oj.uz

Submission #434681

# Submission time Handle Problem Language Result Execution time Memory
434681 2021-06-21T14:42:43 Z fcmalkcin Intergalactic ship (IZhO19_xorsum) C++17
100 / 100
 1851 ms 35628 KB 
// #pragma GCC optimize("Ofast")
// #pragma GCC target("avx2")

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;

typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;

typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;

#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
#define ll  long long
#define pll pair<ll,ll>
#define ff first
#define ss second
#define pb push_back
#define endl "\n"

const ll maxn=1e3+10;
const ll mod =1e9+7 ;
const ll base=1e13;
ll a[maxn];
ll l[maxn*maxn];
ll r[maxn*maxn];
ll x[maxn*maxn];
ll gt[maxn];
ll gtv[maxn];
ll mul(ll a,ll n)
{
    if (n==0)
        return 1;
    if (n==1)
        return a;
    ll t=mul(a,n/2);
    if (n%2==0)
        return (t*t)%mod;
    return ((t*t)%mod*a)%mod;
}
void setup()
{
    gt[0]=1;
    for (int i=1; i<maxn; i++)
    {
        gt[i]=(gt[i-1]*i)%mod;
    }
    gtv[maxn-1]=mul(gt[maxn-1],mod-2);
    for (int i=maxn-2; i>=0; i--)
    {
        gtv[i]=(gtv[i+1]*(i+1))%mod;
    }
}
ll nck(ll n,ll k)
{
    if (n<k)
        return 0;
    return ((gt[n]*gtv[k])%mod*gtv[n-k])%mod;
}
vector<vector<ll>> dpl;
vector<vector<ll>> dpr;
vector<vector<ll>> dpb;

const int root = 3, MOD = (119<<23)+1; // 998244353
// For p < 2^30 there is also e.g. (5<<25, 3), (7<<26, 3)
/// (479<<21, 3) and (483<<21, 5). Last two are > 10^9.
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b)
{
    return b < a ? a = b, 1 : 0;
}
template<class T> bool ckmax(T& a, const T& b)
{
    return a < b ? a = b, 1 : 0;
}
int pct(int x)
{
    return __builtin_popcount(x);
}
int bits(int x)
{
    return 31-__builtin_clz(x);    // floor(log2(x))
}
int cdiv(int a, int b)
{
    return a/b+!(a<0||a%b == 0);    // division of a by b rounded up, assumes b > 0
}
int fstTrue(function<bool(int)> f, int lo, int hi)
{
    hi ++;
    assert(lo <= hi); // assuming f is increasing
    while (lo < hi)   // find first index such that f is true
    {
        int mid = (lo+hi)/2;
        f(mid) ? hi = mid : lo = mid+1;
    }
    return lo;
}
template<class T> void remDup(vector<T>& v)
{
    sort(all(v));
    v.erase(unique(all(v)),end(v));
}
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x)
{
    cin >> x;
}
void re(db& d)
{
    str t;
    re(t);
    d = stod(t);
}
void re(ld& d)
{
    str t;
    re(t);
    d = stold(t);
}
template<class H, class... T> void re(H& h, T&... t)
{
    re(h);
    re(t...);
}
template<class A> void re(complex<A>& c)
{
    A a,b;
    re(a,b);
    c = {a,b};
}
template<class A, class B> void re(pair<A,B>& p)
{
    re(p.f,p.s);
}
template<class A> void re(vector<A>& x)
{
    trav(a,x) re(a);
}
template<class A, size_t SZ> void re(array<A,SZ>& x)
{
    trav(a,x) re(a);
}
// TO_STRING
#define ts to_string
str ts(char c)
{
    return str(1,c);
}
str ts(bool b)
{
    return b ? "true" : "false";
}
str ts(const char* s)
{
    return (str)s;
}
str ts(str s)
{
    return s;
}
template<class A> str ts(complex<A> c)
{
    stringstream ss;
    ss << c;
    return ss.str();
}
str ts(vector<bool> v)
{
    str res = "{";
    F0R(i,sz(v)) res += char('0'+v[i]);
    res += "}";
    return res;
}
template<size_t SZ> str ts(bitset<SZ> b)
{
    str res = "";
    F0R(i,SZ) res += char('0'+b[i]);
    return res;
}
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v)   // containers with begin(), end()
{
    bool fst = 1;
    str res = "{";
    for (const auto& x: v)
    {
        if (!fst)
            res += ", ";
        fst = 0;
        res += ts(x);
    }
    res += "}";
    return res;
}
template<class A, class B> str ts(pair<A,B> p)
{
    return "("+ts(p.f)+", "+ts(p.s)+")";
}
// OUTPUT
template<class A> void pr(A x)
{
    cout << ts(x);
}
template<class H, class... T> void pr(const H& h, const T&... t)
{
    pr(h);
    pr(t...);
}
void ps()
{
    pr("\n");    // print w/ spaces
}
template<class H, class... T> void ps(const H& h, const T&... t)
{
    pr(h);
    if (sizeof...(t))
        pr(" ");
    ps(t...);
}
// DEBUG
void DBG()
{
    cerr << "]" << endl;
}
template<class H, class... T> void DBG(H h, T... t)
{
    cerr << ts(h);
    if (sizeof...(t))
        cerr << ", ";
    DBG(t...);
}
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif
// FILE I/O
void setIn(string s)
{
    freopen(s.c_str(),"r",stdin);
}
void setOut(string s)
{
    freopen(s.c_str(),"w",stdout);
}
void unsyncIO()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
}
void setIO(string s = "")
{
    unsyncIO();
    // cin.exceptions(cin.failbit);
    // throws exception when do smth illegal
    // ex. try to read letter into int
    if (sz(s))
    {
        setIn(s+".in"), setOut(s+".out");    // for USACO
    }
}


int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    if (fopen("t.inp", "r"))
    {
        freopen("test.inp", "r", stdin);
        freopen("test.out", "w", stdout);
    }
    setup();
    ll n, q;
    cin>> n;
    for (int i=1; i<=n; i++)
    {
        cin>>a[i];
    }
    cin>> q;
    for (int i=1; i<=q; i++)
    {
        cin>>l[i]>>r[i]>>x[i];
    }
    ll ans=0;
    for (int t=0; t<7; t++)
    {
        for (int k=0; k<7; k++)
        {
            dpl=vector<vector<ll>>(n+3,vector<ll>(n+3,0));
            dpr=vector<vector<ll>>(n+3,vector<ll>(n+3,0));
            dpb=vector<vector<ll>>(n+3,vector<ll>(n+3,0));

            const auto add = [&] (vector<vector<ll>> &dp,ll x,ll y,ll x1,ll y1)
            {
                dp[x][y]++;
                dp[x1+1][y]--;
                dp[x][y1+1]--;
                dp[x1+1][y1+1]++;
            };
            for (int i=1; i<=q; i++)
            {
                bool chk1=(x[i]&(1ll<<t));
                bool chk2=(x[i]&(1ll<<k));
                if (chk1&&chk2)
                {
                    add(dpb,l[i],l[i],r[i],r[i]);
                    add(dpr,1,l[i],l[i]-1,r[i]);
                    add(dpl,l[i],r[i]+1,r[i],n);
                }
                else if (chk1)
                {
                    add(dpl,l[i],1,r[i],n);
                }
                else if (chk2)
                {
                    add(dpr,1,l[i],n,r[i]);
                }
            }
            for (int i=1; i<=n; i++)
            {
                for (int j=1; j<=n; j++)
                {
                    dpb[i][j]+=dpb[i-1][j];
                    dpb[i][j]+=dpb[i][j-1];
                    dpb[i][j]-=dpb[i-1][j-1];
                    dpl[i][j]+=dpl[i-1][j];
                    dpl[i][j]+=dpl[i][j-1];
                    dpl[i][j]-=dpl[i-1][j-1];
                    dpr[i][j]+=dpr[i-1][j];
                    dpr[i][j]+=dpr[i][j-1];
                    dpr[i][j]-=dpr[i-1][j-1];
                }
            }
            const auto get = [&] (ll x,ll parity) ->ll
            {
                 if (x==0) return (parity==0);
                 return (mod+1)/2;
            };
            for (ll i=1; i<=n; i++)
            {
                for (ll j=i; j<=n; j++)
                {
                    ll nw=(1ll<<(t))*i*(n-j+1)*(1ll<<k);
                    if (i!=j)
                        nw=(nw*2)%mod;
                     ll pt=min(1ll,a[i]&(1ll<<t));
                     ll pt1=min(1ll,a[j]&(1ll<<k));
                     for (int t1=0;t1<=1;t1++)
                     {
                          for (int t2=0;t2<=1;t2++)
                          {
                              for (int t3=0;t3<=1;t3++)
                              {
                                  if (((pt^t1^t3)==1)&&((pt1^t2^t3)==1))
                                  {
                                       ans=(ans+(((get(dpl[i][j],t1)*get(dpr[i][j],t2))%mod*get(dpb[i][j],t3))%mod*nw)%mod)%mod;
                                  }
                              }
                          }
                     }
                }
            }
        }
    }
    for (int i=1;i<=q;i++)
    {
        ans=(ans*2)%mod;
    }
    cout <<ans;
}

Compilation message

xorsum.cpp: In function 'void setIn(std::string)':
xorsum.cpp:277:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  277 |     freopen(s.c_str(),"r",stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
xorsum.cpp: In function 'void setOut(std::string)':
xorsum.cpp:281:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  281 |     freopen(s.c_str(),"w",stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
xorsum.cpp: In function 'int main()':
xorsum.cpp:308:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  308 |         freopen("test.inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
xorsum.cpp:309:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  309 |         freopen("test.out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 340 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 708 KB Output is correct
7 Correct 15 ms 704 KB Output is correct
8 Correct 15 ms 704 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 3140 KB Output is correct
2 Correct 23 ms 844 KB Output is correct
3 Correct 15 ms 716 KB Output is correct
4 Correct 15 ms 588 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1590 ms 32132 KB Output is correct
2 Correct 1608 ms 31976 KB Output is correct
3 Correct 1620 ms 32248 KB Output is correct
4 Correct 1615 ms 32080 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 332 KB Output is correct
2 Correct 2 ms 332 KB Output is correct
3 Correct 2 ms 348 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 332 KB Output is correct
2 Correct 2 ms 332 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 6 ms 512 KB Output is correct
5 Correct 6 ms 460 KB Output is correct
6 Correct 6 ms 460 KB Output is correct
7 Correct 6 ms 460 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 708 KB Output is correct
7 Correct 15 ms 704 KB Output is correct
8 Correct 15 ms 704 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 2 ms 332 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 16 ms 716 KB Output is correct
13 Correct 17 ms 720 KB Output is correct
14 Correct 16 ms 716 KB Output is correct
15 Correct 15 ms 716 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 708 KB Output is correct
7 Correct 15 ms 704 KB Output is correct
8 Correct 15 ms 704 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 2 ms 332 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 6 ms 512 KB Output is correct
13 Correct 6 ms 460 KB Output is correct
14 Correct 6 ms 460 KB Output is correct
15 Correct 6 ms 460 KB Output is correct
16 Correct 16 ms 716 KB Output is correct
17 Correct 17 ms 720 KB Output is correct
18 Correct 16 ms 716 KB Output is correct
19 Correct 15 ms 716 KB Output is correct
20 Correct 571 ms 11776 KB Output is correct
21 Correct 537 ms 11892 KB Output is correct
22 Correct 448 ms 11852 KB Output is correct

Subtask #9
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 15 ms 708 KB Output is correct
7 Correct 15 ms 704 KB Output is correct
8 Correct 15 ms 704 KB Output is correct
9 Correct 105 ms 3140 KB Output is correct
10 Correct 23 ms 844 KB Output is correct
11 Correct 15 ms 716 KB Output is correct
12 Correct 15 ms 588 KB Output is correct
13 Correct 1590 ms 32132 KB Output is correct
14 Correct 1608 ms 31976 KB Output is correct
15 Correct 1620 ms 32248 KB Output is correct
16 Correct 1615 ms 32080 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 460 KB Output is correct
22 Correct 6 ms 460 KB Output is correct
23 Correct 6 ms 460 KB Output is correct
24 Correct 16 ms 716 KB Output is correct
25 Correct 17 ms 720 KB Output is correct
26 Correct 16 ms 716 KB Output is correct
27 Correct 15 ms 716 KB Output is correct
28 Correct 571 ms 11776 KB Output is correct
29 Correct 537 ms 11892 KB Output is correct
30 Correct 448 ms 11852 KB Output is correct
31 Correct 1851 ms 35572 KB Output is correct
32 Correct 1770 ms 35628 KB Output is correct
33 Correct 1736 ms 35396 KB Output is correct
34 Correct 1694 ms 35340 KB Output is correct
35 Correct 1692 ms 35324 KB Output is correct
36 Correct 1733 ms 35376 KB Output is correct