結果
問題 | No.1494 LCS on Tree |
ユーザー |
![]() |
提出日時 | 2021-04-30 22:23:14 |
言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 24,155 bytes |
コンパイル時間 | 13,501 ms |
コンパイル使用メモリ | 297,512 KB |
最終ジャッジ日時 | 2025-01-21 03:26:13 |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 14 TLE * 33 |
ソースコード
#line 2 "cpplib/util/template.hpp"#pragma GCC optimize("Ofast")#pragma GCC optimize("unroll-loops")#pragma GCC target("avx2")#include<bits/stdc++.h>using namespace std;struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;typedef long long lint;#define INF (1LL<<60)#define IINF (1<<30)//#define EPS (1e-10)#define endl ('\n')typedef vector<lint> vec;typedef vector<vector<lint>> mat;typedef vector<vector<vector<lint>>> mat3;typedef vector<string> svec;typedef vector<vector<string>> smat;template<typename T>using V=vector<T>;template<typename T>using VV=V<V<T>>;template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}template<typename T>inline void output2(T t){for(auto i:t)output(i);}template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}template<typename T>inline void debug2(T t){for(auto i:t)debug(i);}#define loop(n) for(long long _=0;_<(long long)(n);++_)#define _overload4(_1,_2,_3,_4,name,...) name#define __rep(i,a) repi(i,0,a,1)#define _rep(i,a,b) repi(i,a,b,1)#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)#define _overload3_rev(_1,_2,_3,name,...) name#define _rep_rev(i,a) repi_rev(i,0,a)#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)// #define rep(i,...) for(auto i:range(__VA_ARGS__))// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)// #define irep(i) for(lint i=0;;++i)// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}#define all(n) begin(n),end(n)template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}const vector<lint> dx={1,0,-1,0,1,1,-1,-1};const vector<lint> dy={0,1,0,-1,1,-1,1,-1};#define SUM(v) accumulate(all(v),0LL)template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else returnvector(arg,make_vector<T>(x,args...));}#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))#define bit(n,a) ((n>>a)&1)vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}using graph=vector<vector<int>>;template<typename T>using graph_w=vector<vector<pair<int,T>>>;template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}#line 2 "cpplib/math/ACL_modint1000000007.hpp"#include <utility>#ifdef _MSC_VER#include <intrin.h>#endifnamespace atcoder {namespace internal {// @param m `1 <= m`// @return x mod mconstexpr long long safe_mod(long long x, long long m) {x %= m;if (x < 0) x += m;return x;}// Fast modular multiplication by barrett reduction// Reference: https://en.wikipedia.org/wiki/Barrett_reduction// NOTE: reconsider after Ice Lakestruct barrett {unsigned int _m;unsigned long long im;// @param m `1 <= m < 2^31`barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}// @return munsigned int umod() const { return _m; }// @param a `0 <= a < m`// @param b `0 <= b < m`// @return `a * b % m`unsigned int mul(unsigned int a, unsigned int b) const {// [1] m = 1// a = b = im = 0, so okay// [2] m >= 2// im = ceil(2^64 / m)// -> im * m = 2^64 + r (0 <= r < m)// let z = a*b = c*m + d (0 <= c, d < m)// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) < 2^64 * 2// ((ab * im) >> 64) == c or c + 1unsigned long long z = a;z *= b;#ifdef _MSC_VERunsigned long long x;_umul128(z, im, &x);#elseunsigned long long x =(unsigned long long)(((unsigned __int128)(z)*im) >> 64);#endifunsigned int v = (unsigned int)(z - x * _m);if (_m <= v) v += _m;return v;}};// @param n `0 <= n`// @param m `1 <= m`// @return `(x ** n) % m`constexpr long long pow_mod_constexpr(long long x, long long n, int m) {if (m == 1) return 0;unsigned int _m = (unsigned int)(m);unsigned long long r = 1;unsigned long long y = safe_mod(x, m);while (n) {if (n & 1) r = (r * y) % _m;y = (y * y) % _m;n >>= 1;}return r;}// Reference:// M. Forisek and J. Jancina,// Fast Primality Testing for Integers That Fit into a Machine Word// @param n `0 <= n`constexpr bool is_prime_constexpr(int n) {if (n <= 1) return false;if (n == 2 || n == 7 || n == 61) return true;if (n % 2 == 0) return false;long long d = n - 1;while (d % 2 == 0) d /= 2;constexpr long long bases[3] = {2, 7, 61};for (long long a : bases) {long long t = d;long long y = pow_mod_constexpr(a, t, n);while (t != n - 1 && y != 1 && y != n - 1) {y = y * y % n;t <<= 1;}if (y != n - 1 && t % 2 == 0) {return false;}}return true;}template <int n> constexpr bool is_prime = is_prime_constexpr(n);// @param b `1 <= b`// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/gconstexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {a = safe_mod(a, b);if (a == 0) return {b, 0};// Contracts:// [1] s - m0 * a = 0 (mod b)// [2] t - m1 * a = 0 (mod b)// [3] s * |m1| + t * |m0| <= blong long s = b, t = a;long long m0 = 0, m1 = 1;while (t) {long long u = s / t;s -= t * u;m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b// [3]:// (s - t * u) * |m1| + t * |m0 - m1 * u|// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)// = s * |m1| + t * |m0| <= bauto tmp = s;s = t;t = tmp;tmp = m0;m0 = m1;m1 = tmp;}// by [3]: |m0| <= b/g// by g != b: |m0| < b/gif (m0 < 0) m0 += b / s;return {s, m0};}// Compile time primitive root// @param m must be prime// @return primitive root (and minimum in now)constexpr int primitive_root_constexpr(int m) {if (m == 2) return 1;if (m == 167772161) return 3;if (m == 469762049) return 3;if (m == 754974721) return 11;if (m == 998244353) return 3;int divs[20] = {};divs[0] = 2;int cnt = 1;int x = (m - 1) / 2;while (x % 2 == 0) x /= 2;for (int i = 3; (long long)(i)*i <= x; i += 2) {if (x % i == 0) {divs[cnt++] = i;while (x % i == 0) {x /= i;}}}if (x > 1) {divs[cnt++] = x;}for (int g = 2;; g++) {bool ok = true;for (int i = 0; i < cnt; i++) {if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {ok = false;break;}}if (ok) return g;}}template <int m> constexpr int primitive_root = primitive_root_constexpr(m);} // namespace internal} // namespace atcoder#include <cassert>#include <numeric>#include <type_traits>namespace atcoder {namespace internal {#ifndef _MSC_VERtemplate <class T>using is_signed_int128 =typename std::conditional<std::is_same<T, __int128_t>::value ||std::is_same<T, __int128>::value,std::true_type,std::false_type>::type;template <class T>using is_unsigned_int128 =typename std::conditional<std::is_same<T, __uint128_t>::value ||std::is_same<T, unsigned __int128>::value,std::true_type,std::false_type>::type;template <class T>using make_unsigned_int128 =typename std::conditional<std::is_same<T, __int128_t>::value,__uint128_t,unsigned __int128>;template <class T>using is_integral = typename std::conditional<std::is_integral<T>::value ||is_signed_int128<T>::value ||is_unsigned_int128<T>::value,std::true_type,std::false_type>::type;template <class T>using is_signed_int = typename std::conditional<(is_integral<T>::value &&std::is_signed<T>::value) ||is_signed_int128<T>::value,std::true_type,std::false_type>::type;template <class T>using is_unsigned_int =typename std::conditional<(is_integral<T>::value &&std::is_unsigned<T>::value) ||is_unsigned_int128<T>::value,std::true_type,std::false_type>::type;template <class T>using to_unsigned = typename std::conditional<is_signed_int128<T>::value,make_unsigned_int128<T>,typename std::conditional<std::is_signed<T>::value,std::make_unsigned<T>,std::common_type<T>>::type>::type;#elsetemplate <class T> using is_integral = typename std::is_integral<T>;template <class T>using is_signed_int =typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,std::true_type,std::false_type>::type;template <class T>using is_unsigned_int =typename std::conditional<is_integral<T>::value &&std::is_unsigned<T>::value,std::true_type,std::false_type>::type;template <class T>using to_unsigned = typename std::conditional<is_signed_int<T>::value,std::make_unsigned<T>,std::common_type<T>>::type;#endiftemplate <class T>using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;template <class T>using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;template <class T> using to_unsigned_t = typename to_unsigned<T>::type;} // namespace internal} // namespace atcoder#include <cassert>#include <numeric>#include <type_traits>#ifdef _MSC_VER#include <intrin.h>#endifnamespace atcoder {namespace internal {struct modint_base {};struct static_modint_base : modint_base {};template <class T> using is_modint = std::is_base_of<modint_base, T>;template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;} // namespace internaltemplate <int m, std::enable_if_t<(1 <= m)>* = nullptr>struct static_modint : internal::static_modint_base {using mint = static_modint;public:static constexpr int mod() { return m; }static mint raw(int v) {mint x;x._v = v;return x;}static_modint() : _v(0) {}template <class T, internal::is_signed_int_t<T>* = nullptr>static_modint(T v) {long long x = (long long)(v % (long long)(umod()));if (x < 0) x += umod();_v = (unsigned int)(x);}template <class T, internal::is_unsigned_int_t<T>* = nullptr>static_modint(T v) {_v = (unsigned int)(v % umod());}static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }unsigned int val() const { return _v; }mint& operator++() {_v++;if (_v == umod()) _v = 0;return *this;}mint& operator--() {if (_v == 0) _v = umod();_v--;return *this;}mint operator++(int) {mint result = *this;++*this;return result;}mint operator--(int) {mint result = *this;--*this;return result;}mint& operator+=(const mint& rhs) {_v += rhs._v;if (_v >= umod()) _v -= umod();return *this;}mint& operator-=(const mint& rhs) {_v -= rhs._v;if (_v >= umod()) _v += umod();return *this;}mint& operator*=(const mint& rhs) {unsigned long long z = _v;z *= rhs._v;_v = (unsigned int)(z % umod());return *this;}mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }mint operator+() const { return *this; }mint operator-() const { return mint() - *this; }mint pow(long long n) const {assert(0 <= n);mint x = *this, r = 1;while (n) {if (n & 1) r *= x;x *= x;n >>= 1;}return r;}mint inv() const {if (prime) {assert(_v);return pow(umod() - 2);} else {auto eg = internal::inv_gcd(_v, m);assert(eg.first == 1);return eg.second;}}friend mint operator+(const mint& lhs, const mint& rhs) {return mint(lhs) += rhs;}friend mint operator-(const mint& lhs, const mint& rhs) {return mint(lhs) -= rhs;}friend mint operator*(const mint& lhs, const mint& rhs) {return mint(lhs) *= rhs;}friend mint operator/(const mint& lhs, const mint& rhs) {return mint(lhs) /= rhs;}friend bool operator==(const mint& lhs, const mint& rhs) {return lhs._v == rhs._v;}friend bool operator!=(const mint& lhs, const mint& rhs) {return lhs._v != rhs._v;}private:unsigned int _v;static constexpr unsigned int umod() { return m; }static constexpr bool prime = internal::is_prime<m>;};template <int id> struct dynamic_modint : internal::modint_base {using mint = dynamic_modint;public:static int mod() { return (int)(bt.umod()); }static void set_mod(int m) {assert(1 <= m);bt = internal::barrett(m);}static mint raw(int v) {mint x;x._v = v;return x;}dynamic_modint() : _v(0) {}template <class T, internal::is_signed_int_t<T>* = nullptr>dynamic_modint(T v) {long long x = (long long)(v % (long long)(mod()));if (x < 0) x += mod();_v = (unsigned int)(x);}template <class T, internal::is_unsigned_int_t<T>* = nullptr>dynamic_modint(T v) {_v = (unsigned int)(v % mod());}dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }unsigned int val() const { return _v; }mint& operator++() {_v++;if (_v == umod()) _v = 0;return *this;}mint& operator--() {if (_v == 0) _v = umod();_v--;return *this;}mint operator++(int) {mint result = *this;++*this;return result;}mint operator--(int) {mint result = *this;--*this;return result;}mint& operator+=(const mint& rhs) {_v += rhs._v;if (_v >= umod()) _v -= umod();return *this;}mint& operator-=(const mint& rhs) {_v += mod() - rhs._v;if (_v >= umod()) _v -= umod();return *this;}mint& operator*=(const mint& rhs) {_v = bt.mul(_v, rhs._v);return *this;}mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }mint operator+() const { return *this; }mint operator-() const { return mint() - *this; }mint pow(long long n) const {assert(0 <= n);mint x = *this, r = 1;while (n) {if (n & 1) r *= x;x *= x;n >>= 1;}return r;}mint inv() const {auto eg = internal::inv_gcd(_v, mod());assert(eg.first == 1);return eg.second;}friend mint operator+(const mint& lhs, const mint& rhs) {return mint(lhs) += rhs;}friend mint operator-(const mint& lhs, const mint& rhs) {return mint(lhs) -= rhs;}friend mint operator*(const mint& lhs, const mint& rhs) {return mint(lhs) *= rhs;}friend mint operator/(const mint& lhs, const mint& rhs) {return mint(lhs) /= rhs;}friend bool operator==(const mint& lhs, const mint& rhs) {return lhs._v == rhs._v;}friend bool operator!=(const mint& lhs, const mint& rhs) {return lhs._v != rhs._v;}private:unsigned int _v;static internal::barrett bt;static unsigned int umod() { return bt.umod(); }};template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;using modint998244353 = static_modint<998244353>;using modint1000000007 = static_modint<1000000007>;using modint = dynamic_modint<-1>;namespace internal {template <class T>using is_static_modint = std::is_base_of<internal::static_modint_base, T>;template <class T>using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;template <class> struct is_dynamic_modint : public std::false_type {};template <int id>struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};template <class T>using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;} // namespace internal} // namespace atcoderusing mint=atcoder::modint1000000007;#line 4 "cpplib/math/ACL_modint_base.hpp"std::ostream& operator<<(std::ostream& lhs, const mint& rhs) noexcept {lhs << rhs.val();return lhs;}std::istream& operator>>(std::istream& lhs,mint& rhs) noexcept {long long x;lhs >> x;rhs=x;return lhs;}static int MOD_NOW=-1;static int sz=0;static std::vector<mint>fact_table,fact_inv_table;void update(int x){if(MOD_NOW!=mint::mod()||sz==0){fact_table.assign(1,1);fact_inv_table.assign(1,1);sz=1;}while(sz<=x){fact_table.resize(sz*2);fact_inv_table.resize(sz*2);for(int i=sz;i<sz*2;++i){fact_table[i]=fact_table[i-1]*i;}fact_inv_table[sz*2-1]=fact_table[sz*2-1].inv();for(int i=sz*2-2;i>=sz;--i){fact_inv_table[i]=fact_inv_table[i+1]*(i+1);}sz*=2;}}inline mint fact(int x){assert(x>=0);update(x);return fact_table[x];}inline mint fact_inv(int x){assert(x>=0);update(x);return fact_inv_table[x];}inline mint comb(int x,int y){if(x<0||x<y||y<0)return 0;return fact(x)*fact_inv(y)*fact_inv(x-y);}inline mint perm(int x,int y){return fact(x)*fact_inv(y);}inline mint multi_comb(int x,int y){return comb(x+y-1,y);}#line 3 "cpplib/alga/maybe.hpp"/*** @brief Maybe* @see https://ja.wikipedia.org/wiki/%E3%83%A2%E3%83%8A%E3%83%89_(%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%9F%E3%83%B3%E3%82%B0)#Maybe%E3%83%A2%E3%83%8A%E3%83%89*/template<typename T>struct maybe{bool _is_none;T val;maybe():_is_none(true){}maybe(T val):_is_none(false),val(val){}T unwrap()const{assert(!_is_none);return val;}T unwrap_or(T e)const{return _is_none?e:val;}bool is_none()const{return _is_none;}bool is_some()const{return !_is_none;}};template<typename T,typename F>auto expand(F op){return [&op](const maybe<T>& s,const maybe<T>& t){if(s.is_none())return t;if(t.is_none())return s;return maybe<T>(op(s.unwrap(),t.unwrap()));};}#line 4 "cpplib/segment_tree/segment_tree.hpp"/*** @brief セグメント木* @see https://en.wikipedia.org/wiki/Segment_tree*/template<typename T,typename F>class segment_tree{using i64=long long;struct node;using np=node*;struct node{maybe<T>val=maybe<T>();np ch[2]={nullptr,nullptr};node(){}};np root=new node();i64 n=1;i64 sz;F op;public:segment_tree(){}segment_tree(i64 sz,F op=F()):sz(sz),op(op){while(n<=sz)n<<=1;}maybe<T> get(i64 a,i64 b){return get(a,b,0,n,root);}void apply(i64 x,T val){apply(x,val,0,n,root);}void apply_left(i64 x,T val){apply_left(x,val,0,n,root);}void change(i64 x,T val){change(x,val,0,n,root);}maybe<T> get(i64 a,i64 b,i64 l,i64 r,np t){if(!t)return maybe<T>();auto f=expand<T,F>(op);if(r<=a||b<=l)return maybe<T>();if(a<=l&&r<=b)return t->val;i64 m=(l+r)/2;return f(get(a,b,l,m,t->ch[0]),get(a,b,m,r,t->ch[1]));}void apply(i64 x,T val,i64 l,i64 r,np t){auto f=expand<T,F>(op);if(!t->ch[0])t->ch[0]=new node();if(!t->ch[1])t->ch[1]=new node();if(l<=x&&x<r){t->val=f(t->val,val);i64 m=(l+r)/2;if(r-l>1){apply(x,val,l,m,t->ch[0]);apply(x,val,m,r,t->ch[1]);}}}void apply_left(i64 x,T val,i64 l,i64 r,np t){if(!t->ch[0])t->ch[0]=new node();if(!t->ch[1])t->ch[1]=new node();auto f=expand<T,F>(op);if(l<=x&&x<r){t->val=f(val,t->val);i64 m=(l+r)/2;if(r-l>1){apply_left(x,val,l,m,t->ch[0]);apply_left(x,val,m,r,t->ch[1]);}}}maybe<T> change(i64 x,T val,i64 l,i64 r,np t){if(!t->ch[0])t->ch[0]=new node();if(!t->ch[1])t->ch[1]=new node();auto f=expand<T,F>(op);if(l<=x&&x<r){if(r-l>1){i64 m=(l+r)/2;return t->val=f(change(x,val,l,m,t->ch[0]),change(x,val,m,r,t->ch[1]));}else{return t->val=f(t->val,val);}}}};#line 4 "code.cpp"int main(){lint n;cin>>n;string s;cin>>s;vector<vector<pair<lint,char>>>v(n);rep(i,n-1){lint s,t;cin>>s>>t;char c;cin>>c;s--;t--;v[s].emplace_back(t,c);v[t].emplace_back(s,c);}lint m=s.size();auto dfs=[&](auto dfs,lint now,lint p)->vec{vec res(m+1);for(auto [to,c]:v[now]){if(p==to)continue;auto dp=dfs(dfs,to,now);rep(i,m+1){chmax(res[i],dp[i]);if(i)chmax(res[i],res[i-1]);if(i&&s[i-1]==c)chmax(res[i],dp[i-1]+1);}}return res;};lint ans=0;rep(i,n){chmax(ans,dfs(dfs,i,-1).back());}cout<<ans<<endl;}