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Original file line number | Diff line number | Diff line change |
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#include <bits/stdc++.h> | ||
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using namespace std; | ||
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ifstream fin("SumUpThePrimesTL_UVA10419.in"); | ||
ofstream fout("SumUpThePrimesTL_UVA10419.out"); | ||
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const int maxP = 300; | ||
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bool dp[150][1001][15]; | ||
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bool compare(int x, int y) | ||
{ | ||
stringstream ss1; | ||
stringstream ss2; | ||
ss1 << x; | ||
ss2 << y; | ||
return ss1.str() < ss2.str(); | ||
} | ||
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bool solve(int i, int s, int c, int x, int t, vector<int> & path, vector<int> & primes) | ||
{ | ||
int sizeP = primes.size(); | ||
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if (i == primes.size()) | ||
{ | ||
return false; | ||
} | ||
else if (c == t) | ||
{ | ||
if (s == x) | ||
{ | ||
return true; | ||
} | ||
return false; | ||
} | ||
else if (s >= x) | ||
{ | ||
return false; | ||
} | ||
else if (dp[i][s][c] == false) | ||
{ | ||
return false; | ||
} | ||
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path[c] = primes[i]; | ||
if (solve(i + 1, s + primes[i], c + 1, x, t, path, primes) == true) | ||
{ | ||
return true; | ||
} | ||
else if (solve(i + 1, s, c, x, t, path, primes) == true) | ||
{ | ||
return true; | ||
} | ||
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dp[i][s][c] = false; | ||
return false; | ||
} | ||
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int main() | ||
{ | ||
vector<bool> isPrime(maxP + 1, true); | ||
isPrime[0] = false, isPrime[1] = false; | ||
vector<int> primes; | ||
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for (int i = 2; i <= maxP; ++i) | ||
{ | ||
if (isPrime[i] == true) | ||
{ | ||
for (int j = i * i; j <= maxP; j += i) | ||
{ | ||
isPrime[j] = false; | ||
} | ||
} | ||
} | ||
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primes.push_back(2); | ||
for (int x = 3; x <= 300; ++x) | ||
{ | ||
if (isPrime[x] == true) | ||
{ | ||
for (int c = 1; c <= 2; ++c) | ||
{ | ||
primes.push_back(x); | ||
} | ||
} | ||
} | ||
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sort(primes.begin(), primes.end(), compare); | ||
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int _case = 0, sizeP = primes.size(); | ||
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while (true) | ||
{ | ||
int x = 0, t = 0; | ||
fin >> x >> t; | ||
if (x + t == 0) | ||
break; | ||
++_case; | ||
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fout << "CASE " << _case << ":\n"; | ||
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vector<int> path(t); | ||
//vector<vector<vector<bool>>> dp(sizeP + 1, vector<vector<bool>>(x + 1, vector<bool>(t + 1, true))); | ||
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memset(dp, true, sizeof(dp)); | ||
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bool ans = solve(0, 0, 0, x, t, path, primes); | ||
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if (ans == false) | ||
{ | ||
fout << "No Solution.\n"; | ||
} | ||
else | ||
{ | ||
for (int i = 0; i <= t - 1; ++i) | ||
{ | ||
if (i > 0) | ||
fout << '+'; | ||
fout << path[i]; | ||
} | ||
fout << '\n'; | ||
} | ||
} | ||
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return 0; | ||
} |
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