diff --git a/circom_circuits/hash/poseidon/poseidon_16_to_1_Jubjub.circom b/circom_circuits/hash/poseidon/poseidon_16_to_1_Jubjub.circom
index 02a7912..556b41b 100644
--- a/circom_circuits/hash/poseidon/poseidon_16_to_1_Jubjub.circom
+++ b/circom_circuits/hash/poseidon/poseidon_16_to_1_Jubjub.circom
@@ -467,22 +467,7 @@ template hash_16_to_1(){
 		perm.in[i] <== in[i];
 	}
 
-	out <== in[0] + perm.out[0] +
-			in[1] + perm.out[1] +
-			in[2] + perm.out[2] +
-			in[3] + perm.out[3] +
-			in[4] + perm.out[4] +
-			in[5] + perm.out[5] +
-			in[6] + perm.out[6] +
-			in[7] + perm.out[7] +
-			in[8] + perm.out[8] +
-			in[9] + perm.out[9] +
-			in[10] + perm.out[10] +
-			in[11] + perm.out[11] +
-			in[12] + perm.out[12] +
-			in[13] + perm.out[13] +
-			in[14] + perm.out[14] +
-			in[15] + perm.out[15];
+	out <== in[0] + perm.out[0];
 }
 
 //component main = hash_16_to_1();
\ No newline at end of file
diff --git a/circom_circuits/hash/poseidon/poseidon_2_to_1_Jubjub.circom b/circom_circuits/hash/poseidon/poseidon_2_to_1_Jubjub.circom
index 26e25dd..11de910 100644
--- a/circom_circuits/hash/poseidon/poseidon_2_to_1_Jubjub.circom
+++ b/circom_circuits/hash/poseidon/poseidon_2_to_1_Jubjub.circom
@@ -141,7 +141,7 @@ template hash_2_to_1(){
 	perm.in[0] <== in[0];
 	perm.in[1] <== in[1];
 
-	out <== in[0] + perm.out[0] + in[1] + perm.out[1];
+	out <== in[0] + perm.out[0];
 }
 
 //component main = hash_2_to_1();
\ No newline at end of file
diff --git a/circom_circuits/hash/poseidon/poseidon_4_to_1_Jubjub.circom b/circom_circuits/hash/poseidon/poseidon_4_to_1_Jubjub.circom
index 9a67981..500bfd0 100644
--- a/circom_circuits/hash/poseidon/poseidon_4_to_1_Jubjub.circom
+++ b/circom_circuits/hash/poseidon/poseidon_4_to_1_Jubjub.circom
@@ -182,7 +182,7 @@ template hash_4_to_1(){
 	perm.in[2] <== in[2];
 	perm.in[3] <== in[3];
 
-	out <== in[0] + perm.out[0] + in[1] + perm.out[1] + in[2] + perm.out[2] + in[3] + perm.out[3];
+	out <== in[0] + perm.out[0];
 }
 
 //component main = hash_4_to_1();
\ No newline at end of file
diff --git a/proof_of_leadership/circom/generate_inputs.py b/proof_of_leadership/circom/generate_inputs.py
index 0cfb01c..95aefe0 100755
--- a/proof_of_leadership/circom/generate_inputs.py
+++ b/proof_of_leadership/circom/generate_inputs.py
@@ -450,7 +450,7 @@ def poseidon(state):
 				state[j] += cst[64 + i*2 + j]
 				state[j] = state[j]**5
 			state = poseidon_linear_layer_2_to_1(state)
-		return state[0] + state[1] + original_state[0] + original_state[1]
+		return state[0] + original_state[0]
 	if len(state) == 4:
 		original_state = state
 		cst = poseidon_round_constant_4_to_1()
@@ -469,10 +469,7 @@ def poseidon(state):
 				state[j] += cst[72 + i*4 + j]
 				state[j] = state[j]**5
 			state = poseidon_external_linear_layer_4_to_1(state)
-		h = F(0)
-		for i in range(4):
-			h += state[i] + original_state[i]
-		return h
+		return state[0] + original_state[0]
 	if len(state) == 16:
 		original_state = state
 		cst = poseidon_round_constant_16_to_1()
@@ -491,10 +488,7 @@ def poseidon(state):
 				state[j] += cst[121 + i*16 + j]
 				state[j] = state[j]**5
 			state = poseidon_external_linear_layer_16_to_1(state)
-		h = F(0)
-		for i in range(16):
-			h += state[i] + original_state[i]
-		return h
+		return state[0] + original_state[0]
 
 def poseidon_linear_layer_2_to_1(state):
 	M = Matrix(F,[[2,1],[1,2]])