Submission #289720

#TimeUsernameProblemLanguageResultExecution timeMemory
289720b00n0rpJoker (BOI20_joker)C++17
100 / 100
549 ms26856 KiB
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------

#pragma GCC target("avx,avx2,fma")
/*
#pragma GCC optimize("Ofast,unroll-loops")
*/ 
// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
// #define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#define TRACE
 
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
/*
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 
*/
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO
    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES) \
    cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM) \
        printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n,m,q;
pii edges[200005];
vi adj[200005];

int l,r;

pii par[200005];
int sz[200005];

int last[200005]; 
// for each l = i,min r such that graph excluding [l..r] is bipartite
// if Ql = l,Qr >= last[i], ans = no else yes 

pii find(int u){
    if(u != par[u].F){
        pii gg = find(par[u].F);
        gg.S ^= par[u].S;
        return gg;
    }
    else return par[u];
}

stack<pair<pair<int,pii>,pii> > st;

bool add_edge(int ind){
    pii x = find(edges[ind].F);
    pii y = find(edges[ind].S);
    if(x.F == y.F){
        if(x.S == y.S){
            // trace(ind);
            return 0;
        }
        st.push({{0,{0,0}},{0,0}});
    }
    else{
        if(sz[x.F] < sz[y.F]){
            st.push({{x.F,par[x.F]},{y.F,sz[y.F]}});
            par[x.F] = {y.F,(x.S^y.S^1)};
            sz[y.F] += sz[x.F];
        }
        else{
            st.push({{y.F,par[y.F]},{x.F,sz[x.F]}});
            sz[x.F] += sz[y.F];
            par[y.F] = {x.F,(x.S^y.S^1)};
        }
    }
    return 1;
}

void rollback(){
    // trace(st.size());
    pair<pair<int,pii>,pii> noob = st.top();
    par[noob.F.F] = noob.F.S;
    sz[noob.S.F] = noob.S.S;
    st.pop();
}

void dnc(int l,int r,int optl,int optr){
    // trace(l,r,optl,optr);
    optl = max(optl,l);
    int mid = (l+r)/2;
    FOR(i,l,mid) add_edge(i);
    int opt;
    // trace(mid);
    // FOR(i,1,n+1) trace(i,par[i].F,par[i].S,sz[i]);
    FORD(i,optr,max(mid,optl)){
        if(!add_edge(i)){
            opt = i;
            break;
        }
    }
    last[mid] = opt;

    FOR(i,opt+1,optr+1) rollback();
    FOR(i,l,mid) rollback();

    if(l != mid){
        FORD(i,optr,opt+1) add_edge(i);
        dnc(l,mid-1,optl,opt);
        FOR(i,opt+1,optr+1) rollback();
    }
    if(r != mid){
        FOR(i,l,mid+1) add_edge(i);
        dnc(mid+1,r,opt,optr);
        FOR(i,l,mid+1) rollback();
    }
}

void solvethetestcase(){
    cin >> n >> m >> q;
    FOR(i,1,m+1){
        cin >> edges[i].F >> edges[i].S;
        adj[edges[i].F].pb(i);
        adj[edges[i].S].pb(i);
    }
    FOR(i,1,n+1){
        par[i] = {i,0};
        sz[i] = 1;
    }
    int low = 1,fin = m;
    bool flag = 1;
    FOR(i,1,m+1){
        if(!add_edge(i)){
            fin = i;
            flag = 0;
            break;
        }
    }
    FOR(i,fin+1,m+1) last[i] = m+1;
    while(st.size()) rollback();
    if(flag){
        FOR(i,1,m+1) last[i] = i;
    }
    else dnc(low,fin,1,m);
    WL(q){
        int l,r; cin >> l >> r;
        if(r >= last[l]) cout << "NO\n";
        else cout << "YES\n";
    }
}

Compilation message (stderr)

Joker.cpp:23:1: warning: multi-line comment [-Wcomment]
   23 | // typedef tree<int,null_type,less<int>,rb_tree_tag, \
      | ^
Joker.cpp:180:5: warning: multi-line comment [-Wcomment]
  180 |     // (UNCOMMENT FOR MULTIPLE TEST CASES) \
      |     ^
Joker.cpp:183:9: warning: multi-line comment [-Wcomment]
  183 |         // (UNCOMMENT FOR CODEJAM) \
      |         ^
Joker.cpp: In function 'void dnc(int, int, int, int)':
Joker.cpp:36:39: warning: 'opt' may be used uninitialized in this function [-Wmaybe-uninitialized]
   36 | #define FORD(i,a,b) for (int i = a; i >= b; i--)
      |                                       ^~
Joker.cpp:251:9: note: 'opt' was declared here
  251 |     int opt;
      |         ^~~
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