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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#346279 | #7954. Special Numbers | juancs | WA | 113ms | 7572kb | C++20 | 4.1kb | 2024-03-08 08:51:36 | 2024-03-08 08:51:37 |
Judging History
answer
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define el '\n'
#define pb push_back
#define forn(i, n) for(int i = 0; i < (int)n; ++i)
#define for1(i, n) for(int i = 1; i <= (int)n; ++i)
#define fore(i,l,r ) for(int i = l; i<= r; ++i)
#define ford(i, n) for(int i = (int)n - 1; i >= 0; --i)
#define sz(a) (int) a.size()
#define fi first
#define se second
#define d(x) cerr << #x << ' ' << x << el
#define all(x) x.begin(), x.end()
using namespace std;
using namespace __gnu_pbds;
typedef pair<int, int> ii;
typedef long long ll;
typedef vector<int> vi;
typedef __int128_t i128;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef array<ll, 7> a7;
const int mod = 1e9 + 7;
struct mint{
ll x;
mint(): x(0){}
mint(int x): x(x){}
mint operator+(mint b){
int ans = x + b.x;
if(ans >= mod)ans -= mod;
return mint(ans);
}
mint operator-(mint b){
int ans = x - b.x;
if(ans < 0)ans += mod;
return mint(ans);
}
mint operator*(mint b){
return 1LL*x*b.x%mod;
}
};
ll cnts[4];
ll trans[10][4];
map<a7, mint> dp;
string l, r, cr;
mint go(a7 st){
if(st[0] == sz(cr)){
if(st[2] == 1)return 0;
forn(i, 4){
if(st[i + 3] != cnts[i])return 0;
}
return 1;
}
if(dp.count(st))return dp[st];
mint& ans = dp[st];
ans = 0;
ll e = !st[1] ? 9 : cr[st[0]] - '0';
if(st[2]){
a7 cur = st;
++cur[0];
cur[1] = false;
ans = ans + go(cur);
}
forn(i, e + 1){
if(i == 0 && st[2]){
continue;
}
a7 cur = st;
++cur[0];
cur[1] = st[1] && i == e;
cur[2] = false;
forn(j, 4){
cur[j + 3] += trans[i][j];
cur[j + 3] = min(cur[j + 3], cnts[j]);
}
ans = ans + go(cur);
}
return ans;
}
mint binpow(mint b, ll e){
mint ans = 1;
for(; e; b = b * b, e /= 2){
if(e&1)ans = ans * b;
}
return ans;
}
mint inv(mint x){
return binpow(x, mod - 2);
}
mint cnt(){
mint ans = 0;
mint iten = inv(10);
mint inine = inv(9);
forn(i, sz(cr)){
mint pt = binpow(10, sz(cr) - i - 1);
mint pn = binpow(9, sz(cr) - i - 1);
if(i != 0){
ans = ans + (mint(9)*(pt - pn));
pt = pt * iten;
pn = pn * inine;
continue;
}
fore(j, i, sz(cr) - 1){
if(cr[j] == '0'){
if(cr[i] == '0')break;
mint num = 0;
fore(k, j + 1, sz(cr) - 1){
num = num + (pt*mint(cr[k] - '0'));
pt = pt * iten;
}
ans = ans + num + 1;
break;
}
mint dj = cr[j] - '1';
ans = ans + (dj*(pt - pn));
pt = pt * iten;
pn = pn * inine;
}
}
return ans;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(NULL);
ll k;
cin >> k >> l >> r;
vector<ll> primes = {2, 3, 5, 7};
ll tk = k;
forn(i, 4){
ll& p = primes[i];
while(tk % p == 0){
++cnts[i];
tk /=p;
}
}
if(tk != 1){
cout << 0 << el;
return 0;
}
forn(i, 4){
trans[0][i] = cnts[i];
}
for1(i, 9){
int ti = i;
forn(j, 4){
ll& p = primes[j];
while(ti % p == 0){
trans[i][j]++;
ti /= p;
}
}
}
cr = r;
a7 st = {0, 1, 1, 0, 0, 0, 0};
mint rans = go(st);
// mint rz = cnt();
dp.clear();
cr = l;
mint lans = go(st);
// mint lz = cnt();
ll cl = 1;
ford(i, sz(l)){
char& c = l[i];
cl *= (c - '0');
}
// d((rans - lans).x);
// d((rz - (lz - mint(cl % k == 0))).x);
mint ans = rans - ((lans) - mint(cl % k == 0));
cout << ans.x << el;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3600kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3860kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 4ms
memory: 3668kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3796kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 71ms
memory: 6332kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 113ms
memory: 7572kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 39ms
memory: 4980kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 49ms
memory: 5396kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 55ms
memory: 5908kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 30ms
memory: 4884kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 21ms
memory: 4480kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 73ms
memory: 6188kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 29ms
memory: 4592kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 28ms
memory: 4876kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 16ms
memory: 4448kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 12ms
memory: 4156kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 4ms
memory: 3840kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3732kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 19ms
memory: 4344kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 18ms
memory: 4384kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 4ms
memory: 3780kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 36ms
memory: 4936kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 93ms
memory: 7120kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 28ms
memory: 5140kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 7ms
memory: 3872kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 90ms
memory: 7212kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 24ms
memory: 4596kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 52ms
memory: 5524kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 42ms
memory: 5296kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 60ms
memory: 5860kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 60ms
memory: 5820kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: -100
Wrong Answer
time: 0ms
memory: 3488kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
0
result:
wrong answer 1st lines differ - expected: '922087167', found: '0'