# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
321123 | CodeTiger927 | Relativnost (COCI15_relativnost) | C++14 | 4067 ms | 56728 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
using namespace std;
#include <iostream>
#include <cstring>
#define MAXN 100005
#define MOD 10007
#define MAXC 25
// Polynomial template
struct poly {
long long coefs[MAXC];
poly() {
memset(coefs,0,sizeof(coefs));
coefs[0] = 1;
}
poly(long long a,long long b) {
memset(coefs,0,sizeof(coefs));
coefs[0] = a % MOD;
coefs[1] = b % MOD;
}
poly operator *(const poly& b) {
poly ret;
ret.coefs[0] = 0;
for(int i = 0;i < MAXC;++i) {
for(int j = 0;j < MAXC;++j) {
if(i + j < MAXC) ret.coefs[i + j] += coefs[i] * b.coefs[j] % MOD;
}
}
return ret;
}
long long getSum(int n) {
long long res = 0;
for(int i = 0;i <= n;++i) {
res += coefs[i];
if(res > MOD) res -= MOD;
}
return res;
}
};
poly st[262144];
void update(int x,poly v,int l,int r,int p) {
if(l > x || r < x) return;
if(l == r) {
st[p] = v;
return;
}
int m = (l + r) / 2;
update(x,v,l,m,2 * p + 1);
update(x,v,m + 1,r,2 * p + 2);
st[p] = st[2 * p + 1] * st[2 * p + 2];
return;
}
void update(int x,poly v) {
update(x,v,0,MAXN,0);
}
poly getPoly(int a,int b,int l,int r,int p) {
if(l > b || r < a) return poly();
if(l >= a && r <= b) return st[p];
int m = (l + r) / 2;
return getPoly(a,b,l,m,2 * p + 1) * getPoly(a,b,m + 1,r,2 * p + 2);
}
poly getPoly(int a,int b) {
return getPoly(a,b,0,MAXN,0);
}
int N,C,Q;
long long arrA[MAXN],arrB[MAXN];
long long inv(long long a,long long b){
return 1 < a ? b - inv(b % a,a) * b / a : 1;
}
long long inv(long long a) {
return inv(a,MOD);
}
int main() {
long long prod = 1;
for(int i = 0;i < 262144;++i) {
st[i] = poly();
}
cin >> N >> C;
for(int i = 0;i < N;++i) {
cin >> arrA[i];
}
for(int i = 0;i < N;++i) {
cin >> arrB[i];
update(i,poly(arrB[i],arrA[i]));
prod = (prod * (arrA[i] + arrB[i])) % MOD;
}
cin >> Q;
for(int i = 0;i < Q;++i) {
int a,b,c;
cin >> a >> b >> c;
a--;
prod = (prod * inv(arrA[a] + arrB[a]) % MOD) * (b + c) % MOD;
update(a,poly(b,c));
// cout << prod << " " << getPoly(0,N - 1).getSum(0) << endl;
cout << ((prod - getPoly(0,N - 1).getSum(C - 1) + MOD) % MOD) << endl;
}
}
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