 1
# while x // h > 100:
while x > h < 100:
# sum(U(x // j) for j in range(x // (h + 1) + 1, x // h + 1))
# is equal to
g += U(h) * (x // h - x // (h + 1))
h += 1
g += sum(U(x // j) for j in range(2, x // h + 1))
u[x] = g
return u[x]
print(U(n))
Test details
Test 1
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 542 |
| correct output |
|---|
| 11942 |
| user output |
|---|
| 11942 |
Test 2
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 929 |
| correct output |
|---|
| 29913 |
| user output |
|---|
| 29913 |
Test 3
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 801 |
| correct output |
|---|
| 23460 |
| user output |
|---|
| 23460 |
Test 4
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 935 |
| correct output |
|---|
| 30006 |
| user output |
|---|
| 30006 |
Test 5
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 998 |
| correct output |
|---|
| 33766 |
| user output |
|---|
| 33766 |
Test 6
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 942 |
| correct output |
|---|
| 30490 |
| user output |
|---|
| 30490 |
Test 7
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 736 |
| correct output |
|---|
| 20285 |
| user output |
|---|
| 20285 |
Test 8
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 930 |
| correct output |
|---|
| 29975 |
| user output |
|---|
| 29975 |
Test 9
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 95404 |
| correct output |
|---|
| 90172356 |
| user output |
|---|
| 90172356 |
Test 10
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 98060 |
| correct output |
|---|
| 94687572 |
| user output |
|---|
| 94687572 |
Test 11
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 69495 |
| correct output |
|---|
| 52308390 |
| user output |
|---|
| 52308390 |
Test 12
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 92197 |
| correct output |
|---|
| 85306979 |
| user output |
|---|
| 85306979 |
Test 13
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 53418 |
| correct output |
|---|
| 32957881 |
| user output |
|---|
| 32957881 |
Test 14
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 97377 |
| correct output |
|---|
| 93859995 |
| user output |
|---|
| 93859995 |
Test 15
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 68065 |
| correct output |
|---|
| 50223001 |
| user output |
|---|
| 50223001 |
Test 16
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 95463 |
| correct output |
|---|
| 90201672 |
| user output |
|---|
| 90201672 |
Test 17
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 74323456 |
| correct output |
|---|
| 8975396101231 |
| user output |
|---|
| 8975396101231 |
Test 18
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 92132055 |
| correct output |
|---|
| 13006378374515 |
| user output |
|---|
| 13006378374515 |
Test 19
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 55135704 |
| correct output |
|---|
| 5354656932672 |
| user output |
|---|
| 5354656932672 |
Test 20
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 98613338 |
| correct output |
|---|
| 14631125716007 |
| user output |
|---|
| 14631125716007 |
Test 21
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 75558302 |
| correct output |
|---|
| 9238208186405 |
| user output |
|---|
| 9238208186405 |
Test 22
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 94968034 |
| correct output |
|---|
| 13713914468591 |
| user output |
|---|
| 13713914468591 |
Test 23
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 52163652 |
| correct output |
|---|
| 4858985762438 |
| user output |
|---|
| 4858985762438 |
Test 24
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 94830583 |
| correct output |
|---|
| 13674294022172 |
| user output |
|---|
| 13674294022172 |
