diff --git a/tests/cpp/CMakeLists.txt b/tests/cpp/CMakeLists.txt
index 0402b3ee..5d141711 100644
--- a/tests/cpp/CMakeLists.txt
+++ b/tests/cpp/CMakeLists.txt
@@ -216,7 +216,7 @@ add_zkllvm_unit_test("algebra/fields/pallas_arithmetics/loop")
 add_zkllvm_unit_test("algebra/fields/pallas_arithmetics/mul")
 add_zkllvm_unit_test("algebra/fields/pallas_arithmetics/sub")
 
-# add_zkllvm_unit_test("algebra/fields/private_input/private_input_add")
+add_zkllvm_unit_test("algebra/fields/private_input/private_input_add")
 add_zkllvm_unit_test("algebra/fields/conversion/itogf_pallas")
 
 # int tests
@@ -252,6 +252,7 @@ add_zkllvm_unit_test("libc/memset/memset")
 # hashes
 add_zkllvm_unit_test("hashes/sha256/sha2_256")
 add_zkllvm_unit_test("hashes/poseidon/poseidon")
+add_zkllvm_unit_test("hashes/merkle_tree/poseidon/0x800_inputs/test")
 
 # recursive prover tests
 add_zkllvm_unit_test("algebra/recursive_prover/fri_lin_inter/fri_lin_inter")
diff --git a/tests/cpp/algebra/fields/private_input/private_input_add.cpp b/tests/cpp/algebra/fields/private_input/private_input_add.cpp
index c4477b83..7d9195d3 100644
--- a/tests/cpp/algebra/fields/private_input/private_input_add.cpp
+++ b/tests/cpp/algebra/fields/private_input/private_input_add.cpp
@@ -44,7 +44,7 @@ int main (int argc, char *argv[]){
 
 
     using BlueprintFieldType = typename pallas::base_field_type;
-    typename BlueprintFieldType::value_type a = read_field <BlueprintFieldType>(pubic_input_json, 0);
+    typename BlueprintFieldType::value_type a = read_field <BlueprintFieldType>(public_input_json, 0);
     typename BlueprintFieldType::value_type b = read_field <BlueprintFieldType>(private_input_json, 0);
 
     pallas_field_add(a, b);
diff --git a/tests/cpp/hashes/merkle_tree/poseidon/0x800_inputs/test.cpp b/tests/cpp/hashes/merkle_tree/poseidon/0x800_inputs/test.cpp
new file mode 100644
index 00000000..11fa589e
--- /dev/null
+++ b/tests/cpp/hashes/merkle_tree/poseidon/0x800_inputs/test.cpp
@@ -0,0 +1,136 @@
+#ifndef __ZKLLVM__
+#include "../../../../read_boost_json.hpp"
+#include <cstdint>
+#include <fstream>
+#endif
+
+#include <nil/crypto3/hash/algorithm/hash.hpp>
+#include <nil/crypto3/hash/poseidon.hpp>
+
+using namespace nil::crypto3;
+using namespace nil::crypto3::algebra::curves;
+
+typename pallas::base_field_type::value_type calculate_hash(
+    typename pallas::base_field_type::value_type a,
+    typename pallas::base_field_type::value_type b
+) {
+#ifdef __ZKLLVM__
+    return hash<hashes::poseidon> (a, b);
+#else
+    using poseidon_policy = nil::crypto3::hashes::detail::mina_poseidon_policy<typename pallas::base_field_type>;
+    using permutation_type = nil::crypto3::hashes::detail::poseidon_permutation<poseidon_policy>;
+    using state_type = typename permutation_type::state_type;
+
+    state_type state;
+    state[0] = 0;
+    state[1] = a;
+    state[2] = b;
+    permutation_type::permute(state);
+    return state[2];
+#endif
+}
+
+
+[[circuit]] typename pallas::base_field_type::value_type merkle_tree_poseidon (
+    std::array<typename pallas::base_field_type::value_type, 0x800> input) {
+
+        std::array<typename pallas::base_field_type::value_type, 0x400> layer_400_leaves;
+        std::size_t layer_400_size = 0x400;
+        std::array<typename pallas::base_field_type::value_type, 0x200> layer_200_leaves;
+        std::size_t layer_200_size = 0x200;
+        std::array<typename pallas::base_field_type::value_type, 0x100> layer_100_leaves;
+        std::size_t layer_100_size = 0x100;
+        std::array<typename pallas::base_field_type::value_type, 0x080> layer_080_leaves;
+        std::size_t layer_080_size = 0x080;
+        std::array<typename pallas::base_field_type::value_type, 0x040> layer_040_leaves;
+        std::size_t layer_040_size = 0x040;
+        std::array<typename pallas::base_field_type::value_type, 0x020> layer_020_leaves;
+        std::size_t layer_020_size = 0x020;
+        std::array<typename pallas::base_field_type::value_type, 0x010> layer_010_leaves;
+        std::size_t layer_010_size = 0x010;
+        std::array<typename pallas::base_field_type::value_type, 0x008> layer_008_leaves;
+        std::size_t layer_008_size = 0x008;
+        std::array<typename pallas::base_field_type::value_type, 0x004> layer_004_leaves;
+        std::size_t layer_004_size = 0x004;
+        std::array<typename pallas::base_field_type::value_type, 0x002> layer_002_leaves;
+        std::size_t layer_002_size = 0x002;
+        typename pallas::base_field_type::value_type root;
+
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_400_size; leaf_index++) {
+        layer_400_leaves[leaf_index] =
+            calculate_hash(input[2 * leaf_index], input[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_200_size; leaf_index++) {
+        layer_200_leaves[leaf_index] =
+            calculate_hash(layer_400_leaves[2 * leaf_index], layer_400_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_100_size; leaf_index++) {
+        layer_100_leaves[leaf_index] =
+            calculate_hash(layer_200_leaves[2 * leaf_index], layer_200_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_080_size; leaf_index++) {
+        layer_080_leaves[leaf_index] =
+            calculate_hash(layer_100_leaves[2 * leaf_index], layer_100_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_040_size; leaf_index++) {
+        layer_040_leaves[leaf_index] =
+            calculate_hash(layer_080_leaves[2 * leaf_index], layer_080_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_020_size; leaf_index++) {
+        layer_020_leaves[leaf_index] =
+            calculate_hash(layer_040_leaves[2 * leaf_index], layer_040_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_010_size; leaf_index++) {
+        layer_010_leaves[leaf_index] =
+            calculate_hash(layer_020_leaves[2 * leaf_index], layer_020_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_008_size; leaf_index++) {
+        layer_008_leaves[leaf_index] =
+            calculate_hash(layer_010_leaves[2 * leaf_index], layer_010_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_004_size; leaf_index++) {
+        layer_004_leaves[leaf_index] =
+            calculate_hash(layer_008_leaves[2 * leaf_index], layer_008_leaves[2 * leaf_index + 1]);
+    }
+
+    for (std::size_t leaf_index = 0; leaf_index < layer_002_size; leaf_index++) {
+        layer_002_leaves[leaf_index] =
+            calculate_hash(layer_004_leaves[2 * leaf_index], layer_004_leaves[2 * leaf_index + 1]);
+    }
+
+    typename pallas::base_field_type::value_type real_root = calculate_hash(layer_002_leaves[0], layer_002_leaves[1]);
+#ifndef __ZKLLVM__
+    std::cout << real_root.data << std::endl;
+#endif
+    return real_root;
+}
+
+
+#ifndef __ZKLLVM__
+
+int main (int argc, char *argv[]){
+    if (argc != 2) {
+        std::cerr << "one command line argument must be provided\n";
+        std::abort();
+    }
+
+    boost::json::value input_json = read_boost_json(std::string(argv[1]));
+
+    using BlueprintFieldType = typename pallas::base_field_type;
+
+    std::array<typename BlueprintFieldType::value_type, 0x800> inp = read_array_field <BlueprintFieldType, 0x800>(input_json, 0);
+
+    merkle_tree_poseidon(inp);
+
+    return 0;
+}
+#endif
diff --git a/tests/inputs/hashes/merkle_tree/poseidon/0x800_inputs/first.inp b/tests/inputs/hashes/merkle_tree/poseidon/0x800_inputs/first.inp
new file mode 100644
index 00000000..1803c3c6
--- /dev/null
+++ b/tests/inputs/hashes/merkle_tree/poseidon/0x800_inputs/first.inp
@@ -0,0 +1,2050 @@
+[ {"array": [
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
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+    {"field":9},
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+    {"field":11},
+    {"field":12},
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+    {"field":15},
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+    {"field":18},
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+    {"field":25},
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+    {"field":27},
+    {"field":28},
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+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
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+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
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+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
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+    {"field":15},
+    {"field":16},
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+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
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+    {"field":24},
+    {"field":25},
+    {"field":26},
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+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
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+    {"field":11},
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+    {"field":15},
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+    {"field":24},
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+    {"field":29},
+    {"field":30},
+    {"field":31},
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+    {"field":1},
+    {"field":2},
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+    {"field":4},
+    {"field":5},
+    {"field":6},
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+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
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+    {"field":11},
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+    {"field":13},
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+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
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+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
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+    {"field":4},
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+    {"field":18},
+    {"field":19},
+    {"field":20},
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+    {"field":25},
+    {"field":26},
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+    {"field":28},
+    {"field":29},
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+    {"field":31},
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+    {"field":1},
+    {"field":2},
+    {"field":3},
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+    {"field":5},
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+    {"field":14},
+    {"field":15},
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+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
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+    {"field":17},
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+    {"field":19},
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+    {"field":24},
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+    {"field":27},
+    {"field":28},
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+    {"field":31},
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+    {"field":1},
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+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
+    {"field":16},
+    {"field":17},
+    {"field":18},
+    {"field":19},
+    {"field":20},
+    {"field":21},
+    {"field":22},
+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
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+    {"field":8},
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+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
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+    {"field":23},
+    {"field":24},
+    {"field":25},
+    {"field":26},
+    {"field":27},
+    {"field":28},
+    {"field":29},
+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
+    {"field":7},
+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
+    {"field":15},
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+    {"field":18},
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+    {"field":22},
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+    {"field":27},
+    {"field":28},
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+    {"field":30},
+    {"field":31},
+    {"field":32},
+    {"field":1},
+    {"field":2},
+    {"field":3},
+    {"field":4},
+    {"field":5},
+    {"field":6},
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+    {"field":8},
+    {"field":9},
+    {"field":10},
+    {"field":11},
+    {"field":12},
+    {"field":13},
+    {"field":14},
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