結果

問題 No.12 限定された素数
ユーザー katandkatand
提出日時 2022-10-05 02:07:35
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 105 ms / 5,000 ms
コード長 13,259 bytes
コンパイル時間 12,512 ms
コンパイル使用メモリ 379,540 KB
実行使用メモリ 41,088 KB
最終ジャッジ日時 2024-06-09 19:44:49
合計ジャッジ時間 16,520 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 102 ms
40,896 KB
testcase_01 AC 102 ms
40,960 KB
testcase_02 AC 100 ms
41,084 KB
testcase_03 AC 99 ms
40,964 KB
testcase_04 AC 102 ms
40,924 KB
testcase_05 AC 103 ms
40,776 KB
testcase_06 AC 101 ms
40,960 KB
testcase_07 AC 98 ms
40,968 KB
testcase_08 AC 105 ms
40,896 KB
testcase_09 AC 99 ms
40,984 KB
testcase_10 AC 100 ms
41,060 KB
testcase_11 AC 98 ms
41,088 KB
testcase_12 AC 98 ms
41,000 KB
testcase_13 AC 101 ms
41,024 KB
testcase_14 AC 101 ms
40,960 KB
testcase_15 AC 101 ms
40,904 KB
testcase_16 AC 102 ms
40,972 KB
testcase_17 AC 98 ms
40,880 KB
testcase_18 AC 99 ms
40,996 KB
testcase_19 AC 98 ms
40,960 KB
testcase_20 AC 97 ms
40,936 KB
testcase_21 AC 104 ms
40,880 KB
testcase_22 AC 101 ms
40,960 KB
testcase_23 AC 98 ms
40,832 KB
testcase_24 AC 98 ms
40,960 KB
testcase_25 AC 102 ms
40,960 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

# [rustfmt :: skip ] pub struct Writer < W : Write > {writer : BufWriter < W > , }
# [rustfmt :: skip ] impl < W : Write > Writer < W > {pub fn new (write : W ) -> Self {Self {writer : BufWriter :: new (write ) , } } pub fn ln < S : Display > (& mut self , s : S ) {writeln ! (self . writer , "{}" , s ) . expect ("Failed to write." ) } pub fn out < S : Display > (& mut self , s : S ) {write ! (self . writer , "{}" , s ) . expect ("Failed to write." ) } pub fn join < S : Display > (& mut self , v : & [S ] , separator : & str ) {v . iter () . fold ("" , | sep , arg | {write ! (self . writer , "{}{}" , sep , arg ) . expect ("Failed to write." ) ; separator } ) ; writeln ! (self . writer ) . expect ("Failed to write." ) ; } pub fn bits (& mut self , i : i64 , len : usize ) {(0 .. len ) . for_each (| b | write ! (self . writer , "{}" , i >> b & 1 ) . expect ("Failed to write." ) ) ; writeln ! (self . writer ) . expect ("Failed to write." ) } pub fn flush (& mut self ) {let _ = self . writer . flush () ; } }
# [rustfmt :: skip ] pub struct Reader < F > {init : F , buf : VecDeque < String > , }
# [rustfmt :: skip ] mod reader_impl {use super :: {BufRead , Reader , VecDeque , FromStr as FS } ; impl < R : BufRead , F : FnMut () -> R > Iterator for Reader < F > {type Item = String ; fn next (& mut self ) -> Option < String > {if self . buf . is_empty () {let mut reader = (self . init ) () ; let mut l = String :: new () ; reader . read_line (& mut l ) . unwrap () ; self . buf . append (& mut l . split_whitespace () . map (ToString :: to_string ) . collect () ) ; } self . buf . pop_front () } } impl < R : BufRead , F : FnMut () -> R > Reader < F > {pub fn new (init : F ) -> Self {let buf = VecDeque :: new () ; Reader {init , buf } } pub fn v < T : FS > (& mut self ) -> T {let s = self . next () . expect ("Insufficient input." ) ; s . parse () . ok () . expect ("Failed to parse." ) } pub fn v2 < T1 : FS , T2 : FS > (& mut self ) -> (T1 , T2 ) {(self . v () , self . v () ) } pub fn v3 < T1 : FS , T2 : FS , T3 : FS > (& mut self ) -> (T1 , T2 , T3 ) {(self . v () , self . v () , self . v () ) } pub fn v4 < T1 : FS , T2 : FS , T3 : FS , T4 : FS > (& mut self ) -> (T1 , T2 , T3 , T4 ) {(self . v () , self . v () , self . v () , self . v () ) } pub fn v5 < T1 : FS , T2 : FS , T3 : FS , T4 : FS , T5 : FS > (& mut self ) -> (T1 , T2 , T3 , T4 , T5 ) {(self . v () , self . v () , self . v () , self . v () , self . v () ) } pub fn vec < T : FS > (& mut self , length : usize ) -> Vec < T > {(0 .. length ) . map (| _ | self . v () ) . collect () } pub fn vec2 < T1 : FS , T2 : FS > (& mut self , length : usize ) -> Vec < (T1 , T2 ) > {(0 .. length ) . map (| _ | self . v2 () ) . collect () } pub fn vec3 < T1 : FS , T2 : FS , T3 : FS > (& mut self , length : usize ) -> Vec < (T1 , T2 , T3 ) > {(0 .. length ) . map (| _ | self . v3 () ) . collect () } pub fn vec4 < T1 : FS , T2 : FS , T3 : FS , T4 : FS > (& mut self , length : usize ) -> Vec < (T1 , T2 , T3 , T4 ) > {(0 .. length ) . map (| _ | self . v4 () ) . collect () } pub fn chars (& mut self ) -> Vec < char > {self . v :: < String > () . chars () . collect () } fn split (& mut self , zero : u8 ) -> Vec < usize > {self . v :: < String > () . chars () . map (| c | (c as u8 - zero ) as usize ) . collect () } pub fn digits (& mut self ) -> Vec < usize > {self . split (b'0' ) } pub fn lowercase (& mut self ) -> Vec < usize > {self . split (b'a' ) } pub fn uppercase (& mut self ) -> Vec < usize > {self . split (b'A' ) } pub fn char_map (& mut self , h : usize ) -> Vec < Vec < char > > {(0 .. h ) . map (| _ | self . chars () ) . collect () } pub fn bool_map (& mut self , h : usize , ng : char ) -> Vec < Vec < bool > > {self . char_map (h ) . iter () . map (| v | v . iter () . map (| & c | c != ng ) . collect () ) . collect () } pub fn matrix < T : FS > (& mut self , h : usize , w : usize ) -> Vec < Vec < T > > {(0 .. h ) . map (| _ | self . vec (w ) ) . collect () } } }
# [rustfmt :: skip ] pub trait ToLR < T > {fn to_lr (& self ) -> (T , T ) ; }
# [rustfmt :: skip ] impl < R : RangeBounds < T > , T : Copy + BoundedAbove + BoundedBelow + One + Add < Output = T > > ToLR < T > for R {fn to_lr (& self ) -> (T , T ) {use Bound :: {Excluded , Included , Unbounded } ; let l = match self . start_bound () {Unbounded => T :: min_value () , Included (& s ) => s , Excluded (& s ) => s + T :: one () , } ; let r = match self . end_bound () {Unbounded => T :: max_value () , Included (& e ) => e + T :: one () , Excluded (& e ) => e , } ; (l , r ) } }
# [rustfmt :: skip ] pub use std :: {cmp :: {max , min , Ordering , Reverse } , collections :: {hash_map :: RandomState , BTreeMap , BTreeSet , BinaryHeap , HashMap , HashSet , VecDeque , } , convert :: Infallible , convert :: {TryFrom , TryInto } , fmt :: {Debug , Display , Formatter } , hash :: Hash , io :: {stdin , stdout , BufRead , BufWriter , Read , Write } , iter :: {repeat , Product , Sum } , marker :: PhantomData , mem :: swap , ops :: {Add , AddAssign , BitAnd , BitAndAssign , BitOr , BitOrAssign , BitXor , BitXorAssign , Bound , Deref , DerefMut , Div , DivAssign , Index , IndexMut , Mul , MulAssign , Neg , Not , Range , RangeBounds , Rem , RemAssign , Shl , ShlAssign , Shr , ShrAssign , Sub , SubAssign , } , str :: {from_utf8 , FromStr } , } ;
#[allow(unused_macros)]
macro_rules ! chmax {($ base : expr , $ ($ cmps : expr ) ,+ $ (, ) * ) => {{let cmp_max = max ! ($ ($ cmps ) ,+ ) ; if $ base < cmp_max {$ base = cmp_max ; true } else {false } } } ; }
#[allow(unused_macros)]
macro_rules ! max {($ a : expr $ (, ) * ) => {{$ a } } ; ($ a : expr , $ b : expr $ (, ) * ) => {{if $ a > $ b {$ a } else {$ b } } } ; ($ a : expr , $ ($ rest : expr ) ,+ $ (, ) * ) => {{let b = max ! ($ ($ rest ) ,+ ) ; if $ a > b {$ a } else {b } } } ; }
#[allow(unused_macros)]
macro_rules ! chmin {($ base : expr , $ ($ cmps : expr ) ,+ $ (, ) * ) => {{let cmp_min = min ! ($ ($ cmps ) ,+ ) ; if $ base > cmp_min {$ base = cmp_min ; true } else {false } } } ; }
#[allow(unused_macros)]
macro_rules ! min {($ a : expr $ (, ) * ) => {{$ a } } ; ($ a : expr , $ b : expr $ (, ) * ) => {{if $ a > $ b {$ b } else {$ a } } } ; ($ a : expr , $ ($ rest : expr ) ,+ $ (, ) * ) => {{let b = min ! ($ ($ rest ) ,+ ) ; if $ a > b {b } else {$ a } } } ; }
#[allow(unused_macros)]
macro_rules ! chmax {($ base : expr , $ ($ cmps : expr ) ,+ $ (, ) * ) => {{let cmp_max = max ! ($ ($ cmps ) ,+ ) ; if $ base < cmp_max {$ base = cmp_max ; true } else {false } } } ; }
#[allow(unused_macros)]
macro_rules ! max {($ a : expr $ (, ) * ) => {{$ a } } ; ($ a : expr , $ b : expr $ (, ) * ) => {{if $ a > $ b {$ a } else {$ b } } } ; ($ a : expr , $ ($ rest : expr ) ,+ $ (, ) * ) => {{let b = max ! ($ ($ rest ) ,+ ) ; if $ a > b {$ a } else {b } } } ; }
#[allow(unused_macros)]
macro_rules ! dbg {($ ($ x : tt ) * ) => {{# [cfg (debug_assertions ) ] {std :: dbg ! ($ ($ x ) * ) } # [cfg (not (debug_assertions ) ) ] {($ ($ x ) * ) } } } }
# [rustfmt :: skip ] pub use algebra_traits :: {AbelianGroup , Associative , Band , BoundedAbove , BoundedBelow , Commutative , CommutativeMonoid , Group , Idempotent , Invertible , Magma , MapMonoid , Monoid , One , Pow , PrimitiveRoot , SemiGroup , Unital , Zero , } ;
# [rustfmt :: skip ] mod algebra_traits {use super :: Debug ; pub trait Magma {type M : Clone + PartialEq + Debug ; fn op (x : & Self :: M , y : & Self :: M ) -> Self :: M ; } pub trait Associative {} pub trait Unital : Magma {fn unit () -> Self :: M ; } pub trait Commutative : Magma {} pub trait Invertible : Magma {fn inv (x : & Self :: M ) -> Self :: M ; } pub trait Idempotent : Magma {} pub trait SemiGroup : Magma + Associative {} pub trait Monoid : Magma + Associative + Unital {fn pow (& self , x : Self :: M , mut n : usize ) -> Self :: M {let mut res = Self :: unit () ; let mut base = x ; while n > 0 {if n & 1 == 1 {res = Self :: op (& res , & base ) ; } base = Self :: op (& base , & base ) ; n >>= 1 ; } res } } pub trait CommutativeMonoid : Magma + Associative + Unital + Commutative {} pub trait Group : Magma + Associative + Unital + Invertible {} pub trait AbelianGroup : Magma + Associative + Unital + Commutative + Invertible {} pub trait Band : Magma + Associative + Idempotent {} impl < M : Magma + Associative > SemiGroup for M {} impl < M : Magma + Associative + Unital > Monoid for M {} impl < M : Magma + Associative + Unital + Commutative > CommutativeMonoid for M {} impl < M : Magma + Associative + Unital + Invertible > Group for M {} impl < M : Magma + Associative + Unital + Commutative + Invertible > AbelianGroup for M {} impl < M : Magma + Associative + Idempotent > Band for M {} pub trait MapMonoid {type Mono : Monoid ; type Func : Monoid ; fn op (& self , x : & < Self :: Mono as Magma > :: M , y : & < Self :: Mono as Magma > :: M , ) -> < Self :: Mono as Magma > :: M {Self :: Mono :: op (x , y ) } fn unit () -> < Self :: Mono as Magma > :: M {Self :: Mono :: unit () } fn apply (& self , f : & < Self :: Func as Magma > :: M , value : & < Self :: Mono as Magma > :: M , ) -> < Self :: Mono as Magma > :: M ; fn identity_map () -> < Self :: Func as Magma > :: M {Self :: Func :: unit () } fn compose (& self , f : & < Self :: Func as Magma > :: M , g : & < Self :: Func as Magma > :: M , ) -> < Self :: Func as Magma > :: M {Self :: Func :: op (f , g ) } } pub trait Zero {fn zero () -> Self ; } pub trait One {fn one () -> Self ; } pub trait BoundedBelow {fn min_value () -> Self ; } pub trait BoundedAbove {fn max_value () -> Self ; } pub trait Pow {fn pow (self , exp : i64 ) -> Self ; } pub trait PrimitiveRoot {fn primitive_root () -> Self ; } }
# [rustfmt :: skip ] pub trait Integral : 'static + Send + Sync + Copy + Ord + Display + Debug + Add < Output = Self > + Sub < Output = Self > + Mul < Output = Self > + Div < Output = Self > + Rem < Output = Self > + AddAssign + SubAssign + MulAssign + DivAssign + RemAssign + Sum + Product + BitOr < Output = Self > + BitAnd < Output = Self > + BitXor < Output = Self > + Not < Output = Self > + Shl < Output = Self > + Shr < Output = Self > + BitOrAssign + BitAndAssign + BitXorAssign + ShlAssign + ShrAssign + Zero + One + BoundedBelow + BoundedAbove {}
macro_rules ! impl_integral {($ ($ ty : ty ) ,* ) => {$ (impl Zero for $ ty {fn zero () -> Self {0 } } impl One for $ ty {fn one () -> Self {1 } } impl BoundedBelow for $ ty {fn min_value () -> Self {Self :: min_value () } } impl BoundedAbove for $ ty {fn max_value () -> Self {Self :: max_value () } } impl Integral for $ ty {} ) * } ; }
impl_integral!(i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, usize);
pub fn main() {
    let stdin = stdin();
    let stdout = stdout();
    solve(Reader::new(|| stdin.lock()), Writer::new(stdout.lock()));
}

pub struct SieveOfEratosthenes {
    m: usize,
    table: Vec<usize>,
}
impl SieveOfEratosthenes {
    pub fn new(m: usize) -> Self {
        let mut table = vec![0; m + 1];
        table.iter_mut().enumerate().skip(2).for_each(|(i, x)| {
            if i % 2 == 0 {
                *x = 2;
            } else if i % 3 == 0 {
                *x = 3;
            }
        });
        if m <= 2 {
            return Self { m, table };
        }
        let mut i = 5;
        let mut f = 4;
        while i <= m {
            if table[i] == 0 {
                table[i] = i;
                for j in i..m / i + 1 {
                    if table[i * j] == 0 {
                        table[i * j] = i;
                    }
                }
            }
            f = 6 - f;
            i += f;
        }
        Self { m, table }
    }
    pub fn primes(&self) -> Vec<usize> {
        let mut ret = Vec::new();
        for i in 2..=self.m {
            if self.table[i] == i {
                ret.push(i);
            }
        }
        ret
    }
    pub fn is_prime(&self, n: usize) -> bool {
        self.table[n] == n
    }
    pub fn prime_factorize(&self, mut n: usize) -> Vec<usize> {
        let mut ret = Vec::new();
        while self.table[n] > 1 {
            ret.push(self.table[n]);
            n /= self.table[n];
        }
        ret
    }
}

pub fn solve<R: BufRead, W: Write, F: FnMut() -> R>(mut reader: Reader<F>, mut writer: Writer<W>) {
    let n: usize = reader.v();
    let a = reader.vec::<usize>(n);
    let mut ab = [false; 10];
    for &ai in &a {
        ab[ai] = true;
    }
    let mut cur = [false; 10];
    let mut ans = -1;
    let mut l = 1;
    let ps = SieveOfEratosthenes::new(5000000);
    let mut b = Vec::new();
    for i in 2..=5000000 {
        if ps.is_prime(i) {
            let mut k = i;
            let mut ng = false;
            b.clear();
            while k > 0 {
                if !ab[k % 10] {
                    ng = true;
                    break;
                }
                b.push(k % 10);
                k /= 10;
            }
            if !ng {
                for bi in &b {
                    cur[*bi] = true;
                }
            } else {
                if cur == ab {
                    chmax!(ans, (i - 1 - l) as i64);
                }
                cur = [false; 10];
                l = i + 1;
            }
        }
    }
    if cur == ab {
        chmax!(ans, (5000000 - l) as i64);
    }
    writer.ln(ans);
}
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