# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
599178 | _martynas | ASM (LMIO18_asm) | C++11 | 25 ms | 364 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.
#include <bits/stdc++.h>
using namespace std;
#define DEBUG(x) cerr << #x << " = " << x << "\n";
using ll = long long;
const int MXN = 55;
int n;
ll A[MXN];
string B[MXN];
ll X[MXN];
int main()
{
cin >> n;
for(int i = 0; i < n; i++) {
cin >> A[i] >> B[i];
}
if(n == 1) {
ll x = A[0];
ll x0 = stoll(B[0]);
stringstream sstr;
int commands = 0;
if(x0 != x) {
if(x0 > x) {
sstr << "add " << x0-x << "\n";
commands++;
}
else {
sstr << "multiply " << 0 << "\n";
commands++;
if(x0) {
sstr << "add " << x0 << "\n";
commands++;
}
}
}
commands++;
sstr << "print\n";
cout << commands << "\n";
cout << sstr.str();
return 0;
}
const int L = 17;
string best = "";
int best_commands = 10000;
int cnt = 0, ccnt = 0;
vector<int> bits;
// b0, b1 - spliting (printing) points
// never makes sense to multiply by 0:
// can be changed to mupltiply by 10^x and addition then print
for(int b = 0; b < (1<<L); b++) {
int temp = b;
vector<int> gaps;
while(temp) {
gaps.push_back(__builtin_ctz(temp));
temp >>= __builtin_ctz(temp)+1;
}
if(!is_sorted(gaps.begin(), gaps.end())) continue;
bits.push_back(b);
}
cerr << bits.size() << "\n";
bits = {0};
for(int b0 : bits) {
for(int b1 : bits) {
for(int k = 0; k < n; k++) {
X[k] = A[k];
}
// ax+b=x0
// ay+b=y0
bool flag = false;
int commands = 0;
vector<pair<ll, ll>> C;
int i = 0, j = 0;
ll x = A[0], y = A[1];
while(i < B[0].size() || j < B[1].size()) {
ll x0 = 0, y0 = 0;
// construct numbers until break or end
while(i < B[0].size()) {
x0 *= 10;
x0 += B[0][i]-'0';
i++;
if(((b0 >> (i-1)) & 1)) {
break;
}
}
while(j < B[1].size()) {
y0 *= 10;
y0 += B[1][j]-'0';
j++;
if(((b1 >> (j-1)) & 1)) {
break;
}
}
// ax+b=x0
// ay+b=y0 | (-1)
// a(x-y)=x0-y0
// a = x0-y0/(x-y)
// b = x0-ax
// (visos A[i] reiksmes skirtingos)
if(x == y || (x0-y0)%(x-y) != 0) {
flag = true; break;
}
ll a = (x0-y0)/(x-y);
ll b = x0-a*x;
if(a < 0 || b < 0) {
flag = true; break;
}
if(a != 1) {
commands++;
}
if(b != 0) {
commands++;
}
commands++;
if(1.0*a*x > 1.1e18 || 1.0*a*y > 1.1e18) {
flag = true; break;
}
x *= a; x += b;
y *= a; y += b;
C.push_back({a, b});
}
if(flag) continue;
if(commands < best_commands) {
for(int k = 0; k < n; k++) {
string s = "";
for(auto p : C) {
if(1.0*X[k]*p.first > 1.1e18) {
flag = true;
break;
}
X[k] *= p.first, X[k] += p.second;
s += to_string(X[k]);
}
if(B[k] != s) {
flag = true;
}
if(flag) break;
}
if(flag) continue;
best_commands = commands;
best = "";
for(auto p : C) {
if(p.first != 1) {
best += "multiply " + to_string(p.first) + "\n";
}
if(p.second != 0) {
best += "add " + to_string(p.second) + "\n";
}
best += "print\n";
}
}
// found answer
//return 0;
}
}
if(best == "") {
cout << "-1\n";
}
else {
cout << best_commands << "\n";
cout << best;
}
return 0;
}
/*
2
1 2
2 3
2
11 1122
22 2244
3
12 783206442672750426
0 6326442672750426
3 241046442672750426
*/
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