Оновити coins.c

This commit is contained in:
2026-03-29 22:44:38 +03:00
parent c08f97ee3f
commit 383fc06641

98
coins.c
View File

@@ -7,15 +7,60 @@
#define MAX_N 1024
#define WORDS ((MAX_N / 64) + 1)
#define ITERATIONS 10000000
#define NUMBER 86
#define NUMBER 999
//Artem
int main123(int n) {
int a = 0;
while (n != 0) {
if (n - 50 >= 0) {
n -= 50;
a++;
}
else {
if (n - 25 >= 0) {
n -= 25;
a++;
}
else {
if (n - 10 >= 0) {
n -= 10;
a++;
}
else {
if (n - 5 >= 0) {
n -= 5;
a++;
}
else {
if (n - 2 >= 0) {
n -= 2;
a++;
}
else {
if (n - 1 >= 0) {
n -= 1;
a++;
}
else {
break;
}
}
}
}
}
}
}
return a;
}
// ==========================================
// 1. TRADITIONAL DP (FOR-LOOP) APPROACH
// ==========================================
int min_coins_dp(int n, int* coins, int num_coins) {
int dp[MAX_N + 1];
dp[0] = 0;
for (int i = 1; i <= n; i++) {
dp[i] = 1000000; // Represent "infinity"
for (int c = 0; c < num_coins; c++) {
@@ -39,7 +84,7 @@ void shift_left_and_or(uint64_t* dest, const uint64_t* src, int shift) {
for (int i = WORDS - 1; i >= word_shift; i--) {
int src_idx = i - word_shift;
uint64_t val = src[src_idx] << bit_shift;
if (bit_shift > 0 && src_idx > 0) {
val |= (src[src_idx - 1] >> (64 - bit_shift));
}
@@ -51,13 +96,13 @@ int min_coins_bitwise(int n, int* coins, int num_coins) {
if (n == 0) return 0;
if (n > MAX_N) return -1;
uint64_t state[WORDS] = {0};
state[0] = 1ULL;
uint64_t state[WORDS] = { 0 };
state[0] = 1ULL;
uint64_t next_state[WORDS];
int steps = 0;
int target_word = n / 64;
int target_bit = n % 64;
int target_bit = n % 64;
uint64_t target_mask = 1ULL << target_bit;
while (1) {
@@ -85,13 +130,13 @@ int min_coins_bitwise_optimized(int n, int* coins, int num_coins) {
// How many 64-bit blocks do we ACTUALLY need for this 'n'?
int active_words = (n / 64) + 1;
// Allocate two arrays to act as our "Current" and "Next" states
uint64_t bufferA[WORDS] = {0};
uint64_t bufferB[WORDS] = {0};
bufferA[0] = 1ULL;
uint64_t bufferA[WORDS] = { 0 };
uint64_t bufferB[WORDS] = { 0 };
bufferA[0] = 1ULL;
// We will use pointers so we never have to use memcpy()!
uint64_t* state = bufferA;
uint64_t* next_state = bufferB;
@@ -102,7 +147,7 @@ int min_coins_bitwise_optimized(int n, int* coins, int num_coins) {
while (1) {
steps++;
// Manual clearing is faster than memset because we ONLY clear active_words
for (int i = 0; i < active_words; i++) {
next_state[i] = 0;
@@ -118,7 +163,7 @@ int min_coins_bitwise_optimized(int n, int* coins, int num_coins) {
for (int i = active_words - 1; i >= w_shift; i--) {
int src_idx = i - w_shift;
uint64_t val = state[src_idx] << b_shift;
if (b_shift > 0 && src_idx > 0) {
val |= (state[src_idx - 1] >> (64 - b_shift));
}
@@ -142,10 +187,10 @@ int min_coins_bitwise_optimized(int n, int* coins, int num_coins) {
// MAIN BENCHMARK
// ==========================================
int main() {
int ukraine_coins[] = {1, 2, 5, 10, 25, 50};
int ukraine_coins[] = { 1, 2, 5, 10, 25, 50 };
int num_coins = 6;
int n = NUMBER; // 868 cents (Answer: 17 coins + 10 + 5 + 2 + 1 = 21 coins)
printf("Evaluating N = %d over %d iterations...\n\n", n, ITERATIONS);
clock_t start, end;
@@ -158,7 +203,7 @@ int main() {
total_sum += min_coins_dp(n, ukraine_coins, num_coins);
}
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
cpu_time_used = ((double)(end - start)) / CLOCKS_PER_SEC;
printf("1. Traditional DP Time: %f seconds (Answer: %d)\n", cpu_time_used, total_sum / ITERATIONS);
// --- Benchmark Bitwise ---
@@ -168,17 +213,28 @@ int main() {
total_sum += min_coins_bitwise(n, ukraine_coins, num_coins);
}
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
cpu_time_used = ((double)(end - start)) / CLOCKS_PER_SEC;
printf("2. Native Bitwise Time: %f seconds (Answer: %d)\n", cpu_time_used, total_sum / ITERATIONS);
// --- Benchmark Bitwise Optimized---
// --- Benchmark Bitwise Optimized---
total_sum = 0; // Reset
start = clock();
for (int i = 0; i < ITERATIONS; i++) {
total_sum += min_coins_bitwise_optimized(n, ukraine_coins, num_coins);
}
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
cpu_time_used = ((double)(end - start)) / CLOCKS_PER_SEC;
printf("3. Optimized Bitwise Time: %f seconds (Answer: %d)\n", cpu_time_used, total_sum / ITERATIONS);
//Artem
total_sum = 0; // Reset
start = clock();
for (int i = 0; i < ITERATIONS; i++) {
total_sum += main123(n);
}
end = clock();
cpu_time_used = ((double)(end - start)) / CLOCKS_PER_SEC;
printf("3. Artemtime: %f seconds (Answer: %d)\n", cpu_time_used, total_sum / ITERATIONS);
return 0;
}