Submission #1035624

#	Time	Username	Problem	Language	Result	Execution time	Memory
1035624		alexander707070	Intergalactic ship (IZhO19_xorsum)	C++14	6 / 100	86 ms	11096 KiB

xorsum

#include<bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#define MAXN 100007
using namespace std;
 
struct query{
    int type,val;
};
 
const int maxa=128;
const long long mod=1e9+7;
 
int n,d[MAXN],q,l[MAXN],r[MAXN],x[MAXN];
 
long long dp[507][150][150];
long long power[100007];
long long cnt[1007][1007],ans;
 
vector<query> w;
int li[207][3],tim,rest;
int br[207][3],qs[MAXN];

long long ways[MAXN][150];
vector<long long> poss[MAXN];
 
void calcdp(){
    dp[0][0][0]=1;
 
    for(int pos=1;pos<=int(w.size());pos++){
        for(int s=0;s<maxa;s++){
                int t=s;
 
                if(w[pos-1].type==0){
                    dp[pos][s][t]=(dp[pos-1][s][t] + dp[pos-1][s^w[pos-1].val][t])*power[br[w[pos-1].val][0]-1];
                }
 
                if(w[pos-1].type==1){
                    dp[pos][s][t]=(dp[pos-1][s][t] + dp[pos-1][s][t^w[pos-1].val])*power[br[w[pos-1].val][1]-1];
                }
 
                if(w[pos-1].type==2){
                    dp[pos][s][t]=(dp[pos-1][s][t] + dp[pos-1][s^w[pos-1].val][t^w[pos-1].val])*power[br[w[pos-1].val][2]-1];
                }
 
                dp[pos][s][t]%=mod;
        }
    }
}
 
bool in(int a,int l,int r){
    return a>=l and a<=r;
}
 
long long calc(int a,int b){
    long long res=0;
 
    /*rest=0; tim++;
    w.clear();
 
    for(int i=0;i<=200;i++){
        for(int f=0;f<3;f++)br[i][f]=0;
    }
 
    for(int i=1;i<=q;i++){
        if(!in(a,l[i],r[i]) and !in(b,l[i],r[i]))rest++;
 
        if(in(a,l[i],r[i]) and !in(b,l[i],r[i])){
            if(li[x[i]][0]!=tim)w.push_back({0,x[i]});
            li[x[i]][0]=tim;
            br[x[i]][0]++;
        }
        if(!in(a,l[i],r[i]) and in(b,l[i],r[i])){
            if(li[x[i]][1]!=tim)w.push_back({1,x[i]});
            li[x[i]][1]=tim;
            br[x[i]][1]++;
        }
        if(in(a,l[i],r[i]) and in(b,l[i],r[i])){
            if(li[x[i]][2]!=tim)w.push_back({2,x[i]});
            li[x[i]][2]=tim;
            br[x[i]][2]++;
        }
    }
 
    calcdp();*/
 
    for(long long s:poss[a]){
        for(long long t:poss[b]){
            if(a==b and s==t) res+=((s*t*cnt[a][b])%mod) * ((ways[a][s]*power[q-qs[a]])%mod);
            else if(a!=b)res+=((s*t*cnt[a][b])%mod) * ((((ways[a][s]*ways[b][t])%mod)*power[q-qs[a]-qs[b]])%mod);
            res%=mod;
        }
    }
 
    return res;
}
 
int main(){
 
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
 
    cin>>n;
    for(int i=1;i<=n;i++){
        cin>>d[i];
    }
 
    for(int i=1;i<=n;i++){
        for(int f=i;f<=n;f++){
            cnt[i][f]=i*(n-f+1);
            if(i!=f)cnt[i][f]*=2;
        }
    }
 
    cin>>q;
    for(int i=1;i<=q;i++){
        cin>>l[i]>>r[i]>>x[i];
    }

    power[0]=1;
    for(int i=1;i<=q;i++){
        power[i]=(power[i-1]*2)%mod;
    }

    for(int z=1;z<=n;z++){

        rest=0; tim++;
        w.clear();
    
        for(int i=0;i<=200;i++){
            for(int f=0;f<3;f++)br[i][f]=0;
        }
    
        for(int i=1;i<=q;i++){
            if(!in(z,l[i],r[i]) and !in(z,l[i],r[i]))rest++;
    
            if(in(z,l[i],r[i]) and !in(z,l[i],r[i])){
                if(li[x[i]][0]!=tim)w.push_back({0,x[i]});
                li[x[i]][0]=tim;
                br[x[i]][0]++;
            }
            if(!in(z,l[i],r[i]) and in(z,l[i],r[i])){
                if(li[x[i]][1]!=tim)w.push_back({1,x[i]});
                li[x[i]][1]=tim;
                br[x[i]][1]++;
            }
            if(in(z,l[i],r[i]) and in(z,l[i],r[i])){
                qs[z]++;

                if(li[x[i]][2]!=tim)w.push_back({2,x[i]});
                li[x[i]][2]=tim;
                br[x[i]][2]++;
            }
        }
    
        calcdp();

        for(int f=0;f<maxa;f++){
            ways[z][f]=(dp[int(w.size())][d[z]^f][d[z]^f])%mod;
            if(ways[z][f]>0)poss[z].push_back(f);
        }
    }
 
    for(int i=1;i<=n;i++){
        for(int f=i;f<=n;f++){
            ans+=calc(i,f);
            ans%=mod;
        }
    }
 
    cout<<ans<<"\n";
 
    return 0;
}

• Subtask 1: 0 / 4
• Subtask 2: 0 / 5
• Subtask 3: 6 / 6
• Subtask 4: 0 / 9
• Subtask 5: 0 / 8
• Subtask 6: 0 / 11
• Subtask 7: 0 / 19
• Subtask 8: 0 / 30
• Subtask 9: 0 / 8