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author | Jérémy Zurcher <jeremy@asynk.ch> | 2022-03-25 09:36:09 +0100 |
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committer | Jérémy Zurcher <jeremy@asynk.ch> | 2022-03-25 09:36:09 +0100 |
commit | 7b224832b3795baaa5334f5f8f352c7aec330ae5 (patch) | |
tree | 3efad8638cd3b9cfacbca5982a40360352d2ebd0 /05-advanced_algorithms_and_complexity | |
parent | 2bfae41038b8b5c82eb8109ca59d556fff65fadd (diff) | |
download | coursera-7b224832b3795baaa5334f5f8f352c7aec330ae5.zip coursera-7b224832b3795baaa5334f5f8f352c7aec330ae5.tar.gz |
Algorithms : add 05-advanced_algorithms_and_complexity 02-linear_programming
Diffstat (limited to '05-advanced_algorithms_and_complexity')
96 files changed, 923 insertions, 0 deletions
diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/00_linear_programming.pdf b/05-advanced_algorithms_and_complexity/02-linear_programming/00_linear_programming.pdf Binary files differnew file mode 100644 index 0000000..e954c13 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/00_linear_programming.pdf diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/energy_values.cpp b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/energy_values.cpp new file mode 100644 index 0000000..b7956a7 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/energy_values.cpp @@ -0,0 +1,104 @@ +#include <cmath> +#include <iostream> +#include <vector> + +const double EPS = 1e-6; +const int PRECISION = 20; + +typedef std::vector<double> Column; +typedef std::vector<double> Row; +typedef std::vector<Row> Matrix; + +struct Equation { + Equation(const Matrix &a, const Column &b): + a(a), + b(b) + {} + + Matrix a; + Column b; +}; + +struct Position { + Position(int column, int row): + column(column), + row(row) + {} + + int column; + int row; +}; + +Equation ReadEquation() { + int size; + std::cin >> size; + Matrix a(size, std::vector <double> (size, 0.0)); + Column b(size, 0.0); + for (int row = 0; row < size; ++row) { + for (int column = 0; column < size; ++column) + std::cin >> a[row][column]; + std::cin >> b[row]; + } + return Equation(a, b); +} + +Position SelectPivotElement( + const Matrix &a, + std::vector <bool> &used_rows, + std::vector <bool> &used_columns) { + // This algorithm selects the first free element. + // You'll need to improve it to pass the problem. + Position pivot_element(0, 0); + while (used_rows[pivot_element.row]) + ++pivot_element.row; + while (used_columns[pivot_element.column]) + ++pivot_element.column; + return pivot_element; +} + +void SwapLines(Matrix &a, Column &b, std::vector <bool> &used_rows, Position &pivot_element) { + std::swap(a[pivot_element.column], a[pivot_element.row]); + std::swap(b[pivot_element.column], b[pivot_element.row]); + std::swap(used_rows[pivot_element.column], used_rows[pivot_element.row]); + pivot_element.row = pivot_element.column; +} + +void ProcessPivotElement(Matrix &a, Column &b, const Position &pivot_element) { + // Write your code here +} + +void MarkPivotElementUsed(const Position &pivot_element, std::vector <bool> &used_rows, std::vector <bool> &used_columns) { + used_rows[pivot_element.row] = true; + used_columns[pivot_element.column] = true; +} + +Column SolveEquation(Equation equation) { + Matrix &a = equation.a; + Column &b = equation.b; + int size = a.size(); + + std::vector <bool> used_columns(size, false); + std::vector <bool> used_rows(size, false); + for (int step = 0; step < size; ++step) { + Position pivot_element = SelectPivotElement(a, used_rows, used_columns); + SwapLines(a, b, used_rows, pivot_element); + ProcessPivotElement(a, b, pivot_element); + MarkPivotElementUsed(pivot_element, used_rows, used_columns); + } + + return b; +} + +void PrintColumn(const Column &column) { + int size = column.size(); + std::cout.precision(PRECISION); + for (int row = 0; row < size; ++row) + std::cout << column[row] << std::endl; +} + +int main() { + Equation equation = ReadEquation(); + Column solution = SolveEquation(equation); + PrintColumn(solution); + return 0; +} diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/01 b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/01 new file mode 100644 index 0000000..573541a --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/01 @@ -0,0 +1 @@ +0 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/01.a b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/01.a new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/01.a diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/02 b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/02 new file mode 100644 index 0000000..9c4fceb --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/02 @@ -0,0 +1,5 @@ +4 +1 0 0 0 1 +0 1 0 0 5 +0 0 1 0 4 +0 0 0 1 3 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/02.a b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/02.a new file mode 100644 index 0000000..de24e7d --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/02.a @@ -0,0 +1,4 @@ +1 +5 +4 +3 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/03 b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/03 new file mode 100644 index 0000000..9fe7e97 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/03 @@ -0,0 +1,3 @@ +2 +1 1 3 +2 3 7 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/03.a b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/03.a new file mode 100644 index 0000000..5f1d0ec --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/03.a @@ -0,0 +1,2 @@ +2 +1 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/04 b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/04 new file mode 100644 index 0000000..20669c3 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/04 @@ -0,0 +1,3 @@ +2 +5 -5 -1 +-1 -2 -1 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/04.a b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/04.a new file mode 100644 index 0000000..6b11ee2 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/01-energy_values/tests/04.a @@ -0,0 +1,2 @@ +0.2 +0.4 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/diet.cpp b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/diet.cpp new file mode 100644 index 0000000..efe4e89 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/diet.cpp @@ -0,0 +1,56 @@ +#include <algorithm> +#include <iostream> +#include <vector> +#include <cstdio> +using namespace std; + +typedef vector<vector<double>> matrix; + +pair<int, vector<double>> solve_diet_problem( + int n, + int m, + matrix A, + vector<double> b, + vector<double> c) { + + // Write your code here + + return {0, vector<double>(m, 0)}; +} + +int main(){ + int n, m; + cin >> n >> m; + matrix A(n, vector<double>(m)); + for (int i = 0; i < n; i++) { + for (int j = 0; j < m; j++) { + cin >> A[i][j]; + } + } + vector<double> b(n); + for (int i = 0; i < n; i++) { + cin >> b[i]; + } + vector<double> c(m); + for (int i = 0; i < m; i++) { + cin >> c[i]; + } + + pair<int, vector<double>> ans = solve_diet_problem(n, m, A, b, c); + + switch (ans.first) { + case -1: + printf("No solution\n"); + break; + case 0: + printf("Bounded solution\n"); + for (int i = 0; i < m; i++) { + printf("%.18f%c", ans.second[i], " \n"[i + 1 == m]); + } + break; + case 1: + printf("Infinity\n"); + break; + } + return 0; +} diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/01 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/01 new file mode 100644 index 0000000..131e04c --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/01 @@ -0,0 +1,6 @@ +3 2 +-1 -1 +1 0 +0 1 +-1 2 2 +-1 2 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/01.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/01.a new file mode 100644 index 0000000..32b2fa2 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/01.a @@ -0,0 +1,2 @@ +Bounded solution +-0.00000000000000 2.00000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/02 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/02 new file mode 100644 index 0000000..311f32f --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/02 @@ -0,0 +1,5 @@ +2 2 +1 1 +-1 -1 +1 -2 +1 1 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/02.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/02.a new file mode 100644 index 0000000..3deb2e2 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/02.a @@ -0,0 +1 @@ +No solution diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/03 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/03 new file mode 100644 index 0000000..ea6c924 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/03 @@ -0,0 +1,4 @@ +1 3 +0 0 1 +3 +1 1 1 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/03.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/03.a new file mode 100644 index 0000000..3c62151 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/03.a @@ -0,0 +1 @@ +Infinity diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/04 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/04 new file mode 100644 index 0000000..276e03d --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/04 @@ -0,0 +1,4 @@ +1 1 +26 +4362 +27 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/04.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/04.a new file mode 100644 index 0000000..9e3294b --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/04.a @@ -0,0 +1,2 @@ +Bounded solution +167.76923076923077 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/05 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/05 new file mode 100644 index 0000000..aa71cd8 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/05 @@ -0,0 +1,4 @@ +1 1 +26 +8613 +27 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/05.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/05.a new file mode 100644 index 0000000..f4a95cc --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/05.a @@ -0,0 +1,2 @@ +Bounded solution +331.26923076923077 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/06 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/06 new file mode 100644 index 0000000..fbb4837 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/06 @@ -0,0 +1,4 @@ +1 1 +30 +1680 +-87 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/06.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/06.a new file mode 100644 index 0000000..54226c3 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/06.a @@ -0,0 +1,2 @@ +Bounded solution +-0.00000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/36 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/36 new file mode 100644 index 0000000..a1d491f --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/36 @@ -0,0 +1,6 @@ +3 1 +69 +-29 +-44 +6073 -2551 -3871 +-10 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/36.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/36.a new file mode 100644 index 0000000..7c370cf --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/36.a @@ -0,0 +1,2 @@ +Bounded solution +87.97727272727273 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/43 b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/43 new file mode 100644 index 0000000..db9dd15 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/43 @@ -0,0 +1,6 @@ +3 3 +-88 -2 59 +-46 -46 14 +37 49 78 +11412 -1040 -27722 +16 66 95 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/43.a b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/43.a new file mode 100644 index 0000000..3deb2e2 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/02-diet/tests/43.a @@ -0,0 +1 @@ +No solution diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/ad_allocation.cpp b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/ad_allocation.cpp new file mode 100644 index 0000000..88bd8e6 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/ad_allocation.cpp @@ -0,0 +1,56 @@ +#include <algorithm> +#include <iostream> +#include <vector> +#include <cstdio> +using namespace std; + +typedef vector<vector<double>> matrix; + +pair<int, vector<double>> allocate_ads( + int n, + int m, + matrix A, + vector<double> b, + vector<double> c) { + + // Write your code here + + return {0, vector<double>(m, 0)}; +} + +int main(){ + int n, m; + cin >> n >> m; + matrix A(n, vector<double>(m)); + for (int i = 0; i < n; i++) { + for (int j = 0; j < m; j++) { + cin >> A[i][j]; + } + } + vector<double> b(n); + for (int i = 0; i < n; i++) { + cin >> b[i]; + } + vector<double> c(m); + for (int i = 0; i < m; i++) { + cin >> c[i]; + } + + pair<int, vector<double>> ans = allocate_ads(n, m, A, b, c); + + switch (ans.first) { + case -1: + printf("No solution\n"); + break; + case 0: + printf("Bounded solution\n"); + for (int i = 0; i < m; i++) { + printf("%.18f%c", ans.second[i], " \n"[i + 1 == m]); + } + break; + case 1: + printf("Infinity\n"); + break; + } + return 0; +} diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/00 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/00 new file mode 100644 index 0000000..4d1319b --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/00 @@ -0,0 +1,5 @@ +2 2 +1 1 +-1 1 +10 -10 +1 2 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/00.a b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/00.a new file mode 100644 index 0000000..ef8a4cf --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/00.a @@ -0,0 +1,2 @@ +Bounded solution +10.000000000000000000 0.000000000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/01 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/01 new file mode 100644 index 0000000..131e04c --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/01 @@ -0,0 +1,6 @@ +3 2 +-1 -1 +1 0 +0 1 +-1 2 2 +-1 2 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/01.a b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/01.a new file mode 100644 index 0000000..71a03d8 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/01.a @@ -0,0 +1,2 @@ +Bounded solution +0.000000000000000000 2.000000000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/02 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/02 new file mode 100644 index 0000000..311f32f --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/02 @@ -0,0 +1,5 @@ +2 2 +1 1 +-1 -1 +1 -2 +1 1 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/02.a b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/02.a new file mode 100644 index 0000000..3deb2e2 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/02.a @@ -0,0 +1 @@ +No solution diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/03 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/03 new file mode 100644 index 0000000..5c2a7de --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/03 @@ -0,0 +1,6 @@ +3 3 +2 1 1 +1 3 2 +2 1 2 +180 300 240 +6 5 4 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/03.a b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/03.a new file mode 100644 index 0000000..263dd93 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/03.a @@ -0,0 +1,2 @@ +Bounded solution +48.000000000000000000 84.000000000000000000 0.000000000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/04 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/04 new file mode 100644 index 0000000..f9d16c5 --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/04 @@ -0,0 +1,10 @@ + 7 7 +-62 -40 -77 -91 46 -64 40 +52 11 41 51 40 -71 87 +-57 73 -66 89 18 11 91 +34 -68 87 -32 19 -1 37 +-74 24 -13 29 97 -91 -86 +69 24 -70 67 -68 -98 76 +89 86 -1 -2 -77 -62 -27 +769628 -834013 499389 616207 -254336 -994356 -56081 +-7 -80 -96 -87 -20 56 14 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/04.a b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/04.a new file mode 100644 index 0000000..3abe1da --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/04.a @@ -0,0 +1,2 @@ +Bounded solution +6031244.782175937667489052 2821669.525851520244032145 0.000000000000000000 0.000000000000000000 0.000000000000000000 12572587.836078854277729988 0.000000000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/05 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/05 new file mode 100644 index 0000000..4e919ac --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/05 @@ -0,0 +1,13 @@ +10 9 +17 39 69 62 72 -76 -57 -37 -16 +19 11 -84 -30 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a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/06 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/06 new file mode 100644 index 0000000..1b2625c --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/06 @@ -0,0 +1,6 @@ +3 2 +1 0 +0 1 +1 1 +2 2 3 +1 2 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/06.a b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/06.a new file mode 100644 index 0000000..3f0fd9b --- /dev/null +++ b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/06.a @@ -0,0 +1,2 @@ +Bounded solution +1.000000000000000000 2.000000000000000000 diff --git a/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/07 b/05-advanced_algorithms_and_complexity/02-linear_programming/03-ad_allocation/tests/07 new file mode 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