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Submission #919041

# Submission time Handle Problem Language Result Execution time Memory
919041 2024-01-31T06:29:14 Z vjudge1 Stranded Far From Home (BOI22_island) C++17
100 / 100
 666 ms 86968 KB 
#include <bits/stdc++.h>
#define MAX 300001
#define INF LLONG_MAX
#define MOD 1000000007
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define ins insert
#define ff first
#define ss second
#define gett(x,m) get<m>(x)
#define all(a) a.begin(),a.end()
#define lb(a,b) lower_bound(all(a),b)
#define ub(a,b) upper_bound(all(a),b)
#define sortv(a) sort(all(a))
#define sorta(a,sz) sort(a,a+sz)
#define inputar(a,b){\
    for(int i=0;i<b;i++){\
        cin >> a[i];\
    }\
}
#define inputvec(a,b){\
    for(int i=0;i<b;i++){\
        ll num;\
        cin >> num;\
        a.pb(num);\
    }\
}
#define outputar(a,b){\
    for(int i=0;i<b;i++){\
        cout << a[i] << " ";\
    }\
    cout << "\n";\
}
#define outputvec(a){\
    for(auto x:a){\
        cout << x << " ";\
    }\
    cout << "\n";\
}
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef tuple<ll,ll,ll> tll;
typedef pair<ll,ll> pll;
typedef double db;
typedef long double ldb;
inline void USACO(string filename){
  freopen((filename+".in").c_str(),"r",stdin);
  freopen((filename+".out").c_str(),"w",stdout);
}
ll n,q,t=1,m,n2,m2,k,cnt=0,a[MAX],b[MAX],d[MAX],d2[MAX],cnte[MAX],x,y,z,x2,y2,z2,res1=0,cnt1,cnt2,cnt3;
ll c[501][501];
ll fact[MAX];
ll inv_fact[MAX];
//char c;
string str[MAX];
string s1,s2;
vector<tuple<ll,ll,ll>> v;
vector<pll> v1,v2,v3,v4;
const int mod = 998244353;
ll modmul(ll x,ll y,ll md){
    if(y==1){
        return x;
    }
    if(y%2){
        return (x+modmul(x,y-1,md))%md;
    }
    else{
        return (modmul((x+x)%md,y/2,md))%md;
    }
}
ll powmod(ll x,ll y,ll md){
    x%=md;
    if(x==0){
        return 0;
    }
    ll res=1;
    while(y){
        if(y%2==1){
            res*=x;
            res%=md;
        }
        x*=x;
        x%=md;
        y/=2;
    }
    return res;
}
ll pow2(ll x,ll y){
    if(x==0){
        return 0;
    }
    ll res=1;
    while(y>0){
        if(y%2==1){
            if(res>=1e18/x){
                res=1e18;
            }
            else{
                res*=x;
            }
        }
        if(x>=1e18/x){
            x=1e18;
        }
        else{
            x*=x;
        }
        y/=2;
    }
    return res;
}
ll inv(ll n,ll md){
    return powmod(n,md-2,md);
}
ll nCkm(ll n,ll k,ll md){
    if(n-k<0){
        return 0;
    }
    return fact[n]*inv_fact[k]%md*inv_fact[n-k]%md;
}
ll nCk(ll x,ll y){
    if(x<y){
        return 0;
    }
    ll res=1;
    if(y>x-y){
        for(int i=y+1;i<=x;i++){
            res*=i;
        }
        for(int i=2;i<=x-y;i++){
            res/=i;
        }
    }
    else{
        for(int i=x-y+1;i<=x;i++){
            res*=i;
        }
        for(int i=2;i<=y;i++){
            res/=i;
        }
    }
    return res;
}
ll countbits(ll x){
    ll cnt=0;
    while(x){
        cnt+=x&1;
        x>>=1;
    }
    return cnt;
}
ll gcd(ll x,ll y){
    if(y==0){
        return x;
    }
    return gcd(y,x%y);
}
ll lcm(ll x,ll y){
    return x*y/gcd(x,y);
}
bool alpha(char c1,char c2){
    ll h1,h2;
    if(c1>='a'){
        h1=c1-'a';
    }
    else{
        h1=c1-'A';
    }
    if(c2>='a'){
        h2=c2-'a';
    }
    else{
        h2=c2-'A';
    }
    if(h1==h2){
        return c1<c2;
    }
    else{
        return h1<h2;
    }
}
ll dx[4]={1,0,0,-1};
ll dy[4]={0,1,-1,0};
struct custom_hash {
   static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
 
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};
pll f(pll x,pll y){
    if(x.ff>y.ff || (x.ff==y.ff && x.ss<y.ss)){
        return mp(x.ff,x.ss);
    }
    else{
        return mp(y.ff,y.ss);
    }
}
struct segtree{
    int size;
    vector<pll> maximum;
    /*
    void build(vector<int> &a,int x,int lx,int rx){
        if(rx-lx==1){
            if(lx<(int)a.size()){
                maximum[x]=a[lx];
            }
            return;
        }
        int m=(lx+rx)/2;
        build(a,2*x+1,lx,m);
        build(a,2*x+2,m,rx);
        maximum[x]=max(maximum[2*x+1],maximum[2*x+2]);
    }
    void build(vector<int> &a){
        build(a,0,0,size);
    }
    */
    void init(int n){
        size=1;
        while(size<n){
            size*=2;
        }
        pll p={-INF,-1};
        maximum.assign(2*size,p);
    }
    pll get_max(int l,int r,int x,int lx,int rx){
        if(lx>=r || rx<=l){
            return mp(-INF,(ll)-1);
        }
        if(lx>=l && rx<=r){
            return maximum[x];
        }
        pll s1,s2;
        int m=(lx+rx)/2;
        s1=get_max(l,r,2*x+1,lx,m);
        s2=get_max(l,r,2*x+2,m,rx);
        return f(s1,s2);
    }
    pll get_max(int l,int r){
        return get_max(l,r,0,0,size);
    }
    void set(int i,int v,int num,int x,int lx,int rx){
        if(rx-lx==1){
            maximum[x]=pll(v,num);
            return;
        }
        int m=(lx+rx)/2;
        if(i<m){
            set(i,v,num,2*x+1,lx,m);
        }
        else{
            set(i,v,num,2*x+2,m,rx);
        }
        maximum[x]=f(maximum[2*x+1],maximum[2*x+2]);
    }
    void set(int i,int v,int num){
        set(i,v,num,0,0,size);
    }
};
struct segtree2{
    int size;
    vector<ll> xr;
    /*
    void build(vector<int> &a,int x,int lx,int rx){
        if(rx-lx==1){
            if(lx<(int)a.size()){
                maximum[x]=a[lx];
            }
            return;
        }
        int m=(lx+rx)/2;
        build(a,2*x+1,lx,m);
        build(a,2*x+2,m,rx);
        maximum[x]=max(maximum[2*x+1],maximum[2*x+2]);
    }
    void build(vector<int> &a){
        build(a,0,0,size);
    }
    */
    void init(int n){
        size=1;
        while(size<n){
            size*=2;
        }
        xr.assign(2*size,0);
    }
    ll get_xr(int l,int r,int x,int lx,int rx){
        if(lx>=r || rx<=l){
            return 0;
        }
        if(lx>=l && rx<=r){
            return xr[x];
        }
        ll s1,s2;
        int m=(lx+rx)/2;
        s1=get_xr(l,r,2*x+1,lx,m);
        s2=get_xr(l,r,2*x+2,m,rx);
        return (s1^s2);
    }
    ll get_xr(int l,int r){
        return get_xr(l,r,0,0,size);
    }
    void set(int i,int v,int x,int lx,int rx){
        if(rx-lx==1){
            xr[x]=v;
            return;
        }
        int m=(lx+rx)/2;
        if(i<m){
            set(i,v,2*x+1,lx,m);
        }
        else{
            set(i,v,2*x+2,m,rx);
        }
        xr[x]=(xr[2*x+1]^xr[2*x+2]);
    }
    void set(int i,int v){
        set(i,v,0,0,size);
    }
};
vector<vector<ll>> g;
vector<vector<ll>> vec;
struct dsu{
    vector<ll> e;
    vector<ll> sum;
    void init(int n){
        e.resize(n+1,-1);
        sum.resize(n+1);
        for(int i=1;i<=n;i++){
            sum[i]=a[i];
            vec[i].pb(i);
        }
    }
    int get(int x){
        if(e[x]<0){
            return x;
        }
        else{
            return e[x]=get(e[x]);
        }
    }
    bool same_set(int x,int y){
        return (get(x)==get(y));
    }
    int size(int x){
        return -e[get(x)];
    }
    ll get_sum(int x){
        return sum[get(x)];
    }
    bool unite(int x,int y){
        x=get(x);
        y=get(y);
        if(x==y){
            return false;
        }
        if(e[x]>e[y]){
            swap(x,y);
        }
        e[x]+=e[y];
        sum[x]+=sum[y];
        for(auto z:vec[y]){
            vec[x].pb(z);
        }
        e[y]=x;
        return true;
    }
};
void solve(){
    cin >> n >> m;
    g.resize(n+1);
    vec.resize(n+1);
    vector<vector<ll>> c;
    set<ll> st;
    map<ll,ll> comp;
    for(int i=1;i<=n;i++){
        cin >> a[i];
        st.ins(a[i]);
    }
    ll cnt=0;
    for(auto x:st){
        comp[x]=cnt;
        cnt++;
    }
    c.resize(cnt);
    for(int i=1;i<=n;i++){
        c[comp[a[i]]].pb(i);
    }
    for(int i=0;i<m;i++){
        cin >> x >> y;
        g[x].pb(y);
        g[y].pb(x);
    }
    dsu h;
    h.init(n);
    for(int i=0;i<cnt;i++){
        for(auto y:c[i]){
            for(auto z:g[y]){
                if(a[z]<=a[y]){
                    if(h.get_sum(z)<a[y]){
                        ll rt=h.get(z);
                        for(auto nd:vec[rt]){
                            b[nd]=1;
                        }
                        vec[rt].clear();
                    }
                    h.unite(z,y);
                }
            }
        }
    }
    for(int i=1;i<=n;i++){
        cout << 1-b[i];
    }
}
int main(){
    //ios::sync_with_stdio(0);
    //cin.tie(0);
    //cout.tie(0);
    //USACO("poetry");
    //freopen("input.txt","r",stdin);
    //cin >> t;
    ll cnt1=1;
    while(t--){
        solve();
        cnt1++;
    }
}
/*
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
ifstream fin("template.in");
ofstream fout("template.out");
*/
/*
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
ifstream fin("template.in");
ofstream fout("template.out");
*/
/*
ll b[51][51];
b[0][0] = 1;
    for (int n = 1; n <= 50; ++n){
        b[n][0] = b[n][n] = 1;
        for (int k = 1; k < n; ++k)
            b[n][k] = b[n - 1][k - 1] + b[n - 1][k];
    }
*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 16988 KB Output is correct
2 Correct 4 ms 16988 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 7 ms 17500 KB Output is correct
5 Correct 7 ms 17496 KB Output is correct
6 Correct 6 ms 17244 KB Output is correct
7 Correct 8 ms 17340 KB Output is correct
8 Correct 6 ms 17496 KB Output is correct
9 Correct 5 ms 17240 KB Output is correct
10 Correct 7 ms 17496 KB Output is correct
11 Correct 7 ms 17752 KB Output is correct
12 Correct 7 ms 17496 KB Output is correct
13 Correct 5 ms 17244 KB Output is correct
14 Correct 7 ms 17244 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 16984 KB Output is correct
2 Correct 3 ms 12888 KB Output is correct
3 Correct 362 ms 82888 KB Output is correct
4 Correct 222 ms 49564 KB Output is correct
5 Correct 422 ms 83752 KB Output is correct
6 Correct 367 ms 78296 KB Output is correct
7 Correct 431 ms 86212 KB Output is correct
8 Correct 312 ms 50904 KB Output is correct
9 Correct 364 ms 82240 KB Output is correct
10 Correct 331 ms 72640 KB Output is correct
11 Correct 219 ms 50896 KB Output is correct
12 Correct 285 ms 50144 KB Output is correct
13 Correct 246 ms 48452 KB Output is correct
14 Correct 225 ms 49020 KB Output is correct
15 Correct 385 ms 81864 KB Output is correct
16 Correct 284 ms 80364 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 633 ms 86492 KB Output is correct
3 Correct 533 ms 79420 KB Output is correct
4 Correct 241 ms 51136 KB Output is correct
5 Correct 177 ms 48968 KB Output is correct
6 Correct 569 ms 86864 KB Output is correct
7 Correct 345 ms 81612 KB Output is correct
8 Correct 352 ms 81840 KB Output is correct
9 Correct 272 ms 80328 KB Output is correct
10 Correct 284 ms 64664 KB Output is correct
11 Correct 224 ms 50640 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 312 ms 52568 KB Output is correct
3 Correct 291 ms 53360 KB Output is correct
4 Correct 317 ms 55480 KB Output is correct
5 Correct 302 ms 58460 KB Output is correct
6 Correct 287 ms 52008 KB Output is correct
7 Correct 214 ms 52044 KB Output is correct
8 Correct 157 ms 49552 KB Output is correct
9 Correct 152 ms 36816 KB Output is correct
10 Correct 277 ms 59804 KB Output is correct
11 Correct 216 ms 49492 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 16988 KB Output is correct
2 Correct 4 ms 16988 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 7 ms 17500 KB Output is correct
5 Correct 7 ms 17496 KB Output is correct
6 Correct 6 ms 17244 KB Output is correct
7 Correct 8 ms 17340 KB Output is correct
8 Correct 6 ms 17496 KB Output is correct
9 Correct 5 ms 17240 KB Output is correct
10 Correct 7 ms 17496 KB Output is correct
11 Correct 7 ms 17752 KB Output is correct
12 Correct 7 ms 17496 KB Output is correct
13 Correct 5 ms 17244 KB Output is correct
14 Correct 7 ms 17244 KB Output is correct
15 Correct 4 ms 16984 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 362 ms 82888 KB Output is correct
18 Correct 222 ms 49564 KB Output is correct
19 Correct 422 ms 83752 KB Output is correct
20 Correct 367 ms 78296 KB Output is correct
21 Correct 431 ms 86212 KB Output is correct
22 Correct 312 ms 50904 KB Output is correct
23 Correct 364 ms 82240 KB Output is correct
24 Correct 331 ms 72640 KB Output is correct
25 Correct 219 ms 50896 KB Output is correct
26 Correct 285 ms 50144 KB Output is correct
27 Correct 246 ms 48452 KB Output is correct
28 Correct 225 ms 49020 KB Output is correct
29 Correct 385 ms 81864 KB Output is correct
30 Correct 284 ms 80364 KB Output is correct
31 Correct 2 ms 12888 KB Output is correct
32 Correct 633 ms 86492 KB Output is correct
33 Correct 533 ms 79420 KB Output is correct
34 Correct 241 ms 51136 KB Output is correct
35 Correct 177 ms 48968 KB Output is correct
36 Correct 569 ms 86864 KB Output is correct
37 Correct 345 ms 81612 KB Output is correct
38 Correct 352 ms 81840 KB Output is correct
39 Correct 272 ms 80328 KB Output is correct
40 Correct 284 ms 64664 KB Output is correct
41 Correct 224 ms 50640 KB Output is correct
42 Correct 3 ms 12888 KB Output is correct
43 Correct 312 ms 52568 KB Output is correct
44 Correct 291 ms 53360 KB Output is correct
45 Correct 317 ms 55480 KB Output is correct
46 Correct 302 ms 58460 KB Output is correct
47 Correct 287 ms 52008 KB Output is correct
48 Correct 214 ms 52044 KB Output is correct
49 Correct 157 ms 49552 KB Output is correct
50 Correct 152 ms 36816 KB Output is correct
51 Correct 277 ms 59804 KB Output is correct
52 Correct 216 ms 49492 KB Output is correct
53 Correct 4 ms 16984 KB Output is correct
54 Correct 4 ms 16984 KB Output is correct
55 Correct 3 ms 12888 KB Output is correct
56 Correct 6 ms 17496 KB Output is correct
57 Correct 7 ms 17788 KB Output is correct
58 Correct 5 ms 17244 KB Output is correct
59 Correct 6 ms 17496 KB Output is correct
60 Correct 5 ms 17240 KB Output is correct
61 Correct 5 ms 17240 KB Output is correct
62 Correct 6 ms 17496 KB Output is correct
63 Correct 6 ms 17496 KB Output is correct
64 Correct 6 ms 17496 KB Output is correct
65 Correct 5 ms 17240 KB Output is correct
66 Correct 5 ms 17232 KB Output is correct
67 Correct 356 ms 83096 KB Output is correct
68 Correct 219 ms 49676 KB Output is correct
69 Correct 372 ms 83648 KB Output is correct
70 Correct 376 ms 78728 KB Output is correct
71 Correct 392 ms 86192 KB Output is correct
72 Correct 253 ms 51008 KB Output is correct
73 Correct 350 ms 82244 KB Output is correct
74 Correct 310 ms 72640 KB Output is correct
75 Correct 207 ms 50560 KB Output is correct
76 Correct 236 ms 50244 KB Output is correct
77 Correct 211 ms 48708 KB Output is correct
78 Correct 189 ms 48840 KB Output is correct
79 Correct 368 ms 81520 KB Output is correct
80 Correct 283 ms 80448 KB Output is correct
81 Correct 648 ms 86304 KB Output is correct
82 Correct 470 ms 79588 KB Output is correct
83 Correct 233 ms 51184 KB Output is correct
84 Correct 195 ms 48796 KB Output is correct
85 Correct 615 ms 86968 KB Output is correct
86 Correct 342 ms 81696 KB Output is correct
87 Correct 326 ms 81532 KB Output is correct
88 Correct 286 ms 64708 KB Output is correct
89 Correct 209 ms 50640 KB Output is correct
90 Correct 290 ms 52500 KB Output is correct
91 Correct 302 ms 53108 KB Output is correct
92 Correct 304 ms 55604 KB Output is correct
93 Correct 304 ms 58560 KB Output is correct
94 Correct 290 ms 51912 KB Output is correct
95 Correct 211 ms 51460 KB Output is correct
96 Correct 158 ms 49700 KB Output is correct
97 Correct 154 ms 36812 KB Output is correct
98 Correct 259 ms 59840 KB Output is correct
99 Correct 217 ms 49392 KB Output is correct
100 Correct 82 ms 24144 KB Output is correct
101 Correct 584 ms 77304 KB Output is correct
102 Correct 231 ms 47808 KB Output is correct
103 Correct 443 ms 65988 KB Output is correct
104 Correct 666 ms 81772 KB Output is correct