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75 changes: 75 additions & 0 deletions ACTIV.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,75 @@
#include<bits/stdc++.h>
using namespace std;
#define MOD 100000000

bool compare(pair<long long int,long long int>a,pair<long long int,long long int> b)
{
if(a.second<b.second)
return true;
if(a.second==b.second)
if(a.first<b.first)
return true;

return false;

}

int main()
{
int n;
cin>>n;

while(n!=-1)
{
pair<long long int,long long int>p[n];
for(int i=0;i<n;i++)
{
cin>>p[i].first;
cin>>p[i].second;
}

sort(p,p+n,compare);

/*for(int i=0;i<n;i++)
{
cout<<p[i].first<<" "<<p[i].second<<endl;
}*/

long long dp[n];
memset(dp,0,sizeof(dp));
dp[0]=1;

for(int i=1;i<n;i++)
{
dp[i]=dp[i-1];
int start=0;int last=i,pos,mid;
while(last-start>1)
{

mid=(start+last)/2;
if(p[mid].second<=p[i].first)
{
start=mid;
}
else if(p[mid].second>p[i].first)
last=mid;
}
if(p[start].second>p[i].first)
dp[i]=(dp[i]%MOD+1%MOD)%MOD;
else
dp[i]=(dp[i]%MOD+dp[start]%MOD+1%MOD)%MOD;
/*for(int i=0;i<n;i++)
cout<<dp[i]<<" ";
cout<<endl;*/


}

cout<<setw(8)<<setfill('0')<<dp[n-1]<<endl;
//cout<<dp[n-1]<<endl;
cin>>n;


}
return 0;
}
88 changes: 88 additions & 0 deletions fibosum2.cpp
Original file line number Diff line number Diff line change
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// 2014-05-03
#include <cstdio>
#include <cstring>
using namespace std;
const int PRIME = 1000000007;
typedef long long matrix[2][2];

void mul(matrix m1, matrix m2, matrix& res) {
memset(res, 0, sizeof res);
for (int i = 0; i < 2; i++) {
for (int j = 0; j < 2; j++) {
for (int k = 0; k < 2; k++) {
res[i][j] += m1[i][k] * m2[k][j];
}
res[i][j] %= PRIME;
}
}
}

void pwr(matrix m, long long p, matrix& res) {
matrix t; memcpy(t, m, sizeof t);
res[0][1] = res[1][0] = 0;
res[0][0] = res[1][1] = 1;
while (p) {
if (p & 1) {
matrix tmp;
mul(t, res, tmp);
memcpy(res, tmp, sizeof res);
}
p >>= 1;
matrix tmp; memcpy(tmp, t, sizeof tmp);
mul(tmp, tmp, t);
}
}

void extended_euclid(long long a, long long b, long long &x, long long &y) {
long long xx = y = 0;
long long yy = x = 1;
while (b) {
long long q = a/b;
long long t = b; b = a%b; a = t;
t = xx; xx = x-q*xx; x = t;
t = yy; yy = y-q*yy; y = t;
}
}

long long mod_inverse(long long a, long long n) {
long long x, y;
extended_euclid(a, n, x, y);
return ((x%n)+n)%n;
}

void inv(matrix m, matrix& res) {
long long det = m[0][0] * m[1][1] - m[0][1] * m[1][0];
det = (det%PRIME + PRIME)%PRIME;
long long idet = mod_inverse(det, PRIME);
res[0][0] = (m[1][1]*idet)%PRIME;
res[0][1] = ((PRIME - m[0][1])*idet)%PRIME;
res[1][0] = ((PRIME - m[1][0])*idet)%PRIME;
res[1][1] = (m[0][0]*idet)%PRIME;
}

matrix id = {{1, 0}, {0, 1}};
matrix fib = {{0, 1}, {1, 1}};
matrix fib_pwr[65536];
matrix fib_inv[65536];

int main() {
memcpy(fib_pwr[0], id, sizeof(matrix));
for (int i = 1; i < 65536; i++) {
mul(fib_pwr[i-1], fib, fib_pwr[i]);
matrix t; memcpy(t, fib_pwr[i], sizeof(matrix));
t[0][0] = (t[0][0] - 1 + PRIME)%PRIME;
t[1][1] = (t[1][1] - 1 + PRIME)%PRIME;
inv(t, fib_inv[i]);
}
int T; scanf("%d", &T);
while (T--) {
long long c, k, N;
scanf("%lld %lld %lld", &c, &k, &N);
matrix num; pwr(fib_pwr[k], N, num);
num[0][0] = (num[0][0] - 1 + PRIME)%PRIME;
num[1][1] = (num[1][1] - 1 + PRIME)%PRIME;
matrix sum; mul(num, fib_inv[k], sum);
matrix res; mul(sum, fib_pwr[k+c], res);
printf("%lld\n", res[0][1]);
}
}
34 changes: 34 additions & 0 deletions flbrklin.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,34 @@
// 2009-05-01
#include <iostream>
#include <algorithm>
#include <set>
using namespace std;
int main()
{
int T,N,i,x,y;
pair<int,int> A[30000];
scanf("%d",&T);
while (T--)
{
scanf("%d",&N);
for (i=0; i<N; i++)
{
scanf("%d %d",&x,&y);
A[i]=make_pair(x-y,x+y);
}
sort(A,A+N);
set<int> S;
for (i=0; i<N; i++)
{
set<int>::iterator It=S.upper_bound(A[i].second);
if (It!=S.begin())
{
It--;
S.erase(It);
}
S.insert(A[i].second);
}
printf("%d\n",S.size());
}
return 0;
}