This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long int lli;
typedef pair<int,int> pii;
const int MAXN = 100010;
int myGCD(int a, int b)
{
while( b != 0 )
swap( a , b ), b %= a;
return a;
}
class SegmentTreeOpts
{
public:
int getLeft(int node) { return 2*node; }
int getRight(int node) { return 2*node + 1; }
void merge(int node, int idLeft, int idRight)
{
sum[node] = sum[idLeft] + sum[idRight];
mx[node] = max( mx[idLeft] , mx[idRight] );
}
void refresh(int node, int l, int r)
{
if( lazy[node] == -1 ) return;
lli lz = lazy[node];
lazy[node] = -1;
mx[node] = lz;
sum[node] = lz*(r - l + 1);
if( l == r ) return;
lazy[ getLeft(node) ] = lz;
lazy[ getRight(node) ] = lz;
}
void build(int node, int l, int r)
{
lazy[node] = -1;
if( l == r )
{
mx[node] = sum[node] = l;
return;
}
int m = ( l + r )/2;
build( getLeft(node) , l , m );
build( getRight(node) , m + 1 , r );
merge( node , getLeft(node) , getRight(node) );
}
void updateSet(int node, int l, int r, int i, int j, int v)
{
refresh( node , l , r );
if( j < l || r < i ) return;
if( i <= l && r <= j )
{
lazy[node] = v;
refresh( node , l , r );
return;
}
int m = ( l + r )/2;
updateSet( getLeft(node) , l , m , i , j , v );
updateSet( getRight(node) , m + 1 , r , i , j , v );
merge( node , getLeft(node) , getRight(node) );
}
int bs(int node, int l, int r, int k)
{
refresh( node , l , r );
if( mx[node] < k ) return r + 1;
if( l == r ) return l;
int m = ( l + r )/2;
refresh( getLeft(node) , l , m );
if( mx[ getLeft(node) ] >= k ) return bs( getLeft(node) , l , m , k );
return bs( getRight(node) , m + 1 , r , k );
}
lli querySum(int node, int l, int r, int i, int j)
{
refresh( node , l , r );
if( j < l || r < i ) return 0;
if( i <= l && r <= j ) return sum[node];
int m = ( l + r )/2;
lli sumLeft = querySum( getLeft(node) , l , m , i , j );
lli sumRight = querySum( getRight(node) , m + 1 , r , i , j );
return sumLeft + sumRight;
}
protected:
int mx[4*MAXN];
int lazy[4*MAXN];
lli sum[4*MAXN];
};
class SegmentTreeGCD
{
public:
int getLeft(int node) { return 2*node; }
int getRight(int node) { return 2*node + 1; }
void getNodes(int node, int l, int r, int i, int j);
void updateSet(int node, int l, int r, int i, int v)
{
if( i < l || r < i ) return;
if( l == r )
{
mdc[node] = v;
return;
}
int m = ( l + r )/2;
updateSet( getLeft(node) , l , m , i , v );
updateSet( getRight(node) , m + 1 , r , i , v );
mdc[node] = myGCD( mdc[ getLeft(node) ] , mdc[ getRight(node) ] );
}
int bsMultiple(int node, int l, int r, int k)
{
if( l == r ) return l;
int m = ( l + r )/2;
int valRight = mdc[ getRight(node) ];
if( valRight%k == 0 ) return bsMultiple( getLeft(node) , l , m , k );
return bsMultiple( getRight(node) , m + 1 , r , k );
}
int bsCoprime(int node, int l, int r, int k)
{
if( l == r ) return l;
int m = ( l + r )/2;
int valLeft = mdc[ getLeft(node) ];
int newValue = myGCD( valLeft , k );
if( newValue == 1 ) return bsCoprime( getLeft(node) , l , m , k );
return bsCoprime( getRight(node) , m + 1 , r , newValue );
}
int getMDC(int node) { return mdc[node]; }
SegmentTreeGCD()
{
for(int i = 0 ; i < 4*MAXN ; i++)
mdc[i] = 1;
}
protected:
int mdc[4*MAXN];
};
int n, q;
int v[MAXN];
vector<pii> intervals;
vector<int> intervalNodes;
vector< pair<pii,int> > breaks;
SegmentTreeGCD vGCD;
SegmentTreeOpts opts;
void SegmentTreeGCD::getNodes(int node, int l, int r, int i, int j)
{
if( j < l || r < i ) return;
if( i <= l && r <= j )
{
intervalNodes.push_back( node );
intervals.push_back( { l , r } );
return;
}
int m = ( l + r )/2;
getNodes( getLeft(node) , l , m , i , j );
getNodes( getRight(node) , m + 1 , r , i , j );
}
void getNodes(int L, int R)
{
intervals.clear();
intervalNodes.clear();
vGCD.getNodes( 1 , 1 , n , L , R );
}
int findOpt(int ind, int curVal)
{
for(int i = 0 ; i < (int)intervalNodes.size() ; i++)
{
int node = intervalNodes[i];
int curG = vGCD.getMDC(node);
if( myGCD( curVal , curG ) == 1 )
{
int L = intervals[i].first;
int R = intervals[i].second;
return vGCD.bsCoprime( node , L , R , curVal );
}
curVal = myGCD( curVal , curG );
}
return n + 1;
}
void update(int ind, int val)
{
v[ind] = val;
vGCD.updateSet( 1 , 1 , n , ind , val );
getNodes( 1 , ind );
int last = ind + 1;
int curVal = v[ind];
breaks.clear();
for(int i = (int)intervals.size() - 1 ; i >= 0 ; i--)
{
int node = intervalNodes[i];
int curG = vGCD.getMDC(node);
if( curG%curVal != 0 )
{
int L = intervals[i].first;
int R = intervals[i].second;
int p = vGCD.bsMultiple( node , L , R , curVal ) + 1;
breaks.push_back( { {p , last - 1} , curVal } );
last = p; i++;
curVal = myGCD( curVal , v[p - 1] );
}
}
if( last != 1 )
breaks.push_back( { {1 , last - 1} , curVal } );
getNodes( ind , n );
for(int i = 0 ; i < (int)breaks.size() ; i++)
{
int valBreak = breaks[i].second;
if( valBreak == 1 ) continue;
int Lbreak = breaks[i].first.first;
int Rbreak = breaks[i].first.second;
int optBreak = findOpt( ind , valBreak );
opts.updateSet( 1 , 1 , n , Lbreak , Rbreak , optBreak );
}
if( breaks.empty() || breaks.back().second != 1 ) return;
int getFirst = opts.bs( 1 , 1 , n , ind + 1 );
int R = breaks.back().first.second;
if( getFirst <= R )
opts.updateSet( 1 , 1 , n , getFirst , R , ind );
}
lli getSumPA(int L, int R)
{
lli sz = R - L + 1;
lli sum = L + R;
return ( sz*sum )/2;
}
lli query(int L, int R)
{
lli ans = -getSumPA( L , R );
int last = opts.bs( 1 , 1 , n , R + 1 );
if( L <= last - 1 )
ans += opts.querySum( 1 , 1 , n , L , last - 1 );
if( last <= R )
{
lli diff = R - max( L , last ) + 1;
ans += diff*(R + 1);
}
return ans;
}
int main()
{
scanf("%d %d",&n,&q);
opts.build( 1 , 1 , n );
for(int i = 1 ; i <= n ; i++)
{
int val;
scanf("%d",&val);
update( i , val );
}
for(int i = 1 ; i <= q ; i++)
{
int type;
scanf("%d",&type);
if( type == 1 )
{
int ind, val;
scanf("%d %d",&ind,&val);
update( ind , val );
}
if( type == 2 )
{
int L, R;
scanf("%d %d",&L,&R);
printf("%lld\n",query( L , R ));
}
}
}
Compilation message (stderr)
garaza.cpp: In function 'int main()':
garaza.cpp:333:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
333 | scanf("%d %d",&n,&q);
| ~~~~~^~~~~~~~~~~~~~~
garaza.cpp:340:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
340 | scanf("%d",&val);
| ~~~~~^~~~~~~~~~~
garaza.cpp:348:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
348 | scanf("%d",&type);
| ~~~~~^~~~~~~~~~~~
garaza.cpp:353:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
353 | scanf("%d %d",&ind,&val);
| ~~~~~^~~~~~~~~~~~~~~~~~~
garaza.cpp:360:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
360 | scanf("%d %d",&L,&R);
| ~~~~~^~~~~~~~~~~~~~~
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