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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#590247 | #4366. Forever Young | zlt | AC ✓ | 4ms | 3952kb | C++14 | 1.7kb | 2024-09-25 22:54:01 | 2024-09-25 22:54:04 |
Judging History
answer
// Problem: P6921 [ICPC2016 WF] Forever Young
// Contest: Luogu
// URL: https://www.luogu.com.cn/problem/P6921
// Memory Limit: 1 MB
// Time Limit: 1000 ms
//
// Powered by CP Editor (https://cpeditor.org)
#include <bits/stdc++.h>
#define pb emplace_back
#define fst first
#define scd second
#define mkp make_pair
#define mems(a, x) memset((a), (x), sizeof(a))
using namespace std;
typedef long long ll;
typedef __int128 lll;
typedef double db;
typedef unsigned long long ull;
typedef long double ldb;
typedef pair<ll, ll> pii;
ll n;
char s[99];
inline ll calc(ll x) {
lll y = 0;
for (int i = 0; s[i]; ++i) {
y = y * x + s[i] - '0';
if (y > n) {
return n + 1;
}
}
return y;
}
inline bool check(ll x) {
ll t = n;
while (t) {
if (t % x > 9) {
return 0;
}
t /= x;
}
return 1;
}
void solve() {
scanf("%lld%s", &n, s);
ll l = 10, r = 1e18, pos = -1;
while (l <= r) {
ll mid = (l + r) >> 1;
if (calc(mid) <= n) {
pos = mid;
l = mid + 1;
} else {
r = mid - 1;
}
}
ll ans = 0;
for (ll i = min(pos, 1000000LL); i >= 10; --i) {
if (check(i)) {
ans = i;
break;
}
}
for (int i = 10; i <= 999; ++i) {
int x = i, m = 0;
while (x) {
s[m++] = '0' + x % 10;
x /= 10;
}
reverse(s, s + m);
s[m] = '\0';
ll l = 10, r = pos, p = -1;
while (l <= r) {
ll mid = (l + r) >> 1;
if (calc(mid) <= n) {
p = mid;
l = mid + 1;
} else {
r = mid - 1;
}
}
if (p != -1 && calc(p) == n) {
ans = max(ans, p);
break;
}
}
printf("%lld\n", ans);
}
int main() {
int T = 1;
// scanf("%d", &T);
while (T--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3868kb
input:
32 20
output:
16
result:
ok single line: '16'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
2016 100
output:
42
result:
ok single line: '42'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
1000000000000000000 10
output:
1000000000000000000
result:
ok single line: '1000000000000000000'
Test #4:
score: 0
Accepted
time: 3ms
memory: 3800kb
input:
149239876439186 470
output:
11
result:
ok single line: '11'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
4851495 95
output:
539054
result:
ok single line: '539054'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
19839853985 19839853985
output:
10
result:
ok single line: '10'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
1000000000000000000 17
output:
999999999999999993
result:
ok single line: '999999999999999993'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
1000000000000000000 23
output:
499999999999999998
result:
ok single line: '499999999999999998'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
1000000000000000000 58
output:
166666666666666666
result:
ok single line: '166666666666666666'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
1000000000000000000 145
output:
999999997
result:
ok single line: '999999997'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
1000000000000000000 230
output:
500000000
result:
ok single line: '500000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
1000000000000000000 1050
output:
999999
result:
ok single line: '999999'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3764kb
input:
1000000000000000000 9593
output:
1000
result:
ok single line: '1000'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
1000000000000000000 1000000000000000000
output:
10
result:
ok single line: '10'
Test #15:
score: 0
Accepted
time: 3ms
memory: 3852kb
input:
981759819857981583 10
output:
981759819857981583
result:
ok single line: '981759819857981583'
Test #16:
score: 0
Accepted
time: 3ms
memory: 3804kb
input:
981759819857981583 17
output:
981759819857981576
result:
ok single line: '981759819857981576'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
981759819857981583 23
output:
490879909928990790
result:
ok single line: '490879909928990790'
Test #18:
score: 0
Accepted
time: 3ms
memory: 3764kb
input:
981759819857981583 58
output:
196351963971596315
result:
ok single line: '196351963971596315'
Test #19:
score: 0
Accepted
time: 3ms
memory: 3876kb
input:
981759819857981583 140
output:
10
result:
ok single line: '10'
Test #20:
score: 0
Accepted
time: 4ms
memory: 3736kb
input:
981759819857981583 230
output:
10
result:
ok single line: '10'
Test #21:
score: 0
Accepted
time: 3ms
memory: 3848kb
input:
981759819857981583 1050
output:
10
result:
ok single line: '10'
Test #22:
score: 0
Accepted
time: 2ms
memory: 3860kb
input:
981759819857981583 9593
output:
10
result:
ok single line: '10'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
981759819857981583 74292
output:
10
result:
ok single line: '10'
Test #24:
score: 0
Accepted
time: 3ms
memory: 3940kb
input:
140986742987698176 10
output:
140986742987698176
result:
ok single line: '140986742987698176'
Test #25:
score: 0
Accepted
time: 4ms
memory: 3760kb
input:
158918593147583853 849
output:
10
result:
ok single line: '10'
Test #26:
score: 0
Accepted
time: 3ms
memory: 3796kb
input:
206808958398095782 82
output:
25851119799761972
result:
ok single line: '25851119799761972'
Test #27:
score: 0
Accepted
time: 3ms
memory: 3764kb
input:
675097804382958295 123
output:
12
result:
ok single line: '12'
Test #28:
score: 0
Accepted
time: 3ms
memory: 3936kb
input:
782891909194182377 95
output:
86987989910464708
result:
ok single line: '86987989910464708'
Test #29:
score: 0
Accepted
time: 4ms
memory: 3944kb
input:
782891909194182377 96
output:
25012
result:
ok single line: '25012'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3948kb
input:
782891909194182377 30000
output:
11
result:
ok single line: '11'
Test #31:
score: 0
Accepted
time: 3ms
memory: 3804kb
input:
988246947114416919 93
output:
109805216346046324
result:
ok single line: '109805216346046324'
Test #32:
score: 0
Accepted
time: 4ms
memory: 3848kb
input:
988246947114416919 95
output:
26512
result:
ok single line: '26512'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
988246947114416919 29000
output:
10
result:
ok single line: '10'
Test #34:
score: 0
Accepted
time: 3ms
memory: 3800kb
input:
9000630015000129 100
output:
100002
result:
ok single line: '100002'
Test #35:
score: 0
Accepted
time: 3ms
memory: 3944kb
input:
999996640752785561 100
output:
31622
result:
ok single line: '31622'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
10 10
output:
10
result:
ok single line: '10'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
11 10
output:
11
result:
ok single line: '11'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
19 13
output:
16
result:
ok single line: '16'
Test #39:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
949986743716085769 100
output:
983040
result:
ok single line: '983040'
Test #40:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
801548868891525129 100
output:
737280
result:
ok single line: '737280'
Test #41:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
926093549141544969 100
output:
675841
result:
ok single line: '675841'
Test #42:
score: 0
Accepted
time: 2ms
memory: 3876kb
input:
949980220730081289 100
output:
491520
result:
ok single line: '491520'
Test #43:
score: 0
Accepted
time: 2ms
memory: 3864kb
input:
618476800577126409 100
output:
409600
result:
ok single line: '409600'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
890865346255534089 100
output:
30720
result:
ok single line: '30720'
Test #45:
score: 0
Accepted
time: 4ms
memory: 3800kb
input:
859144460042470409 99
output:
25600
result:
ok single line: '25600'
Test #46:
score: 0
Accepted
time: 3ms
memory: 3808kb
input:
845488492963637769 100
output:
23040
result:
ok single line: '23040'
Test #47:
score: 0
Accepted
time: 4ms
memory: 3852kb
input:
896892642854698249 92
output:
21760
result:
ok single line: '21760'
Test #48:
score: 0
Accepted
time: 3ms
memory: 3768kb
input:
994907428831831689 100
output:
21120
result:
ok single line: '21120'
Test #49:
score: 0
Accepted
time: 4ms
memory: 3852kb
input:
836899046557320969 100
output:
3840
result:
ok single line: '3840'
Test #50:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
949986743716085769 99
output:
105554082635120640
result:
ok single line: '105554082635120640'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
801548868891525129 99
output:
89060985432391680
result:
ok single line: '89060985432391680'
Test #52:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
926093549141544969 99
output:
102899283237949440
result:
ok single line: '102899283237949440'
Test #53:
score: 0
Accepted
time: 2ms
memory: 3764kb
input:
949980220730081289 99
output:
105553357858897920
result:
ok single line: '105553357858897920'
Test #54:
score: 0
Accepted
time: 2ms
memory: 3856kb
input:
618476800577126409 99
output:
68719644508569600
result:
ok single line: '68719644508569600'
Test #55:
score: 0
Accepted
time: 3ms
memory: 3852kb
input:
890865346255534089 99
output:
98985038472837120
result:
ok single line: '98985038472837120'
Test #56:
score: 0
Accepted
time: 3ms
memory: 3776kb
input:
859144460042470409 98
output:
95460495560274489
result:
ok single line: '95460495560274489'
Test #57:
score: 0
Accepted
time: 3ms
memory: 3856kb
input:
845488492963637769 99
output:
93943165884848640
result:
ok single line: '93943165884848640'
Test #58:
score: 0
Accepted
time: 3ms
memory: 3852kb
input:
896892642854698249 91
output:
99654738094966472
result:
ok single line: '99654738094966472'
Test #59:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
994907428831831689 99
output:
110545269870203520
result:
ok single line: '110545269870203520'
Test #60:
score: 0
Accepted
time: 3ms
memory: 3848kb
input:
836899046557320969 99
output:
92988782950813440
result:
ok single line: '92988782950813440'