結果

問題 No.1502 Many Simple Additions
ユーザー maroon_kuri
提出日時 2021-05-07 21:52:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 164 ms / 2,000 ms
コード長 9,580 bytes
コンパイル時間 2,879 ms
コンパイル使用メモリ 217,768 KB
最終ジャッジ日時 2025-01-21 08:08:02
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 5
other AC * 39
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ソースコード

diff #
プレゼンテーションモードにする

#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<<"}";
}
template<class t>
void print(t x,int suc=1){
    cout<<x;
    if(suc==1)
        cout<<"\n";
    if(suc==2)
        cout<<" ";
}
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,class u>
void print(const pair<t,u>&p,int suc=1){
    print(p.a,2);
    print(p.b,suc);
}
template<class T>
void print(const vector<T>&v,int suc=1){
    rep(i,v.size())
        print(v[i],i==int(v.size())-1?suc:2);
}
string readString(){
    string s;
    cin>>s;
    return s;
}
template<class T>
T sq(const T& t){
    return t*t;
}
//#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 botbit(signed a){
    return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
    return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
    return __builtin_popcount(t);
}
int popcount(ll t){
    return __builtin_popcountll(t);
}
bool ispow2(int i){
    return i&&(i&-i)==i;
}
ll mask(int i){
    return (ll(1)<<i)-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);
}
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;
}
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);
}
//mint107 は verify してねえ
//#define DYNAMIC_MOD
struct modinfo{uint mod,root;
#ifdef DYNAMIC_MOD
constexpr modinfo(uint m,uint r):mod(m),root(r),im(0){set_mod(m);}
ull im;
constexpr void set_mod(uint m){
    mod=m;
    im=ull(-1)/m+1;
}
uint product(uint a,uint b)const{
    ull z=ull(a)*b;
    uint x=((unsigned __int128)z*im)>>64;
    uint v=uint(z)-x*mod;
    return v<mod?v:v+mod;
}
#endif
};
template<modinfo const&ref>
struct modular{
    static constexpr uint const &mod=ref.mod;
    static modular root(){return modular(ref.root);}
    uint v;
    //modular(initializer_list<uint>ls):v(*ls.bg){}
    modular(ll vv=0){s(vv%mod+mod);}
    modular& s(uint vv){
        v=vv<mod?vv:vv-mod;
        return *this;
    }
    modular operator-()const{return modular()-*this;}
    modular& operator+=(const modular&rhs){return s(v+rhs.v);}
    modular&operator-=(const modular&rhs){return s(v+mod-rhs.v);}
    modular&operator*=(const modular&rhs){
        #ifndef DYNAMIC_MOD
        v=ull(v)*rhs.v%mod;
        #else
        v=ref.product(v,rhs.v);
        #endif
        return *this;
    }
    modular&operator/=(const modular&rhs){return *this*=rhs.inv();}
    modular operator+(const modular&rhs)const{return modular(*this)+=rhs;}
    modular operator-(const modular&rhs)const{return modular(*this)-=rhs;}
    modular operator*(const modular&rhs)const{return modular(*this)*=rhs;}
    modular operator/(const modular&rhs)const{return modular(*this)/=rhs;}
    modular pow(ll n)const{
        modular res(1),x(*this);
        while(n){
            if(n&1)res*=x;
            x*=x;
            n>>=1;
        }
        return res;
    }
    modular inv()const{return pow(mod-2);}
    /*modular inv()const{
        int x,y;
        int g=extgcd<ll>(v,mod,x,y);
        assert(g==1);
        if(x<0)x+=mod;
        return modular(x);
    }*/
    friend modular operator+(int x,const modular&y){
        return modular(x)+y;
    }
    friend modular operator-(int x,const modular&y){
        return modular(x)-y;
    }
    friend modular operator*(int x,const modular&y){
        return modular(x)*y;
    }
    friend modular operator/(int x,const modular&y){
        return modular(x)/y;
    }
    friend ostream& operator<<(ostream&os,const modular&m){
        return os<<m.v;
    }
    friend istream& operator>>(istream&is,modular&m){
        ll x;is>>x;
        m=modular(x);
        return is;
    }
    bool operator<(const modular&r)const{return v<r.v;}
    bool operator==(const modular&r)const{return v==r.v;}
    bool operator!=(const modular&r)const{return v!=r.v;}
    explicit operator bool()const{
        return v;
    }
};
#ifndef DYNAMIC_MOD
//extern constexpr modinfo base{998244353,3};
extern constexpr modinfo base{1000000007,0};
//modinfo base{1,0};
#ifdef USE_GOOD_MOD
static_assert(base.mod==998244353);
#endif
#else
modinfo base(1,0);
extern constexpr modinfo base107(1000000007,0);
using mint107=modular<base107>;
#endif
using mint=modular<base>;
const int vmax=(1<<21)+10;
mint fact[vmax],finv[vmax],invs[vmax];
void initfact(){
    fact[0]=1;
    rng(i,1,vmax){
        fact[i]=fact[i-1]*i;
    }
    finv[vmax-1]=fact[vmax-1].inv();
    for(int i=vmax-2;i>=0;i--){
        finv[i]=finv[i+1]*(i+1);
    }
    for(int i=vmax-1;i>=1;i--){
        invs[i]=finv[i]*fact[i-1];
    }
}
mint choose(int n,int k){
    return fact[n]*finv[n-k]*finv[k];
}
mint binom(int a,int b){
    return fact[a+b]*finv[a]*finv[b];
}
mint catalan(int n){
    return binom(n,n)-(n-1>=0?binom(n-1,n+1):0);
}
/*
const int vmax=110;
mint binbuf[vmax][vmax];
mint choose(int n,int k){
    return binbuf[n-k][k];
}
mint binom(int a,int b){
    return binbuf[a][b];
}
void initfact(){
    binbuf[0][0]=1;
    rep(i,vmax)rep(j,vmax){
        if(i)binbuf[i][j]+=binbuf[i-1][j];
        if(j)binbuf[i][j]+=binbuf[i][j-1];
    }
}
*/
void muri(){
    print(0);
    exit(0);
}
void slv(){
    int n,m,tar;cin>>n>>m>>tar;
    vvc<pi> g(n);
    rep(_,m){
        int x,y,z;cin>>x>>y>>z;
        x--;y--;
        g[x].eb(y,z);
        g[y].eb(x,z);
    }
    vi rs(n,-1);
    vi vis(n*2,inf);
    auto dfs=[&](auto self,int v,int k,int off,int root)->void{
        int idx=v*2+k;
        if(vis[idx]!=inf){
            if(vis[idx]!=off){
                muri();
            }
            return;
        }
        vis[idx]=off;
        rs[v]=root;
        for(auto [to,d]:g[v]){
            self(self,to,k^1,d-off,root);
        }
    };
    rep(i,n)if(rs[i]==-1)
        dfs(dfs,i,0,0,i);
    
    bool hitmax=false;
    vi dec(n,inf);
    rep(i,n)if(vis[i*2]!=inf&&vis[i*2+1]!=inf){
        int dif=vis[i*2+1]-vis[i*2];
        if(dif&1){
            muri();
        }
        dif/=2;
        int r=rs[i];
        if(dec[r]!=inf&&dec[r]!=dif)muri();
        dec[r]=dif;
    }
    rep(i,n)rep(k,2)if(dec[rs[i]]!=inf&&vis[i*2+k]!=inf){
        int w=dec[rs[i]];
        if(k)w=-w;
        w+=vis[i*2+k];
        if(w<=0||w>tar)muri();
        if(w==tar)hitmax=true;
    }
    
    auto calc=[&](int realtar)->mint{
        map<int,pi> z;
        auto upd=[&](int i,int mn,int mx){
            if(!z.count(i))z[i]=pi(mn,mx);
            chmax(z[i].a,mn);
            chmin(z[i].b,mx);
        };
        rep(i,n)if(dec[rs[i]]==inf){
            if(vis[i*2]!=inf){
                upd(rs[i],1-vis[i*2],realtar-vis[i*2]);
            }
            if(vis[i*2+1]!=inf){
                upd(rs[i],vis[i*2+1]-realtar,vis[i*2+1]-1);
            }
        }
        mint res=1;
        for(auto kv:z){
            auto [mn,mx]=kv.b;
            if(mn>mx)return 0;
            res*=(mx-mn+1);
        }
        return res;
    };
    
    mint ans=calc(tar);
    if(!hitmax)ans-=calc(tar-1);
    print(ans);
}
signed main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    cout<<fixed<<setprecision(20);
    
    //int t;cin>>t;rep(_,t)
    slv();
}
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