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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#90510#5259. Skills in PillsHoMaMaOvO#AC ✓8ms10528kbC++209.2kb2023-03-23 13:41:482023-03-23 13:41:51

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-23 13:41:51]
  • 评测
  • 测评结果:AC
  • 用时:8ms
  • 内存:10528kb
  • [2023-03-23 13:41:48]
  • 提交

answer

#ifndef LOCAL
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#endif

#include <bits/stdc++.h>
using namespace std;

using ll=long long;
#define int ll

#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif

template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}

template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;

using pi=pair<int,int>;
using vi=vc<int>;

template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.a<<","<<p.b<<"}";
}

template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}

#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ";
	dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif

using uint=unsigned;
using ull=unsigned long long;

template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
	return os<<vc<t>(all(a));
}

template<int i,class T>
void print_tuple(ostream&,const T&){
}

template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
	if(i)os<<",";
	os<<get<i>(t);
	print_tuple<i+1,T,Args...>(os,t);
}

template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
	os<<"{";
	print_tuple<0,tuple<Args...>,Args...>(os,t);
	return os<<"}";
}

ll read(){
	ll i;
	cin>>i;
	return i;
}

vi readvi(int n,int off=0){
	vi v(n);
	rep(i,n)v[i]=read()+off;
	return v;
}

pi readpi(int off=0){
	int a,b;cin>>a>>b;
	return pi(a+off,b+off);
}

template<class t>
void print_single(t x,int suc=1){
	cout<<x;
	if(suc==1)
		cout<<"\n";
	if(suc==2)
		cout<<" ";
}

template<class t,class u>
void print_single(const pair<t,u>&p,int suc=1){
	print_single(p.a,2);
	print_single(p.b,suc);
}

template<class T>
void print_single(const vector<T>&v,int suc=1){
	rep(i,v.size())
		print_single(v[i],i==int(v.size())-1?suc:2);
}

template<class T>
void print_offset(const vector<T>&v,ll off,int suc=1){
	rep(i,v.size())
		print_single(v[i]+off,i==int(v.size())-1?suc:2);
}

template<class T,size_t N>
void print_single(const array<T,N>&v,int suc=1){
	rep(i,N)
		print_single(v[i],i==int(N)-1?suc:2);
}

template<class T>
void print(const T&t){
	print_single(t);
}

template<class T,class ...Args>
void print(const T&t,const Args&...args){
	print_single(t,2);
	print(args...);
}

string readString(){
	string s;
	cin>>s;
	return s;
}

template<class T>
T sq(const T& t){
	return t*t;
}

void YES(bool ex=true){
	cout<<"YES\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void NO(bool ex=true){
	cout<<"NO\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void Yes(bool ex=true){
	cout<<"Yes\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void No(bool ex=true){
	cout<<"No\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
//#define CAPITAL
/*
void yes(bool ex=true){
	#ifdef CAPITAL
	cout<<"YES"<<"\n";
	#else
	cout<<"Yes"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void no(bool ex=true){
	#ifdef CAPITAL
	cout<<"NO"<<"\n";
	#else
	cout<<"No"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}*/
void possible(bool ex=true){
	#ifdef CAPITAL
	cout<<"POSSIBLE"<<"\n";
	#else
	cout<<"Possible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void impossible(bool ex=true){
	#ifdef CAPITAL
	cout<<"IMPOSSIBLE"<<"\n";
	#else
	cout<<"Impossible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}

constexpr ll ten(int n){
	return n==0?1:ten(n-1)*10;
}

const ll infLL=LLONG_MAX/3;

#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif

int topbit(signed t){
	return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
	return t==0?-1:63-__builtin_clzll(t);
}
int topbit(ull t){
	return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
	return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
	return a==0?64:__builtin_ctzll(a);
}
int botbit(ull a){
	return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
	return __builtin_popcount(t);
}
int popcount(ll t){
	return __builtin_popcountll(t);
}
int popcount(ull t){
	return __builtin_popcountll(t);
}
bool ispow2(int i){
	return i&&(i&-i)==i;
}
ll mask(int i){
	return (ll(1)<<i)-1;
}
ull umask(int i){
	return (ull(1)<<i)-1;
}
ll minp2(ll n){
	if(n<=1)return 1;
	else return ll(1)<<(topbit(n-1)+1);
}

bool inc(int a,int b,int c){
	return a<=b&&b<=c;
}

template<class t> void mkuni(vc<t>&v){
	sort(all(v));
	v.erase(unique(all(v)),v.ed);
}

ll rand_int(ll l, ll r) { //[l, r]
	//#ifdef LOCAL
	static mt19937_64 gen;
	/*#else
	static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
	#endif*/
	return uniform_int_distribution<ll>(l, r)(gen);
}

ll rand_int(ll k){ //[0,k)
	return rand_int(0,k-1);
}

template<class t>
void myshuffle(vc<t>&a){
	rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}

template<class t>
int lwb(const vc<t>&v,const t&a){
	return lower_bound(all(v),a)-v.bg;
}
template<class t>
bool bis(const vc<t>&v,const t&a){
	return binary_search(all(v),a);
}

vvc<int> readGraph(int n,int m){
	vvc<int> g(n);
	rep(i,m){
		int a,b;
		cin>>a>>b;
		//sc.read(a,b);
		a--;b--;
		g[a].pb(b);
		g[b].pb(a);
	}
	return g;
}

vvc<int> readTree(int n){
	return readGraph(n,n-1);
}

vc<ll> presum(const vi&a){
	vc<ll> s(si(a)+1);
	rep(i,si(a))s[i+1]=s[i]+a[i];
	return s;
}
//BIT で数列を管理するときに使う (CF850C)
template<class t>
vc<t> predif(vc<t> a){
	gnr(i,1,si(a))a[i]-=a[i-1];
	return a;
}
template<class t>
vvc<ll> imos(const vvc<t>&a){
	int n=si(a),m=si(a[0]);
	vvc<ll> b(n+1,vc<ll>(m+1));
	rep(i,n)rep(j,m)
		b[i+1][j+1]=b[i+1][j]+b[i][j+1]-b[i][j]+a[i][j];
	return b;
}

//verify してないや
void transvvc(int&n,int&m){
	swap(n,m);
}
template<class t,class... Args>
void transvvc(int&n,int&m,vvc<t>&a,Args&...args){
	assert(si(a)==n);
	vvc<t> b(m,vi(n));
	rep(i,n){
		assert(si(a[i])==m);
		rep(j,m)b[j][i]=a[i][j];
	}
	a.swap(b);
	transvvc(n,m,args...);
}
//CF854E
void rotvvc(int&n,int&m){
	swap(n,m);
}
template<class t,class... Args>
void rotvvc(int&n,int&m,vvc<t>&a,Args&...args){
	assert(si(a)==n);
	vvc<t> b(m,vi(n));
	rep(i,n){
		assert(si(a[i])==m);
		rep(j,m)b[m-1-j][i]=a[i][j];
	}
	a.swap(b);
	rotvvc(n,m,args...);
}

//ソートして i 番目が idx[i]
//CF850C
template<class t>
vi sortidx(const vc<t>&a){
	int n=si(a);
	vi idx(n);iota(all(idx),0);
	sort(all(idx),[&](int i,int j){return a[i]<a[j];});
	return idx;
}
//vs[i]=a[idx[i]]
//例えば sortidx で得た idx を使えば単にソート列になって返ってくる
//CF850C
template<class t>
vc<t> a_idx(const vc<t>&a,const vi&idx){
	int n=si(a);
	assert(si(idx)==n);
	vc<t> vs(n);
	rep(i,n)vs[i]=a[idx[i]];
	return vs;
}
//CF850C
vi invperm(const vi&p){
	int n=si(p);
	vi q(n);
	rep(i,n)q[p[i]]=i;
	return q;
}

template<class t,class s=t>
s SUM(const vc<t>&a){
	return accumulate(all(a),s(0));
}

template<class t>
t MAX(const vc<t>&a){
	return *max_element(all(a));
}

template<class t>
t MIN(const vc<t>&a){
	return *min_element(all(a));
}

template<class t,class u>
pair<t,u> operator+(const pair<t,u>&a,const pair<t,u>&b){
	return mp(a.a+b.a,a.b+b.b);
}

vi vid(int n){
	vi res(n);iota(all(res),0);
	return res;
}

template<class t=ll>
t extgcd(t a,t b,t&x,t&y){
	if(b==0){
		x=1;
		y=0;
		return a;
	}else{
		t g=extgcd(b,a%b,y,x);
		y-=a/b*x;
		return g;
	}
}

void slv(){
	int k,j;cin>>k>>j;
	int n;cin>>n;
	int ans=inf;
	int x,y;
	int g=extgcd(k,j,x,y);
	int ini=k*j/g;
	if(ini<=n){
		vi dp(n+1,inf);
		dp[ini]=ini/k+ini/j;
		rng(pos,1,n+1)if(dp[pos]<inf){
			rep(_,2){
				if(g>1){
					chmin(ans,dp[pos]+(n-pos+1)/k+(n-pos)/j);
				}else{
					int p=x,q=y;
					if(p<0){
						p+=j;
						q-=k;
					}
					q=-q;
					assert(p>=1);
					assert(q>=1);
					
					int nx=pos-1+p*k;
					assert(nx==pos+q*j);
					
					if(nx<=n){
						chmin(dp[nx],dp[pos]+p+q);
					}else{
						chmin(ans,dp[pos]+(n-pos+1)/k+(n-pos)/j);
					}
				}
				swap(k,j);
				swap(x,y);
			}
		}
		dmp(dp);
	}else{
		ans=n/k+n/j;
	}
	print(ans);
}

signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	
	//int t;cin>>t;rep(_,t)
	slv();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3452kb

input:

3 9 20

output:

8

result:

ok single line: '8'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

8 2 12

output:

7

result:

ok single line: '7'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

2 5 15

output:

10

result:

ok single line: '10'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3480kb

input:

10 8 13

output:

2

result:

ok single line: '2'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3312kb

input:

6 6 19

output:

6

result:

ok single line: '6'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3360kb

input:

2 3 5

output:

3

result:

ok single line: '3'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3312kb

input:

4 2 8

output:

6

result:

ok single line: '6'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3320kb

input:

5 5 5

output:

2

result:

ok single line: '2'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3368kb

input:

3 8 11

output:

4

result:

ok single line: '4'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3372kb

input:

5 8 16

output:

5

result:

ok single line: '5'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3376kb

input:

9 7 279

output:

70

result:

ok single line: '70'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3372kb

input:

8 3 56

output:

25

result:

ok single line: '25'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3336kb

input:

5 9 46

output:

14

result:

ok single line: '14'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3324kb

input:

8 4 251

output:

93

result:

ok single line: '93'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3476kb

input:

8 7 41

output:

10

result:

ok single line: '10'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3368kb

input:

60 17 360

output:

27

result:

ok single line: '27'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3432kb

input:

16 55 388

output:

31

result:

ok single line: '31'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3376kb

input:

25 38 292

output:

18

result:

ok single line: '18'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3308kb

input:

22 59 177

output:

11

result:

ok single line: '11'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3312kb

input:

4 3 82

output:

50

result:

ok single line: '50'

Test #21:

score: 0
Accepted
time: 5ms
memory: 6932kb

input:

77 18 511543

output:

35070

result:

ok single line: '35070'

Test #22:

score: 0
Accepted
time: 5ms
memory: 10528kb

input:

37 32 987861

output:

57612

result:

ok single line: '57612'

Test #23:

score: 0
Accepted
time: 4ms
memory: 5304kb

input:

29 8 300899

output:

48059

result:

ok single line: '48059'

Test #24:

score: 0
Accepted
time: 0ms
memory: 7256kb

input:

73 83 533839

output:

13745

result:

ok single line: '13745'

Test #25:

score: 0
Accepted
time: 3ms
memory: 4512kb

input:

12 23 181193

output:

23008

result:

ok single line: '23008'

Test #26:

score: 0
Accepted
time: 2ms
memory: 9792kb

input:

2 2 864514

output:

864514

result:

ok single line: '864514'

Test #27:

score: 0
Accepted
time: 3ms
memory: 4332kb

input:

27 7 165249

output:

29765

result:

ok single line: '29765'

Test #28:

score: 0
Accepted
time: 8ms
memory: 8716kb

input:

15 2 751665

output:

429522

result:

ok single line: '429522'

Test #29:

score: 0
Accepted
time: 6ms
memory: 9264kb

input:

2 16 818146

output:

460207

result:

ok single line: '460207'

Test #30:

score: 0
Accepted
time: 1ms
memory: 7940kb

input:

43 88 631366

output:

21860

result:

ok single line: '21860'

Test #31:

score: 0
Accepted
time: 2ms
memory: 3372kb

input:

215 1222 3597

output:

18

result:

ok single line: '18'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3368kb

input:

9619 3375 604892

output:

241

result:

ok single line: '241'

Test #33:

score: 0
Accepted
time: 2ms
memory: 3368kb

input:

861 1924 311511

output:

522

result:

ok single line: '522'

Test #34:

score: 0
Accepted
time: 2ms
memory: 3316kb

input:

9249 3782 866972

output:

322

result:

ok single line: '322'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3372kb

input:

7055 8386 206874

output:

53

result:

ok single line: '53'

Test #36:

score: 0
Accepted
time: 2ms
memory: 3332kb

input:

6273 7732 122377

output:

34

result:

ok single line: '34'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3408kb

input:

8057 7746 89137

output:

22

result:

ok single line: '22'

Test #38:

score: 0
Accepted
time: 2ms
memory: 3316kb

input:

9215 8952 74618

output:

16

result:

ok single line: '16'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3344kb

input:

7246 3709 129579

output:

51

result:

ok single line: '51'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3364kb

input:

4052 6785 831888

output:

327

result:

ok single line: '327'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

9 2 91067

output:

56916

result:

ok single line: '56916'

Test #42:

score: 0
Accepted
time: 4ms
memory: 10056kb

input:

10 3 913595

output:

406041

result:

ok single line: '406041'

Test #43:

score: 0
Accepted
time: 2ms
memory: 4248kb

input:

2 2 152575

output:

152575

result:

ok single line: '152575'

Test #44:

score: 0
Accepted
time: 1ms
memory: 10324kb

input:

2 2 927771

output:

927771

result:

ok single line: '927771'

Test #45:

score: 0
Accepted
time: 0ms
memory: 7988kb

input:

6 7 637014

output:

200204

result:

ok single line: '200204'

Test #46:

score: 0
Accepted
time: 8ms
memory: 8740kb

input:

5 3 721417

output:

400786

result:

ok single line: '400786'

Test #47:

score: 0
Accepted
time: 3ms
memory: 4552kb

input:

5 9 183079

output:

57538

result:

ok single line: '57538'

Test #48:

score: 0
Accepted
time: 4ms
memory: 7420kb

input:

9 2 579290

output:

362055

result:

ok single line: '362055'

Test #49:

score: 0
Accepted
time: 6ms
memory: 7148kb

input:

3 4 546909

output:

341817

result:

ok single line: '341817'

Test #50:

score: 0
Accepted
time: 1ms
memory: 10324kb

input:

2 2 932611

output:

932611

result:

ok single line: '932611'